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/verilog2/DivGoldschmidt.v
0,0 → 1,217
// ============================================================================
// __
// \\__/ o\ (C) 2017-2018 Robert Finch, Waterloo
// \ __ / All rights reserved.
// \/_// robfinch<remove>@finitron.ca
// ||
//
// DivGoldschmidt.v
//
//
// 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"
 
module DivGoldschmidt(rst, clk, ld, a, b, q, done, lzcnt);
parameter FPWID=32;
parameter WHOLE=16;
parameter POINTS=16;
parameter LEFT=1'b1;
localparam SIZE=FPWID+WHOLE;
localparam POINTS2 = POINTS+WHOLE;
input rst;
input clk;
input ld;
input [FPWID-1:0] a;
input [FPWID-1:0] b;
output reg [FPWID*2-1:0] q;
output reg done;
output reg [7:0] lzcnt;
parameter IDLE = 2'd0;
parameter DIV = 2'd1;
parameter DONE = 2'd2;
parameter DIV2 = 2'd3;
 
integer n;
// Scale D so it is between 0 < D < 1 (shift)
reg [SIZE-1:0] F;
reg [SIZE*3-1:0] N, D;
wire [SIZE*3-1:0] N1, D1;
assign N1 = N * F;
assign D1 = D * F;
reg [1:0] state = IDLE;
reg [7:0] count = 0;
reg [7:0] lzcnt2;
wire [7:0] shft;
 
// Count the leading zeros on the b side input. Determines how much
// shifting is required.
always @*
begin
lzcnt2 = 8'd0;
if (b[FPWID-1]==1'b0)
for (n = FPWID-2; n >= 0; n = n - 1)
if(b[n] && lzcnt2==8'd0)
lzcnt2 = (FPWID-1)-n;
end
 
 
// Count the leading zeros in the output. the float divider uses this.
always @*
begin
lzcnt = 8'd0;
if (q[FPWID*2-1]==1'b0)
for (n = FPWID*2-2; n >= 0; n = n - 1)
if(q[n] && lzcnt==8'd0)
lzcnt = (FPWID*2-1)-n;
end
 
wire shift_left = lzcnt2 > WHOLE;
assign shft = shift_left ? lzcnt2-WHOLE : WHOLE-lzcnt2;
//assign done = (state==IDLE && !ld)||state==DONE;
 
always @(posedge clk)
if (rst) begin
done <= 1'b0;
count <= 6'd0;
state <= IDLE;
end
else begin
done <= 1'b0;
case(state)
IDLE:
begin
if (ld) begin
// Shifting the numerator and denomintor right or left using a barrel
// or funnel shifter is what gives Goldschmidt a lot of it's performance.
// Most of the divide is being performed by shifting.
// For most floating point numbers shifting left isn't required as the
// number is always between 1.0 and 2.0. Instead typically only a single
// shift to the right is required. For fixed point numbers however, we
// probably want to be able to shift left, hence the LEFT parameter.
// With no left shifting the only impact is for denormal numbers which
// take longer for the divide to converge.
if (shift_left) begin
if (LEFT) begin
N <= {16'd0,a,{WHOLE{1'b0}}} << shft;
D <= {16'd0,b,{WHOLE{1'd0}}} << shft;
F <= {16'd2,{POINTS2{1'b0}}} - ({b,{WHOLE{1'd0}}} << shft);
end
else begin
N <= {16'd0,a,{WHOLE{1'b0}}};
D <= {16'd0,b,{WHOLE{1'd0}}};
F <= {16'd2,{POINTS2{1'b0}}} - ({b,{WHOLE{1'd0}}});
end
end
else begin
N <= {16'd0,a,{WHOLE{1'b0}}} >> shft;
D <= {16'd0,b,{WHOLE{1'd0}}} >> shft;
F <= {16'd2,{POINTS2{1'b0}}} - ({b,{WHOLE{1'd0}}} >> shft);
end
count <= 0;
state <= DIV;
end
end
DIV:
begin
$display("C: %d N: %x D: %x F: %x", count, N,D,F);
N <= N1[SIZE*3-1:POINTS2] + N1[POINTS2-1];
D <= D1[SIZE*3-1:POINTS2] + D1[POINTS2-1];
F <= {16'd2,{POINTS2{1'd0}}} - (D1[SIZE*3-1:POINTS2] + D1[POINTS2-1]);
// q <= N1[SIZE*2-1:POINTS2] + N1[POINTS2-1];
if (D[SIZE*3-1:0]=={2'h1,{POINTS2{1'd0}}})
state <= DONE;
count <= count + 1;
end
DONE:
begin
done <= 1'b1;
q <= N[SIZE*3-1:0];
state <= IDLE;
end
endcase
end
 
endmodule
 
module G_divider_tb();
parameter FPWID=4;
reg rst;
reg clk;
reg ld;
wire done;
wire [FPWID*2-1:0] qo;
reg [3:0] state;
reg [3:0] a, b;
reg [7:0] count;
 
initial begin
clk = 1;
rst = 0;
#100 rst = 1;
#100 rst = 0;
#100 ld = 1;
#150 ld = 0;
end
 
always #10 clk = ~clk; // 50 MHz
 
always @(posedge clk)
if (rst) begin
state <= 3'd0;
count = 0;
end
else begin
case(state)
3'd0:
begin
ld <= 1;
a <= count[7:4];
b <= count[3:0];
end
3'd1:
if (done) begin
$display("C: %x Q: %x f: %x", count, qo, f0);
state <= 3'd2;
end
3'd2:
begin
count <= count + 8'd1;
state <= 3'd0;
end
endcase
end
 
DivGoldschmidt #(.FPWID(FPWID),.WHOLE(1),.POINTS(3)) u00
(
.rst(rst),
.clk(clk),
.ld(ld),
// .sgn(1'b1),
// .isDivi(1'b0),
.a(a),
.b(b),
// .imm(64'd123),
.q(qo),
// .ro(ro),
// .dvByZr(),
.done(done),
.lzcnt()
);
 
endmodule
 
/verilog2/F32ToF80.v
0,0 → 1,81
// ============================================================================
// __
// \\__/ o\ (C) 2006-2019 Robert Finch, Waterloo
// \ __ / All rights reserved.
// \/_// robfinch<remove>@finitron.ca
// ||
//
//
//
// 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"
 
module F32ToF80(a, o);
input [31:0] a;
output [79:0] o;
 
reg signo;
reg [14:0] expo;
reg [63:0] mano;
 
assign o = {signo,expo,mano};
 
wire signi;
wire [7:0] expi;
wire [22:0] mani;
wire xinf; // exponent infinite
wire vz; // value zero
wire xz; // exponent zero
 
fpDecomp #(32) u1 (.i(a), .sgn(signi), .exp(expi), .man(mani), .xinf(xinf), .xz(xz), .vz(vz) );
wire [5:0] lz;
cntlz32 u2 ({mani,9'b111111111}, lz); // '1' bit already unhidden due to denormalized number
 
always @*
begin
// sign out always just = sign in
signo <= signi;
 
// special check for zero
if (vz) begin
expo <= 1'd0;
mano <= 1'd0;
end
// convert infinity / nan
// infinity in = infinity out
else if (xinf) begin
expo <= 15'h7fff;
mano <= {mani,41'b0};
end
// convert denormal
// a denormal was really a number with an exponent of -126
// this value is easily represented in the double format
// it may be possible to normalize the value if it isn't
// zero
else if (xz) begin
expo <= 15'h3fff - 8'h7e - lz; // 32767 "zero" -1022 - lz
mano <= {mani << (lz + 1), 41'd0}; // shift one more to hide leading '1'
end
// convert typical number
// adjust exponent, copy mantissa
else begin
expo <= expi + 15'h3fff - 8'h7f;
mano <= {mani,41'd0};
end
end
 
endmodule
/verilog2/F80ToF32.v
0,0 → 1,89
// ============================================================================
// __
// \\__/ o\ (C) 2006-2019 Robert Finch, Waterloo
// \ __ / All rights reserved.
// \/_// robfinch<remove>@finitron.ca
// ||
//
//
//
// 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"
 
module F80ToF32(a, o);
input [79:0] a;
output [31:0] o;
 
reg signo;
reg [7:0] expo;
reg [22:0] mano;
 
assign o = {signo,expo,mano};
 
wire signi;
wire [14:0] expi;
wire [63:0] mani;
wire xinf; // exponent infinite
wire vz; // value zero
wire xz; // exponent zero
 
fpDecomp #(80) u1 (.i(a), .sgn(signi), .exp(expi), .man(mani), .xinf(xinf), .xz(xz), .vz(vz) );
 
always @*
begin
// sign out always just = sign in
signo = signi;
 
// special check for zero
if (vz) begin
expo <= 0;
mano <= 0;
end
// convert infinity / nan
// infinity in = infinity out
else if (xinf) begin
expo <= 8'h7f;
mano <= mani[63:41];
end
// convert denormal
// a denormal was really a number with an exponent of -126
// this value is easily represented in the double format
// it may be possible to normalize the value if it isn't
// zero
else if (xz) begin
expo <= 8'h00;
mano <= 23'h0;
end
// convert typical number
// adjust exponent, copy mantissa
else begin
if (expi < 15'h3fff - 8'h7f) begin
expo <= 8'h00; // zero
mano <= 23'h0;
end
else if (expi > 15'h3fff + 8'h7f) begin
expo <= 8'hFF; // Infinity
mano <= 23'h0;
end
else begin
expo <= expi - 15'h3fff + 8'h7f;
mano <= mani[63:41];
end
end
end
 
endmodule
/verilog2/README.md
0,0 → 1,5
# Verilog2
 
This directory is a newer version of the cores with the 'WID' parameter renamed to 'FPWID' to avoid conflicts with other modules.
Also experimental and not completely implemented is the 'EXTRA_BITS' definition. EXTRA_BITS defines the number of extra precision bits to maintain for a given precision. Setting this to zero should generate the usual cores. It's sometimes desirable to maintain extra precision bits in registers which are trimmed off when a transfer to memory occurs. The EXTRA_BITS definition must be a multiple of four.
 
/verilog2/RsqrteLUT.sv
0,0 → 1,1024
RsqrteLUT[0] = 32'h3f800000;
RsqrteLUT[1] = 32'h42000000;
RsqrteLUT[2] = 32'h41b504f3;
RsqrteLUT[3] = 32'h4193cd3a;
RsqrteLUT[4] = 32'h41800000;
RsqrteLUT[5] = 32'h4164f92e;
RsqrteLUT[6] = 32'h415105eb;
RsqrteLUT[7] = 32'h4141848f;
RsqrteLUT[8] = 32'h413504f3;
RsqrteLUT[9] = 32'h412aaaaa;
RsqrteLUT[10] = 32'h4121e89b;
RsqrteLUT[11] = 32'h411a5fb1;
RsqrteLUT[12] = 32'h4113cd3a;
RsqrteLUT[13] = 32'h410e00d5;
RsqrteLUT[14] = 32'h4108d677;
RsqrteLUT[15] = 32'h410432a5;
RsqrteLUT[16] = 32'h41000000;
RsqrteLUT[17] = 32'h40f85b42;
RsqrteLUT[18] = 32'h40f15bee;
RsqrteLUT[19] = 32'h40eaebf5;
RsqrteLUT[20] = 32'h40e4f92e;
RsqrteLUT[21] = 32'h40df7482;
RsqrteLUT[22] = 32'h40da5149;
RsqrteLUT[23] = 32'h40d584cd;
RsqrteLUT[24] = 32'h40d105eb;
RsqrteLUT[25] = 32'h40cccccc;
RsqrteLUT[26] = 32'h40c8d2ab;
RsqrteLUT[27] = 32'h40c511a2;
RsqrteLUT[28] = 32'h40c1848f;
RsqrteLUT[29] = 32'h40be26eb;
RsqrteLUT[30] = 32'h40baf4ba;
RsqrteLUT[31] = 32'h40b7ea73;
RsqrteLUT[32] = 32'h40b504f3;
RsqrteLUT[33] = 32'h40b24169;
RsqrteLUT[34] = 32'h40af9d53;
RsqrteLUT[35] = 32'h40ad166c;
RsqrteLUT[36] = 32'h40aaaaaa;
RsqrteLUT[37] = 32'h40a85835;
RsqrteLUT[38] = 32'h40a61d5f;
RsqrteLUT[39] = 32'h40a3f8a2;
RsqrteLUT[40] = 32'h40a1e89b;
RsqrteLUT[41] = 32'h409fec03;
RsqrteLUT[42] = 32'h409e01b2;
RsqrteLUT[43] = 32'h409c2895;
RsqrteLUT[44] = 32'h409a5fb1;
RsqrteLUT[45] = 32'h4098a61e;
RsqrteLUT[46] = 32'h4096fb06;
RsqrteLUT[47] = 32'h40955da1;
RsqrteLUT[48] = 32'h4093cd3a;
RsqrteLUT[49] = 32'h40924924;
RsqrteLUT[50] = 32'h4090d0c2;
RsqrteLUT[51] = 32'h408f6380;
RsqrteLUT[52] = 32'h408e00d5;
RsqrteLUT[53] = 32'h408ca83f;
RsqrteLUT[54] = 32'h408b5947;
RsqrteLUT[55] = 32'h408a137d;
RsqrteLUT[56] = 32'h4088d677;
RsqrteLUT[57] = 32'h4087a1d2;
RsqrteLUT[58] = 32'h40867531;
RsqrteLUT[59] = 32'h4085503d;
RsqrteLUT[60] = 32'h408432a5;
RsqrteLUT[61] = 32'h40831c19;
RsqrteLUT[62] = 32'h40820c52;
RsqrteLUT[63] = 32'h4081030a;
RsqrteLUT[64] = 32'h40800000;
RsqrteLUT[65] = 32'h407e05ec;
RsqrteLUT[66] = 32'h407c1764;
RsqrteLUT[67] = 32'h407a33f9;
RsqrteLUT[68] = 32'h40785b42;
RsqrteLUT[69] = 32'h40768cdb;
RsqrteLUT[70] = 32'h4074c866;
RsqrteLUT[71] = 32'h40730d89;
RsqrteLUT[72] = 32'h40715bee;
RsqrteLUT[73] = 32'h406fb344;
RsqrteLUT[74] = 32'h406e133d;
RsqrteLUT[75] = 32'h406c7b90;
RsqrteLUT[76] = 32'h406aebf5;
RsqrteLUT[77] = 32'h40696429;
RsqrteLUT[78] = 32'h4067e3ed;
RsqrteLUT[79] = 32'h40666b02;
RsqrteLUT[80] = 32'h4064f92e;
RsqrteLUT[81] = 32'h40638e38;
RsqrteLUT[82] = 32'h406229ec;
RsqrteLUT[83] = 32'h4060cc15;
RsqrteLUT[84] = 32'h405f7482;
RsqrteLUT[85] = 32'h405e2304;
RsqrteLUT[86] = 32'h405cd76d;
RsqrteLUT[87] = 32'h405b9192;
RsqrteLUT[88] = 32'h405a5149;
RsqrteLUT[89] = 32'h4059166a;
RsqrteLUT[90] = 32'h4057e0ce;
RsqrteLUT[91] = 32'h4056b050;
RsqrteLUT[92] = 32'h405584cd;
RsqrteLUT[93] = 32'h40545e22;
RsqrteLUT[94] = 32'h40533c2d;
RsqrteLUT[95] = 32'h40521ed0;
RsqrteLUT[96] = 32'h405105eb;
RsqrteLUT[97] = 32'h404ff161;
RsqrteLUT[98] = 32'h404ee115;
RsqrteLUT[99] = 32'h404dd4ed;
RsqrteLUT[100] = 32'h404ccccc;
RsqrteLUT[101] = 32'h404bc89b;
RsqrteLUT[102] = 32'h404ac83f;
RsqrteLUT[103] = 32'h4049cba1;
RsqrteLUT[104] = 32'h4048d2ab;
RsqrteLUT[105] = 32'h4047dd45;
RsqrteLUT[106] = 32'h4046eb5a;
RsqrteLUT[107] = 32'h4045fcd5;
RsqrteLUT[108] = 32'h404511a2;
RsqrteLUT[109] = 32'h404429ae;
RsqrteLUT[110] = 32'h404344e6;
RsqrteLUT[111] = 32'h40426336;
RsqrteLUT[112] = 32'h4041848f;
RsqrteLUT[113] = 32'h4040a8dd;
RsqrteLUT[114] = 32'h403fd011;
RsqrteLUT[115] = 32'h403efa1b;
RsqrteLUT[116] = 32'h403e26eb;
RsqrteLUT[117] = 32'h403d5671;
RsqrteLUT[118] = 32'h403c889f;
RsqrteLUT[119] = 32'h403bbd66;
RsqrteLUT[120] = 32'h403af4ba;
RsqrteLUT[121] = 32'h403a2e8b;
RsqrteLUT[122] = 32'h40396ace;
RsqrteLUT[123] = 32'h4038a974;
RsqrteLUT[124] = 32'h4037ea73;
RsqrteLUT[125] = 32'h40372dbe;
RsqrteLUT[126] = 32'h40367349;
RsqrteLUT[127] = 32'h4035bb09;
RsqrteLUT[128] = 32'h403504f3;
RsqrteLUT[129] = 32'h403450fc;
RsqrteLUT[130] = 32'h40339f19;
RsqrteLUT[131] = 32'h4032ef41;
RsqrteLUT[132] = 32'h40324169;
RsqrteLUT[133] = 32'h40319589;
RsqrteLUT[134] = 32'h4030eb95;
RsqrteLUT[135] = 32'h40304386;
RsqrteLUT[136] = 32'h402f9d53;
RsqrteLUT[137] = 32'h402ef8f2;
RsqrteLUT[138] = 32'h402e565b;
RsqrteLUT[139] = 32'h402db587;
RsqrteLUT[140] = 32'h402d166c;
RsqrteLUT[141] = 32'h402c7903;
RsqrteLUT[142] = 32'h402bdd45;
RsqrteLUT[143] = 32'h402b432a;
RsqrteLUT[144] = 32'h402aaaaa;
RsqrteLUT[145] = 32'h402a13bf;
RsqrteLUT[146] = 32'h40297e62;
RsqrteLUT[147] = 32'h4028ea8b;
RsqrteLUT[148] = 32'h40285835;
RsqrteLUT[149] = 32'h4027c758;
RsqrteLUT[150] = 32'h402737ef;
RsqrteLUT[151] = 32'h4026a9f3;
RsqrteLUT[152] = 32'h40261d5f;
RsqrteLUT[153] = 32'h4025922c;
RsqrteLUT[154] = 32'h40250854;
RsqrteLUT[155] = 32'h40247fd3;
RsqrteLUT[156] = 32'h4023f8a2;
RsqrteLUT[157] = 32'h402372bc;
RsqrteLUT[158] = 32'h4022ee1d;
RsqrteLUT[159] = 32'h40226abe;
RsqrteLUT[160] = 32'h4021e89b;
RsqrteLUT[161] = 32'h402167ae;
RsqrteLUT[162] = 32'h4020e7f4;
RsqrteLUT[163] = 32'h40206967;
RsqrteLUT[164] = 32'h401fec03;
RsqrteLUT[165] = 32'h401f6fc3;
RsqrteLUT[166] = 32'h401ef4a4;
RsqrteLUT[167] = 32'h401e7a9f;
RsqrteLUT[168] = 32'h401e01b2;
RsqrteLUT[169] = 32'h401d89d8;
RsqrteLUT[170] = 32'h401d130d;
RsqrteLUT[171] = 32'h401c9d4e;
RsqrteLUT[172] = 32'h401c2895;
RsqrteLUT[173] = 32'h401bb4e0;
RsqrteLUT[174] = 32'h401b422b;
RsqrteLUT[175] = 32'h401ad072;
RsqrteLUT[176] = 32'h401a5fb1;
RsqrteLUT[177] = 32'h4019efe6;
RsqrteLUT[178] = 32'h4019810c;
RsqrteLUT[179] = 32'h4019131f;
RsqrteLUT[180] = 32'h4018a61e;
RsqrteLUT[181] = 32'h40183a05;
RsqrteLUT[182] = 32'h4017cecf;
RsqrteLUT[183] = 32'h4017647b;
RsqrteLUT[184] = 32'h4016fb06;
RsqrteLUT[185] = 32'h4016926b;
RsqrteLUT[186] = 32'h40162aa9;
RsqrteLUT[187] = 32'h4015c3bc;
RsqrteLUT[188] = 32'h40155da1;
RsqrteLUT[189] = 32'h4014f857;
RsqrteLUT[190] = 32'h401493d9;
RsqrteLUT[191] = 32'h40143025;
RsqrteLUT[192] = 32'h4013cd3a;
RsqrteLUT[193] = 32'h40136b13;
RsqrteLUT[194] = 32'h401309af;
RsqrteLUT[195] = 32'h4012a90b;
RsqrteLUT[196] = 32'h40124924;
RsqrteLUT[197] = 32'h4011e9f9;
RsqrteLUT[198] = 32'h40118b86;
RsqrteLUT[199] = 32'h40112dca;
RsqrteLUT[200] = 32'h4010d0c2;
RsqrteLUT[201] = 32'h4010746c;
RsqrteLUT[202] = 32'h401018c6;
RsqrteLUT[203] = 32'h400fbdcd;
RsqrteLUT[204] = 32'h400f6380;
RsqrteLUT[205] = 32'h400f09dc;
RsqrteLUT[206] = 32'h400eb0e0;
RsqrteLUT[207] = 32'h400e5888;
RsqrteLUT[208] = 32'h400e00d5;
RsqrteLUT[209] = 32'h400da9c2;
RsqrteLUT[210] = 32'h400d534f;
RsqrteLUT[211] = 32'h400cfd79;
RsqrteLUT[212] = 32'h400ca83f;
RsqrteLUT[213] = 32'h400c539f;
RsqrteLUT[214] = 32'h400bff97;
RsqrteLUT[215] = 32'h400bac25;
RsqrteLUT[216] = 32'h400b5947;
RsqrteLUT[217] = 32'h400b06fd;
RsqrteLUT[218] = 32'h400ab543;
RsqrteLUT[219] = 32'h400a6419;
RsqrteLUT[220] = 32'h400a137d;
RsqrteLUT[221] = 32'h4009c36d;
RsqrteLUT[222] = 32'h400973e8;
RsqrteLUT[223] = 32'h400924eb;
RsqrteLUT[224] = 32'h4008d677;
RsqrteLUT[225] = 32'h40088888;
RsqrteLUT[226] = 32'h40083b1e;
RsqrteLUT[227] = 32'h4007ee37;
RsqrteLUT[228] = 32'h4007a1d2;
RsqrteLUT[229] = 32'h400755ed;
RsqrteLUT[230] = 32'h40070a86;
RsqrteLUT[231] = 32'h4006bf9e;
RsqrteLUT[232] = 32'h40067531;
RsqrteLUT[233] = 32'h40062b3f;
RsqrteLUT[234] = 32'h4005e1c7;
RsqrteLUT[235] = 32'h400598c7;
RsqrteLUT[236] = 32'h4005503d;
RsqrteLUT[237] = 32'h4005082a;
RsqrteLUT[238] = 32'h4004c08b;
RsqrteLUT[239] = 32'h4004795f;
RsqrteLUT[240] = 32'h400432a5;
RsqrteLUT[241] = 32'h4003ec5b;
RsqrteLUT[242] = 32'h4003a682;
RsqrteLUT[243] = 32'h40036117;
RsqrteLUT[244] = 32'h40031c19;
RsqrteLUT[245] = 32'h4002d788;
RsqrteLUT[246] = 32'h40029361;
RsqrteLUT[247] = 32'h40024fa5;
RsqrteLUT[248] = 32'h40020c52;
RsqrteLUT[249] = 32'h4001c966;
RsqrteLUT[250] = 32'h400186e2;
RsqrteLUT[251] = 32'h400144c3;
RsqrteLUT[252] = 32'h4001030a;
RsqrteLUT[253] = 32'h4000c1b4;
RsqrteLUT[254] = 32'h400080c1;
RsqrteLUT[255] = 32'h40004030;
RsqrteLUT[256] = 32'h40000000;
RsqrteLUT[257] = 32'h3fff805f;
RsqrteLUT[258] = 32'h3fff017d;
RsqrteLUT[259] = 32'h3ffe8357;
RsqrteLUT[260] = 32'h3ffe05ec;
RsqrteLUT[261] = 32'h3ffd8939;
RsqrteLUT[262] = 32'h3ffd0d3d;
RsqrteLUT[263] = 32'h3ffc91f7;
RsqrteLUT[264] = 32'h3ffc1764;
RsqrteLUT[265] = 32'h3ffb9d82;
RsqrteLUT[266] = 32'h3ffb2451;
RsqrteLUT[267] = 32'h3ffaabcf;
RsqrteLUT[268] = 32'h3ffa33f9;
RsqrteLUT[269] = 32'h3ff9bcce;
RsqrteLUT[270] = 32'h3ff9464d;
RsqrteLUT[271] = 32'h3ff8d074;
RsqrteLUT[272] = 32'h3ff85b42;
RsqrteLUT[273] = 32'h3ff7e6b4;
RsqrteLUT[274] = 32'h3ff772ca;
RsqrteLUT[275] = 32'h3ff6ff83;
RsqrteLUT[276] = 32'h3ff68cdb;
RsqrteLUT[277] = 32'h3ff61ad3;
RsqrteLUT[278] = 32'h3ff5a968;
RsqrteLUT[279] = 32'h3ff5389a;
RsqrteLUT[280] = 32'h3ff4c866;
RsqrteLUT[281] = 32'h3ff458cc;
RsqrteLUT[282] = 32'h3ff3e9ca;
RsqrteLUT[283] = 32'h3ff37b5f;
RsqrteLUT[284] = 32'h3ff30d89;
RsqrteLUT[285] = 32'h3ff2a048;
RsqrteLUT[286] = 32'h3ff23399;
RsqrteLUT[287] = 32'h3ff1c77b;
RsqrteLUT[288] = 32'h3ff15bee;
RsqrteLUT[289] = 32'h3ff0f0f0;
RsqrteLUT[290] = 32'h3ff08680;
RsqrteLUT[291] = 32'h3ff01c9d;
RsqrteLUT[292] = 32'h3fefb344;
RsqrteLUT[293] = 32'h3fef4a76;
RsqrteLUT[294] = 32'h3feee231;
RsqrteLUT[295] = 32'h3fee7a74;
RsqrteLUT[296] = 32'h3fee133d;
RsqrteLUT[297] = 32'h3fedac8c;
RsqrteLUT[298] = 32'h3fed4660;
RsqrteLUT[299] = 32'h3fece0b7;
RsqrteLUT[300] = 32'h3fec7b90;
RsqrteLUT[301] = 32'h3fec16ea;
RsqrteLUT[302] = 32'h3febb2c4;
RsqrteLUT[303] = 32'h3feb4f1e;
RsqrteLUT[304] = 32'h3feaebf5;
RsqrteLUT[305] = 32'h3fea8949;
RsqrteLUT[306] = 32'h3fea2719;
RsqrteLUT[307] = 32'h3fe9c564;
RsqrteLUT[308] = 32'h3fe96429;
RsqrteLUT[309] = 32'h3fe90367;
RsqrteLUT[310] = 32'h3fe8a31d;
RsqrteLUT[311] = 32'h3fe8434a;
RsqrteLUT[312] = 32'h3fe7e3ed;
RsqrteLUT[313] = 32'h3fe78505;
RsqrteLUT[314] = 32'h3fe72691;
RsqrteLUT[315] = 32'h3fe6c890;
RsqrteLUT[316] = 32'h3fe66b02;
RsqrteLUT[317] = 32'h3fe60de5;
RsqrteLUT[318] = 32'h3fe5b138;
RsqrteLUT[319] = 32'h3fe554fc;
RsqrteLUT[320] = 32'h3fe4f92e;
RsqrteLUT[321] = 32'h3fe49dce;
RsqrteLUT[322] = 32'h3fe442db;
RsqrteLUT[323] = 32'h3fe3e854;
RsqrteLUT[324] = 32'h3fe38e38;
RsqrteLUT[325] = 32'h3fe33488;
RsqrteLUT[326] = 32'h3fe2db40;
RsqrteLUT[327] = 32'h3fe28262;
RsqrteLUT[328] = 32'h3fe229ec;
RsqrteLUT[329] = 32'h3fe1d1dd;
RsqrteLUT[330] = 32'h3fe17a35;
RsqrteLUT[331] = 32'h3fe122f3;
RsqrteLUT[332] = 32'h3fe0cc15;
RsqrteLUT[333] = 32'h3fe0759c;
RsqrteLUT[334] = 32'h3fe01f86;
RsqrteLUT[335] = 32'h3fdfc9d3;
RsqrteLUT[336] = 32'h3fdf7482;
RsqrteLUT[337] = 32'h3fdf1f93;
RsqrteLUT[338] = 32'h3fdecb03;
RsqrteLUT[339] = 32'h3fde76d4;
RsqrteLUT[340] = 32'h3fde2304;
RsqrteLUT[341] = 32'h3fddcf92;
RsqrteLUT[342] = 32'h3fdd7c7f;
RsqrteLUT[343] = 32'h3fdd29c8;
RsqrteLUT[344] = 32'h3fdcd76d;
RsqrteLUT[345] = 32'h3fdc856f;
RsqrteLUT[346] = 32'h3fdc33cb;
RsqrteLUT[347] = 32'h3fdbe282;
RsqrteLUT[348] = 32'h3fdb9192;
RsqrteLUT[349] = 32'h3fdb40fc;
RsqrteLUT[350] = 32'h3fdaf0be;
RsqrteLUT[351] = 32'h3fdaa0d8;
RsqrteLUT[352] = 32'h3fda5149;
RsqrteLUT[353] = 32'h3fda0211;
RsqrteLUT[354] = 32'h3fd9b32f;
RsqrteLUT[355] = 32'h3fd964a2;
RsqrteLUT[356] = 32'h3fd9166a;
RsqrteLUT[357] = 32'h3fd8c886;
RsqrteLUT[358] = 32'h3fd87af6;
RsqrteLUT[359] = 32'h3fd82db9;
RsqrteLUT[360] = 32'h3fd7e0ce;
RsqrteLUT[361] = 32'h3fd79435;
RsqrteLUT[362] = 32'h3fd747ee;
RsqrteLUT[363] = 32'h3fd6fbf7;
RsqrteLUT[364] = 32'h3fd6b050;
RsqrteLUT[365] = 32'h3fd664f9;
RsqrteLUT[366] = 32'h3fd619f2;
RsqrteLUT[367] = 32'h3fd5cf38;
RsqrteLUT[368] = 32'h3fd584cd;
RsqrteLUT[369] = 32'h3fd53aaf;
RsqrteLUT[370] = 32'h3fd4f0de;
RsqrteLUT[371] = 32'h3fd4a75a;
RsqrteLUT[372] = 32'h3fd45e22;
RsqrteLUT[373] = 32'h3fd41535;
RsqrteLUT[374] = 32'h3fd3cc92;
RsqrteLUT[375] = 32'h3fd3843b;
RsqrteLUT[376] = 32'h3fd33c2d;
RsqrteLUT[377] = 32'h3fd2f469;
RsqrteLUT[378] = 32'h3fd2acee;
RsqrteLUT[379] = 32'h3fd265bb;
RsqrteLUT[380] = 32'h3fd21ed0;
RsqrteLUT[381] = 32'h3fd1d82d;
RsqrteLUT[382] = 32'h3fd191d0;
RsqrteLUT[383] = 32'h3fd14bbb;
RsqrteLUT[384] = 32'h3fd105eb;
RsqrteLUT[385] = 32'h3fd0c061;
RsqrteLUT[386] = 32'h3fd07b1c;
RsqrteLUT[387] = 32'h3fd0361d;
RsqrteLUT[388] = 32'h3fcff161;
RsqrteLUT[389] = 32'h3fcface9;
RsqrteLUT[390] = 32'h3fcf68b5;
RsqrteLUT[391] = 32'h3fcf24c4;
RsqrteLUT[392] = 32'h3fcee115;
RsqrteLUT[393] = 32'h3fce9da9;
RsqrteLUT[394] = 32'h3fce5a7e;
RsqrteLUT[395] = 32'h3fce1795;
RsqrteLUT[396] = 32'h3fcdd4ed;
RsqrteLUT[397] = 32'h3fcd9285;
RsqrteLUT[398] = 32'h3fcd505d;
RsqrteLUT[399] = 32'h3fcd0e75;
RsqrteLUT[400] = 32'h3fcccccc;
RsqrteLUT[401] = 32'h3fcc8b62;
RsqrteLUT[402] = 32'h3fcc4a37;
RsqrteLUT[403] = 32'h3fcc094a;
RsqrteLUT[404] = 32'h3fcbc89b;
RsqrteLUT[405] = 32'h3fcb8829;
RsqrteLUT[406] = 32'h3fcb47f3;
RsqrteLUT[407] = 32'h3fcb07fb;
RsqrteLUT[408] = 32'h3fcac83f;
RsqrteLUT[409] = 32'h3fca88bf;
RsqrteLUT[410] = 32'h3fca497a;
RsqrteLUT[411] = 32'h3fca0a70;
RsqrteLUT[412] = 32'h3fc9cba1;
RsqrteLUT[413] = 32'h3fc98d0d;
RsqrteLUT[414] = 32'h3fc94eb2;
RsqrteLUT[415] = 32'h3fc91092;
RsqrteLUT[416] = 32'h3fc8d2ab;
RsqrteLUT[417] = 32'h3fc894fc;
RsqrteLUT[418] = 32'h3fc85787;
RsqrteLUT[419] = 32'h3fc81a4a;
RsqrteLUT[420] = 32'h3fc7dd45;
RsqrteLUT[421] = 32'h3fc7a077;
RsqrteLUT[422] = 32'h3fc763e1;
RsqrteLUT[423] = 32'h3fc72782;
RsqrteLUT[424] = 32'h3fc6eb5a;
RsqrteLUT[425] = 32'h3fc6af68;
RsqrteLUT[426] = 32'h3fc673ac;
RsqrteLUT[427] = 32'h3fc63826;
RsqrteLUT[428] = 32'h3fc5fcd5;
RsqrteLUT[429] = 32'h3fc5c1b9;
RsqrteLUT[430] = 32'h3fc586d3;
RsqrteLUT[431] = 32'h3fc54c20;
RsqrteLUT[432] = 32'h3fc511a2;
RsqrteLUT[433] = 32'h3fc4d758;
RsqrteLUT[434] = 32'h3fc49d42;
RsqrteLUT[435] = 32'h3fc4635e;
RsqrteLUT[436] = 32'h3fc429ae;
RsqrteLUT[437] = 32'h3fc3f031;
RsqrteLUT[438] = 32'h3fc3b6e6;
RsqrteLUT[439] = 32'h3fc37dcd;
RsqrteLUT[440] = 32'h3fc344e6;
RsqrteLUT[441] = 32'h3fc30c30;
RsqrteLUT[442] = 32'h3fc2d3ac;
RsqrteLUT[443] = 32'h3fc29b59;
RsqrteLUT[444] = 32'h3fc26336;
RsqrteLUT[445] = 32'h3fc22b45;
RsqrteLUT[446] = 32'h3fc1f383;
RsqrteLUT[447] = 32'h3fc1bbf1;
RsqrteLUT[448] = 32'h3fc1848f;
RsqrteLUT[449] = 32'h3fc14d5c;
RsqrteLUT[450] = 32'h3fc11658;
RsqrteLUT[451] = 32'h3fc0df83;
RsqrteLUT[452] = 32'h3fc0a8dd;
RsqrteLUT[453] = 32'h3fc07265;
RsqrteLUT[454] = 32'h3fc03c1c;
RsqrteLUT[455] = 32'h3fc00600;
RsqrteLUT[456] = 32'h3fbfd011;
RsqrteLUT[457] = 32'h3fbf9a51;
RsqrteLUT[458] = 32'h3fbf64bd;
RsqrteLUT[459] = 32'h3fbf2f56;
RsqrteLUT[460] = 32'h3fbefa1b;
RsqrteLUT[461] = 32'h3fbec50d;
RsqrteLUT[462] = 32'h3fbe902b;
RsqrteLUT[463] = 32'h3fbe5b75;
RsqrteLUT[464] = 32'h3fbe26eb;
RsqrteLUT[465] = 32'h3fbdf28c;
RsqrteLUT[466] = 32'h3fbdbe58;
RsqrteLUT[467] = 32'h3fbd8a4f;
RsqrteLUT[468] = 32'h3fbd5671;
RsqrteLUT[469] = 32'h3fbd22bd;
RsqrteLUT[470] = 32'h3fbcef34;
RsqrteLUT[471] = 32'h3fbcbbd4;
RsqrteLUT[472] = 32'h3fbc889f;
RsqrteLUT[473] = 32'h3fbc5593;
RsqrteLUT[474] = 32'h3fbc22b0;
RsqrteLUT[475] = 32'h3fbbeff7;
RsqrteLUT[476] = 32'h3fbbbd66;
RsqrteLUT[477] = 32'h3fbb8aff;
RsqrteLUT[478] = 32'h3fbb58bf;
RsqrteLUT[479] = 32'h3fbb26a9;
RsqrteLUT[480] = 32'h3fbaf4ba;
RsqrteLUT[481] = 32'h3fbac2f3;
RsqrteLUT[482] = 32'h3fba9153;
RsqrteLUT[483] = 32'h3fba5fdc;
RsqrteLUT[484] = 32'h3fba2e8b;
RsqrteLUT[485] = 32'h3fb9fd62;
RsqrteLUT[486] = 32'h3fb9cc5f;
RsqrteLUT[487] = 32'h3fb99b83;
RsqrteLUT[488] = 32'h3fb96ace;
RsqrteLUT[489] = 32'h3fb93a3e;
RsqrteLUT[490] = 32'h3fb909d5;
RsqrteLUT[491] = 32'h3fb8d992;
RsqrteLUT[492] = 32'h3fb8a974;
RsqrteLUT[493] = 32'h3fb8797c;
RsqrteLUT[494] = 32'h3fb849aa;
RsqrteLUT[495] = 32'h3fb819fc;
RsqrteLUT[496] = 32'h3fb7ea73;
RsqrteLUT[497] = 32'h3fb7bb0f;
RsqrteLUT[498] = 32'h3fb78bd0;
RsqrteLUT[499] = 32'h3fb75cb5;
RsqrteLUT[500] = 32'h3fb72dbe;
RsqrteLUT[501] = 32'h3fb6feeb;
RsqrteLUT[502] = 32'h3fb6d03c;
RsqrteLUT[503] = 32'h3fb6a1b1;
RsqrteLUT[504] = 32'h3fb67349;
RsqrteLUT[505] = 32'h3fb64505;
RsqrteLUT[506] = 32'h3fb616e3;
RsqrteLUT[507] = 32'h3fb5e8e5;
RsqrteLUT[508] = 32'h3fb5bb09;
RsqrteLUT[509] = 32'h3fb58d50;
RsqrteLUT[510] = 32'h3fb55fb9;
RsqrteLUT[511] = 32'h3fb53245;
RsqrteLUT[512] = 32'h3fb504f3;
RsqrteLUT[513] = 32'h3fb4d7c2;
RsqrteLUT[514] = 32'h3fb4aab4;
RsqrteLUT[515] = 32'h3fb47dc7;
RsqrteLUT[516] = 32'h3fb450fc;
RsqrteLUT[517] = 32'h3fb42451;
RsqrteLUT[518] = 32'h3fb3f7c8;
RsqrteLUT[519] = 32'h3fb3cb60;
RsqrteLUT[520] = 32'h3fb39f19;
RsqrteLUT[521] = 32'h3fb372f2;
RsqrteLUT[522] = 32'h3fb346ec;
RsqrteLUT[523] = 32'h3fb31b06;
RsqrteLUT[524] = 32'h3fb2ef41;
RsqrteLUT[525] = 32'h3fb2c39b;
RsqrteLUT[526] = 32'h3fb29816;
RsqrteLUT[527] = 32'h3fb26cb0;
RsqrteLUT[528] = 32'h3fb24169;
RsqrteLUT[529] = 32'h3fb21642;
RsqrteLUT[530] = 32'h3fb1eb3b;
RsqrteLUT[531] = 32'h3fb1c052;
RsqrteLUT[532] = 32'h3fb19589;
RsqrteLUT[533] = 32'h3fb16ade;
RsqrteLUT[534] = 32'h3fb14052;
RsqrteLUT[535] = 32'h3fb115e4;
RsqrteLUT[536] = 32'h3fb0eb95;
RsqrteLUT[537] = 32'h3fb0c164;
RsqrteLUT[538] = 32'h3fb09752;
RsqrteLUT[539] = 32'h3fb06d5d;
RsqrteLUT[540] = 32'h3fb04386;
RsqrteLUT[541] = 32'h3fb019cd;
RsqrteLUT[542] = 32'h3faff032;
RsqrteLUT[543] = 32'h3fafc6b4;
RsqrteLUT[544] = 32'h3faf9d53;
RsqrteLUT[545] = 32'h3faf740f;
RsqrteLUT[546] = 32'h3faf4ae8;
RsqrteLUT[547] = 32'h3faf21df;
RsqrteLUT[548] = 32'h3faef8f2;
RsqrteLUT[549] = 32'h3faed022;
RsqrteLUT[550] = 32'h3faea76e;
RsqrteLUT[551] = 32'h3fae7ed6;
RsqrteLUT[552] = 32'h3fae565b;
RsqrteLUT[553] = 32'h3fae2dfc;
RsqrteLUT[554] = 32'h3fae05b9;
RsqrteLUT[555] = 32'h3faddd92;
RsqrteLUT[556] = 32'h3fadb587;
RsqrteLUT[557] = 32'h3fad8d97;
RsqrteLUT[558] = 32'h3fad65c3;
RsqrteLUT[559] = 32'h3fad3e0a;
RsqrteLUT[560] = 32'h3fad166c;
RsqrteLUT[561] = 32'h3faceee9;
RsqrteLUT[562] = 32'h3facc782;
RsqrteLUT[563] = 32'h3faca035;
RsqrteLUT[564] = 32'h3fac7903;
RsqrteLUT[565] = 32'h3fac51ec;
RsqrteLUT[566] = 32'h3fac2aef;
RsqrteLUT[567] = 32'h3fac040d;
RsqrteLUT[568] = 32'h3fabdd45;
RsqrteLUT[569] = 32'h3fabb697;
RsqrteLUT[570] = 32'h3fab9003;
RsqrteLUT[571] = 32'h3fab698a;
RsqrteLUT[572] = 32'h3fab432a;
RsqrteLUT[573] = 32'h3fab1ce4;
RsqrteLUT[574] = 32'h3faaf6b7;
RsqrteLUT[575] = 32'h3faad0a4;
RsqrteLUT[576] = 32'h3faaaaaa;
RsqrteLUT[577] = 32'h3faa84ca;
RsqrteLUT[578] = 32'h3faa5f03;
RsqrteLUT[579] = 32'h3faa3954;
RsqrteLUT[580] = 32'h3faa13bf;
RsqrteLUT[581] = 32'h3fa9ee43;
RsqrteLUT[582] = 32'h3fa9c8df;
RsqrteLUT[583] = 32'h3fa9a394;
RsqrteLUT[584] = 32'h3fa97e62;
RsqrteLUT[585] = 32'h3fa95948;
RsqrteLUT[586] = 32'h3fa93446;
RsqrteLUT[587] = 32'h3fa90f5c;
RsqrteLUT[588] = 32'h3fa8ea8b;
RsqrteLUT[589] = 32'h3fa8c5d2;
RsqrteLUT[590] = 32'h3fa8a130;
RsqrteLUT[591] = 32'h3fa87ca7;
RsqrteLUT[592] = 32'h3fa85835;
RsqrteLUT[593] = 32'h3fa833da;
RsqrteLUT[594] = 32'h3fa80f98;
RsqrteLUT[595] = 32'h3fa7eb6c;
RsqrteLUT[596] = 32'h3fa7c758;
RsqrteLUT[597] = 32'h3fa7a35b;
RsqrteLUT[598] = 32'h3fa77f76;
RsqrteLUT[599] = 32'h3fa75ba7;
RsqrteLUT[600] = 32'h3fa737ef;
RsqrteLUT[601] = 32'h3fa7144e;
RsqrteLUT[602] = 32'h3fa6f0c4;
RsqrteLUT[603] = 32'h3fa6cd50;
RsqrteLUT[604] = 32'h3fa6a9f3;
RsqrteLUT[605] = 32'h3fa686ad;
RsqrteLUT[606] = 32'h3fa6637d;
RsqrteLUT[607] = 32'h3fa64063;
RsqrteLUT[608] = 32'h3fa61d5f;
RsqrteLUT[609] = 32'h3fa5fa71;
RsqrteLUT[610] = 32'h3fa5d799;
RsqrteLUT[611] = 32'h3fa5b4d8;
RsqrteLUT[612] = 32'h3fa5922c;
RsqrteLUT[613] = 32'h3fa56f95;
RsqrteLUT[614] = 32'h3fa54d15;
RsqrteLUT[615] = 32'h3fa52aaa;
RsqrteLUT[616] = 32'h3fa50854;
RsqrteLUT[617] = 32'h3fa4e614;
RsqrteLUT[618] = 32'h3fa4c3e9;
RsqrteLUT[619] = 32'h3fa4a1d3;
RsqrteLUT[620] = 32'h3fa47fd3;
RsqrteLUT[621] = 32'h3fa45de7;
RsqrteLUT[622] = 32'h3fa43c11;
RsqrteLUT[623] = 32'h3fa41a4f;
RsqrteLUT[624] = 32'h3fa3f8a2;
RsqrteLUT[625] = 32'h3fa3d70a;
RsqrteLUT[626] = 32'h3fa3b586;
RsqrteLUT[627] = 32'h3fa39417;
RsqrteLUT[628] = 32'h3fa372bc;
RsqrteLUT[629] = 32'h3fa35176;
RsqrteLUT[630] = 32'h3fa33044;
RsqrteLUT[631] = 32'h3fa30f26;
RsqrteLUT[632] = 32'h3fa2ee1d;
RsqrteLUT[633] = 32'h3fa2cd27;
RsqrteLUT[634] = 32'h3fa2ac45;
RsqrteLUT[635] = 32'h3fa28b78;
RsqrteLUT[636] = 32'h3fa26abe;
RsqrteLUT[637] = 32'h3fa24a18;
RsqrteLUT[638] = 32'h3fa22985;
RsqrteLUT[639] = 32'h3fa20906;
RsqrteLUT[640] = 32'h3fa1e89b;
RsqrteLUT[641] = 32'h3fa1c843;
RsqrteLUT[642] = 32'h3fa1a7fe;
RsqrteLUT[643] = 32'h3fa187cc;
RsqrteLUT[644] = 32'h3fa167ae;
RsqrteLUT[645] = 32'h3fa147a3;
RsqrteLUT[646] = 32'h3fa127ab;
RsqrteLUT[647] = 32'h3fa107c6;
RsqrteLUT[648] = 32'h3fa0e7f4;
RsqrteLUT[649] = 32'h3fa0c835;
RsqrteLUT[650] = 32'h3fa0a888;
RsqrteLUT[651] = 32'h3fa088ef;
RsqrteLUT[652] = 32'h3fa06967;
RsqrteLUT[653] = 32'h3fa049f3;
RsqrteLUT[654] = 32'h3fa02a90;
RsqrteLUT[655] = 32'h3fa00b41;
RsqrteLUT[656] = 32'h3f9fec03;
RsqrteLUT[657] = 32'h3f9fccd8;
RsqrteLUT[658] = 32'h3f9fadbf;
RsqrteLUT[659] = 32'h3f9f8eb8;
RsqrteLUT[660] = 32'h3f9f6fc3;
RsqrteLUT[661] = 32'h3f9f50e1;
RsqrteLUT[662] = 32'h3f9f3210;
RsqrteLUT[663] = 32'h3f9f1351;
RsqrteLUT[664] = 32'h3f9ef4a4;
RsqrteLUT[665] = 32'h3f9ed608;
RsqrteLUT[666] = 32'h3f9eb77e;
RsqrteLUT[667] = 32'h3f9e9906;
RsqrteLUT[668] = 32'h3f9e7a9f;
RsqrteLUT[669] = 32'h3f9e5c4a;
RsqrteLUT[670] = 32'h3f9e3e06;
RsqrteLUT[671] = 32'h3f9e1fd3;
RsqrteLUT[672] = 32'h3f9e01b2;
RsqrteLUT[673] = 32'h3f9de3a2;
RsqrteLUT[674] = 32'h3f9dc5a3;
RsqrteLUT[675] = 32'h3f9da7b5;
RsqrteLUT[676] = 32'h3f9d89d8;
RsqrteLUT[677] = 32'h3f9d6c0c;
RsqrteLUT[678] = 32'h3f9d4e51;
RsqrteLUT[679] = 32'h3f9d30a7;
RsqrteLUT[680] = 32'h3f9d130d;
RsqrteLUT[681] = 32'h3f9cf585;
RsqrteLUT[682] = 32'h3f9cd80c;
RsqrteLUT[683] = 32'h3f9cbaa5;
RsqrteLUT[684] = 32'h3f9c9d4e;
RsqrteLUT[685] = 32'h3f9c8007;
RsqrteLUT[686] = 32'h3f9c62d1;
RsqrteLUT[687] = 32'h3f9c45ab;
RsqrteLUT[688] = 32'h3f9c2895;
RsqrteLUT[689] = 32'h3f9c0b90;
RsqrteLUT[690] = 32'h3f9bee9b;
RsqrteLUT[691] = 32'h3f9bd1b6;
RsqrteLUT[692] = 32'h3f9bb4e0;
RsqrteLUT[693] = 32'h3f9b981b;
RsqrteLUT[694] = 32'h3f9b7b66;
RsqrteLUT[695] = 32'h3f9b5ec1;
RsqrteLUT[696] = 32'h3f9b422b;
RsqrteLUT[697] = 32'h3f9b25a5;
RsqrteLUT[698] = 32'h3f9b092f;
RsqrteLUT[699] = 32'h3f9aecc9;
RsqrteLUT[700] = 32'h3f9ad072;
RsqrteLUT[701] = 32'h3f9ab42b;
RsqrteLUT[702] = 32'h3f9a97f3;
RsqrteLUT[703] = 32'h3f9a7bca;
RsqrteLUT[704] = 32'h3f9a5fb1;
RsqrteLUT[705] = 32'h3f9a43a8;
RsqrteLUT[706] = 32'h3f9a27ad;
RsqrteLUT[707] = 32'h3f9a0bc2;
RsqrteLUT[708] = 32'h3f99efe6;
RsqrteLUT[709] = 32'h3f99d419;
RsqrteLUT[710] = 32'h3f99b85b;
RsqrteLUT[711] = 32'h3f999cac;
RsqrteLUT[712] = 32'h3f99810c;
RsqrteLUT[713] = 32'h3f99657a;
RsqrteLUT[714] = 32'h3f9949f8;
RsqrteLUT[715] = 32'h3f992e84;
RsqrteLUT[716] = 32'h3f99131f;
RsqrteLUT[717] = 32'h3f98f7c9;
RsqrteLUT[718] = 32'h3f98dc82;
RsqrteLUT[719] = 32'h3f98c149;
RsqrteLUT[720] = 32'h3f98a61e;
RsqrteLUT[721] = 32'h3f988b02;
RsqrteLUT[722] = 32'h3f986ff5;
RsqrteLUT[723] = 32'h3f9854f6;
RsqrteLUT[724] = 32'h3f983a05;
RsqrteLUT[725] = 32'h3f981f22;
RsqrteLUT[726] = 32'h3f98044e;
RsqrteLUT[727] = 32'h3f97e987;
RsqrteLUT[728] = 32'h3f97cecf;
RsqrteLUT[729] = 32'h3f97b425;
RsqrteLUT[730] = 32'h3f979989;
RsqrteLUT[731] = 32'h3f977efb;
RsqrteLUT[732] = 32'h3f97647b;
RsqrteLUT[733] = 32'h3f974a09;
RsqrteLUT[734] = 32'h3f972fa5;
RsqrteLUT[735] = 32'h3f97154e;
RsqrteLUT[736] = 32'h3f96fb06;
RsqrteLUT[737] = 32'h3f96e0cb;
RsqrteLUT[738] = 32'h3f96c69d;
RsqrteLUT[739] = 32'h3f96ac7d;
RsqrteLUT[740] = 32'h3f96926b;
RsqrteLUT[741] = 32'h3f967866;
RsqrteLUT[742] = 32'h3f965e6f;
RsqrteLUT[743] = 32'h3f964485;
RsqrteLUT[744] = 32'h3f962aa9;
RsqrteLUT[745] = 32'h3f9610da;
RsqrteLUT[746] = 32'h3f95f718;
RsqrteLUT[747] = 32'h3f95dd63;
RsqrteLUT[748] = 32'h3f95c3bc;
RsqrteLUT[749] = 32'h3f95aa22;
RsqrteLUT[750] = 32'h3f959094;
RsqrteLUT[751] = 32'h3f957714;
RsqrteLUT[752] = 32'h3f955da1;
RsqrteLUT[753] = 32'h3f95443b;
RsqrteLUT[754] = 32'h3f952ae2;
RsqrteLUT[755] = 32'h3f951196;
RsqrteLUT[756] = 32'h3f94f857;
RsqrteLUT[757] = 32'h3f94df24;
RsqrteLUT[758] = 32'h3f94c5fe;
RsqrteLUT[759] = 32'h3f94ace5;
RsqrteLUT[760] = 32'h3f9493d9;
RsqrteLUT[761] = 32'h3f947ad9;
RsqrteLUT[762] = 32'h3f9461e6;
RsqrteLUT[763] = 32'h3f9448ff;
RsqrteLUT[764] = 32'h3f943025;
RsqrteLUT[765] = 32'h3f941758;
RsqrteLUT[766] = 32'h3f93fe97;
RsqrteLUT[767] = 32'h3f93e5e2;
RsqrteLUT[768] = 32'h3f93cd3a;
RsqrteLUT[769] = 32'h3f93b49e;
RsqrteLUT[770] = 32'h3f939c0e;
RsqrteLUT[771] = 32'h3f93838a;
RsqrteLUT[772] = 32'h3f936b13;
RsqrteLUT[773] = 32'h3f9352a8;
RsqrteLUT[774] = 32'h3f933a49;
RsqrteLUT[775] = 32'h3f9321f6;
RsqrteLUT[776] = 32'h3f9309af;
RsqrteLUT[777] = 32'h3f92f174;
RsqrteLUT[778] = 32'h3f92d945;
RsqrteLUT[779] = 32'h3f92c122;
RsqrteLUT[780] = 32'h3f92a90b;
RsqrteLUT[781] = 32'h3f9290ff;
RsqrteLUT[782] = 32'h3f927900;
RsqrteLUT[783] = 32'h3f92610c;
RsqrteLUT[784] = 32'h3f924924;
RsqrteLUT[785] = 32'h3f923148;
RsqrteLUT[786] = 32'h3f921977;
RsqrteLUT[787] = 32'h3f9201b2;
RsqrteLUT[788] = 32'h3f91e9f9;
RsqrteLUT[789] = 32'h3f91d24b;
RsqrteLUT[790] = 32'h3f91baa8;
RsqrteLUT[791] = 32'h3f91a312;
RsqrteLUT[792] = 32'h3f918b86;
RsqrteLUT[793] = 32'h3f917406;
RsqrteLUT[794] = 32'h3f915c91;
RsqrteLUT[795] = 32'h3f914528;
RsqrteLUT[796] = 32'h3f912dca;
RsqrteLUT[797] = 32'h3f911677;
RsqrteLUT[798] = 32'h3f90ff30;
RsqrteLUT[799] = 32'h3f90e7f3;
RsqrteLUT[800] = 32'h3f90d0c2;
RsqrteLUT[801] = 32'h3f90b99c;
RsqrteLUT[802] = 32'h3f90a281;
RsqrteLUT[803] = 32'h3f908b71;
RsqrteLUT[804] = 32'h3f90746c;
RsqrteLUT[805] = 32'h3f905d72;
RsqrteLUT[806] = 32'h3f904683;
RsqrteLUT[807] = 32'h3f902f9f;
RsqrteLUT[808] = 32'h3f9018c6;
RsqrteLUT[809] = 32'h3f9001f8;
RsqrteLUT[810] = 32'h3f8feb34;
RsqrteLUT[811] = 32'h3f8fd47b;
RsqrteLUT[812] = 32'h3f8fbdcd;
RsqrteLUT[813] = 32'h3f8fa72a;
RsqrteLUT[814] = 32'h3f8f9091;
RsqrteLUT[815] = 32'h3f8f7a03;
RsqrteLUT[816] = 32'h3f8f6380;
RsqrteLUT[817] = 32'h3f8f4d07;
RsqrteLUT[818] = 32'h3f8f3699;
RsqrteLUT[819] = 32'h3f8f2035;
RsqrteLUT[820] = 32'h3f8f09dc;
RsqrteLUT[821] = 32'h3f8ef38e;
RsqrteLUT[822] = 32'h3f8edd49;
RsqrteLUT[823] = 32'h3f8ec70f;
RsqrteLUT[824] = 32'h3f8eb0e0;
RsqrteLUT[825] = 32'h3f8e9aba;
RsqrteLUT[826] = 32'h3f8e84a0;
RsqrteLUT[827] = 32'h3f8e6e8f;
RsqrteLUT[828] = 32'h3f8e5888;
RsqrteLUT[829] = 32'h3f8e428c;
RsqrteLUT[830] = 32'h3f8e2c9a;
RsqrteLUT[831] = 32'h3f8e16b2;
RsqrteLUT[832] = 32'h3f8e00d5;
RsqrteLUT[833] = 32'h3f8deb01;
RsqrteLUT[834] = 32'h3f8dd537;
RsqrteLUT[835] = 32'h3f8dbf78;
RsqrteLUT[836] = 32'h3f8da9c2;
RsqrteLUT[837] = 32'h3f8d9416;
RsqrteLUT[838] = 32'h3f8d7e74;
RsqrteLUT[839] = 32'h3f8d68dd;
RsqrteLUT[840] = 32'h3f8d534f;
RsqrteLUT[841] = 32'h3f8d3dcb;
RsqrteLUT[842] = 32'h3f8d2850;
RsqrteLUT[843] = 32'h3f8d12e0;
RsqrteLUT[844] = 32'h3f8cfd79;
RsqrteLUT[845] = 32'h3f8ce81c;
RsqrteLUT[846] = 32'h3f8cd2c9;
RsqrteLUT[847] = 32'h3f8cbd7f;
RsqrteLUT[848] = 32'h3f8ca83f;
RsqrteLUT[849] = 32'h3f8c9309;
RsqrteLUT[850] = 32'h3f8c7ddc;
RsqrteLUT[851] = 32'h3f8c68b8;
RsqrteLUT[852] = 32'h3f8c539f;
RsqrteLUT[853] = 32'h3f8c3e8e;
RsqrteLUT[854] = 32'h3f8c2988;
RsqrteLUT[855] = 32'h3f8c148a;
RsqrteLUT[856] = 32'h3f8bff97;
RsqrteLUT[857] = 32'h3f8beaac;
RsqrteLUT[858] = 32'h3f8bd5cb;
RsqrteLUT[859] = 32'h3f8bc0f3;
RsqrteLUT[860] = 32'h3f8bac25;
RsqrteLUT[861] = 32'h3f8b975f;
RsqrteLUT[862] = 32'h3f8b82a3;
RsqrteLUT[863] = 32'h3f8b6df1;
RsqrteLUT[864] = 32'h3f8b5947;
RsqrteLUT[865] = 32'h3f8b44a7;
RsqrteLUT[866] = 32'h3f8b3010;
RsqrteLUT[867] = 32'h3f8b1b82;
RsqrteLUT[868] = 32'h3f8b06fd;
RsqrteLUT[869] = 32'h3f8af281;
RsqrteLUT[870] = 32'h3f8ade0e;
RsqrteLUT[871] = 32'h3f8ac9a4;
RsqrteLUT[872] = 32'h3f8ab543;
RsqrteLUT[873] = 32'h3f8aa0eb;
RsqrteLUT[874] = 32'h3f8a8c9c;
RsqrteLUT[875] = 32'h3f8a7856;
RsqrteLUT[876] = 32'h3f8a6419;
RsqrteLUT[877] = 32'h3f8a4fe5;
RsqrteLUT[878] = 32'h3f8a3bb9;
RsqrteLUT[879] = 32'h3f8a2797;
RsqrteLUT[880] = 32'h3f8a137d;
RsqrteLUT[881] = 32'h3f89ff6c;
RsqrteLUT[882] = 32'h3f89eb63;
RsqrteLUT[883] = 32'h3f89d764;
RsqrteLUT[884] = 32'h3f89c36d;
RsqrteLUT[885] = 32'h3f89af7f;
RsqrteLUT[886] = 32'h3f899b99;
RsqrteLUT[887] = 32'h3f8987bc;
RsqrteLUT[888] = 32'h3f8973e8;
RsqrteLUT[889] = 32'h3f89601c;
RsqrteLUT[890] = 32'h3f894c58;
RsqrteLUT[891] = 32'h3f89389e;
RsqrteLUT[892] = 32'h3f8924eb;
RsqrteLUT[893] = 32'h3f891142;
RsqrteLUT[894] = 32'h3f88fda0;
RsqrteLUT[895] = 32'h3f88ea07;
RsqrteLUT[896] = 32'h3f88d677;
RsqrteLUT[897] = 32'h3f88c2ef;
RsqrteLUT[898] = 32'h3f88af6f;
RsqrteLUT[899] = 32'h3f889bf7;
RsqrteLUT[900] = 32'h3f888888;
RsqrteLUT[901] = 32'h3f887521;
RsqrteLUT[902] = 32'h3f8861c3;
RsqrteLUT[903] = 32'h3f884e6c;
RsqrteLUT[904] = 32'h3f883b1e;
RsqrteLUT[905] = 32'h3f8827d8;
RsqrteLUT[906] = 32'h3f88149a;
RsqrteLUT[907] = 32'h3f880165;
RsqrteLUT[908] = 32'h3f87ee37;
RsqrteLUT[909] = 32'h3f87db12;
RsqrteLUT[910] = 32'h3f87c7f4;
RsqrteLUT[911] = 32'h3f87b4df;
RsqrteLUT[912] = 32'h3f87a1d2;
RsqrteLUT[913] = 32'h3f878ecc;
RsqrteLUT[914] = 32'h3f877bcf;
RsqrteLUT[915] = 32'h3f8768da;
RsqrteLUT[916] = 32'h3f8755ed;
RsqrteLUT[917] = 32'h3f874307;
RsqrteLUT[918] = 32'h3f87302a;
RsqrteLUT[919] = 32'h3f871d54;
RsqrteLUT[920] = 32'h3f870a86;
RsqrteLUT[921] = 32'h3f86f7c1;
RsqrteLUT[922] = 32'h3f86e502;
RsqrteLUT[923] = 32'h3f86d24c;
RsqrteLUT[924] = 32'h3f86bf9e;
RsqrteLUT[925] = 32'h3f86acf7;
RsqrteLUT[926] = 32'h3f869a58;
RsqrteLUT[927] = 32'h3f8687c1;
RsqrteLUT[928] = 32'h3f867531;
RsqrteLUT[929] = 32'h3f8662a9;
RsqrteLUT[930] = 32'h3f865029;
RsqrteLUT[931] = 32'h3f863db0;
RsqrteLUT[932] = 32'h3f862b3f;
RsqrteLUT[933] = 32'h3f8618d6;
RsqrteLUT[934] = 32'h3f860674;
RsqrteLUT[935] = 32'h3f85f41a;
RsqrteLUT[936] = 32'h3f85e1c7;
RsqrteLUT[937] = 32'h3f85cf7c;
RsqrteLUT[938] = 32'h3f85bd38;
RsqrteLUT[939] = 32'h3f85aafc;
RsqrteLUT[940] = 32'h3f8598c7;
RsqrteLUT[941] = 32'h3f858699;
RsqrteLUT[942] = 32'h3f857473;
RsqrteLUT[943] = 32'h3f856255;
RsqrteLUT[944] = 32'h3f85503d;
RsqrteLUT[945] = 32'h3f853e2e;
RsqrteLUT[946] = 32'h3f852c25;
RsqrteLUT[947] = 32'h3f851a24;
RsqrteLUT[948] = 32'h3f85082a;
RsqrteLUT[949] = 32'h3f84f637;
RsqrteLUT[950] = 32'h3f84e44c;
RsqrteLUT[951] = 32'h3f84d268;
RsqrteLUT[952] = 32'h3f84c08b;
RsqrteLUT[953] = 32'h3f84aeb5;
RsqrteLUT[954] = 32'h3f849ce6;
RsqrteLUT[955] = 32'h3f848b1f;
RsqrteLUT[956] = 32'h3f84795f;
RsqrteLUT[957] = 32'h3f8467a5;
RsqrteLUT[958] = 32'h3f8455f3;
RsqrteLUT[959] = 32'h3f844448;
RsqrteLUT[960] = 32'h3f8432a5;
RsqrteLUT[961] = 32'h3f842108;
RsqrteLUT[962] = 32'h3f840f72;
RsqrteLUT[963] = 32'h3f83fde3;
RsqrteLUT[964] = 32'h3f83ec5b;
RsqrteLUT[965] = 32'h3f83dadb;
RsqrteLUT[966] = 32'h3f83c961;
RsqrteLUT[967] = 32'h3f83b7ee;
RsqrteLUT[968] = 32'h3f83a682;
RsqrteLUT[969] = 32'h3f83951d;
RsqrteLUT[970] = 32'h3f8383bf;
RsqrteLUT[971] = 32'h3f837267;
RsqrteLUT[972] = 32'h3f836117;
RsqrteLUT[973] = 32'h3f834fcd;
RsqrteLUT[974] = 32'h3f833e8a;
RsqrteLUT[975] = 32'h3f832d4e;
RsqrteLUT[976] = 32'h3f831c19;
RsqrteLUT[977] = 32'h3f830aeb;
RsqrteLUT[978] = 32'h3f82f9c3;
RsqrteLUT[979] = 32'h3f82e8a2;
RsqrteLUT[980] = 32'h3f82d788;
RsqrteLUT[981] = 32'h3f82c674;
RsqrteLUT[982] = 32'h3f82b567;
RsqrteLUT[983] = 32'h3f82a461;
RsqrteLUT[984] = 32'h3f829361;
RsqrteLUT[985] = 32'h3f828268;
RsqrteLUT[986] = 32'h3f827176;
RsqrteLUT[987] = 32'h3f82608a;
RsqrteLUT[988] = 32'h3f824fa5;
RsqrteLUT[989] = 32'h3f823ec6;
RsqrteLUT[990] = 32'h3f822dee;
RsqrteLUT[991] = 32'h3f821d1d;
RsqrteLUT[992] = 32'h3f820c52;
RsqrteLUT[993] = 32'h3f81fb8d;
RsqrteLUT[994] = 32'h3f81eacf;
RsqrteLUT[995] = 32'h3f81da18;
RsqrteLUT[996] = 32'h3f81c966;
RsqrteLUT[997] = 32'h3f81b8bc;
RsqrteLUT[998] = 32'h3f81a817;
RsqrteLUT[999] = 32'h3f819779;
RsqrteLUT[1000] = 32'h3f8186e2;
RsqrteLUT[1001] = 32'h3f817651;
RsqrteLUT[1002] = 32'h3f8165c6;
RsqrteLUT[1003] = 32'h3f815542;
RsqrteLUT[1004] = 32'h3f8144c3;
RsqrteLUT[1005] = 32'h3f81344c;
RsqrteLUT[1006] = 32'h3f8123da;
RsqrteLUT[1007] = 32'h3f81136f;
RsqrteLUT[1008] = 32'h3f81030a;
RsqrteLUT[1009] = 32'h3f80f2ab;
RsqrteLUT[1010] = 32'h3f80e252;
RsqrteLUT[1011] = 32'h3f80d200;
RsqrteLUT[1012] = 32'h3f80c1b4;
RsqrteLUT[1013] = 32'h3f80b16e;
RsqrteLUT[1014] = 32'h3f80a12e;
RsqrteLUT[1015] = 32'h3f8090f4;
RsqrteLUT[1016] = 32'h3f8080c1;
RsqrteLUT[1017] = 32'h3f807093;
RsqrteLUT[1018] = 32'h3f80606c;
RsqrteLUT[1019] = 32'h3f80504b;
RsqrteLUT[1020] = 32'h3f804030;
RsqrteLUT[1021] = 32'h3f80301b;
RsqrteLUT[1022] = 32'h3f80200c;
RsqrteLUT[1023] = 32'h3f801003;
/verilog2/SigTbl.ver
0,0 → 1,1024
SigmoidLUT[0] = 32'h0015fa3d;
SigmoidLUT[1] = 32'h001652cf;
SigmoidLUT[2] = 32'h0016acc6;
SigmoidLUT[3] = 32'h00170827;
SigmoidLUT[4] = 32'h001764f9;
SigmoidLUT[5] = 32'h0017c340;
SigmoidLUT[6] = 32'h00182303;
SigmoidLUT[7] = 32'h00188448;
SigmoidLUT[8] = 32'h0018e715;
SigmoidLUT[9] = 32'h00194b6f;
SigmoidLUT[10] = 32'h0019b15e;
SigmoidLUT[11] = 32'h001a18e8;
SigmoidLUT[12] = 32'h001a8212;
SigmoidLUT[13] = 32'h001aece5;
SigmoidLUT[14] = 32'h001b5965;
SigmoidLUT[15] = 32'h001bc79b;
SigmoidLUT[16] = 32'h001c378c;
SigmoidLUT[17] = 32'h001ca940;
SigmoidLUT[18] = 32'h001d1cbf;
SigmoidLUT[19] = 32'h001d920e;
SigmoidLUT[20] = 32'h001e0936;
SigmoidLUT[21] = 32'h001e823e;
SigmoidLUT[22] = 32'h001efd2e;
SigmoidLUT[23] = 32'h001f7a0c;
SigmoidLUT[24] = 32'h001ff8e2;
SigmoidLUT[25] = 32'h002079b6;
SigmoidLUT[26] = 32'h0020fc91;
SigmoidLUT[27] = 32'h0021817b;
SigmoidLUT[28] = 32'h0022087d;
SigmoidLUT[29] = 32'h0022919e;
SigmoidLUT[30] = 32'h00231ce7;
SigmoidLUT[31] = 32'h0023aa62;
SigmoidLUT[32] = 32'h00243a16;
SigmoidLUT[33] = 32'h0024cc0c;
SigmoidLUT[34] = 32'h0025604f;
SigmoidLUT[35] = 32'h0025f6e6;
SigmoidLUT[36] = 32'h00268fdc;
SigmoidLUT[37] = 32'h00272b3a;
SigmoidLUT[38] = 32'h0027c909;
SigmoidLUT[39] = 32'h00286954;
SigmoidLUT[40] = 32'h00290c24;
SigmoidLUT[41] = 32'h0029b184;
SigmoidLUT[42] = 32'h002a597e;
SigmoidLUT[43] = 32'h002b041b;
SigmoidLUT[44] = 32'h002bb168;
SigmoidLUT[45] = 32'h002c616f;
SigmoidLUT[46] = 32'h002d143a;
SigmoidLUT[47] = 32'h002dc9d5;
SigmoidLUT[48] = 32'h002e824b;
SigmoidLUT[49] = 32'h002f3da7;
SigmoidLUT[50] = 32'h002ffbf6;
SigmoidLUT[51] = 32'h0030bd43;
SigmoidLUT[52] = 32'h0031819a;
SigmoidLUT[53] = 32'h00324907;
SigmoidLUT[54] = 32'h00331397;
SigmoidLUT[55] = 32'h0033e157;
SigmoidLUT[56] = 32'h0034b252;
SigmoidLUT[57] = 32'h00358697;
SigmoidLUT[58] = 32'h00365e32;
SigmoidLUT[59] = 32'h00373931;
SigmoidLUT[60] = 32'h003817a1;
SigmoidLUT[61] = 32'h0038f990;
SigmoidLUT[62] = 32'h0039df0d;
SigmoidLUT[63] = 32'h003ac825;
SigmoidLUT[64] = 32'h003bb4e7;
SigmoidLUT[65] = 32'h003ca561;
SigmoidLUT[66] = 32'h003d99a4;
SigmoidLUT[67] = 32'h003e91bd;
SigmoidLUT[68] = 32'h003f8dbc;
SigmoidLUT[69] = 32'h00408db2;
SigmoidLUT[70] = 32'h004191ad;
SigmoidLUT[71] = 32'h004299be;
SigmoidLUT[72] = 32'h0043a5f6;
SigmoidLUT[73] = 32'h0044b665;
SigmoidLUT[74] = 32'h0045cb1b;
SigmoidLUT[75] = 32'h0046e42b;
SigmoidLUT[76] = 32'h004801a6;
SigmoidLUT[77] = 32'h0049239c;
SigmoidLUT[78] = 32'h004a4a21;
SigmoidLUT[79] = 32'h004b7547;
SigmoidLUT[80] = 32'h004ca520;
SigmoidLUT[81] = 32'h004dd9bf;
SigmoidLUT[82] = 32'h004f1337;
SigmoidLUT[83] = 32'h0050519c;
SigmoidLUT[84] = 32'h00519501;
SigmoidLUT[85] = 32'h0052dd7a;
SigmoidLUT[86] = 32'h00542b1d;
SigmoidLUT[87] = 32'h00557dfd;
SigmoidLUT[88] = 32'h0056d62f;
SigmoidLUT[89] = 32'h005833ca;
SigmoidLUT[90] = 32'h005996e2;
SigmoidLUT[91] = 32'h005aff8e;
SigmoidLUT[92] = 32'h005c6de3;
SigmoidLUT[93] = 32'h005de1f9;
SigmoidLUT[94] = 32'h005f5be7;
SigmoidLUT[95] = 32'h0060dbc4;
SigmoidLUT[96] = 32'h006261a8;
SigmoidLUT[97] = 32'h0063edab;
SigmoidLUT[98] = 32'h00657fe6;
SigmoidLUT[99] = 32'h00671871;
SigmoidLUT[100] = 32'h0068b766;
SigmoidLUT[101] = 32'h006a5cde;
SigmoidLUT[102] = 32'h006c08f4;
SigmoidLUT[103] = 32'h006dbbc2;
SigmoidLUT[104] = 32'h006f7563;
SigmoidLUT[105] = 32'h007135f2;
SigmoidLUT[106] = 32'h0072fd8b;
SigmoidLUT[107] = 32'h0074cc4a;
SigmoidLUT[108] = 32'h0076a24d;
SigmoidLUT[109] = 32'h00787faf;
SigmoidLUT[110] = 32'h007a648e;
SigmoidLUT[111] = 32'h007c5109;
SigmoidLUT[112] = 32'h007e453e;
SigmoidLUT[113] = 32'h0080414b;
SigmoidLUT[114] = 32'h00824551;
SigmoidLUT[115] = 32'h0084516e;
SigmoidLUT[116] = 32'h008665c4;
SigmoidLUT[117] = 32'h00888273;
SigmoidLUT[118] = 32'h008aa79c;
SigmoidLUT[119] = 32'h008cd562;
SigmoidLUT[120] = 32'h008f0be7;
SigmoidLUT[121] = 32'h00914b4e;
SigmoidLUT[122] = 32'h009393ba;
SigmoidLUT[123] = 32'h0095e54f;
SigmoidLUT[124] = 32'h00984033;
SigmoidLUT[125] = 32'h009aa489;
SigmoidLUT[126] = 32'h009d1278;
SigmoidLUT[127] = 32'h009f8a27;
SigmoidLUT[128] = 32'h00a20bbb;
SigmoidLUT[129] = 32'h00a4975d;
SigmoidLUT[130] = 32'h00a72d35;
SigmoidLUT[131] = 32'h00a9cd6b;
SigmoidLUT[132] = 32'h00ac7829;
SigmoidLUT[133] = 32'h00af2d99;
SigmoidLUT[134] = 32'h00b1ede5;
SigmoidLUT[135] = 32'h00b4b939;
SigmoidLUT[136] = 32'h00b78fc1;
SigmoidLUT[137] = 32'h00ba71a9;
SigmoidLUT[138] = 32'h00bd5f1f;
SigmoidLUT[139] = 32'h00c05851;
SigmoidLUT[140] = 32'h00c35d6e;
SigmoidLUT[141] = 32'h00c66ea4;
SigmoidLUT[142] = 32'h00c98c24;
SigmoidLUT[143] = 32'h00ccb620;
SigmoidLUT[144] = 32'h00cfecc9;
SigmoidLUT[145] = 32'h00d33050;
SigmoidLUT[146] = 32'h00d680eb;
SigmoidLUT[147] = 32'h00d9decb;
SigmoidLUT[148] = 32'h00dd4a27;
SigmoidLUT[149] = 32'h00e0c334;
SigmoidLUT[150] = 32'h00e44a28;
SigmoidLUT[151] = 32'h00e7df3b;
SigmoidLUT[152] = 32'h00eb82a5;
SigmoidLUT[153] = 32'h00ef349e;
SigmoidLUT[154] = 32'h00f2f561;
SigmoidLUT[155] = 32'h00f6c529;
SigmoidLUT[156] = 32'h00faa430;
SigmoidLUT[157] = 32'h00fe92b3;
SigmoidLUT[158] = 32'h010290f1;
SigmoidLUT[159] = 32'h01069f26;
SigmoidLUT[160] = 32'h010abd94;
SigmoidLUT[161] = 32'h010eec79;
SigmoidLUT[162] = 32'h01132c18;
SigmoidLUT[163] = 32'h01177cb2;
SigmoidLUT[164] = 32'h011bde8b;
SigmoidLUT[165] = 32'h012051e7;
SigmoidLUT[166] = 32'h0124d70c;
SigmoidLUT[167] = 32'h01296e3f;
SigmoidLUT[168] = 32'h012e17c9;
SigmoidLUT[169] = 32'h0132d3f2;
SigmoidLUT[170] = 32'h0137a304;
SigmoidLUT[171] = 32'h013c8548;
SigmoidLUT[172] = 32'h01417b0d;
SigmoidLUT[173] = 32'h0146849d;
SigmoidLUT[174] = 32'h014ba248;
SigmoidLUT[175] = 32'h0150d45d;
SigmoidLUT[176] = 32'h01561b2d;
SigmoidLUT[177] = 32'h015b7709;
SigmoidLUT[178] = 32'h0160e844;
SigmoidLUT[179] = 32'h01666f33;
SigmoidLUT[180] = 32'h016c0c2b;
SigmoidLUT[181] = 32'h0171bf84;
SigmoidLUT[182] = 32'h01778995;
SigmoidLUT[183] = 32'h017d6ab8;
SigmoidLUT[184] = 32'h01836347;
SigmoidLUT[185] = 32'h0189739f;
SigmoidLUT[186] = 32'h018f9c1e;
SigmoidLUT[187] = 32'h0195dd22;
SigmoidLUT[188] = 32'h019c370b;
SigmoidLUT[189] = 32'h01a2aa3d;
SigmoidLUT[190] = 32'h01a93719;
SigmoidLUT[191] = 32'h01afde05;
SigmoidLUT[192] = 32'h01b69f67;
SigmoidLUT[193] = 32'h01bd7ba7;
SigmoidLUT[194] = 32'h01c4732e;
SigmoidLUT[195] = 32'h01cb8667;
SigmoidLUT[196] = 32'h01d2b5bf;
SigmoidLUT[197] = 32'h01da01a3;
SigmoidLUT[198] = 32'h01e16a84;
SigmoidLUT[199] = 32'h01e8f0d3;
SigmoidLUT[200] = 32'h01f09503;
SigmoidLUT[201] = 32'h01f85788;
SigmoidLUT[202] = 32'h020038da;
SigmoidLUT[203] = 32'h02083971;
SigmoidLUT[204] = 32'h021059c5;
SigmoidLUT[205] = 32'h02189a55;
SigmoidLUT[206] = 32'h0220fb9c;
SigmoidLUT[207] = 32'h02297e1b;
SigmoidLUT[208] = 32'h02322253;
SigmoidLUT[209] = 32'h023ae8c7;
SigmoidLUT[210] = 32'h0243d1fc;
SigmoidLUT[211] = 32'h024cde7a;
SigmoidLUT[212] = 32'h02560eca;
SigmoidLUT[213] = 32'h025f6376;
SigmoidLUT[214] = 32'h0268dd0c;
SigmoidLUT[215] = 32'h02727c1b;
SigmoidLUT[216] = 32'h027c4134;
SigmoidLUT[217] = 32'h02862cec;
SigmoidLUT[218] = 32'h02903fd6;
SigmoidLUT[219] = 32'h029a7a8b;
SigmoidLUT[220] = 32'h02a4dda5;
SigmoidLUT[221] = 32'h02af69bf;
SigmoidLUT[222] = 32'h02ba1f79;
SigmoidLUT[223] = 32'h02c4ff73;
SigmoidLUT[224] = 32'h02d00a4f;
SigmoidLUT[225] = 32'h02db40b3;
SigmoidLUT[226] = 32'h02e6a346;
SigmoidLUT[227] = 32'h02f232b3;
SigmoidLUT[228] = 32'h02fdefa6;
SigmoidLUT[229] = 32'h0309dace;
SigmoidLUT[230] = 32'h0315f4dc;
SigmoidLUT[231] = 32'h03223e85;
SigmoidLUT[232] = 32'h032eb87d;
SigmoidLUT[233] = 32'h033b6380;
SigmoidLUT[234] = 32'h03484047;
SigmoidLUT[235] = 32'h03554f93;
SigmoidLUT[236] = 32'h03629222;
SigmoidLUT[237] = 32'h037008ba;
SigmoidLUT[238] = 32'h037db421;
SigmoidLUT[239] = 32'h038b951f;
SigmoidLUT[240] = 32'h0399ac82;
SigmoidLUT[241] = 32'h03a7fb17;
SigmoidLUT[242] = 32'h03b681b0;
SigmoidLUT[243] = 32'h03c54122;
SigmoidLUT[244] = 32'h03d43a45;
SigmoidLUT[245] = 32'h03e36df3;
SigmoidLUT[246] = 32'h03f2dd0a;
SigmoidLUT[247] = 32'h0402886a;
SigmoidLUT[248] = 32'h041270f8;
SigmoidLUT[249] = 32'h04229799;
SigmoidLUT[250] = 32'h0432fd38;
SigmoidLUT[251] = 32'h0443a2c2;
SigmoidLUT[252] = 32'h04548927;
SigmoidLUT[253] = 32'h0465b15b;
SigmoidLUT[254] = 32'h04771c55;
SigmoidLUT[255] = 32'h0488cb0f;
SigmoidLUT[256] = 32'h049abe87;
SigmoidLUT[257] = 32'h04acf7be;
SigmoidLUT[258] = 32'h04bf77b8;
SigmoidLUT[259] = 32'h04d23f7c;
SigmoidLUT[260] = 32'h04e55018;
SigmoidLUT[261] = 32'h04f8aa99;
SigmoidLUT[262] = 32'h050c5012;
SigmoidLUT[263] = 32'h05204199;
SigmoidLUT[264] = 32'h05348048;
SigmoidLUT[265] = 32'h05490d3d;
SigmoidLUT[266] = 32'h055de998;
SigmoidLUT[267] = 32'h0573167f;
SigmoidLUT[268] = 32'h0588951b;
SigmoidLUT[269] = 32'h059e6697;
SigmoidLUT[270] = 32'h05b48c26;
SigmoidLUT[271] = 32'h05cb06fa;
SigmoidLUT[272] = 32'h05e1d84c;
SigmoidLUT[273] = 32'h05f90159;
SigmoidLUT[274] = 32'h06108360;
SigmoidLUT[275] = 32'h06285fa7;
SigmoidLUT[276] = 32'h06409775;
SigmoidLUT[277] = 32'h06592c17;
SigmoidLUT[278] = 32'h06721edd;
SigmoidLUT[279] = 32'h068b711d;
SigmoidLUT[280] = 32'h06a52430;
SigmoidLUT[281] = 32'h06bf3972;
SigmoidLUT[282] = 32'h06d9b246;
SigmoidLUT[283] = 32'h06f49010;
SigmoidLUT[284] = 32'h070fd43d;
SigmoidLUT[285] = 32'h072b8039;
SigmoidLUT[286] = 32'h07479577;
SigmoidLUT[287] = 32'h07641571;
SigmoidLUT[288] = 32'h078101a0;
SigmoidLUT[289] = 32'h079e5b86;
SigmoidLUT[290] = 32'h07bc24a7;
SigmoidLUT[291] = 32'h07da5e8d;
SigmoidLUT[292] = 32'h07f90ac5;
SigmoidLUT[293] = 32'h08182ae3;
SigmoidLUT[294] = 32'h0837c07d;
SigmoidLUT[295] = 32'h0857cd2f;
SigmoidLUT[296] = 32'h0878529b;
SigmoidLUT[297] = 32'h08995264;
SigmoidLUT[298] = 32'h08bace35;
SigmoidLUT[299] = 32'h08dcc7bc;
SigmoidLUT[300] = 32'h08ff40ad;
SigmoidLUT[301] = 32'h09223ac1;
SigmoidLUT[302] = 32'h0945b7b3;
SigmoidLUT[303] = 32'h0969b946;
SigmoidLUT[304] = 32'h098e4140;
SigmoidLUT[305] = 32'h09b3516d;
SigmoidLUT[306] = 32'h09d8eb9c;
SigmoidLUT[307] = 32'h09ff11a4;
SigmoidLUT[308] = 32'h0a25c55d;
SigmoidLUT[309] = 32'h0a4d08a7;
SigmoidLUT[310] = 32'h0a74dd66;
SigmoidLUT[311] = 32'h0a9d4581;
SigmoidLUT[312] = 32'h0ac642e6;
SigmoidLUT[313] = 32'h0aefd789;
SigmoidLUT[314] = 32'h0b1a055f;
SigmoidLUT[315] = 32'h0b44ce65;
SigmoidLUT[316] = 32'h0b70349c;
SigmoidLUT[317] = 32'h0b9c3a0a;
SigmoidLUT[318] = 32'h0bc8e0b9;
SigmoidLUT[319] = 32'h0bf62ab9;
SigmoidLUT[320] = 32'h0c241a1e;
SigmoidLUT[321] = 32'h0c52b101;
SigmoidLUT[322] = 32'h0c81f181;
SigmoidLUT[323] = 32'h0cb1ddbf;
SigmoidLUT[324] = 32'h0ce277e4;
SigmoidLUT[325] = 32'h0d13c21c;
SigmoidLUT[326] = 32'h0d45be97;
SigmoidLUT[327] = 32'h0d786f8b;
SigmoidLUT[328] = 32'h0dabd732;
SigmoidLUT[329] = 32'h0ddff7cc;
SigmoidLUT[330] = 32'h0e14d39a;
SigmoidLUT[331] = 32'h0e4a6ce5;
SigmoidLUT[332] = 32'h0e80c5f9;
SigmoidLUT[333] = 32'h0eb7e128;
SigmoidLUT[334] = 32'h0eefc0c5;
SigmoidLUT[335] = 32'h0f28672a;
SigmoidLUT[336] = 32'h0f61d6b5;
SigmoidLUT[337] = 32'h0f9c11c7;
SigmoidLUT[338] = 32'h0fd71ac7;
SigmoidLUT[339] = 32'h1012f41d;
SigmoidLUT[340] = 32'h104fa038;
SigmoidLUT[341] = 32'h108d218a;
SigmoidLUT[342] = 32'h10cb7a87;
SigmoidLUT[343] = 32'h110aada9;
SigmoidLUT[344] = 32'h114abd6d;
SigmoidLUT[345] = 32'h118bac53;
SigmoidLUT[346] = 32'h11cd7cde;
SigmoidLUT[347] = 32'h12103196;
SigmoidLUT[348] = 32'h1253cd04;
SigmoidLUT[349] = 32'h129851b6;
SigmoidLUT[350] = 32'h12ddc23c;
SigmoidLUT[351] = 32'h13242129;
SigmoidLUT[352] = 32'h136b7112;
SigmoidLUT[353] = 32'h13b3b490;
SigmoidLUT[354] = 32'h13fcee3d;
SigmoidLUT[355] = 32'h144720b7;
SigmoidLUT[356] = 32'h14924e9c;
SigmoidLUT[357] = 32'h14de7a8d;
SigmoidLUT[358] = 32'h152ba72e;
SigmoidLUT[359] = 32'h1579d722;
SigmoidLUT[360] = 32'h15c90d0f;
SigmoidLUT[361] = 32'h16194b9c;
SigmoidLUT[362] = 32'h166a9573;
SigmoidLUT[363] = 32'h16bced3b;
SigmoidLUT[364] = 32'h1710559e;
SigmoidLUT[365] = 32'h1764d148;
SigmoidLUT[366] = 32'h17ba62e1;
SigmoidLUT[367] = 32'h18110d16;
SigmoidLUT[368] = 32'h1868d291;
SigmoidLUT[369] = 32'h18c1b5fb;
SigmoidLUT[370] = 32'h191bb9fe;
SigmoidLUT[371] = 32'h1976e143;
SigmoidLUT[372] = 32'h19d32e71;
SigmoidLUT[373] = 32'h1a30a42e;
SigmoidLUT[374] = 32'h1a8f451f;
SigmoidLUT[375] = 32'h1aef13e6;
SigmoidLUT[376] = 32'h1b501323;
SigmoidLUT[377] = 32'h1bb24575;
SigmoidLUT[378] = 32'h1c15ad76;
SigmoidLUT[379] = 32'h1c7a4dbf;
SigmoidLUT[380] = 32'h1ce028e5;
SigmoidLUT[381] = 32'h1d474177;
SigmoidLUT[382] = 32'h1daf9a04;
SigmoidLUT[383] = 32'h1e193514;
SigmoidLUT[384] = 32'h1e84152b;
SigmoidLUT[385] = 32'h1ef03cc9;
SigmoidLUT[386] = 32'h1f5dae66;
SigmoidLUT[387] = 32'h1fcc6c78;
SigmoidLUT[388] = 32'h203c796c;
SigmoidLUT[389] = 32'h20add7ab;
SigmoidLUT[390] = 32'h21208994;
SigmoidLUT[391] = 32'h21949182;
SigmoidLUT[392] = 32'h2209f1c7;
SigmoidLUT[393] = 32'h2280acad;
SigmoidLUT[394] = 32'h22f8c477;
SigmoidLUT[395] = 32'h23723b5e;
SigmoidLUT[396] = 32'h23ed1392;
SigmoidLUT[397] = 32'h24694f39;
SigmoidLUT[398] = 32'h24e6f071;
SigmoidLUT[399] = 32'h2565f94c;
SigmoidLUT[400] = 32'h25e66bd1;
SigmoidLUT[401] = 32'h266849fe;
SigmoidLUT[402] = 32'h26eb95c1;
SigmoidLUT[403] = 32'h27705101;
SigmoidLUT[404] = 32'h27f67d95;
SigmoidLUT[405] = 32'h287e1d48;
SigmoidLUT[406] = 32'h290731d7;
SigmoidLUT[407] = 32'h2991bcf3;
SigmoidLUT[408] = 32'h2a1dc03b;
SigmoidLUT[409] = 32'h2aab3d44;
SigmoidLUT[410] = 32'h2b3a358f;
SigmoidLUT[411] = 32'h2bcaaa8f;
SigmoidLUT[412] = 32'h2c5c9da9;
SigmoidLUT[413] = 32'h2cf0102d;
SigmoidLUT[414] = 32'h2d85035d;
SigmoidLUT[415] = 32'h2e1b7868;
SigmoidLUT[416] = 32'h2eb3706a;
SigmoidLUT[417] = 32'h2f4cec6f;
SigmoidLUT[418] = 32'h2fe7ed6d;
SigmoidLUT[419] = 32'h30847449;
SigmoidLUT[420] = 32'h312281d0;
SigmoidLUT[421] = 32'h31c216bf;
SigmoidLUT[422] = 32'h326333bb;
SigmoidLUT[423] = 32'h3305d954;
SigmoidLUT[424] = 32'h33aa0805;
SigmoidLUT[425] = 32'h344fc031;
SigmoidLUT[426] = 32'h34f70225;
SigmoidLUT[427] = 32'h359fce16;
SigmoidLUT[428] = 32'h364a2423;
SigmoidLUT[429] = 32'h36f6044f;
SigmoidLUT[430] = 32'h37a36e89;
SigmoidLUT[431] = 32'h385262a2;
SigmoidLUT[432] = 32'h3902e055;
SigmoidLUT[433] = 32'h39b4e740;
SigmoidLUT[434] = 32'h3a6876eb;
SigmoidLUT[435] = 32'h3b1d8ebd;
SigmoidLUT[436] = 32'h3bd42e07;
SigmoidLUT[437] = 32'h3c8c53fc;
SigmoidLUT[438] = 32'h3d45ffb3;
SigmoidLUT[439] = 32'h3e013026;
SigmoidLUT[440] = 32'h3ebde434;
SigmoidLUT[441] = 32'h3f7c1a9d;
SigmoidLUT[442] = 32'h403bd205;
SigmoidLUT[443] = 32'h40fd08f2;
SigmoidLUT[444] = 32'h41bfbdcb;
SigmoidLUT[445] = 32'h4283eed9;
SigmoidLUT[446] = 32'h43499a47;
SigmoidLUT[447] = 32'h4410be20;
SigmoidLUT[448] = 32'h44d95851;
SigmoidLUT[449] = 32'h45a366a6;
SigmoidLUT[450] = 32'h466ee6cd;
SigmoidLUT[451] = 32'h473bd654;
SigmoidLUT[452] = 32'h480a32a8;
SigmoidLUT[453] = 32'h48d9f917;
SigmoidLUT[454] = 32'h49ab26cd;
SigmoidLUT[455] = 32'h4a7db8d8;
SigmoidLUT[456] = 32'h4b51ac23;
SigmoidLUT[457] = 32'h4c26fd7b;
SigmoidLUT[458] = 32'h4cfda989;
SigmoidLUT[459] = 32'h4dd5acda;
SigmoidLUT[460] = 32'h4eaf03d6;
SigmoidLUT[461] = 32'h4f89aac6;
SigmoidLUT[462] = 32'h50659dd4;
SigmoidLUT[463] = 32'h5142d905;
SigmoidLUT[464] = 32'h52215842;
SigmoidLUT[465] = 32'h53011752;
SigmoidLUT[466] = 32'h53e211db;
SigmoidLUT[467] = 32'h54c44364;
SigmoidLUT[468] = 32'h55a7a753;
SigmoidLUT[469] = 32'h568c38ef;
SigmoidLUT[470] = 32'h5771f35f;
SigmoidLUT[471] = 32'h5858d1ac;
SigmoidLUT[472] = 32'h5940cebe;
SigmoidLUT[473] = 32'h5a29e55f;
SigmoidLUT[474] = 32'h5b14103c;
SigmoidLUT[475] = 32'h5bff49e2;
SigmoidLUT[476] = 32'h5ceb8cc3;
SigmoidLUT[477] = 32'h5dd8d330;
SigmoidLUT[478] = 32'h5ec71761;
SigmoidLUT[479] = 32'h5fb6536f;
SigmoidLUT[480] = 32'h60a68159;
SigmoidLUT[481] = 32'h61979b01;
SigmoidLUT[482] = 32'h62899a30;
SigmoidLUT[483] = 32'h637c7893;
SigmoidLUT[484] = 32'h64702fbe;
SigmoidLUT[485] = 32'h6564b92d;
SigmoidLUT[486] = 32'h665a0e41;
SigmoidLUT[487] = 32'h67502846;
SigmoidLUT[488] = 32'h6847006f;
SigmoidLUT[489] = 32'h693e8fda;
SigmoidLUT[490] = 32'h6a36cf8d;
SigmoidLUT[491] = 32'h6b2fb87c;
SigmoidLUT[492] = 32'h6c294384;
SigmoidLUT[493] = 32'h6d236971;
SigmoidLUT[494] = 32'h6e1e22fa;
SigmoidLUT[495] = 32'h6f1968c6;
SigmoidLUT[496] = 32'h7015336a;
SigmoidLUT[497] = 32'h71117b6a;
SigmoidLUT[498] = 32'h720e393e;
SigmoidLUT[499] = 32'h730b654c;
SigmoidLUT[500] = 32'h7408f7ed;
SigmoidLUT[501] = 32'h7506e970;
SigmoidLUT[502] = 32'h76053216;
SigmoidLUT[503] = 32'h7703ca14;
SigmoidLUT[504] = 32'h7802a99a;
SigmoidLUT[505] = 32'h7901c8c9;
SigmoidLUT[506] = 32'h7a011fbf;
SigmoidLUT[507] = 32'h7b00a690;
SigmoidLUT[508] = 32'h7c00554c;
SigmoidLUT[509] = 32'h7d0023fd;
SigmoidLUT[510] = 32'h7e000aaa;
SigmoidLUT[511] = 32'h7f000155;
SigmoidLUT[512] = 32'h80000000;
SigmoidLUT[513] = 32'h80fffeaa;
SigmoidLUT[514] = 32'h81fff555;
SigmoidLUT[515] = 32'h82ffdc02;
SigmoidLUT[516] = 32'h83ffaab3;
SigmoidLUT[517] = 32'h84ff596f;
SigmoidLUT[518] = 32'h85fee040;
SigmoidLUT[519] = 32'h86fe3736;
SigmoidLUT[520] = 32'h87fd5665;
SigmoidLUT[521] = 32'h88fc35eb;
SigmoidLUT[522] = 32'h89facde9;
SigmoidLUT[523] = 32'h8af9168f;
SigmoidLUT[524] = 32'h8bf70812;
SigmoidLUT[525] = 32'h8cf49ab3;
SigmoidLUT[526] = 32'h8df1c6c1;
SigmoidLUT[527] = 32'h8eee8495;
SigmoidLUT[528] = 32'h8feacc95;
SigmoidLUT[529] = 32'h90e69739;
SigmoidLUT[530] = 32'h91e1dd05;
SigmoidLUT[531] = 32'h92dc968e;
SigmoidLUT[532] = 32'h93d6bc7b;
SigmoidLUT[533] = 32'h94d04783;
SigmoidLUT[534] = 32'h95c93072;
SigmoidLUT[535] = 32'h96c17025;
SigmoidLUT[536] = 32'h97b8ff90;
SigmoidLUT[537] = 32'h98afd7b9;
SigmoidLUT[538] = 32'h99a5f1be;
SigmoidLUT[539] = 32'h9a9b46d2;
SigmoidLUT[540] = 32'h9b8fd041;
SigmoidLUT[541] = 32'h9c83876c;
SigmoidLUT[542] = 32'h9d7665cf;
SigmoidLUT[543] = 32'h9e6864fe;
SigmoidLUT[544] = 32'h9f597ea6;
SigmoidLUT[545] = 32'ha049ac90;
SigmoidLUT[546] = 32'ha138e89e;
SigmoidLUT[547] = 32'ha2272ccf;
SigmoidLUT[548] = 32'ha314733c;
SigmoidLUT[549] = 32'ha400b61d;
SigmoidLUT[550] = 32'ha4ebefc3;
SigmoidLUT[551] = 32'ha5d61aa0;
SigmoidLUT[552] = 32'ha6bf3141;
SigmoidLUT[553] = 32'ha7a72e53;
SigmoidLUT[554] = 32'ha88e0ca0;
SigmoidLUT[555] = 32'ha973c710;
SigmoidLUT[556] = 32'haa5858ac;
SigmoidLUT[557] = 32'hab3bbc9b;
SigmoidLUT[558] = 32'hac1dee24;
SigmoidLUT[559] = 32'hacfee8ad;
SigmoidLUT[560] = 32'haddea7bd;
SigmoidLUT[561] = 32'haebd26fa;
SigmoidLUT[562] = 32'haf9a622b;
SigmoidLUT[563] = 32'hb0765539;
SigmoidLUT[564] = 32'hb150fc29;
SigmoidLUT[565] = 32'hb22a5325;
SigmoidLUT[566] = 32'hb3025676;
SigmoidLUT[567] = 32'hb3d90284;
SigmoidLUT[568] = 32'hb4ae53dc;
SigmoidLUT[569] = 32'hb5824727;
SigmoidLUT[570] = 32'hb654d932;
SigmoidLUT[571] = 32'hb72606e8;
SigmoidLUT[572] = 32'hb7f5cd57;
SigmoidLUT[573] = 32'hb8c429ab;
SigmoidLUT[574] = 32'hb9911932;
SigmoidLUT[575] = 32'hba5c9959;
SigmoidLUT[576] = 32'hbb26a7ae;
SigmoidLUT[577] = 32'hbbef41df;
SigmoidLUT[578] = 32'hbcb665b8;
SigmoidLUT[579] = 32'hbd7c1126;
SigmoidLUT[580] = 32'hbe404234;
SigmoidLUT[581] = 32'hbf02f70d;
SigmoidLUT[582] = 32'hbfc42dfa;
SigmoidLUT[583] = 32'hc083e562;
SigmoidLUT[584] = 32'hc1421bcb;
SigmoidLUT[585] = 32'hc1fecfd9;
SigmoidLUT[586] = 32'hc2ba004c;
SigmoidLUT[587] = 32'hc373ac03;
SigmoidLUT[588] = 32'hc42bd1f8;
SigmoidLUT[589] = 32'hc4e27142;
SigmoidLUT[590] = 32'hc5978914;
SigmoidLUT[591] = 32'hc64b18bf;
SigmoidLUT[592] = 32'hc6fd1faa;
SigmoidLUT[593] = 32'hc7ad9d5d;
SigmoidLUT[594] = 32'hc85c9176;
SigmoidLUT[595] = 32'hc909fbb0;
SigmoidLUT[596] = 32'hc9b5dbdc;
SigmoidLUT[597] = 32'hca6031e9;
SigmoidLUT[598] = 32'hcb08fdda;
SigmoidLUT[599] = 32'hcbb03fce;
SigmoidLUT[600] = 32'hcc55f7fa;
SigmoidLUT[601] = 32'hccfa26ab;
SigmoidLUT[602] = 32'hcd9ccc44;
SigmoidLUT[603] = 32'hce3de940;
SigmoidLUT[604] = 32'hcedd7e2f;
SigmoidLUT[605] = 32'hcf7b8bb6;
SigmoidLUT[606] = 32'hd0181292;
SigmoidLUT[607] = 32'hd0b31390;
SigmoidLUT[608] = 32'hd14c8f95;
SigmoidLUT[609] = 32'hd1e48797;
SigmoidLUT[610] = 32'hd27afca2;
SigmoidLUT[611] = 32'hd30fefd2;
SigmoidLUT[612] = 32'hd3a36256;
SigmoidLUT[613] = 32'hd4355570;
SigmoidLUT[614] = 32'hd4c5ca70;
SigmoidLUT[615] = 32'hd554c2bb;
SigmoidLUT[616] = 32'hd5e23fc4;
SigmoidLUT[617] = 32'hd66e430c;
SigmoidLUT[618] = 32'hd6f8ce28;
SigmoidLUT[619] = 32'hd781e2b7;
SigmoidLUT[620] = 32'hd809826a;
SigmoidLUT[621] = 32'hd88faefe;
SigmoidLUT[622] = 32'hd9146a3e;
SigmoidLUT[623] = 32'hd997b601;
SigmoidLUT[624] = 32'hda19942e;
SigmoidLUT[625] = 32'hda9a06b3;
SigmoidLUT[626] = 32'hdb190f8e;
SigmoidLUT[627] = 32'hdb96b0c6;
SigmoidLUT[628] = 32'hdc12ec6d;
SigmoidLUT[629] = 32'hdc8dc4a1;
SigmoidLUT[630] = 32'hdd073b88;
SigmoidLUT[631] = 32'hdd7f5352;
SigmoidLUT[632] = 32'hddf60e38;
SigmoidLUT[633] = 32'hde6b6e7d;
SigmoidLUT[634] = 32'hdedf766b;
SigmoidLUT[635] = 32'hdf522854;
SigmoidLUT[636] = 32'hdfc38693;
SigmoidLUT[637] = 32'he0339387;
SigmoidLUT[638] = 32'he0a25199;
SigmoidLUT[639] = 32'he10fc336;
SigmoidLUT[640] = 32'he17bead4;
SigmoidLUT[641] = 32'he1e6caeb;
SigmoidLUT[642] = 32'he25065fb;
SigmoidLUT[643] = 32'he2b8be88;
SigmoidLUT[644] = 32'he31fd71a;
SigmoidLUT[645] = 32'he385b240;
SigmoidLUT[646] = 32'he3ea5289;
SigmoidLUT[647] = 32'he44dba8a;
SigmoidLUT[648] = 32'he4afecdc;
SigmoidLUT[649] = 32'he510ec19;
SigmoidLUT[650] = 32'he570bae0;
SigmoidLUT[651] = 32'he5cf5bd1;
SigmoidLUT[652] = 32'he62cd18e;
SigmoidLUT[653] = 32'he6891ebc;
SigmoidLUT[654] = 32'he6e44601;
SigmoidLUT[655] = 32'he73e4a04;
SigmoidLUT[656] = 32'he7972d6e;
SigmoidLUT[657] = 32'he7eef2e9;
SigmoidLUT[658] = 32'he8459d1e;
SigmoidLUT[659] = 32'he89b2eb7;
SigmoidLUT[660] = 32'he8efaa61;
SigmoidLUT[661] = 32'he94312c4;
SigmoidLUT[662] = 32'he9956a8c;
SigmoidLUT[663] = 32'he9e6b463;
SigmoidLUT[664] = 32'hea36f2f0;
SigmoidLUT[665] = 32'hea8628dd;
SigmoidLUT[666] = 32'head458d1;
SigmoidLUT[667] = 32'heb218572;
SigmoidLUT[668] = 32'heb6db163;
SigmoidLUT[669] = 32'hebb8df48;
SigmoidLUT[670] = 32'hec0311c2;
SigmoidLUT[671] = 32'hec4c4b6f;
SigmoidLUT[672] = 32'hec948eed;
SigmoidLUT[673] = 32'hecdbded6;
SigmoidLUT[674] = 32'hed223dc3;
SigmoidLUT[675] = 32'hed67ae49;
SigmoidLUT[676] = 32'hedac32fb;
SigmoidLUT[677] = 32'hedefce69;
SigmoidLUT[678] = 32'hee328321;
SigmoidLUT[679] = 32'hee7453ac;
SigmoidLUT[680] = 32'heeb54292;
SigmoidLUT[681] = 32'heef55256;
SigmoidLUT[682] = 32'hef348578;
SigmoidLUT[683] = 32'hef72de75;
SigmoidLUT[684] = 32'hefb05fc7;
SigmoidLUT[685] = 32'hefed0be2;
SigmoidLUT[686] = 32'hf028e538;
SigmoidLUT[687] = 32'hf063ee38;
SigmoidLUT[688] = 32'hf09e294a;
SigmoidLUT[689] = 32'hf0d798d5;
SigmoidLUT[690] = 32'hf1103f3a;
SigmoidLUT[691] = 32'hf1481ed7;
SigmoidLUT[692] = 32'hf17f3a06;
SigmoidLUT[693] = 32'hf1b5931a;
SigmoidLUT[694] = 32'hf1eb2c65;
SigmoidLUT[695] = 32'hf2200833;
SigmoidLUT[696] = 32'hf25428cd;
SigmoidLUT[697] = 32'hf2879074;
SigmoidLUT[698] = 32'hf2ba4168;
SigmoidLUT[699] = 32'hf2ec3de3;
SigmoidLUT[700] = 32'hf31d881b;
SigmoidLUT[701] = 32'hf34e2240;
SigmoidLUT[702] = 32'hf37e0e7e;
SigmoidLUT[703] = 32'hf3ad4efe;
SigmoidLUT[704] = 32'hf3dbe5e1;
SigmoidLUT[705] = 32'hf409d546;
SigmoidLUT[706] = 32'hf4371f46;
SigmoidLUT[707] = 32'hf463c5f5;
SigmoidLUT[708] = 32'hf48fcb63;
SigmoidLUT[709] = 32'hf4bb319a;
SigmoidLUT[710] = 32'hf4e5faa0;
SigmoidLUT[711] = 32'hf5102876;
SigmoidLUT[712] = 32'hf539bd19;
SigmoidLUT[713] = 32'hf562ba7e;
SigmoidLUT[714] = 32'hf58b2299;
SigmoidLUT[715] = 32'hf5b2f758;
SigmoidLUT[716] = 32'hf5da3aa2;
SigmoidLUT[717] = 32'hf600ee5b;
SigmoidLUT[718] = 32'hf6271463;
SigmoidLUT[719] = 32'hf64cae92;
SigmoidLUT[720] = 32'hf671bebf;
SigmoidLUT[721] = 32'hf69646b9;
SigmoidLUT[722] = 32'hf6ba484c;
SigmoidLUT[723] = 32'hf6ddc53e;
SigmoidLUT[724] = 32'hf700bf52;
SigmoidLUT[725] = 32'hf7233843;
SigmoidLUT[726] = 32'hf74531ca;
SigmoidLUT[727] = 32'hf766ad9b;
SigmoidLUT[728] = 32'hf787ad64;
SigmoidLUT[729] = 32'hf7a832d0;
SigmoidLUT[730] = 32'hf7c83f82;
SigmoidLUT[731] = 32'hf7e7d51c;
SigmoidLUT[732] = 32'hf806f53a;
SigmoidLUT[733] = 32'hf825a172;
SigmoidLUT[734] = 32'hf843db58;
SigmoidLUT[735] = 32'hf861a479;
SigmoidLUT[736] = 32'hf87efe5f;
SigmoidLUT[737] = 32'hf89bea8e;
SigmoidLUT[738] = 32'hf8b86a88;
SigmoidLUT[739] = 32'hf8d47fc6;
SigmoidLUT[740] = 32'hf8f02bc2;
SigmoidLUT[741] = 32'hf90b6fef;
SigmoidLUT[742] = 32'hf9264db9;
SigmoidLUT[743] = 32'hf940c68d;
SigmoidLUT[744] = 32'hf95adbcf;
SigmoidLUT[745] = 32'hf9748ee2;
SigmoidLUT[746] = 32'hf98de122;
SigmoidLUT[747] = 32'hf9a6d3e8;
SigmoidLUT[748] = 32'hf9bf688a;
SigmoidLUT[749] = 32'hf9d7a058;
SigmoidLUT[750] = 32'hf9ef7c9f;
SigmoidLUT[751] = 32'hfa06fea6;
SigmoidLUT[752] = 32'hfa1e27b3;
SigmoidLUT[753] = 32'hfa34f905;
SigmoidLUT[754] = 32'hfa4b73d9;
SigmoidLUT[755] = 32'hfa619968;
SigmoidLUT[756] = 32'hfa776ae4;
SigmoidLUT[757] = 32'hfa8ce980;
SigmoidLUT[758] = 32'hfaa21667;
SigmoidLUT[759] = 32'hfab6f2c2;
SigmoidLUT[760] = 32'hfacb7fb7;
SigmoidLUT[761] = 32'hfadfbe66;
SigmoidLUT[762] = 32'hfaf3afed;
SigmoidLUT[763] = 32'hfb075566;
SigmoidLUT[764] = 32'hfb1aafe7;
SigmoidLUT[765] = 32'hfb2dc083;
SigmoidLUT[766] = 32'hfb408847;
SigmoidLUT[767] = 32'hfb530841;
SigmoidLUT[768] = 32'hfb654178;
SigmoidLUT[769] = 32'hfb7734f0;
SigmoidLUT[770] = 32'hfb88e3aa;
SigmoidLUT[771] = 32'hfb9a4ea4;
SigmoidLUT[772] = 32'hfbab76d8;
SigmoidLUT[773] = 32'hfbbc5d3d;
SigmoidLUT[774] = 32'hfbcd02c7;
SigmoidLUT[775] = 32'hfbdd6866;
SigmoidLUT[776] = 32'hfbed8f07;
SigmoidLUT[777] = 32'hfbfd7795;
SigmoidLUT[778] = 32'hfc0d22f5;
SigmoidLUT[779] = 32'hfc1c920c;
SigmoidLUT[780] = 32'hfc2bc5ba;
SigmoidLUT[781] = 32'hfc3abedd;
SigmoidLUT[782] = 32'hfc497e4f;
SigmoidLUT[783] = 32'hfc5804e8;
SigmoidLUT[784] = 32'hfc66537d;
SigmoidLUT[785] = 32'hfc746ae0;
SigmoidLUT[786] = 32'hfc824bde;
SigmoidLUT[787] = 32'hfc8ff745;
SigmoidLUT[788] = 32'hfc9d6ddd;
SigmoidLUT[789] = 32'hfcaab06c;
SigmoidLUT[790] = 32'hfcb7bfb8;
SigmoidLUT[791] = 32'hfcc49c7f;
SigmoidLUT[792] = 32'hfcd14782;
SigmoidLUT[793] = 32'hfcddc17a;
SigmoidLUT[794] = 32'hfcea0b23;
SigmoidLUT[795] = 32'hfcf62531;
SigmoidLUT[796] = 32'hfd021059;
SigmoidLUT[797] = 32'hfd0dcd4c;
SigmoidLUT[798] = 32'hfd195cb9;
SigmoidLUT[799] = 32'hfd24bf4c;
SigmoidLUT[800] = 32'hfd2ff5b0;
SigmoidLUT[801] = 32'hfd3b008c;
SigmoidLUT[802] = 32'hfd45e086;
SigmoidLUT[803] = 32'hfd509640;
SigmoidLUT[804] = 32'hfd5b225a;
SigmoidLUT[805] = 32'hfd658574;
SigmoidLUT[806] = 32'hfd6fc029;
SigmoidLUT[807] = 32'hfd79d313;
SigmoidLUT[808] = 32'hfd83becb;
SigmoidLUT[809] = 32'hfd8d83e4;
SigmoidLUT[810] = 32'hfd9722f3;
SigmoidLUT[811] = 32'hfda09c89;
SigmoidLUT[812] = 32'hfda9f135;
SigmoidLUT[813] = 32'hfdb32185;
SigmoidLUT[814] = 32'hfdbc2e03;
SigmoidLUT[815] = 32'hfdc51738;
SigmoidLUT[816] = 32'hfdcdddac;
SigmoidLUT[817] = 32'hfdd681e4;
SigmoidLUT[818] = 32'hfddf0463;
SigmoidLUT[819] = 32'hfde765aa;
SigmoidLUT[820] = 32'hfdefa63a;
SigmoidLUT[821] = 32'hfdf7c68e;
SigmoidLUT[822] = 32'hfdffc725;
SigmoidLUT[823] = 32'hfe07a877;
SigmoidLUT[824] = 32'hfe0f6afc;
SigmoidLUT[825] = 32'hfe170f2c;
SigmoidLUT[826] = 32'hfe1e957b;
SigmoidLUT[827] = 32'hfe25fe5c;
SigmoidLUT[828] = 32'hfe2d4a40;
SigmoidLUT[829] = 32'hfe347998;
SigmoidLUT[830] = 32'hfe3b8cd1;
SigmoidLUT[831] = 32'hfe428458;
SigmoidLUT[832] = 32'hfe496098;
SigmoidLUT[833] = 32'hfe5021fa;
SigmoidLUT[834] = 32'hfe56c8e6;
SigmoidLUT[835] = 32'hfe5d55c2;
SigmoidLUT[836] = 32'hfe63c8f4;
SigmoidLUT[837] = 32'hfe6a22dd;
SigmoidLUT[838] = 32'hfe7063e1;
SigmoidLUT[839] = 32'hfe768c60;
SigmoidLUT[840] = 32'hfe7c9cb8;
SigmoidLUT[841] = 32'hfe829547;
SigmoidLUT[842] = 32'hfe88766a;
SigmoidLUT[843] = 32'hfe8e407b;
SigmoidLUT[844] = 32'hfe93f3d4;
SigmoidLUT[845] = 32'hfe9990cc;
SigmoidLUT[846] = 32'hfe9f17bb;
SigmoidLUT[847] = 32'hfea488f6;
SigmoidLUT[848] = 32'hfea9e4d2;
SigmoidLUT[849] = 32'hfeaf2ba2;
SigmoidLUT[850] = 32'hfeb45db7;
SigmoidLUT[851] = 32'hfeb97b62;
SigmoidLUT[852] = 32'hfebe84f2;
SigmoidLUT[853] = 32'hfec37ab7;
SigmoidLUT[854] = 32'hfec85cfb;
SigmoidLUT[855] = 32'hfecd2c0d;
SigmoidLUT[856] = 32'hfed1e836;
SigmoidLUT[857] = 32'hfed691c0;
SigmoidLUT[858] = 32'hfedb28f3;
SigmoidLUT[859] = 32'hfedfae18;
SigmoidLUT[860] = 32'hfee42174;
SigmoidLUT[861] = 32'hfee8834d;
SigmoidLUT[862] = 32'hfeecd3e7;
SigmoidLUT[863] = 32'hfef11386;
SigmoidLUT[864] = 32'hfef5426b;
SigmoidLUT[865] = 32'hfef960d9;
SigmoidLUT[866] = 32'hfefd6f0e;
SigmoidLUT[867] = 32'hff016d4c;
SigmoidLUT[868] = 32'hff055bcf;
SigmoidLUT[869] = 32'hff093ad6;
SigmoidLUT[870] = 32'hff0d0a9e;
SigmoidLUT[871] = 32'hff10cb61;
SigmoidLUT[872] = 32'hff147d5a;
SigmoidLUT[873] = 32'hff1820c4;
SigmoidLUT[874] = 32'hff1bb5d7;
SigmoidLUT[875] = 32'hff1f3ccb;
SigmoidLUT[876] = 32'hff22b5d8;
SigmoidLUT[877] = 32'hff262134;
SigmoidLUT[878] = 32'hff297f14;
SigmoidLUT[879] = 32'hff2ccfaf;
SigmoidLUT[880] = 32'hff301336;
SigmoidLUT[881] = 32'hff3349df;
SigmoidLUT[882] = 32'hff3673db;
SigmoidLUT[883] = 32'hff39915b;
SigmoidLUT[884] = 32'hff3ca291;
SigmoidLUT[885] = 32'hff3fa7ae;
SigmoidLUT[886] = 32'hff42a0e0;
SigmoidLUT[887] = 32'hff458e56;
SigmoidLUT[888] = 32'hff48703e;
SigmoidLUT[889] = 32'hff4b46c6;
SigmoidLUT[890] = 32'hff4e121a;
SigmoidLUT[891] = 32'hff50d266;
SigmoidLUT[892] = 32'hff5387d6;
SigmoidLUT[893] = 32'hff563294;
SigmoidLUT[894] = 32'hff58d2ca;
SigmoidLUT[895] = 32'hff5b68a2;
SigmoidLUT[896] = 32'hff5df444;
SigmoidLUT[897] = 32'hff6075d8;
SigmoidLUT[898] = 32'hff62ed87;
SigmoidLUT[899] = 32'hff655b76;
SigmoidLUT[900] = 32'hff67bfcc;
SigmoidLUT[901] = 32'hff6a1ab0;
SigmoidLUT[902] = 32'hff6c6c45;
SigmoidLUT[903] = 32'hff6eb4b1;
SigmoidLUT[904] = 32'hff70f418;
SigmoidLUT[905] = 32'hff732a9d;
SigmoidLUT[906] = 32'hff755863;
SigmoidLUT[907] = 32'hff777d8c;
SigmoidLUT[908] = 32'hff799a3b;
SigmoidLUT[909] = 32'hff7bae91;
SigmoidLUT[910] = 32'hff7dbaae;
SigmoidLUT[911] = 32'hff7fbeb4;
SigmoidLUT[912] = 32'hff81bac1;
SigmoidLUT[913] = 32'hff83aef6;
SigmoidLUT[914] = 32'hff859b71;
SigmoidLUT[915] = 32'hff878050;
SigmoidLUT[916] = 32'hff895db2;
SigmoidLUT[917] = 32'hff8b33b5;
SigmoidLUT[918] = 32'hff8d0274;
SigmoidLUT[919] = 32'hff8eca0d;
SigmoidLUT[920] = 32'hff908a9c;
SigmoidLUT[921] = 32'hff92443d;
SigmoidLUT[922] = 32'hff93f70b;
SigmoidLUT[923] = 32'hff95a321;
SigmoidLUT[924] = 32'hff974899;
SigmoidLUT[925] = 32'hff98e78e;
SigmoidLUT[926] = 32'hff9a8019;
SigmoidLUT[927] = 32'hff9c1254;
SigmoidLUT[928] = 32'hff9d9e57;
SigmoidLUT[929] = 32'hff9f243b;
SigmoidLUT[930] = 32'hffa0a418;
SigmoidLUT[931] = 32'hffa21e06;
SigmoidLUT[932] = 32'hffa3921c;
SigmoidLUT[933] = 32'hffa50071;
SigmoidLUT[934] = 32'hffa6691d;
SigmoidLUT[935] = 32'hffa7cc35;
SigmoidLUT[936] = 32'hffa929d0;
SigmoidLUT[937] = 32'hffaa8202;
SigmoidLUT[938] = 32'hffabd4e2;
SigmoidLUT[939] = 32'hffad2285;
SigmoidLUT[940] = 32'hffae6afe;
SigmoidLUT[941] = 32'hffafae63;
SigmoidLUT[942] = 32'hffb0ecc8;
SigmoidLUT[943] = 32'hffb22640;
SigmoidLUT[944] = 32'hffb35adf;
SigmoidLUT[945] = 32'hffb48ab8;
SigmoidLUT[946] = 32'hffb5b5de;
SigmoidLUT[947] = 32'hffb6dc63;
SigmoidLUT[948] = 32'hffb7fe59;
SigmoidLUT[949] = 32'hffb91bd4;
SigmoidLUT[950] = 32'hffba34e4;
SigmoidLUT[951] = 32'hffbb499a;
SigmoidLUT[952] = 32'hffbc5a09;
SigmoidLUT[953] = 32'hffbd6641;
SigmoidLUT[954] = 32'hffbe6e52;
SigmoidLUT[955] = 32'hffbf724d;
SigmoidLUT[956] = 32'hffc07243;
SigmoidLUT[957] = 32'hffc16e42;
SigmoidLUT[958] = 32'hffc2665b;
SigmoidLUT[959] = 32'hffc35a9e;
SigmoidLUT[960] = 32'hffc44b18;
SigmoidLUT[961] = 32'hffc537da;
SigmoidLUT[962] = 32'hffc620f2;
SigmoidLUT[963] = 32'hffc7066f;
SigmoidLUT[964] = 32'hffc7e85e;
SigmoidLUT[965] = 32'hffc8c6ce;
SigmoidLUT[966] = 32'hffc9a1cd;
SigmoidLUT[967] = 32'hffca7968;
SigmoidLUT[968] = 32'hffcb4dad;
SigmoidLUT[969] = 32'hffcc1ea8;
SigmoidLUT[970] = 32'hffccec68;
SigmoidLUT[971] = 32'hffcdb6f8;
SigmoidLUT[972] = 32'hffce7e65;
SigmoidLUT[973] = 32'hffcf42bc;
SigmoidLUT[974] = 32'hffd00409;
SigmoidLUT[975] = 32'hffd0c258;
SigmoidLUT[976] = 32'hffd17db4;
SigmoidLUT[977] = 32'hffd2362a;
SigmoidLUT[978] = 32'hffd2ebc5;
SigmoidLUT[979] = 32'hffd39e90;
SigmoidLUT[980] = 32'hffd44e97;
SigmoidLUT[981] = 32'hffd4fbe4;
SigmoidLUT[982] = 32'hffd5a681;
SigmoidLUT[983] = 32'hffd64e7b;
SigmoidLUT[984] = 32'hffd6f3db;
SigmoidLUT[985] = 32'hffd796ab;
SigmoidLUT[986] = 32'hffd836f6;
SigmoidLUT[987] = 32'hffd8d4c5;
SigmoidLUT[988] = 32'hffd97023;
SigmoidLUT[989] = 32'hffda0919;
SigmoidLUT[990] = 32'hffda9fb0;
SigmoidLUT[991] = 32'hffdb33f3;
SigmoidLUT[992] = 32'hffdbc5e9;
SigmoidLUT[993] = 32'hffdc559d;
SigmoidLUT[994] = 32'hffdce318;
SigmoidLUT[995] = 32'hffdd6e61;
SigmoidLUT[996] = 32'hffddf782;
SigmoidLUT[997] = 32'hffde7e84;
SigmoidLUT[998] = 32'hffdf036e;
SigmoidLUT[999] = 32'hffdf8649;
SigmoidLUT[1000] = 32'hffe0071d;
SigmoidLUT[1001] = 32'hffe085f3;
SigmoidLUT[1002] = 32'hffe102d1;
SigmoidLUT[1003] = 32'hffe17dc1;
SigmoidLUT[1004] = 32'hffe1f6c9;
SigmoidLUT[1005] = 32'hffe26df1;
SigmoidLUT[1006] = 32'hffe2e340;
SigmoidLUT[1007] = 32'hffe356bf;
SigmoidLUT[1008] = 32'hffe3c873;
SigmoidLUT[1009] = 32'hffe43864;
SigmoidLUT[1010] = 32'hffe4a69a;
SigmoidLUT[1011] = 32'hffe5131a;
SigmoidLUT[1012] = 32'hffe57ded;
SigmoidLUT[1013] = 32'hffe5e717;
SigmoidLUT[1014] = 32'hffe64ea1;
SigmoidLUT[1015] = 32'hffe6b490;
SigmoidLUT[1016] = 32'hffe718ea;
SigmoidLUT[1017] = 32'hffe77bb7;
SigmoidLUT[1018] = 32'hffe7dcfc;
SigmoidLUT[1019] = 32'hffe83cbf;
SigmoidLUT[1020] = 32'hffe89b06;
SigmoidLUT[1021] = 32'hffe8f7d8;
SigmoidLUT[1022] = 32'hffe95339;
SigmoidLUT[1023] = 32'hffe9ad30;
/verilog2/f2i.v
0,0 → 1,99
// ============================================================================
// __
// \\__/ o\ (C) 2006-2019 Robert Finch, Waterloo
// \ __ / All rights reserved.
// \/_// robfinch<remove>@finitron.ca
// ||
//
// f2i.v
// - convert floating point to integer
// - single cycle latency floating point unit
// - parameterized FPWIDth
// - IEEE 754 representation
//
//
// 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/>.
//
// i2f - convert integer to floating point
// f2i - convert floating point to integer
//
// ============================================================================
 
`include "fpConfig.sv"
 
module f2i(clk, ce, i, o, overflow);
parameter FPWID = 32;
`include "fpSize.sv"
input clk;
input ce;
input [MSB:0] i;
output [MSB:0] o;
output overflow;
 
wire [MSB:0] maxInt = {MSB{1'b1}}; // maximum unsigned integer value
wire [EMSB:0] zeroXp = {EMSB{1'b1}}; // simple constant - value of exp for zero
 
// Decompose fp value
reg sgn; // sign
always @(posedge clk)
if (ce) sgn = i[MSB];
wire [EMSB:0] exp = i[MSB-1:FMSB+1]; // exponent
wire [FMSB+1:0] man = {exp!=0,i[FMSB:0]}; // mantissa including recreate hidden bit
 
wire iz = i[MSB-1:0]==0; // zero value (special)
 
assign overflow = exp - zeroXp > MSB - `EXTRA_BITS; // lots of numbers are too big - don't forget one less bit is available due to signed values
wire underflow = exp < zeroXp - 1; // value less than 1/2
 
wire [7:0] shamt = MSB - (exp - zeroXp); // exp - zeroXp will be <= MSB
 
wire [MSB+1:0] o1 = {man,{EMSB+1{1'b0}},1'b0} >> shamt; // keep an extra bit for rounding
wire [MSB:0] o2 = o1[MSB+1:1] + o1[0]; // round up
reg [MSB:0] o3;
 
always @(posedge clk)
if (ce) begin
if (underflow|iz)
o3 <= 0;
else if (overflow)
o3 <= maxInt;
// value between 1/2 and 1 - round up
else if (exp==zeroXp-1)
o3 <= 1;
// value > 1
else
o3 <= o2;
end
assign o = sgn ? -o3 : o3; // adjust output for correct signed value
 
endmodule
 
module f2i_tb();
 
wire ov0,ov1;
wire [31:0] io0,io1;
reg clk;
 
initial begin
clk = 0;
end
 
always #10 clk = ~clk;
 
f2i #(32) u1 (.clk(clk), .ce(1'b1), .i(32'h3F800000), .o(io1), .overflow(ov1) );
f2i #(32) u2 (.clk(clk), .ce(1'b1), .i(32'h00000000), .o(io0), .overflow(ov0) );
f2i #(80) u3 (.clk(clk), .ce(1'b1), .i(80'h3FF80000000000000000), .o(io1), .overflow(ov1) );
 
endmodule
/verilog2/fcvtsq.v
0,0 → 1,84
// ============================================================================
// __
// \\__/ o\ (C) 2006-2016 Robert Finch, Waterloo
// \ __ / All rights reserved.
// \/_// robfinch<remove>@finitron.ca
// ||
//
// fcvtsq.v
// - convert single precision to quad precision
// - zero latency
// - IEEE 754 representation
//
//
// 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"
 
module fcvtsq(a, o);
parameter FPWID = 128;
`include "fpSize.sv"
input [31:0] a;
output reg [FPWID-1:0] o;
wire sa;
wire [7:0] xa;
wire [22:0] ma;
wire [23:0] fracta;
wire adn;
wire az;
wire xaInf;
wire xInf;
wire aNan;
 
fpDecomp #(32) u1a (.i(a), .sgn(sa), .exp(xa), .man(ma), .fract(fracta), .xz(adn), .vz(az), .xinf(xaInf), .inf(aInf), .nan(aNan) );
 
 
 
always @*
begin
o[127] <= a[31]; // sign bit
casex({aNan,aInf,az,adn})
// NaN in, NaN out
4'b1xxx:
begin
o[126:111] <= 16'hFFFF;
o[110:103] <= a[22:15];
o[14:0] <= a[14:0];
end
// Infinity in, infinity out
4'bx1xx:
begin
o[126:111] <= 16'hFFFF;
o[110:0] <= 111'b0;
end
// Zero in, zero out
4'bxx1x:
o[126:0] <= 127'b0;
// Denormal
4'bxxx1:
begin
o[126:111] <= 16'h0000;
o[110:88] <= ma;
end
default:
begin
o[126:111] <= xa + 16256;
o[110:88] <= ma;
end
endcase
end
 
endmodule
/verilog2/fd2s.v
0,0 → 1,66
// ============================================================================
// __
// \\__/ o\ (C) 2006-2017 Robert Finch, Waterloo
// \ __ / All rights reserved.
// \/_// robfinch<remove>@finitron.ca
// ||
//
// fd2s.v
// - convert floating point double to single
//
//
// 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"
 
module fd2s(a, o);
input [63:0] a;
output reg [31:0] o;
 
wire signi;
wire [10:0] expi;
wire [51:0] mani;
wire xinf;
wire xz;
wire vz;
fpDecomp #(64) u1 (.i(a), .sgn(signi), .exp(expi), .man(mani), .xinf(xinf), .xz(xz), .vz(vz) );
wire [11:0] exp = expi - 11'h896; // 1023-127 (difference of the bias)
 
always @*
begin
o[31] <= signi; // sign out = sign in, easy
o[22:0] <= a[51:29];
if (xinf)
o[30:23] <= 8'hFF;
else if (vz)
o[30:23] <= 8'h00;
else if (xz)
o[30:23] <= 8'h00;
else begin
if (exp[11]) begin // exponent is too low - set number to zero
o[30:23] <= 8'h00;
o[22:0] <= 23'h000000;
end
else if (|exp[10:8]) begin // exponent is too high - set number to infinity
o[30:23] <= 8'hFF;
o[22:0] <= 23'h000000;
end
else // exponent in range
o[30:23] <= exp[7:0];
end
end
 
endmodule
/verilog2/fpAddsub.v
0,0 → 1,353
// ============================================================================
// __
// \\__/ o\ (C) 2006-2019 Robert Finch, Waterloo
// \ __ / All rights reserved.
// \/_// robfinch<remove>@finitron.ca
// ||
//
// fpAddsub.v
// - floating point adder/subtracter
// - ten cycle latency
// - can issue every clock cycle
// - parameterized FPWIDth
// - IEEE 754 representation
//
//
// 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"
 
module fpAddsub(clk, ce, rm, op, a, b, o);
parameter FPWID = 128;
`include "fpSize.sv"
 
input clk; // system clock
input ce; // core clock enable
input [2:0] rm; // rounding mode
input op; // operation 0 = add, 1 = subtract
input [MSB:0] a; // operand a
input [MSB:0] b; // operand b
output [EX:0] o; // output
 
wire so; // sign output
wire [EMSB:0] xo; // de normalized exponent output
reg [FX:0] mo; // mantissa output
 
assign o = {so,xo,mo};
 
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
// Clock edge #1
// - Decompose inputs into more digestible values.
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
wire [MSB:0] a1;
wire [MSB:0] b1;
wire sa1, sb1;
wire [EMSB:0] xa1, xb1;
wire [FMSB:0] ma1, mb1;
wire [FMSB+1:0] fracta1, fractb1;
wire adn1, bdn1; // a,b denormalized ?
wire xaInf1, xbInf1;
wire aInf1, bInf1;
wire aNan1, bNan1;
wire az1, bz1; // operand a,b is zero
wire op1;
 
fpDecompReg #(FPWID) u1a (.clk(clk), .ce(ce), .i(a), .o(a1), .sgn(sa1), .exp(xa1), .man(ma1), .fract(fracta1), .xz(adn1), .vz(az1), .xinf(xaInf1), .inf(aInf1), .nan(aNan1) );
fpDecompReg #(FPWID) u1b (.clk(clk), .ce(ce), .i(b), .o(b1), .sgn(sb1), .exp(xb1), .man(mb1), .fract(fractb1), .xz(bdn1), .vz(bz1), .xinf(xbInf1), .inf(bInf1), .nan(bNan1) );
delay1 #(1) dop1(.clk(clk), .ce(ce), .i(op), .o(op1) );
 
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
// Clock edge #2
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
reg xabeq2;
reg mabeq2;
reg anbz2;
reg xabInf2;
reg anbInf2;
wire [EMSB:0] xa2, xb2;
wire [FMSB:0] ma2, mb2;
// operands sign,exponent,mantissa
wire [FMSB+1:0] fracta2, fractb2;
wire az2, bz2; // operand a,b is zero
reg xa_gt_xb2;
reg var2;
reg [EMSB:0] xad2;
reg [EMSB:0] xbd2;
reg realOp2;
 
delay1 #(EMSB+1) dxa2(.clk(clk), .ce(ce), .i(xa1), .o(xa2) );
delay1 #(EMSB+1) dxb2(.clk(clk), .ce(ce), .i(xb1), .o(xb2) );
delay1 #(FMSB+1) dma2(.clk(clk), .ce(ce), .i(ma1), .o(ma2) );
delay1 #(FMSB+1) dmb2(.clk(clk), .ce(ce), .i(mb1), .o(mb2) );
delay1 #(1) daz2(.clk(clk), .ce(ce), .i(az1), .o(az2) );
delay1 #(1) dbz2(.clk(clk), .ce(ce), .i(bz1), .o(bz2) );
delay1 #(FMSB+2) dfracta2(.clk(clk), .ce(ce), .i(fracta1), .o(fracta2) );
delay1 #(FMSB+2) dfractb2(.clk(clk), .ce(ce), .i(fractb1), .o(fractb2) );
 
always @(posedge clk)
if (ce) xa_gt_xb2 <= xa1 > xb1;
always @(posedge clk)
if (ce) var2 <= (xa1==xb1 && ma1 > mb1);
always @(posedge clk)
if (ce) xad2 <= xa1|adn1; // operand a exponent, compensated for denormalized numbers
always @(posedge clk)
if (ce) xbd2 <= xb1|bdn1; // operand b exponent, compensated for denormalized numbers
always @(posedge clk)
if (ce) xabeq2 <= xa1==xb1;
always @(posedge clk)
if (ce) mabeq2 <= ma1==mb1;
always @(posedge clk)
if (ce) anbz2 <= az1 & bz1;
always @(posedge clk)
if (ce) xabInf2 <= xaInf1 & xbInf1;
always @(posedge clk)
if (ce) anbInf2 <= aInf1 & bInf1;
 
// Figure out which operation is really needed an add or
// subtract ?
// If the signs are the same, use the orignal op,
// otherwise flip the operation
// a + b = add,+
// a + -b = sub, so of larger
// -a + b = sub, so of larger
// -a + -b = add,-
// a - b = sub, so of larger
// a - -b = add,+
// -a - b = add,-
// -a - -b = sub, so of larger
always @(posedge clk)
if (ce) realOp2 <= op1 ^ sa1 ^ sb1;
 
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
// Clock edge #3
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
wire [EMSB:0] xa3, xb3;
wire xa_gt_xb3;
reg x_gt_b3;
wire xabInf3;
wire sa3,sb3;
wire op3;
wire [2:0] rm3;
reg [EMSB:0] xdiff3;
// which has greater magnitude ? Used for sign calc
reg a_gt_b3;
reg resZero3;
reg [FMSB+1:0] mfs3;
 
delay1 #(EMSB+1) dxa3(.clk(clk), .ce(ce), .i(xa2), .o(xa3));
delay1 #(EMSB+1) dxb3(.clk(clk), .ce(ce), .i(xb2), .o(xb3));
delay1 #(1) dxabInf2(.clk(clk), .ce(ce), .i(xabInf2), .o(xabInf3));
delay1 #(1) dxagtxb2(.clk(clk), .ce(ce), .i(xa_gt_xb2), .o(xa_gt_xb3));
delay2 #(1) dsa2(.clk(clk), .ce(ce), .i(sa1), .o(sa3));
delay2 #(1) dsb2(.clk(clk), .ce(ce), .i(sb1), .o(sb3));
delay2 #(1) dop2(.clk(clk), .ce(ce), .i(op1), .o(op3));
delay3 #(3) drm2(.clk(clk), .ce(ce), .i(rm), .o(rm3));
 
always @(posedge clk)
if (ce) a_gt_b3 <= xa_gt_xb2 || var2;
// Find out if the result will be zero.
always @(posedge clk)
if (ce) resZero3 <= (realOp2 & xabeq2 & mabeq2) | anbz2; // subtract, same magnitude, both a,b zero
 
// Compute the difference in exponents, provides shift amount
always @(posedge clk)
if (ce) xdiff3 <= xa_gt_xb2 ? xad2 - xbd2 : xbd2 - xad2;
// determine which fraction to denormalize
always @(posedge clk)
if (ce) mfs3 <= xa_gt_xb2 ? fractb2 : fracta2;
 
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
// Clock edge #4
// Compute output exponent
//
// The output exponent is the larger of the two exponents, unless a subtract
// operation is in progress and the two numbers are equal, in which case the
// exponent should be zero.
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
reg [EMSB:0] xdif4;
wire [FMSB+1:0] mfs4;
reg [EMSB:0] xo4; // de normalized exponent output
reg so4;
 
always @(posedge clk)
if (ce) xo4 <= xabInf3 ? xa3 : resZero3 ? {EMSB+1{1'b0}} : xa_gt_xb3 ? xa3 : xb3;
 
// Compute output sign
always @(posedge clk)
if (ce)
case ({resZero3,sa3,op3,sb3}) // synopsys full_case parallel_case
4'b0000: so4 <= 0; // + + + = +
4'b0001: so4 <= !a_gt_b3; // + + - = sign of larger
4'b0010: so4 <= !a_gt_b3; // + - + = sign of larger
4'b0011: so4 <= 0; // + - - = +
4'b0100: so4 <= a_gt_b3; // - + + = sign of larger
4'b0101: so4 <= 1; // - + - = -
4'b0110: so4 <= 1; // - - + = -
4'b0111: so4 <= a_gt_b3; // - - - = sign of larger
4'b1000: so4 <= 0; // A + B, sign = +
4'b1001: so4 <= rm3==3'd3; // A + -B, sign = + unless rounding down
4'b1010: so4 <= rm3==3'd3; // A - B, sign = + unless rounding down
4'b1011: so4 <= 0; // +A - -B, sign = +
4'b1100: so4 <= rm3==3'd3; // -A + B, sign = + unless rounding down
4'b1101: so4 <= 1; // -A + -B, sign = -
4'b1110: so4 <= 1; // -A - +B, sign = -
4'b1111: so4 <= rm3==3'd3; // -A - -B, sign = + unless rounding down
endcase
 
always @(posedge clk)
if (ce) xdif4 <= xdiff3 > FMSB+3 ? FMSB+3 : xdiff3;
delay1 #(FMSB+2) dmsf3(.clk(clk), .ce(ce), .i(mfs3), .o(mfs4));
 
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
// Clock edge #5
// Determine the sticky bit
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
wire [EMSB:0] xdif5;
wire [FMSB+1:0] mfs5;
wire sticky, sticky5;
 
// register inputs to shifter and shift
delay1 #(1) dstky4(.clk(clk), .ce(ce), .i(sticky), .o(sticky5) );
delay1 #(EMSB+1) dxdif4(.clk(clk), .ce(ce), .i(xdif4), .o(xdif5) );
delay1 #(FMSB+2) dmsf4(.clk(clk), .ce(ce), .i(mfs4), .o(mfs5));
 
generate
begin
if (FPWID+`EXTRA_BITS==128)
redor128 u1 (.a(xdif4), .b({mfs4,2'b0}), .o(sticky) );
else if (FPWID+`EXTRA_BITS==96)
redor96 u1 (.a(xdif4), .b({mfs4,2'b0}), .o(sticky) );
else if (FPWID+`EXTRA_BITS==84)
redor84 u1 (.a(xdif4), .b({mfs4,2'b0}), .o(sticky) );
else if (FPWID+`EXTRA_BITS==80)
redor80 u1 (.a(xdif4), .b({mfs4,2'b0}), .o(sticky) );
else if (FPWID+`EXTRA_BITS==64)
redor64 u1 (.a(xdif4), .b({mfs4,2'b0}), .o(sticky) );
else if (FPWID+`EXTRA_BITS==40)
redor40 u1 (.a(xdif4), .b({mfs4,2'b0}), .o(sticky) );
else if (FPWID+`EXTRA_BITS==32)
redor32 u1 (.a(xdif4), .b({mfs4,2'b0}), .o(sticky) );
end
endgenerate
 
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
// Clock edge #6
// Shift (denormalize)
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
reg [FMSB+3:0] md6;
wire xa_gt_xb6;
wire [FMSB+1:0] fracta6, fractb6;
 
delay3 #(1) dxagtxb5(.clk(clk), .ce(ce), .i(xa_gt_xb3), .o(xa_gt_xb6));
delay4 #(FMSB+2) dfracta5(.clk(clk), .ce(ce), .i(fracta2), .o(fracta6) );
delay4 #(FMSB+2) dfractb5(.clk(clk), .ce(ce), .i(fractb2), .o(fractb6) );
 
always @(posedge clk)
if (ce) md6 <= ({mfs5,2'b0} >> xdif5)|sticky5;
 
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
// Clock edge #7
// Sort operands
// addition can generate an extra bit, subtract can't go negative
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
reg [FMSB+3:0] oa7;
reg [FMSB+3:0] ob7;
wire a_gt_b7;
 
delay4 #(1) dagtb5(.clk(clk), .ce(ce), .i(a_gt_b3), .o(a_gt_b7));
 
always @(posedge clk)
if (ce) oa7 <= xa_gt_xb6 ? {fracta6,2'b0} : md6;
always @(posedge clk)
if (ce) ob7 <= xa_gt_xb6 ? md6 : {fractb6,2'b0};
 
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
// Clock edge #8
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
reg [FMSB+3:0] oaa8;
reg [FMSB+3:0] obb8;
wire [EMSB:0] xo8;
wire realOp8;
vtdl #(.WID(1)) drealop7 (.clk(clk), .ce(ce), .a(4'd5), .d(realOp2), .q(realOp8));
vtdl #(.WID(EMSB+1)) dxo7(.clk(clk), .ce(ce), .a(4'd3), .d(xo4), .q(xo8));
always @(posedge clk)
if (ce) oaa8 <= a_gt_b7 ? oa7 : ob7;
always @(posedge clk)
if (ce) obb8 <= a_gt_b7 ? ob7 : oa7;
 
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
// Clock edge #9
// perform add/subtract
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
reg [FMSB+4:0] mab9;
wire anbInf9;
wire aNan9, bNan9;
wire op9;
wire [FMSB+1:0] fracta9, fractb9;
wire xo9;
reg xinf9;
 
vtdl #(1) danbInf7(.clk(clk), .ce(ce), .a(4'd6), .d(anbInf2), .q(anbInf9));
vtdl #(1) danan8(.clk(clk), .ce(ce), .a(4'd7), .d(aNan1), .q(aNan9));
vtdl #(1) dbnan8(.clk(clk), .ce(ce), .a(4'd7), .d(bNan1), .q(bNan9));
vtdl #(1) dop6(.clk(clk), .ce(ce), .a(4'd5), .d(op3), .q(op9));
delay3 #(FMSB+2) dfracta8(.clk(clk), .ce(ce), .i(fracta6), .o(fracta9) );
delay3 #(FMSB+2) dfractb8(.clk(clk), .ce(ce), .i(fractb6), .o(fractb9) );
 
always @(posedge clk)
if (ce) mab9 <= realOp8 ? oaa8 - obb8 : oaa8 + obb8;
always @(posedge clk)
if (ce) xinf9 <= xo8 == {EMSB+1{1'b1}};
 
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
// Clock edge #10
// Final outputs
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
vtdl #(1) dso6(.clk(clk), .ce(ce), .a(4'd5), .d(so4), .q(so));
vtdl #(.WID(EMSB+1)) dxo6(.clk(clk), .ce(ce), .a(4'd1), .d(xo8), .q(xo));
 
always @(posedge clk)
if (ce)
casez({anbInf9,aNan9,bNan9,xinf9})
4'b1???: mo <= {1'b0,op9,{FMSB-1{1'b0}},op9,{FMSB{1'b0}}}; // inf +/- inf - generate QNaN on subtract, inf on add
4'b01??: mo <= {1'b1,1'b1,fracta9[FMSB-1:0],{FMSB+1{1'b0}}}; // set MSB of Nan to convert to quiet
4'b001?: mo <= {1'b1,1'b1,fractb9[FMSB-1:0],{FMSB+1{1'b0}}};
4'b0001: mo <= 1'd0; // exponent hit infinity -> force mantissa to zero
default: mo <= {mab9,{FMSB-1{1'b0}}}; // mab has an extra lead bit and two trailing bits
endcase
 
endmodule
 
module fpAddsubnr(clk, ce, rm, op, a, b, o);
parameter FPWID = 128;
`include "fpSize.sv"
 
input clk; // system clock
input ce; // core clock enable
input [2:0] rm; // rounding mode
input op; // operation 0 = add, 1 = subtract
input [MSB:0] a; // operand a
input [MSB:0] b; // operand b
output [MSB:0] o; // output
 
wire [EX:0] o1;
wire [MSB+3:0] fpn0;
 
fpAddsub #(FPWID) u1 (clk, ce, rm, op, a, b, o1);
fpNormalize #(FPWID) u2(.clk(clk), .ce(ce), .under(1'b0), .i(o1), .o(fpn0) );
fpRound #(FPWID) u3(.clk(clk), .ce(ce), .rm(rm), .i(fpn0), .o(o) );
 
endmodule
/verilog2/fpAddsub_L10.v
0,0 → 1,353
// ============================================================================
// __
// \\__/ o\ (C) 2006-2019 Robert Finch, Waterloo
// \ __ / All rights reserved.
// \/_// robfinch<remove>@finitron.ca
// ||
//
// fpAddsub.v
// - floating point adder/subtracter
// - ten cycle latency
// - can issue every clock cycle
// - parameterized FPWIDth
// - IEEE 754 representation
//
//
// 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"
 
module fpAddsub_L10(clk, ce, rm, op, a, b, o);
parameter FPWID = 128;
`include "fpSize.sv"
 
input clk; // system clock
input ce; // core clock enable
input [2:0] rm; // rounding mode
input op; // operation 0 = add, 1 = subtract
input [MSB:0] a; // operand a
input [MSB:0] b; // operand b
output [EX:0] o; // output
 
wire so; // sign output
wire [EMSB:0] xo; // de normalized exponent output
reg [FX:0] mo; // mantissa output
 
assign o = {so,xo,mo};
 
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
// Clock edge #1
// - Decompose inputs into more digestible values.
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
wire [MSB:0] a1;
wire [MSB:0] b1;
wire sa1, sb1;
wire [EMSB:0] xa1, xb1;
wire [FMSB:0] ma1, mb1;
wire [FMSB+1:0] fracta1, fractb1;
wire adn1, bdn1; // a,b denormalized ?
wire xaInf1, xbInf1;
wire aInf1, bInf1;
wire aNan1, bNan1;
wire az1, bz1; // operand a,b is zero
wire op1;
 
fpDecompReg #(FPWID) u1a (.clk(clk), .ce(ce), .i(a), .o(a1), .sgn(sa1), .exp(xa1), .man(ma1), .fract(fracta1), .xz(adn1), .vz(az1), .xinf(xaInf1), .inf(aInf1), .nan(aNan1) );
fpDecompReg #(FPWID) u1b (.clk(clk), .ce(ce), .i(b), .o(b1), .sgn(sb1), .exp(xb1), .man(mb1), .fract(fractb1), .xz(bdn1), .vz(bz1), .xinf(xbInf1), .inf(bInf1), .nan(bNan1) );
delay1 #(1) dop1(.clk(clk), .ce(ce), .i(op), .o(op1) );
 
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
// Clock edge #2
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
reg xabeq2;
reg mabeq2;
reg anbz2;
reg xabInf2;
reg anbInf2;
wire [EMSB:0] xa2, xb2;
wire [FMSB:0] ma2, mb2;
// operands sign,exponent,mantissa
wire [FMSB+1:0] fracta2, fractb2;
wire az2, bz2; // operand a,b is zero
reg xa_gt_xb2;
reg var2;
reg [EMSB:0] xad2;
reg [EMSB:0] xbd2;
reg realOp2;
 
delay1 #(EMSB+1) dxa2(.clk(clk), .ce(ce), .i(xa1), .o(xa2) );
delay1 #(EMSB+1) dxb2(.clk(clk), .ce(ce), .i(xb1), .o(xb2) );
delay1 #(FMSB+1) dma2(.clk(clk), .ce(ce), .i(ma1), .o(ma2) );
delay1 #(FMSB+1) dmb2(.clk(clk), .ce(ce), .i(mb1), .o(mb2) );
delay1 #(1) daz2(.clk(clk), .ce(ce), .i(az1), .o(az2) );
delay1 #(1) dbz2(.clk(clk), .ce(ce), .i(bz1), .o(bz2) );
delay1 #(FMSB+2) dfracta2(.clk(clk), .ce(ce), .i(fracta1), .o(fracta2) );
delay1 #(FMSB+2) dfractb2(.clk(clk), .ce(ce), .i(fractb1), .o(fractb2) );
 
always @(posedge clk)
if (ce) xa_gt_xb2 <= xa1 > xb1;
always @(posedge clk)
if (ce) var2 <= (xa1==xb1 && ma1 > mb1);
always @(posedge clk)
if (ce) xad2 <= xa1|adn1; // operand a exponent, compensated for denormalized numbers
always @(posedge clk)
if (ce) xbd2 <= xb1|bdn1; // operand b exponent, compensated for denormalized numbers
always @(posedge clk)
if (ce) xabeq2 <= xa1==xb1;
always @(posedge clk)
if (ce) mabeq2 <= ma1==mb1;
always @(posedge clk)
if (ce) anbz2 <= az1 & bz1;
always @(posedge clk)
if (ce) xabInf2 <= xaInf1 & xbInf1;
always @(posedge clk)
if (ce) anbInf2 <= aInf1 & bInf1;
 
// Figure out which operation is really needed an add or
// subtract ?
// If the signs are the same, use the orignal op,
// otherwise flip the operation
// a + b = add,+
// a + -b = sub, so of larger
// -a + b = sub, so of larger
// -a + -b = add,-
// a - b = sub, so of larger
// a - -b = add,+
// -a - b = add,-
// -a - -b = sub, so of larger
always @(posedge clk)
if (ce) realOp2 <= op1 ^ sa1 ^ sb1;
 
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
// Clock edge #3
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
wire [EMSB:0] xa3, xb3;
wire xa_gt_xb3;
reg x_gt_b3;
wire xabInf3;
wire sa3,sb3;
wire op3;
wire [2:0] rm3;
reg [EMSB:0] xdiff3;
// which has greater magnitude ? Used for sign calc
reg a_gt_b3;
reg resZero3;
reg [FMSB+1:0] mfs3;
 
delay1 #(EMSB+1) dxa3(.clk(clk), .ce(ce), .i(xa2), .o(xa3));
delay1 #(EMSB+1) dxb3(.clk(clk), .ce(ce), .i(xb2), .o(xb3));
delay1 #(1) dxabInf2(.clk(clk), .ce(ce), .i(xabInf2), .o(xabInf3));
delay1 #(1) dxagtxb2(.clk(clk), .ce(ce), .i(xa_gt_xb2), .o(xa_gt_xb3));
delay2 #(1) dsa2(.clk(clk), .ce(ce), .i(sa1), .o(sa3));
delay2 #(1) dsb2(.clk(clk), .ce(ce), .i(sb1), .o(sb3));
delay2 #(1) dop2(.clk(clk), .ce(ce), .i(op1), .o(op3));
delay3 #(3) drm2(.clk(clk), .ce(ce), .i(rm), .o(rm3));
 
always @(posedge clk)
if (ce) a_gt_b3 <= xa_gt_xb2 || var2;
// Find out if the result will be zero.
always @(posedge clk)
if (ce) resZero3 <= (realOp2 & xabeq2 & mabeq2) | anbz2; // subtract, same magnitude, both a,b zero
 
// Compute the difference in exponents, provides shift amount
always @(posedge clk)
if (ce) xdiff3 <= xa_gt_xb2 ? xad2 - xbd2 : xbd2 - xad2;
// determine which fraction to denormalize
always @(posedge clk)
if (ce) mfs3 <= xa_gt_xb2 ? fractb2 : fracta2;
 
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
// Clock edge #4
// Compute output exponent
//
// The output exponent is the larger of the two exponents, unless a subtract
// operation is in progress and the two numbers are equal, in which case the
// exponent should be zero.
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
reg [EMSB:0] xdif4;
wire [FMSB+1:0] mfs4;
reg [EMSB:0] xo4; // de normalized exponent output
reg so4;
 
always @(posedge clk)
if (ce) xo4 <= xabInf3 ? xa3 : resZero3 ? {EMSB+1{1'b0}} : xa_gt_xb3 ? xa3 : xb3;
 
// Compute output sign
always @(posedge clk)
if (ce)
case ({resZero3,sa3,op3,sb3}) // synopsys full_case parallel_case
4'b0000: so4 <= 0; // + + + = +
4'b0001: so4 <= !a_gt_b3; // + + - = sign of larger
4'b0010: so4 <= !a_gt_b3; // + - + = sign of larger
4'b0011: so4 <= 0; // + - - = +
4'b0100: so4 <= a_gt_b3; // - + + = sign of larger
4'b0101: so4 <= 1; // - + - = -
4'b0110: so4 <= 1; // - - + = -
4'b0111: so4 <= a_gt_b3; // - - - = sign of larger
4'b1000: so4 <= 0; // A + B, sign = +
4'b1001: so4 <= rm3==3'd3; // A + -B, sign = + unless rounding down
4'b1010: so4 <= rm3==3'd3; // A - B, sign = + unless rounding down
4'b1011: so4 <= 0; // +A - -B, sign = +
4'b1100: so4 <= rm3==3'd3; // -A + B, sign = + unless rounding down
4'b1101: so4 <= 1; // -A + -B, sign = -
4'b1110: so4 <= 1; // -A - +B, sign = -
4'b1111: so4 <= rm3==3'd3; // -A - -B, sign = + unless rounding down
endcase
 
always @(posedge clk)
if (ce) xdif4 <= xdiff3 > FMSB+3 ? FMSB+3 : xdiff3;
delay1 #(FMSB+2) dmsf3(.clk(clk), .ce(ce), .i(mfs3), .o(mfs4));
 
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
// Clock edge #5
// Determine the sticky bit
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
wire [EMSB:0] xdif5;
wire [FMSB+1:0] mfs5;
wire sticky, sticky5;
 
// register inputs to shifter and shift
delay1 #(1) dstky4(.clk(clk), .ce(ce), .i(sticky), .o(sticky5) );
delay1 #(EMSB+1) dxdif4(.clk(clk), .ce(ce), .i(xdif4), .o(xdif5) );
delay1 #(FMSB+2) dmsf4(.clk(clk), .ce(ce), .i(mfs4), .o(mfs5));
 
generate
begin
if (FPWID+`EXTRA_BITS==128)
redor128 u1 (.a(xdif4), .b({mfs4,2'b0}), .o(sticky) );
else if (FPWID+`EXTRA_BITS==96)
redor96 u1 (.a(xdif4), .b({mfs4,2'b0}), .o(sticky) );
else if (FPWID+`EXTRA_BITS==84)
redor84 u1 (.a(xdif4), .b({mfs4,2'b0}), .o(sticky) );
else if (FPWID+`EXTRA_BITS==80)
redor80 u1 (.a(xdif4), .b({mfs4,2'b0}), .o(sticky) );
else if (FPWID+`EXTRA_BITS==64)
redor64 u1 (.a(xdif4), .b({mfs4,2'b0}), .o(sticky) );
else if (FPWID+`EXTRA_BITS==40)
redor40 u1 (.a(xdif4), .b({mfs4,2'b0}), .o(sticky) );
else if (FPWID+`EXTRA_BITS==32)
redor32 u1 (.a(xdif4), .b({mfs4,2'b0}), .o(sticky) );
end
endgenerate
 
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
// Clock edge #6
// Shift (denormalize)
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
reg [FMSB+3:0] md6;
wire xa_gt_xb6;
wire [FMSB+1:0] fracta6, fractb6;
 
delay3 #(1) dxagtxb5(.clk(clk), .ce(ce), .i(xa_gt_xb3), .o(xa_gt_xb6));
delay4 #(FMSB+2) dfracta5(.clk(clk), .ce(ce), .i(fracta2), .o(fracta6) );
delay4 #(FMSB+2) dfractb5(.clk(clk), .ce(ce), .i(fractb2), .o(fractb6) );
 
always @(posedge clk)
if (ce) md6 <= ({mfs5,2'b0} >> xdif5)|sticky5;
 
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
// Clock edge #7
// Sort operands
// addition can generate an extra bit, subtract can't go negative
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
reg [FMSB+3:0] oa7;
reg [FMSB+3:0] ob7;
wire a_gt_b7;
 
delay4 #(1) dagtb5(.clk(clk), .ce(ce), .i(a_gt_b3), .o(a_gt_b7));
 
always @(posedge clk)
if (ce) oa7 <= xa_gt_xb6 ? {fracta6,2'b0} : md6;
always @(posedge clk)
if (ce) ob7 <= xa_gt_xb6 ? md6 : {fractb6,2'b0};
 
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
// Clock edge #8
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
reg [FMSB+3:0] oaa8;
reg [FMSB+3:0] obb8;
wire [EMSB:0] xo8;
wire realOp8;
vtdl #(.WID(1)) drealop7 (.clk(clk), .ce(ce), .a(4'd5), .d(realOp2), .q(realOp8));
vtdl #(.WID(EMSB+1)) dxo7(.clk(clk), .ce(ce), .a(4'd3), .d(xo4), .q(xo8));
always @(posedge clk)
if (ce) oaa8 <= a_gt_b7 ? oa7 : ob7;
always @(posedge clk)
if (ce) obb8 <= a_gt_b7 ? ob7 : oa7;
 
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
// Clock edge #9
// perform add/subtract
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
reg [FMSB+4:0] mab9;
wire anbInf9;
wire aNan9, bNan9;
wire op9;
wire [FMSB+1:0] fracta9, fractb9;
wire xo9;
reg xinf9;
 
vtdl #(1) danbInf7(.clk(clk), .ce(ce), .a(4'd6), .d(anbInf2), .q(anbInf9));
vtdl #(1) danan8(.clk(clk), .ce(ce), .a(4'd7), .d(aNan1), .q(aNan9));
vtdl #(1) dbnan8(.clk(clk), .ce(ce), .a(4'd7), .d(bNan1), .q(bNan9));
vtdl #(1) dop6(.clk(clk), .ce(ce), .a(4'd5), .d(op3), .q(op9));
delay3 #(FMSB+2) dfracta8(.clk(clk), .ce(ce), .i(fracta6), .o(fracta9) );
delay3 #(FMSB+2) dfractb8(.clk(clk), .ce(ce), .i(fractb6), .o(fractb9) );
 
always @(posedge clk)
if (ce) mab9 <= realOp8 ? oaa8 - obb8 : oaa8 + obb8;
always @(posedge clk)
if (ce) xinf9 <= xo8 == {EMSB+1{1'b1}};
 
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
// Clock edge #10
// Final outputs
// - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
vtdl #(1) dso6(.clk(clk), .ce(ce), .a(4'd5), .d(so4), .q(so));
vtdl #(.WID(EMSB+1)) dxo6(.clk(clk), .ce(ce), .a(4'd1), .d(xo8), .q(xo));
 
always @(posedge clk)
if (ce)
casez({anbInf9,aNan9,bNan9,xinf9})
4'b1???: mo <= {1'b0,op9,{FMSB-1{1'b0}},op9,{FMSB{1'b0}}}; // inf +/- inf - generate QNaN on subtract, inf on add
4'b01??: mo <= {1'b1,1'b1,fracta9[FMSB-1:0],{FMSB+1{1'b0}}}; // Set MSB of Nan to convert to quiet
4'b001?: mo <= {1'b1,1'b1,fractb9[FMSB-1:0],{FMSB+1{1'b0}}};
4'b0001: mo <= 1'd0; // exponent hit infinity -> force mantissa to zero
default: mo <= {mab9,{FMSB-1{1'b0}}}; // mab has an extra lead bit and two trailing bits
endcase
 
endmodule
 
module fpAddsubnr_L10(clk, ce, rm, op, a, b, o);
parameter FPWID = 128;
`include "fpSize.sv"
 
input clk; // system clock
input ce; // core clock enable
input [2:0] rm; // rounding mode
input op; // operation 0 = add, 1 = subtract
input [MSB:0] a; // operand a
input [MSB:0] b; // operand b
output [MSB:0] o; // output
 
wire [EX:0] o1;
wire [MSB+3:0] fpn0;
 
fpAddsub_L10 #(FPWID) u1 (clk, ce, rm, op, a, b, o1);
fpNormalize #(FPWID) u2(.clk(clk), .ce(ce), .under_i(1'b0), .i(o1), .o(fpn0) );
fpRound #(FPWID) u3(.clk(clk), .ce(ce), .rm(rm), .i(fpn0), .o(o) );
 
endmodule
/verilog2/fpCompare.sv
0,0 → 1,74
// ============================================================================
// __
// \\__/ o\ (C) 2007-2019 Robert Finch, Waterloo
// \ __ / All rights reserved.
// \/_// robfinch<remove>@finitron.ca
// ||
//
// fpCompare.sv
// - floating point comparison unit
// - parameterized FPWIDth
// - IEEE 754 representation
//
//
// 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"
 
module fpCompare(a, b, o, nanx);
parameter FPWID = 32;
`include "fpSize.sv"
 
input [MSB:0] a, b;
output [4:0] o;
reg [4:0] o;
output nanx;
 
// Decompose the operands
wire sa;
wire sb;
wire [EMSB:0] xa;
wire [EMSB:0] xb;
wire [FMSB:0] ma;
wire [FMSB:0] mb;
wire az, bz;
wire nan_a, nan_b;
 
fpDecomp #(FPWID) u1(.i(a), .sgn(sa), .exp(xa), .man(ma), .vz(az), .qnan(), .snan(), .nan(nan_a) );
fpDecomp #(FPWID) u2(.i(b), .sgn(sb), .exp(xb), .man(mb), .vz(bz), .qnan(), .snan(), .nan(nan_b) );
 
wire unordered = nan_a | nan_b;
 
wire eq = !unordered & ((az & bz) || (a==b)); // special test for zero
wire gt1 = {xa,ma} > {xb,mb};
wire lt1 = {xa,ma} < {xb,mb};
 
wire lt = sa ^ sb ? sa & !(az & bz): sa ? gt1 : lt1;
 
always @(unordered or eq or lt or lt1)
begin
o[0] = eq;
o[1] = lt;
o[2] = lt|eq;
o[3] = lt1;
o[4] = unordered;
end
 
// an unorder comparison will signal a nan exception
//assign nanx = op!=`FCOR && op!=`FCUN && unordered;
assign nanx = 1'b0;
 
endmodule
/verilog2/fpConfig.sv
0,0 → 1,35
`timescale 1ns / 1ps
 
// ============================================================================
// __
// \\__/ o\ (C) 2019 Robert Finch, Waterloo
// \ __ / All rights reserved.
// \/_// robfinch<remove>@finitron.ca
// ||
//
// 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/>.
//
// ============================================================================
 
// Uncomment the following to generate code with minimum latency.
// Minimum latency is zero meaning all the clock edges are removed and
// calculations are performed in one long clock cycle. This will result in
// the maximum clock rate being really low.
 
//`define MIN_LATENCY 1'b1
 
// Number of bits extra beyond specified FPWIDth for calculation results
// should be a multiple of four
`define EXTRA_BITS 0
 
/verilog2/fpDecompReg.v
0,0 → 1,106
// ============================================================================
// __
// \\__/ o\ (C) 2006-2019 Robert Finch, Waterloo
// \ __ / All rights reserved.
// \/_// robfinch<remove>@finitron.ca
// ||
//
// fpDecompReg.v
// - decompose floating point value with registered outputs
// - parameterized FPWIDth
//
//
// 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"
 
module fpDecomp(i, sgn, exp, man, fract, xz, mz, vz, inf, xinf, qnan, snan, nan);
parameter FPWID=32;
`include "fpSize.sv"
 
input [MSB:0] i;
 
output sgn;
output [EMSB:0] exp;
output [FMSB:0] man;
output [FMSB+1:0] fract; // mantissa with hidden bit recovered
output xz; // denormalized - exponent is zero
output mz; // mantissa is zero
output vz; // value is zero (both exponent and mantissa are zero)
output inf; // all ones exponent, zero mantissa
output xinf; // all ones exponent
output qnan; // nan
output snan; // signalling nan
output nan;
 
// Decompose input
assign sgn = i[MSB];
assign exp = i[MSB-1:FMSB+1];
assign man = i[FMSB:0];
assign xz = !(|exp); // denormalized - exponent is zero
assign mz = !(|man); // mantissa is zero
assign vz = xz & mz; // value is zero (both exponent and mantissa are zero)
assign inf = &exp & mz; // all ones exponent, zero mantissa
assign xinf = &exp;
assign qnan = &exp & man[FMSB];
assign snan = &exp & !man[FMSB] & !mz;
assign nan = &exp & !mz;
assign fract = {!xz,i[FMSB:0]};
 
endmodule
 
 
module fpDecompReg(clk, ce, i, o, sgn, exp, man, fract, xz, mz, vz, inf, xinf, qnan, snan, nan);
parameter FPWID=32;
`include "fpSize.sv"
 
input clk;
input ce;
input [MSB:0] i;
 
output reg [MSB:0] o;
output reg sgn;
output reg [EMSB:0] exp;
output reg [FMSB:0] man;
output reg [FMSB+1:0] fract; // mantissa with hidden bit recovered
output reg xz; // denormalized - exponent is zero
output reg mz; // mantissa is zero
output reg vz; // value is zero (both exponent and mantissa are zero)
output reg inf; // all ones exponent, zero mantissa
output reg xinf; // all ones exponent
output reg qnan; // nan
output reg snan; // signalling nan
output reg nan;
 
// Decompose input
always @(posedge clk)
if (ce) begin
o <= i;
sgn = i[MSB];
exp = i[MSB-1:FMSB+1];
man = i[FMSB:0];
xz = !(|exp); // denormalized - exponent is zero
mz = !(|man); // mantissa is zero
vz = xz & mz; // value is zero (both exponent and mantissa are zero)
inf = &exp & mz; // all ones exponent, zero mantissa
xinf = &exp;
qnan = &exp & man[FMSB];
snan = &exp & !man[FMSB] & !mz;
nan = &exp & !mz;
fract = {|exp,i[FMSB:0]};
end
 
endmodule
/verilog2/fpDiv.v
0,0 → 1,232
// ============================================================================
// __
// \\__/ o\ (C) 2006-2019 Robert Finch, Waterloo
// \ __ / All rights reserved.
// \/_// robfinch<remove>@finitron.ca
// ||
//
// fpDiv.v
// - floating point divider
// - parameterized FPWIDth
// - IEEE 754 representation
//
//
// 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/>.
//
// Floating Point Multiplier / Divider
//
//Properties:
//+-inf * +-inf = -+inf (this is handled by exOver)
//+-inf * 0 = QNaN
//+-0 / +-0 = QNaN
// ============================================================================
 
`include "fpConfig.sv"
`include "fp_defines.v"
//`define GOLDSCHMIDT 1'b1
 
module fpDiv(rst, clk, clk4x, ce, ld, op, a, b, o, done, sign_exe, overflow, underflow);
 
parameter FPWID = 128;
`include "fpSize.sv"
// FADD is a constant that makes the divider FPWIDth a multiple of four and includes eight extra bits.
localparam FADD = FPWID+`EXTRA_BITS==128 ? 9 :
FPWID+`EXTRA_BITS==96 ? 9 :
FPWID+`EXTRA_BITS==84 ? 9 :
FPWID+`EXTRA_BITS==80 ? 9 :
FPWID+`EXTRA_BITS==64 ? 13 :
FPWID+`EXTRA_BITS==52 ? 9 :
FPWID+`EXTRA_BITS==48 ? 10 :
FPWID+`EXTRA_BITS==44 ? 9 :
FPWID+`EXTRA_BITS==42 ? 11 :
FPWID+`EXTRA_BITS==40 ? 8 :
FPWID+`EXTRA_BITS==32 ? 10 :
FPWID+`EXTRA_BITS==24 ? 9 : 11;
input rst;
input clk;
input clk4x;
input ce;
input ld;
input op;
input [MSB:0] a, b;
output [EX:0] o;
output done;
output sign_exe;
output overflow;
output underflow;
 
// registered outputs
reg sign_exe=0;
reg inf=0;
reg overflow=0;
reg underflow=0;
 
reg so;
reg [EMSB:0] xo;
reg [FX:0] mo;
assign o = {so,xo,mo};
 
// constants
wire [EMSB:0] infXp = {EMSB+1{1'b1}}; // infinite / NaN - all ones
// The following is the value for an exponent of zero, with the offset
// eg. 8'h7f for eight bit exponent, 11'h7ff for eleven bit exponent, etc.
wire [EMSB:0] bias = {1'b0,{EMSB{1'b1}}}; //2^0 exponent
// The following is a template for a quiet nan. (MSB=1)
wire [FMSB:0] qNaN = {1'b1,{FMSB{1'b0}}};
 
// variables
wire [EMSB+2:0] ex1; // sum of exponents
`ifndef GOLDSCHMIDT
wire [(FMSB+FADD)*2-1:0] divo;
`else
wire [(FMSB+5)*2-1:0] divo;
`endif
 
// Operands
wire sa, sb; // sign bit
wire [EMSB:0] xa, xb; // exponent bits
wire [FMSB+1:0] fracta, fractb;
wire a_dn, b_dn; // a/b is denormalized
wire az, bz;
wire aInf, bInf;
wire aNan,bNan;
wire done1;
wire signed [7:0] lzcnt;
 
// -----------------------------------------------------------
// - decode the input operands
// - derive basic information
// - calculate exponent
// - calculate fraction
// -----------------------------------------------------------
 
fpDecomp #(FPWID) u1a (.i(a), .sgn(sa), .exp(xa), .fract(fracta), .xz(a_dn), .vz(az), .inf(aInf), .nan(aNan) );
fpDecomp #(FPWID) u1b (.i(b), .sgn(sb), .exp(xb), .fract(fractb), .xz(b_dn), .vz(bz), .inf(bInf), .nan(bNan) );
 
// Compute the exponent.
// - correct the exponent for denormalized operands
// - adjust the difference by the bias (add 127)
// - also factor in the different decimal position for division
`ifndef GOLDSCHMIDT
assign ex1 = (xa|a_dn) - (xb|b_dn) + bias + FMSB + (FADD-1) - lzcnt - 8'd1;
`else
assign ex1 = (xa|a_dn) - (xb|b_dn) + bias + FMSB - lzcnt + 8'd4;
`endif
 
// check for exponent underflow/overflow
wire under = ex1[EMSB+2]; // MSB set = negative exponent
wire over = (&ex1[EMSB:0] | ex1[EMSB+1]) & !ex1[EMSB+2];
 
// Perform divide
// Divider FPWIDth must be a multiple of four
`ifndef GOLDSCHMIDT
fpdivr16 #(FMSB+FADD) u2 (.clk(clk), .ld(ld), .a({3'b0,fracta,8'b0}), .b({3'b0,fractb,8'b0}), .q(divo), .r(), .done(done1), .lzcnt(lzcnt));
//fpdivr2 #(FMSB+FADD) u2 (.clk4x(clk4x), .ld(ld), .a({3'b0,fracta,8'b0}), .b({3'b0,fractb,8'b0}), .q(divo), .r(), .done(done1), .lzcnt(lzcnt));
wire [(FMSB+FADD)*2-1:0] divo1 = divo[(FMSB+FADD)*2-1:0] << (lzcnt-2);
`else
DivGoldschmidt #(.FPWID(FMSB+6),.WHOLE(1),.POINTS(FMSB+5))
u2 (.rst(rst), .clk(clk), .ld(ld), .a({fracta,4'b0}), .b({fractb,4'b0}), .q(divo), .done(done1), .lzcnt(lzcnt));
wire [(FMSB+6)*2+1:0] divo1 =
lzcnt > 8'd5 ? divo << (lzcnt-8'd6) :
divo >> (8'd6-lzcnt);
;
`endif
delay1 #(1) u3 (.clk(clk), .ce(ce), .i(done1), .o(done));
 
 
// determine when a NaN is output
wire qNaNOut = (az&bz)|(aInf&bInf);
 
always @(posedge clk)
// Simulation likes to see these values reset to zero on reset. Otherwise the
// values propagate in sim as X's.
if (rst) begin
xo <= 1'd0;
mo <= 1'd0;
so <= 1'd0;
sign_exe <= 1'd0;
overflow <= 1'd0;
underflow <= 1'd0;
end
else if (ce) begin
if (done1) begin
casez({qNaNOut|aNan|bNan,bInf,bz,over,under})
5'b1????: xo <= infXp; // NaN exponent value
5'b01???: xo <= 1'd0; // divide by inf
5'b001??: xo <= infXp; // divide by zero
5'b0001?: xo <= infXp; // overflow
5'b00001: xo <= 1'd0; // underflow
default: xo <= ex1; // normal or underflow: passthru neg. exp. for normalization
endcase
 
casez({aNan,bNan,qNaNOut,bInf,bz,over,aInf&bInf,az&bz})
8'b1???????: mo <= {1'b1,1'b1,a[FMSB-1:0],{FMSB+1{1'b0}}};
8'b01??????: mo <= {1'b1,1'b1,b[FMSB-1:0],{FMSB+1{1'b0}}};
8'b001?????: mo <= {1'b1,qNaN[FMSB:0]|{aInf,1'b0}|{az,bz},{FMSB+1{1'b0}}};
8'b0001????: mo <= 1'd0; // div by inf
8'b00001???: mo <= 1'd0; // div by zero
8'b000001??: mo <= 1'd0; // Inf exponent
8'b0000001?: mo <= {1'b1,qNaN|`QINFDIV,{FMSB+1{1'b0}}}; // infinity / infinity
8'b00000001: mo <= {1'b1,qNaN|`QZEROZERO,{FMSB+1{1'b0}}}; // zero / zero
`ifndef GOLDSCHMIDT
default: mo <= divo1[(FMSB+FADD)*2-1:(FADD-2)*2-2]; // plain div
`else
default: mo <= divo1[(FMSB+6)*2+1:2]; // plain div
`endif
endcase
 
so <= sa ^ sb;
sign_exe <= sa & sb;
overflow <= over;
underflow <= under;
end
end
 
endmodule
 
module fpDivnr(rst, clk, clk4x, ce, ld, op, a, b, o, rm, done, sign_exe, inf, overflow, underflow);
parameter FPWID=32;
`include "fpSize.sv"
 
input rst;
input clk;
input clk4x;
input ce;
input ld;
input op;
input [MSB:0] a, b;
output [MSB:0] o;
input [2:0] rm;
output sign_exe;
output done;
output inf;
output overflow;
output underflow;
 
wire [EX:0] o1;
wire sign_exe1, inf1, overflow1, underflow1;
wire [MSB+3:0] fpn0;
wire done1;
 
fpDiv #(FPWID) u1 (rst, clk, clk4x, ce, ld, op, a, b, o1, done1, sign_exe1, overflow1, underflow1);
fpNormalize #(FPWID) u2(.clk(clk), .ce(ce), .under(underflow1), .i(o1), .o(fpn0) );
fpRound #(FPWID) u3(.clk(clk), .ce(ce), .rm(rm), .i(fpn0), .o(o) );
delay2 #(1) u4(.clk(clk), .ce(ce), .i(sign_exe1), .o(sign_exe));
delay2 #(1) u5(.clk(clk), .ce(ce), .i(inf1), .o(inf));
delay2 #(1) u6(.clk(clk), .ce(ce), .i(overflow1), .o(overflow));
delay2 #(1) u7(.clk(clk), .ce(ce), .i(underflow1), .o(underflow));
delay2 #(1) u8(.clk(clk), .ce(ce), .i(done1), .o(done));
endmodule
 
/verilog2/fpFMA.v
0,0 → 1,808
// ============================================================================
// __
// \\__/ o\ (C) 2019 Robert Finch, Waterloo
// \ __ / All rights reserved.
// \/_// robfinch<remove>@finitron.ca
// ||
//
// fpFMA.v
// - floating point fused multiplier + adder
// - can issue every clock cycle
// - parameterized FPWIDth
// - IEEE 754 representation
//
//
// 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"
 
module fpFMA (clk, ce, op, rm, a, b, c, o, under, over, inf, zero);
parameter FPWID = 32;
`include "fpSize.sv"
 
input clk;
input ce;
input op; // operation 0 = add, 1 = subtract
input [2:0] rm;
input [MSB:0] a, b, c;
output [EX:0] o;
output under;
output over;
output inf;
output zero;
 
// constants
wire [EMSB:0] infXp = {EMSB+1{1'b1}}; // infinite / NaN - all ones
// The following is the value for an exponent of zero, with the offset
// eg. 8'h7f for eight bit exponent, 11'h7ff for eleven bit exponent, etc.
wire [EMSB:0] bias = {1'b0,{EMSB{1'b1}}}; //2^0 exponent
// The following is a template for a quiet nan. (MSB=1)
wire [FMSB:0] qNaN = {1'b1,{FMSB{1'b0}}};
 
// -----------------------------------------------------------
// Clock #1
// - decode the input operands
// - derive basic information
// -----------------------------------------------------------
 
wire sa1, sb1, sc1; // sign bit
wire [EMSB:0] xa1, xb1, xc1; // exponent bits
wire [FMSB+1:0] fracta1, fractb1, fractc1; // includes unhidden bit
wire a_dn1, b_dn1, c_dn1; // a/b is denormalized
wire aNan1, bNan1, cNan1;
wire az1, bz1, cz1;
wire aInf1, bInf1, cInf1;
reg op1;
 
fpDecompReg #(FPWID) u1a (.clk(clk), .ce(ce), .i(a), .sgn(sa1), .exp(xa1), .fract(fracta1), .xz(a_dn1), .vz(az1), .inf(aInf1), .nan(aNan1) );
fpDecompReg #(FPWID) u1b (.clk(clk), .ce(ce), .i(b), .sgn(sb1), .exp(xb1), .fract(fractb1), .xz(b_dn1), .vz(bz1), .inf(bInf1), .nan(bNan1) );
fpDecompReg #(FPWID) u1c (.clk(clk), .ce(ce), .i(c), .sgn(sc1), .exp(xc1), .fract(fractc1), .xz(c_dn1), .vz(cz1), .inf(cInf1), .nan(cNan1) );
 
always @(posedge clk)
if (ce) op1 <= op;
 
// -----------------------------------------------------------
// Clock #2
// Compute the sum of the exponents.
// correct the exponent for denormalized operands
// adjust the sum by the exponent offset (subtract 127)
// mul: ex1 = xa + xb, result should always be < 1ffh
// Form partial products (clocks 2 to 5)
// -----------------------------------------------------------
 
reg abz2;
reg [EMSB+2:0] ex2;
reg [EMSB:0] xc2;
reg realOp2;
reg xcInf2;
 
always @(posedge clk)
if (ce) abz2 <= az1|bz1;
always @(posedge clk)
if (ce) ex2 <= (xa1|a_dn1) + (xb1|b_dn1) - bias;
always @(posedge clk)
if (ce) xc2 <= (xc1|c_dn1);
always @(posedge clk)
if (ce) xcInf2 = &xc1;
 
// Figure out which operation is really needed an add or
// subtract ?
// If the signs are the same, use the orignal op,
// otherwise flip the operation
// a + b = add,+
// a + -b = sub, so of larger
// -a + b = sub, so of larger
// -a + -b = add,-
// a - b = sub, so of larger
// a - -b = add,+
// -a - b = add,-
// -a - -b = sub, so of larger
always @(posedge clk)
if (ce) realOp2 <= op1 ^ (sa1 ^ sb1) ^ sc1;
 
 
reg [FX:0] fract5;
generate
if (FPWID+`EXTRA_BITS==84) begin
reg [33:0] p00,p01,p02,p03;
reg [33:0] p10,p11,p12,p13;
reg [33:0] p20,p21,p22,p23;
reg [33:0] p30,p31,p32,p33;
reg [135:0] fract3a;
reg [135:0] fract3b;
reg [135:0] fract3c;
reg [135:0] fract3d;
reg [135:0] fract4a;
reg [135:0] fract4b;
 
always @(posedge clk)
if (ce) begin
p00 <= fracta1[16: 0] * fractb1[16: 0];
p01 <= fracta1[33:17] * fractb1[16: 0];
p02 <= fracta1[50:34] * fractb1[16: 0];
p03 <= fracta1[67:51] * fractb1[16: 0];
p10 <= fracta1[16: 0] * fractb1[33:17];
p11 <= fracta1[33:17] * fractb1[33:17];
p12 <= fracta1[50:34] * fractb1[33:17];
p13 <= fracta1[67:51] * fractb1[33:17];
 
p20 <= fracta1[16: 0] * fractb1[50:34];
p21 <= fracta1[33:17] * fractb1[50:34];
p22 <= fracta1[50:34] * fractb1[50:34];
p23 <= fracta1[67:51] * fractb1[50:34];
 
p30 <= fracta1[15: 0] * fractb1[67:51];
p31 <= fracta1[31:16] * fractb1[67:51];
p32 <= fracta1[47:32] * fractb1[67:51];
p33 <= fracta1[63:48] * fractb1[67:51];
end
always @(posedge clk)
if (ce) begin
fract3a <= {p33,p31,p20,p00};
fract3b <= {p32,p12,p10,17'b0} + {p23,p03,p01,17'b0};
fract3c <= {p22,p11,34'b0} + {p13,p02,34'b0};
fract3d <= {p12,51'b0} + {p03,51'b0};
end
always @(posedge clk)
if (ce) begin
fract4a <= fract3a + fract3b;
fract4b <= fract3c + fract3d;
end
always @(posedge clk)
if (ce) begin
fract5 <= fract4a + fract4b;
end
end
else if (FPWID+`EXTRA_BITS==80) begin
reg [31:0] p00,p01,p02,p03;
reg [31:0] p10,p11,p12,p13;
reg [31:0] p20,p21,p22,p23;
reg [31:0] p30,p31,p32,p33;
reg [127:0] fract3a;
reg [127:0] fract3b;
reg [127:0] fract3c;
reg [127:0] fract3d;
reg [127:0] fract4a;
reg [127:0] fract4b;
 
always @(posedge clk)
if (ce) begin
p00 <= fracta1[15: 0] * fractb1[15: 0];
p01 <= fracta1[31:16] * fractb1[15: 0];
p02 <= fracta1[47:32] * fractb1[15: 0];
p03 <= fracta1[63:48] * fractb1[15: 0];
p10 <= fracta1[15: 0] * fractb1[31:16];
p11 <= fracta1[31:16] * fractb1[31:16];
p12 <= fracta1[47:32] * fractb1[31:16];
p13 <= fracta1[63:48] * fractb1[31:16];
 
p20 <= fracta1[15: 0] * fractb1[47:32];
p21 <= fracta1[31:16] * fractb1[47:32];
p22 <= fracta1[47:32] * fractb1[47:32];
p23 <= fracta1[63:48] * fractb1[47:32];
 
p30 <= fracta1[15: 0] * fractb1[63:48];
p31 <= fracta1[31:16] * fractb1[63:48];
p32 <= fracta1[47:32] * fractb1[63:48];
p33 <= fracta1[63:48] * fractb1[63:48];
end
always @(posedge clk)
if (ce) begin
fract3a <= {p33,p31,p20,p00};
fract3b <= {p32,p12,p10,16'b0} + {p23,p03,p01,16'b0};
fract3c <= {p22,p11,32'b0} + {p13,p02,32'b0};
fract3d <= {p12,48'b0} + {p03,48'b0};
end
always @(posedge clk)
if (ce) begin
fract4a <= fract3a + fract3b;
fract4b <= fract3c + fract3d;
end
always @(posedge clk)
if (ce) begin
fract5 <= fract4a + fract4b;
end
end
else if (FPWID+`EXTRA_BITS==64) begin
reg [35:0] p00,p01,p02;
reg [35:0] p10,p11,p12;
reg [35:0] p20,p21,p22;
reg [71:0] fract3a;
reg [89:0] fract3b;
reg [107:0] fract3c;
reg [108:0] fract4a;
reg [108:0] fract4b;
 
always @(posedge clk)
if (ce) begin
p00 <= fracta1[17: 0] * fractb1[17: 0];
p01 <= fracta1[35:18] * fractb1[17: 0];
p02 <= fracta1[52:36] * fractb1[17: 0];
p10 <= fracta1[17: 0] * fractb1[35:18];
p11 <= fracta1[35:18] * fractb1[35:18];
p12 <= fracta1[52:36] * fractb1[35:18];
p20 <= fracta1[17: 0] * fractb1[52:36];
p21 <= fracta1[35:18] * fractb1[52:36];
p22 <= fracta1[52:36] * fractb1[52:36];
end
always @(posedge clk)
if (ce) begin
fract3a <= {p02,p00};
fract3b <= {p21,p10,18'b0} + {p12,p01,18'b0};
fract3c <= {p22,p20,36'b0} + {p11,36'b0};
end
always @(posedge clk)
if (ce) begin
fract4a <= fract3a + fract3b;
fract4b <= fract3c;
end
always @(posedge clk)
if (ce) begin
fract5 <= fract4a + fract4b;
end
end
else if (FPWID+`EXTRA_BITS==40) begin
reg [27:0] p00,p01,p02;
reg [27:0] p10,p11,p12;
reg [27:0] p20,p21,p22;
reg [79:0] fract3a;
reg [79:0] fract3b;
reg [79:0] fract3c;
reg [79:0] fract4a;
reg [79:0] fract4b;
always @(posedge clk)
if (ce) begin
p00 <= fracta1[13: 0] * fractb1[13: 0];
p01 <= fracta1[27:14] * fractb1[13: 0];
p02 <= fracta1[39:28] * fractb1[13: 0];
p10 <= fracta1[13: 0] * fractb1[27:14];
p11 <= fracta1[27:14] * fractb1[27:14];
p12 <= fracta1[39:28] * fractb1[27:14];
p20 <= fracta1[13: 0] * fractb1[39:28];
p21 <= fracta1[27:14] * fractb1[39:28];
p22 <= fracta1[39:28] * fractb1[39:28];
end
always @(posedge clk)
if (ce) begin
fract3a <= {p02,p00};
fract3b <= {p21,p10,18'b0} + {p12,p01,18'b0};
fract3c <= {p22,p20,36'b0} + {p11,36'b0};
end
always @(posedge clk)
if (ce) begin
fract4a <= fract3a + fract3b;
fract4b <= fract3c;
end
always @(posedge clk)
if (ce) begin
fract5 <= fract4a + fract4b;
end
end
else if (FPWID+`EXTRA_BITS==32) begin
reg [23:0] p00,p01,p02;
reg [23:0] p10,p11,p12;
reg [23:0] p20,p21,p22;
reg [63:0] fract3a;
reg [63:0] fract3b;
reg [63:0] fract4;
 
always @(posedge clk)
if (ce) begin
p00 <= fracta1[11: 0] * fractb1[11: 0];
p01 <= fracta1[23:12] * fractb1[11: 0];
p10 <= fracta1[11: 0] * fractb1[23:12];
p11 <= fracta1[23:12] * fractb1[23:12];
end
always @(posedge clk)
if (ce) begin
fract3a <= {p11,p00};
fract3b <= {p01,12'b0} + {p10,12'b0};
end
always @(posedge clk)
if (ce) begin
fract4 <= fract3a + fract3b;
end
always @(posedge clk)
if (ce) begin
fract5 <= fract4;
end
end
else begin
reg [FX:0] p00;
reg [FX:0] fract3;
reg [FX:0] fract4;
always @(posedge clk)
if (ce) begin
p00 <= fracta1 * fractb1;
end
always @(posedge clk)
if (ce)
fract3 <= p00;
always @(posedge clk)
if (ce)
fract4 <= fract3;
always @(posedge clk)
if (ce)
fract5 <= fract4;
end
endgenerate
 
// -----------------------------------------------------------
// Clock #3
// Select zero exponent
// -----------------------------------------------------------
 
reg [EMSB+2:0] ex3;
reg [EMSB:0] xc3;
always @(posedge clk)
if (ce) ex3 <= abz2 ? 1'd0 : ex2;
always @(posedge clk)
if (ce) xc3 <= xc2;
 
// -----------------------------------------------------------
// Clock #4
// Generate partial products.
// -----------------------------------------------------------
 
reg [EMSB+2:0] ex4;
reg [EMSB:0] xc4;
 
always @(posedge clk)
if (ce) ex4 <= ex3;
always @(posedge clk)
if (ce) xc4 <= xc3;
 
// -----------------------------------------------------------
// Clock #5
// Sum partial products (above)
// compute multiplier overflow and underflow
// -----------------------------------------------------------
 
// Status
reg under5;
reg over5;
reg [EMSB+2:0] ex5;
reg [EMSB:0] xc5;
wire aInf5, bInf5;
wire aNan5, bNan5;
wire qNaNOut5;
 
always @(posedge clk)
if (ce) under5 <= ex4[EMSB+2];
always @(posedge clk)
if (ce) over5 <= (&ex4[EMSB:0] | ex4[EMSB+1]) & !ex4[EMSB+2];
always @(posedge clk)
if (ce) ex5 <= ex4;
always @(posedge clk)
if (ce) xc5 <= xc4;
 
delay4 u2a (.clk(clk), .ce(ce), .i(aInf1), .o(aInf5) );
delay4 u2b (.clk(clk), .ce(ce), .i(bInf1), .o(bInf5) );
 
// determine when a NaN is output
wire [MSB:0] a5,b5;
delay4 u5 (.clk(clk), .ce(ce), .i((aInf1&bz1)|(bInf1&az1)), .o(qNaNOut5) );
delay4 u14 (.clk(clk), .ce(ce), .i(aNan1), .o(aNan5) );
delay4 u15 (.clk(clk), .ce(ce), .i(bNan1), .o(bNan5) );
delay5 #(MSB+1) u16 (.clk(clk), .ce(ce), .i(a), .o(a5) );
delay5 #(MSB+1) u17 (.clk(clk), .ce(ce), .i(b), .o(b5) );
 
// -----------------------------------------------------------
// Clock #6
// - figure multiplier mantissa output
// - figure multiplier exponent output
// - correct xponent and mantissa for exceptional conditions
// -----------------------------------------------------------
 
reg [FX:0] mo6;
reg [EMSB+2:0] ex6;
reg [EMSB:0] xc6;
wire [FMSB+1:0] fractc6;
vtdl #(FMSB+2) u61 (.clk(clk), .ce(ce), .a(4'd4), .d(fractc1), .q(fractc6) );
delay1 u62 (.clk(clk), .ce(ce), .i(under5), .o(under6));
 
always @(posedge clk)
if (ce) xc6 <= xc5;
 
always @(posedge clk)
if (ce)
casez({aNan5,bNan5,qNaNOut5,aInf5,bInf5,over5})
6'b1?????: mo6 <= {1'b1,1'b1,a5[FMSB-1:0],{FMSB+1{1'b0}}};
6'b01????: mo6 <= {1'b1,1'b1,b5[FMSB-1:0],{FMSB+1{1'b0}}};
6'b001???: mo6 <= {1'b1,qNaN|3'd4,{FMSB+1{1'b0}}}; // multiply inf * zero
6'b0001??: mo6 <= 0; // mul inf's
6'b00001?: mo6 <= 0; // mul inf's
6'b000001: mo6 <= 0; // mul overflow
default: mo6 <= fract5;
endcase
 
always @(posedge clk)
if (ce)
casez({qNaNOut5|aNan5|bNan5,aInf5,bInf5,over5,under5})
5'b1????: ex6 <= infXp; // qNaN - infinity * zero
5'b01???: ex6 <= infXp; // 'a' infinite
5'b001??: ex6 <= infXp; // 'b' infinite
5'b0001?: ex6 <= infXp; // result overflow
5'b00001: ex6 <= ex5; //0; // underflow
default: ex6 <= ex5; // situation normal
endcase
 
// -----------------------------------------------------------
// Clock #7
// - prep for addition, determine greater operand
// -----------------------------------------------------------
reg ex_gt_xc7;
reg xeq7;
reg ma_gt_mc7;
reg meq7;
wire az7, bz7, cz7;
wire realOp7;
 
// which has greater magnitude ? Used for sign calc
always @(posedge clk)
if (ce) ex_gt_xc7 <= $signed(ex6) > $signed({2'b0,xc6});
always @(posedge clk)
if (ce) xeq7 <= (ex6=={2'b0,xc6});
always @(posedge clk)
if (ce) ma_gt_mc7 <= mo6 > {fractc6,{FMSB+1{1'b0}}};
always @(posedge clk)
if (ce) meq7 <= mo6 == {fractc6,{FMSB+1{1'b0}}};
vtdl #(1) u71 (.clk(clk), .ce(ce), .a(4'd5), .d(az1), .q(az7));
vtdl #(1) u72 (.clk(clk), .ce(ce), .a(4'd5), .d(bz1), .q(bz7));
vtdl #(1) u73 (.clk(clk), .ce(ce), .a(4'd5), .d(cz1), .q(cz7));
vtdl #(1) u74 (.clk(clk), .ce(ce), .a(4'd4), .d(realOp2), .q(realOp7));
 
// -----------------------------------------------------------
// Clock #8
// - prep for addition, determine greater operand
// - determine if result will be zero
// -----------------------------------------------------------
 
reg a_gt_b8;
reg resZero8;
reg ex_gt_xc8;
wire [EMSB+2:0] ex8;
wire [EMSB:0] xc8;
wire xcInf8;
wire [2:0] rm8;
wire op8;
wire sa8, sc8;
 
delay2 #(EMSB+3) u81 (.clk(clk), .ce(ce), .i(ex6), .o(ex8));
delay2 #(EMSB+1) u82 (.clk(clk), .ce(ce), .i(xc6), .o(xc8));
vtdl #(1) u83 (.clk(clk), .ce(ce), .a(4'd5), .d(xcInf2), .q(xcInf8));
vtdl #(3) u84 (.clk(clk), .ce(ce), .a(4'd7), .d(rm), .q(rm8));
vtdl #(1) u85 (.clk(clk), .ce(ce), .a(4'd6), .d(op1), .q(op8));
vtdl #(1) u86 (.clk(clk), .ce(ce), .a(4'd6), .d(sa1 ^ sb1), .q(sa8));
vtdl #(1) u87 (.clk(clk), .ce(ce), .a(4'd6), .d(sc1), .q(sc8));
 
always @(posedge clk)
if (ce) ex_gt_xc8 <= ex_gt_xc7;
always @(posedge clk)
if (ce)
a_gt_b8 <= ex_gt_xc7 || (xeq7 && ma_gt_mc7);
 
// Find out if the result will be zero.
always @(posedge clk)
if (ce)
resZero8 <= (realOp7 & xeq7 & meq7) || // subtract, same magnitude
((az7 | bz7) & cz7); // a or b zero and c zero
 
// -----------------------------------------------------------
// CLock #9
// Compute output exponent and sign
//
// The output exponent is the larger of the two exponents,
// unless a subtract operation is in progress and the two
// numbers are equal, in which case the exponent should be
// zero.
// -----------------------------------------------------------
 
reg so9;
reg [EMSB+2:0] ex9;
reg [EMSB+2:0] ex9a;
reg ex_gt_xc9;
reg [EMSB:0] xc9;
reg a_gt_c9;
wire [FX:0] mo9;
wire [FMSB+1:0] fractc9;
wire under9;
wire xeq9;
 
always @(posedge clk)
if (ce) ex_gt_xc9 <= ex_gt_xc8;
always @(posedge clk)
if (ce) a_gt_c9 <= a_gt_b8;
always @(posedge clk)
if (ce) xc9 <= xc8;
always @(posedge clk)
if (ce) ex9a <= ex8;
 
delay3 #(FX+1) u93 (.clk(clk), .ce(ce), .i(mo6), .o(mo9));
delay3 #(FMSB+2) u94 (.clk(clk), .ce(ce), .i(fractc6), .o(fractc9));
delay3 u95 (.clk(clk), .ce(ce), .i(under6), .o(under9));
delay2 u96 (.clk(clk), .ce(ce), .i(xeq7), .o(xeq9));
 
always @(posedge clk)
if (ce) ex9 <= resZero8 ? 1'd0 : ex_gt_xc8 ? ex8 : {2'b0,xc8};
 
// Compute output sign
always @(posedge clk)
if (ce)
case ({resZero8,sa8,op8,sc8}) // synopsys full_case parallel_case
4'b0000: so9 <= 0; // + + + = +
4'b0001: so9 <= !a_gt_b8; // + + - = sign of larger
4'b0010: so9 <= !a_gt_b8; // + - + = sign of larger
4'b0011: so9 <= 0; // + - - = +
4'b0100: so9 <= a_gt_b8; // - + + = sign of larger
4'b0101: so9 <= 1; // - + - = -
4'b0110: so9 <= 1; // - - + = -
4'b0111: so9 <= a_gt_b8; // - - - = sign of larger
4'b1000: so9 <= 0; // A + B, sign = +
4'b1001: so9 <= rm8==3; // A + -B, sign = + unless rounding down
4'b1010: so9 <= rm8==3; // A - B, sign = + unless rounding down
4'b1011: so9 <= 0; // +A - -B, sign = +
4'b1100: so9 <= rm8==3; // -A + B, sign = + unless rounding down
4'b1101: so9 <= 1; // -A + -B, sign = -
4'b1110: so9 <= 1; // -A - +B, sign = -
4'b1111: so9 <= rm8==3; // -A - -B, sign = + unless rounding down
endcase
 
// -----------------------------------------------------------
// Clock #10
// Compute the difference in exponents, provides shift amount
// Note that ex9a will be negative for an underflow condition
// so it's added rather than subtracted from xc9 as -(-num)
// is the same as an add. The underflow is tracked rather than
// using extra bits in the exponent.
// -----------------------------------------------------------
reg [EMSB+2:0] xdiff10;
reg [FX:0] mfs;
reg ops10;
 
// If the multiplier exponent was negative (underflowed) then
// the mantissa needs to be shifted right even more (until
// the exponent is zero. The total shift would be xc9-0-
// amount underflows which is xc9 + -ex9a.
 
always @(posedge clk)
if (ce) xdiff10 <= ex_gt_xc9 ? ex9a - xc9
: ex9a[EMSB+2] ? xc9 + (~ex9a+2'd1)
: xc9 - ex9a;
 
// Determine which fraction to denormalize (the one with the
// smaller exponent is denormalized). If the exponents are equal
// denormalize the smaller fraction.
always @(posedge clk)
if (ce) mfs <=
xeq9 ? (a_gt_c9 ? {4'b0,fractc9,{FMSB+1{1'b0}}} : mo9)
: ex_gt_xc9 ? {4'b0,fractc9,{FMSB+1{1'b0}}} : mo9;
 
always @(posedge clk)
if (ce) ops10 <= xeq9 ? (a_gt_c9 ? 1'b1 : 1'b0)
: (ex_gt_xc9 ? 1'b1 : 1'b0);
 
// -----------------------------------------------------------
// Clock #11
// Limit the size of the shifter to only bits needed.
// -----------------------------------------------------------
reg [7:0] xdif11;
 
always @(posedge clk)
if (ce) xdif11 <= xdiff10 > FX+3 ? FX+3 : xdiff10;
 
// -----------------------------------------------------------
// Clock #12
// Determine the sticky bit
// -----------------------------------------------------------
 
wire sticky, sticky12;
wire [FX:0] mfs12;
wire [7:0] xdif12;
 
generate
begin
if (FPWID+`EXTRA_BITS==128)
redor128 u121 (.a(xdif11), .b({mfs,2'b0}), .o(sticky) );
else if (FPWID+`EXTRA_BITS==96)
redor96 u121 (.a(xdif11), .b({mfs,2'b0}), .o(sticky) );
else if (FPWID+`EXTRA_BITS==84)
redor84 u121 (.a(xdif11), .b({mfs,2'b0}), .o(sticky) );
else if (FPWID+`EXTRA_BITS==80)
redor80 u121 (.a(xdif11), .b({mfs,2'b0}), .o(sticky) );
else if (FPWID+`EXTRA_BITS==64)
redor64 u121 (.a(xdif11), .b({mfs,2'b0}), .o(sticky) );
else if (FPWID+`EXTRA_BITS==32)
redor32 u121 (.a(xdif11), .b({mfs,2'b0}), .o(sticky) );
end
endgenerate
 
// register inputs to shifter and shift
delay1 #(1) u122(.clk(clk), .ce(ce), .i(sticky), .o(sticky12) );
delay1 #(8) u123(.clk(clk), .ce(ce), .i(xdif11), .o(xdif12) );
delay2 #(FX+1) u124(.clk(clk), .ce(ce), .i(mfs), .o(mfs12) );
 
// -----------------------------------------------------------
// Clock #13
// - denormalize operand (shift right)
// -----------------------------------------------------------
reg [FX+2:0] mfs13;
wire [FX:0] mo13;
wire ex_gt_xc13;
wire [FMSB+1:0] fractc13;
wire ops13;
 
delay4 #(FX+1) u131 (.clk(clk), .ce(ce), .i(mo9), .o(mo13));
delay4 u132 (.clk(clk), .ce(ce), .i(ex_gt_xc9), .o(ex_gt_xc13));
vtdl #(FMSB+2) u133 (.clk(clk), .ce(ce), .a(4'd3), .d(fractc9), .q(fractc13));
delay3 u134 (.clk(clk), .ce(ce), .i(ops10), .o(ops13));
 
always @(posedge clk)
if (ce) mfs13 <= ({mfs12,2'b0} >> xdif12)|sticky12;
 
// -----------------------------------------------------------
// Clock #14
// Sort operands
// -----------------------------------------------------------
reg [FX+2:0] oa, ob;
wire a_gt_b14;
 
vtdl #(1) u141 (.clk(clk), .ce(ce), .a(4'd5), .d(a_gt_b8), .q(a_gt_b14));
 
always @(posedge clk)
if (ce) oa <= ops13 ? {mo13,2'b00} : mfs13;
always @(posedge clk)
if (ce) ob <= ops13 ? mfs13 : {fractc13,{FMSB+1{1'b0}},2'b00};
 
// -----------------------------------------------------------
// Clock #15
// - Sort operands
// -----------------------------------------------------------
reg [FX+2:0] oaa, obb;
wire realOp15;
wire [EMSB:0] ex15;
wire [EMSB:0] ex9c = ex9[EMSB+1] ? infXp : ex9[EMSB:0];
wire overflow15;
vtdl #(1) u151 (.clk(clk), .ce(ce), .a(4'd7), .d(realOp7), .q(realOp15));
vtdl #(EMSB+1) u152 (.clk(clk), .ce(ce), .a(4'd5), .d(ex9c), .q(ex15));
vtdl #(EMSB+1) u153 (.clk(clk), .ce(ce), .a(4'd5), .d(ex9[EMSB+1]| &ex9[EMSB:0]), .q(overflow15));
 
always @(posedge clk)
if (ce) oaa <= a_gt_b14 ? oa : ob;
always @(posedge clk)
if (ce) obb <= a_gt_b14 ? ob : oa;
 
// -----------------------------------------------------------
// Clock #16
// - perform add/subtract
// - addition can generate an extra bit, subtract can't go negative
// -----------------------------------------------------------
reg [FX+3:0] mab;
wire [FX:0] mo16;
wire [FMSB+1:0] fractc16;
wire Nan16;
wire cNan16;
wire aInf16, cInf16;
wire op16;
wire exinf16;
 
vtdl #(1) u161 (.clk(clk), .ce(ce), .a(4'd10), .d(qNaNOut5|aNan5|bNan5), .q(Nan16));
vtdl #(1) u162 (.clk(clk), .ce(ce), .a(4'd14), .d(cNan1), .q(cNan16));
vtdl #(1) u163 (.clk(clk), .ce(ce), .a(4'd9), .d(&ex6), .q(aInf16));
vtdl #(1) u164 (.clk(clk), .ce(ce), .a(4'd14), .d(cInf1), .q(cInf16));
vtdl #(1) u165 (.clk(clk), .ce(ce), .a(4'd14), .d(op1), .q(op16));
delay3 #(FX+1) u166 (.clk(clk), .ce(ce), .i(mo13), .o(mo16));
vtdl #(FMSB+2) u167 (.clk(clk), .ce(ce), .a(4'd6), .d(fractc9), .q(fractc16));
delay1 u169 (.clk(clk), .ce(ce), .i(&ex15), .o(exinf16));
 
always @(posedge clk)
if (ce) mab <= realOp15 ? oaa - obb : oaa + obb;
 
// -----------------------------------------------------------
// Clock #17
// - adjust for Nans
// -----------------------------------------------------------
wire [EMSB:0] ex17;
reg [FX:0] mo17;
wire so17;
wire exinf17;
wire overflow17;
 
vtdl #(1) u171 (.clk(clk), .ce(ce), .a(4'd7), .d(so9), .q(so17));
delay2 #(EMSB+1) u172 (.clk(clk), .ce(ce), .i(ex15), .o(ex17));
delay1 #(1) u173 (.clk(clk), .ce(ce), .i(exinf16), .o(exinf17));
delay2 u174 (.clk(clk), .ce(ce), .i(overflow15), .o(overflow17));
 
always @(posedge clk)
casez({aInf16&cInf16,Nan16,cNan16,exinf16})
4'b1???: mo17 <= {1'b0,op16,{FMSB-1{1'b0}},op16,{FMSB{1'b0}}}; // inf +/- inf - generate QNaN on subtract, inf on add
4'b01??: mo17 <= {1'b0,mo16};
4'b001?: mo17 <= {1'b1,1'b1,fractc16[FMSB-1:0],{FMSB+1{1'b0}}};
4'b0001: mo17 <= 1'd0;
default: mo17 <= mab[FX+3:2]; // mab has two extra lead bits and two trailing bits
endcase
 
assign o = {so17,ex17,mo17};
assign zero = {ex17,mo17}==1'd0;
assign inf = exinf17;
assign under = ex17==1'd0;
assign over = overflow17;
 
endmodule
 
 
// Multiplier with normalization and rounding.
 
module fpFMAnr(clk, ce, op, rm, a, b, c, o, inf, zero, overflow, underflow, inexact);
parameter FPWID=64;
`include "fpSize.sv"
 
input clk;
input ce;
input op;
input [2:0] rm;
input [MSB:0] a, b, c;
output [MSB:0] o;
output zero;
output inf;
output overflow;
output underflow;
output inexact;
 
wire [EX:0] fma_o;
wire fma_underflow;
wire fma_overflow;
wire norm_underflow;
wire norm_inexact;
wire sign_exe1, inf1, overflow1, underflow1;
wire [MSB+3:0] fpn0;
 
fpFMA #(FPWID) u1
(
.clk(clk),
.ce(ce),
.op(op),
.rm(rm),
.a(a),
.b(b),
.c(c),
.o(fma_o),
.under(fma_underflow),
.over(fma_overflow),
.zero(),
.inf()
);
fpNormalize #(FPWID) u2
(
.clk(clk),
.ce(ce),
.i(fma_o),
.o(fpn0),
.under_i(fma_underflow),
.under_o(norm_underflow),
.inexact_o(norm_inexact)
);
fpRound #(FPWID) u3(.clk(clk), .ce(ce), .rm(rm), .i(fpn0), .o(o) );
fpDecomp #(FPWID) u4(.i(o), .xz(), .vz(zero), .inf(inf));
vtdl u5 (.clk(clk), .ce(ce), .a(4'd11), .d(fma_underflow), .q(underflow));
vtdl u6 (.clk(clk), .ce(ce), .a(4'd11), .d(fma_overflow), .q(overflow));
delay3 #(1) u7 (.clk(clk), .ce(ce), .i(norm_inexact), .o(inexact));
assign overflow = inf;
 
endmodule
 
/verilog2/fpMul.v
0,0 → 1,277
// ============================================================================
// __
// \\__/ o\ (C) 2006-2019 Robert Finch, Waterloo
// \ __ / All rights reserved.
// \/_// robfinch<remove>@finitron.ca
// ||
//
// fpMul.v
// - floating point multiplier
// - two cycle latency
// - can issue every clock cycle
// - parameterized FPWIDth
// - IEEE 754 representation
//
//
// 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/>.
//
// Floating Point Multiplier / Divider
//
// This multiplier/divider handles denormalized numbers.
// The output format is of an internal expanded representation
// in preparation to be fed into a normalization unit, then
// rounding. Basically, it's the same as the regular format
// except the mantissa is doubled in size, the leading two
// bits of which are assumed to be whole bits.
//
//
// Floating Point Multiplier
//
// Properties:
// +-inf * +-inf = -+inf (this is handled by exOver)
// +-inf * 0 = QNaN
//
// 1 sign number
// 8 exponent
// 48 mantissa
//
// ============================================================================
 
`include "fpConfig.sv"
 
module fpMul (clk, ce, a, b, o, sign_exe, inf, overflow, underflow);
parameter FPWID = 32;
`include "fpSize.sv"
 
input clk;
input ce;
input [MSB:0] a, b;
output [EX:0] o;
output sign_exe;
output inf;
output overflow;
output underflow;
 
reg [EMSB:0] xo1; // extra bit for sign
reg [FX:0] mo1;
 
// constants
wire [EMSB:0] infXp = {EMSB+1{1'b1}}; // infinite / NaN - all ones
// The following is the value for an exponent of zero, with the offset
// eg. 8'h7f for eight bit exponent, 11'h7ff for eleven bit exponent, etc.
wire [EMSB:0] bias = {1'b0,{EMSB{1'b1}}}; //2^0 exponent
// The following is a template for a quiet nan. (MSB=1)
wire [FMSB:0] qNaN = {1'b1,{FMSB{1'b0}}};
 
// variables
reg [FX:0] fract1,fract1a;
wire [FX:0] fracto;
wire [EMSB+2:0] ex1; // sum of exponents
wire [EMSB :0] ex2;
 
// Decompose the operands
wire sa, sb; // sign bit
wire [EMSB:0] xa, xb; // exponent bits
wire [FMSB+1:0] fracta, fractb;
wire a_dn, b_dn; // a/b is denormalized
wire aNan, bNan, aNan1, bNan1;
wire az, bz;
wire aInf, bInf, aInf1, bInf1;
 
 
// -----------------------------------------------------------
// First clock
// - decode the input operands
// - derive basic information
// - calculate exponent
// - calculate fraction
// -----------------------------------------------------------
 
fpDecomp #(FPWID) u1a (.i(a), .sgn(sa), .exp(xa), .fract(fracta), .xz(a_dn), .vz(az), .inf(aInf), .nan(aNan) );
fpDecomp #(FPWID) u1b (.i(b), .sgn(sb), .exp(xb), .fract(fractb), .xz(b_dn), .vz(bz), .inf(bInf), .nan(bNan) );
 
// Compute the sum of the exponents.
// correct the exponent for denormalized operands
// adjust the sum by the exponent offset (subtract 127)
// mul: ex1 = xa + xb, result should always be < 1ffh
assign ex1 = (az|bz) ? 0 : (xa|a_dn) + (xb|b_dn) - bias;
 
generate
if (FPWID+`EXTRA_BITS==80) begin
reg [31:0] p00,p01,p02,p03;
reg [31:0] p10,p11,p12,p13;
reg [31:0] p20,p21,p22,p23;
reg [31:0] p30,p31,p32,p33;
always @(posedge clk)
if (ce) begin
p00 <= fracta[15: 0] * fractb[15: 0];
p01 <= fracta[31:16] * fractb[15: 0];
p02 <= fracta[47:32] * fractb[15: 0];
p03 <= fracta[63:48] * fractb[15: 0];
p10 <= fracta[15: 0] * fractb[31:16];
p11 <= fracta[31:16] * fractb[31:16];
p12 <= fracta[47:32] * fractb[31:16];
p13 <= fracta[63:48] * fractb[31:16];
 
p20 <= fracta[15: 0] * fractb[47:32];
p21 <= fracta[31:16] * fractb[47:32];
p22 <= fracta[47:32] * fractb[47:32];
p23 <= fracta[63:48] * fractb[47:32];
 
p30 <= fracta[15: 0] * fractb[63:48];
p31 <= fracta[31:16] * fractb[63:48];
p32 <= fracta[47:32] * fractb[63:48];
p33 <= fracta[63:48] * fractb[63:48];
 
fract1 <= {p03,48'b0} + {p02,32'b0} + {p01,16'b0} + p00 +
{p13,64'b0} + {p12,48'b0} + {p11,32'b0} + {p10,16'b0} +
{p23,80'b0} + {p22,64'b0} + {p21,48'b0} + {p20,32'b0} +
{p33,96'b0} + {p32,80'b0} + {p31,64'b0} + {p30,48'b0}
;
end
end
else if (FPWID+`EXTRA_BITS==64) begin
reg [35:0] p00,p01,p02;
reg [35:0] p10,p11,p12;
reg [35:0] p20,p21,p22;
always @(posedge clk)
if (ce) begin
p00 <= fracta[17: 0] * fractb[17: 0];
p01 <= fracta[35:18] * fractb[17: 0];
p02 <= fracta[52:36] * fractb[17: 0];
p10 <= fracta[17: 0] * fractb[35:18];
p11 <= fracta[35:18] * fractb[35:18];
p12 <= fracta[52:36] * fractb[35:18];
p20 <= fracta[17: 0] * fractb[52:36];
p21 <= fracta[35:18] * fractb[52:36];
p22 <= fracta[52:36] * fractb[52:36];
fract1 <= {p02,36'b0} + {p01,18'b0} + p00 +
{p12,54'b0} + {p11,36'b0} + {p10,18'b0} +
{p22,72'b0} + {p21,54'b0} + {p20,36'b0}
;
end
end
else if (FPWID+`EXTRA_BITS==32) begin
reg [23:0] p00,p01,p02;
reg [23:0] p10,p11,p12;
reg [23:0] p20,p21,p22;
always @(posedge clk)
if (ce) begin
p00 <= fracta[11: 0] * fractb[11: 0];
p01 <= fracta[23:12] * fractb[11: 0];
p10 <= fracta[11: 0] * fractb[23:12];
p11 <= fracta[23:12] * fractb[23:12];
fract1 <= {p11,p00} + {p01,12'b0} + {p10,12'b0};
end
end
else begin
always @(posedge clk)
if (ce) begin
fract1a <= fracta * fractb;
fract1 <= fract1a;
end
end
endgenerate
 
// Status
wire under1, over1;
wire under = ex1[EMSB+2]; // exponent underflow
wire over = (&ex1[EMSB:0] | ex1[EMSB+1]) & !ex1[EMSB+2];
 
delay2 #(EMSB+1) u3 (.clk(clk), .ce(ce), .i(ex1[EMSB:0]), .o(ex2) );
delay2 u2a (.clk(clk), .ce(ce), .i(aInf), .o(aInf1) );
delay2 u2b (.clk(clk), .ce(ce), .i(bInf), .o(bInf1) );
delay2 u6 (.clk(clk), .ce(ce), .i(under), .o(under1) );
delay2 u7 (.clk(clk), .ce(ce), .i(over), .o(over1) );
 
// determine when a NaN is output
wire qNaNOut;
wire [FPWID-1:0] a1,b1;
delay2 u5 (.clk(clk), .ce(ce), .i((aInf&bz)|(bInf&az)), .o(qNaNOut) );
delay2 u14 (.clk(clk), .ce(ce), .i(aNan), .o(aNan1) );
delay2 u15 (.clk(clk), .ce(ce), .i(bNan), .o(bNan1) );
delay2 #(FPWID) u16 (.clk(clk), .ce(ce), .i(a), .o(a1) );
delay2 #(FPWID) u17 (.clk(clk), .ce(ce), .i(b), .o(b1) );
 
// -----------------------------------------------------------
// Second clock
// - correct xponent and mantissa for exceptional conditions
// -----------------------------------------------------------
 
wire so1;
delay3 u8 (.clk(clk), .ce(ce), .i(sa ^ sb), .o(so1) );// two clock delay!
 
always @(posedge clk)
if (ce)
casez({qNaNOut|aNan1|bNan1,aInf1,bInf1,over1,under1})
5'b1????: xo1 = infXp; // qNaN - infinity * zero
5'b01???: xo1 = infXp; // 'a' infinite
5'b001??: xo1 = infXp; // 'b' infinite
5'b0001?: xo1 = infXp; // result overflow
5'b00001: xo1 = ex2[EMSB:0];//0; // underflow
default: xo1 = ex2[EMSB:0]; // situation normal
endcase
 
always @(posedge clk)
if (ce)
casez({aNan1,bNan1,qNaNOut,aInf1,bInf1,over1})
6'b1?????: mo1 = {1'b1,1'b1,a1[FMSB-1:0],{FMSB+1{1'b0}}};
6'b01????: mo1 = {1'b1,1'b1,b1[FMSB-1:0],{FMSB+1{1'b0}}};
6'b001???: mo1 = {1'b1,qNaN|3'd4,{FMSB+1{1'b0}}}; // multiply inf * zero
6'b0001??: mo1 = 0; // mul inf's
6'b00001?: mo1 = 0; // mul inf's
6'b000001: mo1 = 0; // mul overflow
default: mo1 = fract1;
endcase
 
delay3 u10 (.clk(clk), .ce(ce), .i(sa & sb), .o(sign_exe) );
delay1 u11 (.clk(clk), .ce(ce), .i(over1), .o(overflow) );
delay1 u12 (.clk(clk), .ce(ce), .i(over1), .o(inf) );
delay1 u13 (.clk(clk), .ce(ce), .i(under1), .o(underflow) );
 
assign o = {so1,xo1,mo1};
 
endmodule
 
 
// Multiplier with normalization and rounding.
 
module fpMulnr(clk, ce, a, b, o, rm, sign_exe, inf, overflow, underflow);
parameter FPWID=32;
`include "fpSize.sv"
 
input clk;
input ce;
input [MSB:0] a, b;
output [MSB:0] o;
input [2:0] rm;
output sign_exe;
output inf;
output overflow;
output underflow;
 
wire [EX:0] o1;
wire sign_exe1, inf1, overflow1, underflow1;
wire [MSB+3:0] fpn0;
 
fpMul #(FPWID) u1 (clk, ce, a, b, o1, sign_exe1, inf1, overflow1, underflow1);
fpNormalize #(FPWID) u2(.clk(clk), .ce(ce), .under(underflow1), .i(o1), .o(fpn0) );
fpRoundReg #(FPWID) u3(.clk(clk), .ce(ce), .rm(rm), .i(fpn0), .o(o) );
delay2 #(1) u4(.clk(clk), .ce(ce), .i(sign_exe1), .o(sign_exe));
delay2 #(1) u5(.clk(clk), .ce(ce), .i(inf1), .o(inf));
delay2 #(1) u6(.clk(clk), .ce(ce), .i(overflow1), .o(overflow));
delay2 #(1) u7(.clk(clk), .ce(ce), .i(underflow1), .o(underflow));
endmodule
 
/verilog2/fpNextAfter.sv
0,0 → 1,77
// ============================================================================
// __
// \\__/ o\ (C) 2019 Robert Finch, Waterloo
// \ __ / All rights reserved.
// \/_// robfinch<remove>@finitron.ca
// ||
//
// fpNextAfter.v
// - floating point nextafter()
// - return next representable value
//
// 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"
 
module fpNextAfter(clk, ce, a, b, o);
parameter FPWID=80;
`include "fpSize.sv"
input clk;
input ce;
input [MSB:0] a;
input [MSB:0] b;
output reg [MSB:0] o;
 
wire [4:0] cmp_o;
wire nana, nanb;
wire xza, mza;
 
fpCompare #(FPWID) u1 (.a(a), .b(b), .o(cmp_o), .nanx(nanxab) );
fpDecomp #(FPWID) u2 (.i(a), .sgn(), .exp(), .man(), .fract(), .xz(xza), .mz(mza), .vz(), .inf(), .xinf(), .qnan(), .snan(), .nan(nana));
fpDecomp #(FPWID) u3 (.i(b), .sgn(), .exp(), .man(), .fract(), .xz(), .mz(), .vz(), .inf(), .xinf(), .qnan(), .snan(), .nan(nanb));
wire [MSB:0] ap1 = a + {2'd1,{`EXTRA_BITS{1'b0}}};
wire [MSB:0] am1 = a - {2'd1,{`EXTRA_BITS{1'b0}}};
wire [EMSB:0] infXp = {EMSB+1{1'b1}};
 
always @(posedge clk)
if (ce)
casez({a[MSB],cmp_o})
6'b?1????: o <= nana ? a : b; // Unordered
6'b????1?: o <= a; // a,b Equal
6'b0????1:
if (ap1[MSB-1:FMSB+1]==infXp)
o <= {a[MSB:FMSB+1],{FMSB+1{1'b0}}};
else
o <= ap1;
6'b0????0:
if (xza && mza)
;
else
o <= am1;
6'b1????0:
if (ap1[MSB-1:FMSB+1]==infXp)
o <= {a[MSB:FMSB+1],{FMSB+1{1'b0}}};
else
o <= ap1;
6'b1????1:
if (xza && mza)
;
else
o <= am1;
default: o <= a;
endcase
 
endmodule
/verilog2/fpNormalize.v
0,0 → 1,267
// ============================================================================
// __
// \\__/ o\ (C) 2006-2019 Robert Finch, Waterloo
// \ __ / All rights reserved.
// \/_// robfinch<remove>@finitron.ca
// ||
//
// fpNormalize.v
// - floating point normalization unit
// - eight cycle latency
// - parameterized FPWIDth
// - IEEE 754 representation
//
//
// 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/>.
//
// This unit takes a floating point number in an intermediate
// format and normalizes it. No normalization occurs
// for NaN's or infinities. The unit has a two cycle latency.
//
// The mantissa is assumed to start with two whole bits on
// the left. The remaining bits are fractional.
//
// The FPWIDth of the incoming format is reduced via a generation
// of sticky bit in place of the low order fractional bits.
//
// On an underflowed input, the incoming exponent is assumed
// to be negative. A right shift is needed.
// ============================================================================
 
`include "fpConfig.sv"
 
module fpNormalize(clk, ce, i, o, under_i, under_o, inexact_o);
parameter FPWID = 80;
`include "fpSize.sv"
 
input clk;
input ce;
input [EX:0] i; // expanded format input
output [MSB+3:0] o; // normalized output + guard, sticky and round bits, + 1 whole digit
input under_i;
output under_o;
output inexact_o;
 
 
// ----------------------------------------------------------------------------
// No Clock required
// ----------------------------------------------------------------------------
reg [EMSB:0] xo0;
reg so0;
 
always @*
xo0 <= i[EX-1:FX+1];
always @*
so0 <= i[EX]; // sign doesn't change
 
// ----------------------------------------------------------------------------
// Clock #1
// - Capture exponent information
// ----------------------------------------------------------------------------
reg xInf1a, xInf1b, xInf1c;
wire [FX:0] i1;
delay1 #(FX+1) u11 (.clk(clk), .ce(ce), .i(i), .o(i1));
 
always @(posedge clk)
if (ce) xInf1a <= &xo0 & !under_i;
always @(posedge clk)
if (ce) xInf1b <= &xo0[EMSB:1] & !under_i;
always @(posedge clk)
if (ce) xInf1c = &xo0;
 
// ----------------------------------------------------------------------------
// Clock #2
// - determine exponent increment
// Since the there are *three* whole digits in the incoming format
// the number of whole digits needs to be reduced. If the MSB is
// set, then increment the exponent and no shift is needed.
// ----------------------------------------------------------------------------
wire xInf2c, xInf2b;
wire [EMSB:0] xo2;
reg incExpByOne2, incExpByTwo2;
delay1 u21 (.clk(clk), .ce(ce), .i(xInf1c), .o(xInf2c));
delay1 u22 (.clk(clk), .ce(ce), .i(xInf1b), .o(xInf2b));
delay2 #(EMSB+1) u23 (.clk(clk), .ce(ce), .i(xo0), .o(xo2));
delay2 u24 (.clk(clk), .ce(ce), .i(under_i), .o(under2));
 
always @(posedge clk)
if (ce) incExpByTwo2 <= !xInf1b & i1[FX];
always @(posedge clk)
if (ce) incExpByOne2 <= !xInf1a & i1[FX-1];
 
// ----------------------------------------------------------------------------
// Clock #3
// - increment exponent
// - detect a zero mantissa
// ----------------------------------------------------------------------------
 
wire incExpByTwo3;
wire incExpByOne3;
wire [FX:0] i3;
reg [EMSB:0] xo3;
reg zeroMan3;
delay1 u31 (.clk(clk), .ce(ce), .i(incExpByTwo2), .o(incExpByTwo3));
delay1 u32 (.clk(clk), .ce(ce), .i(incExpByOne2), .o(incExpByOne3));
delay3 #(FX+1) u33 (.clk(clk), .ce(ce), .i(i[FX:0]), .o(i3));
wire [EMSB+1:0] xv3a = xo2 + {incExpByTwo2,1'b0};
wire [EMSB+1:0] xv3b = xo2 + incExpByOne2;
 
always @(posedge clk)
if (ce) xo3 <= xo2 + (incExpByTwo2 ? 2'd2 : incExpByOne2 ? 2'd1 : 2'd0);
 
always @(posedge clk)
if(ce) zeroMan3 <= ((xv3b[EMSB+1]|| &xv3b[EMSB:0])||(xv3a[EMSB+1]| &xv3a[EMSB:0]))
&& !under2 && !xInf2c;
 
// ----------------------------------------------------------------------------
// Clock #4
// - Shift mantissa left
// - If infinity is reached then set the mantissa to zero
// shift mantissa left to reduce to a single whole digit
// - create sticky bit
// ----------------------------------------------------------------------------
 
reg [FMSB+4:0] mo4;
reg inexact4;
 
always @(posedge clk)
if(ce)
casez({zeroMan3,incExpByTwo3,incExpByOne3})
3'b1??: mo4 <= 1'd0;
3'b01?: mo4 <= {i3[FX:FMSB+1],|i3[FMSB:0]};
3'b001: mo4 <= {i3[FX-1:FMSB],|i3[FMSB-1:0]};
default: mo4 <= {i3[FX-2:FMSB-1],|i3[FMSB-2:0]};
endcase
 
always @(posedge clk)
if(ce)
casez({zeroMan3,incExpByTwo3,incExpByOne3})
3'b1??: inexact4 <= 1'd0;
3'b01?: inexact4 <= |i3[FMSB:0];
3'b001: inexact4 <= |i3[FMSB-1:0];
default: inexact4 <= |i3[FMSB-2:0];
endcase
 
// ----------------------------------------------------------------------------
// Clock edge #5
// - count leading zeros
// ----------------------------------------------------------------------------
wire [7:0] leadingZeros5;
wire [EMSB:0] xo5;
wire xInf5;
delay2 #(EMSB+1) u51 (.clk(clk), .ce(ce), .i(xo3), .o(xo5));
delay3 #(1) u52 (.clk(clk), .ce(ce), .i(xInf2c), .o(xInf5) );
 
generate
begin
if (FPWID+`EXTRA_BITS <= 32) begin
cntlz32Reg clz0 (.clk(clk), .ce(ce), .i({mo4,5'b0}), .o(leadingZeros5) );
assign leadingZeros5[7:6] = 2'b00;
end
else if (FPWID+`EXTRA_BITS<=64) begin
assign leadingZeros5[7] = 1'b0;
cntlz64Reg clz0 (.clk(clk), .ce(ce), .i({mo4,8'h0}), .o(leadingZeros5) );
end
else if (FPWID+`EXTRA_BITS<=80) begin
assign leadingZeros5[7] = 1'b0;
cntlz80Reg clz0 (.clk(clk), .ce(ce), .i({mo4,12'b0}), .o(leadingZeros5) );
end
else if (FPWID+`EXTRA_BITS<=84) begin
assign leadingZeros5[7] = 1'b0;
cntlz96Reg clz0 (.clk(clk), .ce(ce), .i({mo4,24'b0}), .o(leadingZeros5) );
end
else if (FPWID+`EXTRA_BITS<=96) begin
assign leadingZeros5[7] = 1'b0;
cntlz96Reg clz0 (.clk(clk), .ce(ce), .i({mo4,12'b0}), .o(leadingZeros5) );
end
else if (FPWID+`EXTRA_BITS<=128)
cntlz128Reg clz0 (.clk(clk), .ce(ce), .i({mo4,12'b0}), .o(leadingZeros5) );
end
endgenerate
 
 
// ----------------------------------------------------------------------------
// Clock edge #6
// - Compute how much we want to decrement exponent by
// - compute amount to shift left and right
// - at infinity the exponent can't be incremented, so we can't shift right
// otherwise it was an underflow situation so the exponent was negative
// shift amount needs to be negated for shift register
// If the exponent underflowed, then the shift direction must be to the
// right regardless of mantissa bits; the number is denormalized.
// Otherwise the shift direction must be to the left.
// ----------------------------------------------------------------------------
reg [7:0] lshiftAmt6;
reg [7:0] rshiftAmt6;
wire rightOrLeft6; // 0=left,1=right
wire xInf6;
wire [EMSB:0] xo6;
wire [FMSB+4:0] mo6;
wire zeroMan6;
vtdl #(1) u61 (.clk(clk), .ce(ce), .a(4'd5), .d(under_i), .q(rightOrLeft6) );
delay1 #(EMSB+1) u62 (.clk(clk), .ce(ce), .i(xo5), .o(xo6));
delay2 #(FMSB+5) u63 (.clk(clk), .ce(ce), .i(mo4), .o(mo6) );
delay1 #(1) u64 (.clk(clk), .ce(ce), .i(xInf5), .o(xInf6) );
delay3 u65 (.clk(clk), .ce(ce), .i(zeroMan3), .o(zeroMan6));
 
always @(posedge clk)
if (ce) lshiftAmt6 <= leadingZeros5 > xo5 ? xo5 : leadingZeros5;
 
always @(posedge clk)
if (ce) rshiftAmt6 <= xInf5 ? 1'd0 : $signed(xo5) > 1'd0 ? 1'd0 : ~xo5+2'd1; // xo2 is negative !
 
// ----------------------------------------------------------------------------
// Clock edge #7
// - fogure exponent
// - shift mantissa
// ----------------------------------------------------------------------------
 
reg [EMSB:0] xo7;
wire rightOrLeft7;
reg [FMSB+4:0] mo7l, mo7r;
delay1 u71 (.clk(clk), .ce(ce), .i(rightOrLeft6), .o(rightOrLeft7));
 
always @(posedge clk)
if (ce)
xo7 <= zeroMan6 ? xo6 :
xInf6 ? xo6 : // an infinite exponent is either a NaN or infinity; no need to change
rightOrLeft6 ? 1'd0 : // on a right shift, the exponent was negative, it's being made to zero
xo6 - lshiftAmt6; // on a left shift, the exponent can't be decremented below zero
 
always @(posedge clk)
if (ce) mo7r <= mo6 >> rshiftAmt6;
always @(posedge clk)
if (ce) mo7l <= mo6 << lshiftAmt6;
 
 
// ----------------------------------------------------------------------------
// Clock edge #8
// - select mantissa
// ----------------------------------------------------------------------------
 
wire so;
wire [EMSB:0] xo;
reg [FMSB+4:0] mo;
vtdl #(1) u81 (.clk(clk), .ce(ce), .a(4'd7), .d(so0), .q(so) );
delay1 #(EMSB+1) u82 (.clk(clk), .ce(ce), .i(xo7), .o(xo));
vtdl u83 (.clk(clk), .ce(ce), .a(4'd3), .d(inexact4), .q(inexact_o));
delay1 u84 (.clk(clk), .ce(ce), .i(rightOrLeft7), .o(under_o));
 
always @(posedge clk)
if (ce) mo <= rightOrLeft7 ? mo7r : mo7l;
 
assign o = {so,xo,mo[FMSB+4:1]};
 
endmodule
/verilog2/fpRes.sv
0,0 → 1,1100
// ============================================================================
// __
// \\__/ o\ (C) 2006-2019 Robert Finch, Waterloo
// \ __ / All rights reserved.
// \/_// robfinch<remove>@finitron.ca
// ||
//
//
// 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"
 
module fpRes(clk, ce, a, o);
parameter FPWID = 128;
`include "fpSize.sv"
input clk;
input ce;
input [FPWID-1:0] a;
output [FPWID-1:0] o;
 
// This table encodes two endpoints k0, k1 of a piece-wise linear
// approximation to the reciprocal in the range [1.0,2.0).
(* ram_style="block" *)
reg [31:0] k01 [0:1023];
initial begin
k01[0] = 32'hfffeffc1;
k01[1] = 32'hffbfff41;
k01[2] = 32'hff7ffec2;
k01[3] = 32'hff3ffe43;
k01[4] = 32'hfefffdc4;
k01[5] = 32'hfec0fd46;
k01[6] = 32'hfe81fcc8;
k01[7] = 32'hfe42fc4b;
k01[8] = 32'hfe02fbce;
k01[9] = 32'hfdc4fb51;
k01[10] = 32'hfd85fad5;
k01[11] = 32'hfd46fa59;
k01[12] = 32'hfd07f9dd;
k01[13] = 32'hfcc9f962;
k01[14] = 32'hfc8bf8e7;
k01[15] = 32'hfc4cf86d;
k01[16] = 32'hfc0ef7f2;
k01[17] = 32'hfbd0f779;
k01[18] = 32'hfb92f6ff;
k01[19] = 32'hfb55f686;
k01[20] = 32'hfb17f60d;
k01[21] = 32'hfad9f595;
k01[22] = 32'hfa9cf51d;
k01[23] = 32'hfa5ff4a5;
k01[24] = 32'hfa22f42e;
k01[25] = 32'hf9e5f3b7;
k01[26] = 32'hf9a8f340;
k01[27] = 32'hf96bf2c9;
k01[28] = 32'hf92ef253;
k01[29] = 32'hf8f2f1de;
k01[30] = 32'hf8b5f168;
k01[31] = 32'hf879f0f3;
k01[32] = 32'hf83df07e;
k01[33] = 32'hf800f00a;
k01[34] = 32'hf7c4ef96;
k01[35] = 32'hf789ef22;
k01[36] = 32'hf74deeaf;
k01[37] = 32'hf711ee3c;
k01[38] = 32'hf6d6edc9;
k01[39] = 32'hf69aed57;
k01[40] = 32'hf65fece5;
k01[41] = 32'hf624ec73;
k01[42] = 32'hf5e8ec01;
k01[43] = 32'hf5adeb90;
k01[44] = 32'hf573eb1f;
k01[45] = 32'hf538eaaf;
k01[46] = 32'hf4fdea3f;
k01[47] = 32'hf4c2e9cf;
k01[48] = 32'hf488e95f;
k01[49] = 32'hf44ee8f0;
k01[50] = 32'hf413e881;
k01[51] = 32'hf3d9e812;
k01[52] = 32'hf39fe7a4;
k01[53] = 32'hf365e736;
k01[54] = 32'hf32ce6c8;
k01[55] = 32'hf2f2e65b;
k01[56] = 32'hf2b8e5ee;
k01[57] = 32'hf27fe581;
k01[58] = 32'hf245e515;
k01[59] = 32'hf20ce4a8;
k01[60] = 32'hf1d3e43c;
k01[61] = 32'hf19ae3d1;
k01[62] = 32'hf161e366;
k01[63] = 32'hf128e2fb;
k01[64] = 32'hf0efe290;
k01[65] = 32'hf0b7e225;
k01[66] = 32'hf07ee1bb;
k01[67] = 32'hf046e151;
k01[68] = 32'hf00de0e8;
k01[69] = 32'hefd5e07f;
k01[70] = 32'hef9de016;
k01[71] = 32'hef65dfad;
k01[72] = 32'hef2ddf45;
k01[73] = 32'heef5dedd;
k01[74] = 32'heebede75;
k01[75] = 32'hee86de0d;
k01[76] = 32'hee4fdda6;
k01[77] = 32'hee17dd3f;
k01[78] = 32'hede0dcd8;
k01[79] = 32'heda9dc72;
k01[80] = 32'hed72dc0c;
k01[81] = 32'hed3adba6;
k01[82] = 32'hed04db40;
k01[83] = 32'heccddadb;
k01[84] = 32'hec96da76;
k01[85] = 32'hec5fda11;
k01[86] = 32'hec29d9ad;
k01[87] = 32'hebf3d948;
k01[88] = 32'hebbcd8e4;
k01[89] = 32'heb86d881;
k01[90] = 32'heb50d81d;
k01[91] = 32'heb1ad7ba;
k01[92] = 32'heae4d757;
k01[93] = 32'heaaed6f5;
k01[94] = 32'hea78d692;
k01[95] = 32'hea43d630;
k01[96] = 32'hea0dd5ce;
k01[97] = 32'he9d8d56d;
k01[98] = 32'he9a2d50c;
k01[99] = 32'he96dd4aa;
k01[100] = 32'he938d44a;
k01[101] = 32'he903d3e9;
k01[102] = 32'he8ced389;
k01[103] = 32'he899d329;
k01[104] = 32'he864d2c9;
k01[105] = 32'he82fd26a;
k01[106] = 32'he7fbd20a;
k01[107] = 32'he7c6d1ab;
k01[108] = 32'he792d14d;
k01[109] = 32'he75ed0ee;
k01[110] = 32'he729d090;
k01[111] = 32'he6f5d032;
k01[112] = 32'he6c1cfd4;
k01[113] = 32'he68dcf77;
k01[114] = 32'he659cf19;
k01[115] = 32'he626cebc;
k01[116] = 32'he5f2ce60;
k01[117] = 32'he5bece03;
k01[118] = 32'he58bcda7;
k01[119] = 32'he557cd4b;
k01[120] = 32'he524ccef;
k01[121] = 32'he4f1cc93;
k01[122] = 32'he4becc38;
k01[123] = 32'he48bcbdd;
k01[124] = 32'he458cb82;
k01[125] = 32'he425cb28;
k01[126] = 32'he3f2cacd;
k01[127] = 32'he3bfca73;
k01[128] = 32'he38dca19;
k01[129] = 32'he35ac9bf;
k01[130] = 32'he328c966;
k01[131] = 32'he2f5c90d;
k01[132] = 32'he2c3c8b4;
k01[133] = 32'he291c85b;
k01[134] = 32'he25fc803;
k01[135] = 32'he22dc7aa;
k01[136] = 32'he1fbc752;
k01[137] = 32'he1c9c6fa;
k01[138] = 32'he197c6a3;
k01[139] = 32'he166c64b;
k01[140] = 32'he134c5f4;
k01[141] = 32'he103c59d;
k01[142] = 32'he0d1c547;
k01[143] = 32'he0a0c4f0;
k01[144] = 32'he06fc49a;
k01[145] = 32'he03ec444;
k01[146] = 32'he00cc3ee;
k01[147] = 32'hdfdcc399;
k01[148] = 32'hdfabc343;
k01[149] = 32'hdf7ac2ee;
k01[150] = 32'hdf49c299;
k01[151] = 32'hdf18c244;
k01[152] = 32'hdee8c1f0;
k01[153] = 32'hdeb7c19c;
k01[154] = 32'hde87c147;
k01[155] = 32'hde57c0f4;
k01[156] = 32'hde26c0a0;
k01[157] = 32'hddf6c04d;
k01[158] = 32'hddc6bff9;
k01[159] = 32'hdd96bfa6;
k01[160] = 32'hdd66bf53;
k01[161] = 32'hdd36bf01;
k01[162] = 32'hdd07beaf;
k01[163] = 32'hdcd7be5c;
k01[164] = 32'hdca7be0a;
k01[165] = 32'hdc78bdb9;
k01[166] = 32'hdc48bd67;
k01[167] = 32'hdc19bd16;
k01[168] = 32'hdbeabcc5;
k01[169] = 32'hdbbbbc74;
k01[170] = 32'hdb8cbc23;
k01[171] = 32'hdb5dbbd2;
k01[172] = 32'hdb2ebb82;
k01[173] = 32'hdaffbb32;
k01[174] = 32'hdad0bae2;
k01[175] = 32'hdaa1ba92;
k01[176] = 32'hda73ba43;
k01[177] = 32'hda44b9f3;
k01[178] = 32'hda15b9a4;
k01[179] = 32'hd9e7b955;
k01[180] = 32'hd9b9b906;
k01[181] = 32'hd98ab8b8;
k01[182] = 32'hd95cb86a;
k01[183] = 32'hd92eb81b;
k01[184] = 32'hd900b7cd;
k01[185] = 32'hd8d2b780;
k01[186] = 32'hd8a4b732;
k01[187] = 32'hd877b6e5;
k01[188] = 32'hd849b697;
k01[189] = 32'hd81bb64a;
k01[190] = 32'hd7eeb5fe;
k01[191] = 32'hd7c0b5b1;
k01[192] = 32'hd793b565;
k01[193] = 32'hd765b518;
k01[194] = 32'hd738b4cc;
k01[195] = 32'hd70bb480;
k01[196] = 32'hd6deb435;
k01[197] = 32'hd6b1b3e9;
k01[198] = 32'hd684b39e;
k01[199] = 32'hd657b353;
k01[200] = 32'hd62ab308;
k01[201] = 32'hd5fdb2bd;
k01[202] = 32'hd5d1b272;
k01[203] = 32'hd5a4b228;
k01[204] = 32'hd577b1de;
k01[205] = 32'hd54bb194;
k01[206] = 32'hd51fb14a;
k01[207] = 32'hd4f2b100;
k01[208] = 32'hd4c6b0b7;
k01[209] = 32'hd49ab06d;
k01[210] = 32'hd46eb024;
k01[211] = 32'hd442afdb;
k01[212] = 32'hd416af93;
k01[213] = 32'hd3eaaf4a;
k01[214] = 32'hd3beaf02;
k01[215] = 32'hd392aeb9;
k01[216] = 32'hd367ae71;
k01[217] = 32'hd33bae29;
k01[218] = 32'hd30fade2;
k01[219] = 32'hd2e4ad9a;
k01[220] = 32'hd2b9ad53;
k01[221] = 32'hd28dad0b;
k01[222] = 32'hd262acc4;
k01[223] = 32'hd237ac7d;
k01[224] = 32'hd20cac37;
k01[225] = 32'hd1e1abf0;
k01[226] = 32'hd1b6abaa;
k01[227] = 32'hd18bab64;
k01[228] = 32'hd160ab1e;
k01[229] = 32'hd135aad8;
k01[230] = 32'hd10aaa92;
k01[231] = 32'hd0e0aa4c;
k01[232] = 32'hd0b5aa07;
k01[233] = 32'hd08ba9c2;
k01[234] = 32'hd060a97d;
k01[235] = 32'hd036a938;
k01[236] = 32'hd00ba8f3;
k01[237] = 32'hcfe1a8af;
k01[238] = 32'hcfb7a86a;
k01[239] = 32'hcf8da826;
k01[240] = 32'hcf63a7e2;
k01[241] = 32'hcf39a79e;
k01[242] = 32'hcf0fa75a;
k01[243] = 32'hcee5a717;
k01[244] = 32'hcebba6d3;
k01[245] = 32'hce92a690;
k01[246] = 32'hce68a64d;
k01[247] = 32'hce3fa60a;
k01[248] = 32'hce15a5c7;
k01[249] = 32'hcdeca585;
k01[250] = 32'hcdc2a542;
k01[251] = 32'hcd99a500;
k01[252] = 32'hcd70a4be;
k01[253] = 32'hcd46a47c;
k01[254] = 32'hcd1da43a;
k01[255] = 32'hccf4a3f8;
k01[256] = 32'hcccba3b7;
k01[257] = 32'hcca2a375;
k01[258] = 32'hcc79a334;
k01[259] = 32'hcc51a2f3;
k01[260] = 32'hcc28a2b2;
k01[261] = 32'hcbffa271;
k01[262] = 32'hcbd7a231;
k01[263] = 32'hcbaea1f0;
k01[264] = 32'hcb86a1b0;
k01[265] = 32'hcb5da170;
k01[266] = 32'hcb35a130;
k01[267] = 32'hcb0da0f0;
k01[268] = 32'hcae4a0b0;
k01[269] = 32'hcabca071;
k01[270] = 32'hca94a031;
k01[271] = 32'hca6c9ff2;
k01[272] = 32'hca449fb3;
k01[273] = 32'hca1c9f74;
k01[274] = 32'hc9f49f35;
k01[275] = 32'hc9cc9ef6;
k01[276] = 32'hc9a59eb8;
k01[277] = 32'hc97d9e79;
k01[278] = 32'hc9559e3b;
k01[279] = 32'hc92e9dfd;
k01[280] = 32'hc9069dbf;
k01[281] = 32'hc8df9d81;
k01[282] = 32'hc8b89d43;
k01[283] = 32'hc8909d06;
k01[284] = 32'hc8699cc8;
k01[285] = 32'hc8429c8b;
k01[286] = 32'hc81b9c4e;
k01[287] = 32'hc7f49c11;
k01[288] = 32'hc7cd9bd4;
k01[289] = 32'hc7a69b97;
k01[290] = 32'hc77f9b5b;
k01[291] = 32'hc7589b1e;
k01[292] = 32'hc7319ae2;
k01[293] = 32'hc70a9aa6;
k01[294] = 32'hc6e49a6a;
k01[295] = 32'hc6bd9a2e;
k01[296] = 32'hc69799f2;
k01[297] = 32'hc67099b7;
k01[298] = 32'hc64a997b;
k01[299] = 32'hc6239940;
k01[300] = 32'hc5fd9905;
k01[301] = 32'hc5d798c9;
k01[302] = 32'hc5b0988e;
k01[303] = 32'hc58a9854;
k01[304] = 32'hc5649819;
k01[305] = 32'hc53e97de;
k01[306] = 32'hc51897a4;
k01[307] = 32'hc4f2976a;
k01[308] = 32'hc4cd9730;
k01[309] = 32'hc4a796f6;
k01[310] = 32'hc48196bc;
k01[311] = 32'hc45b9682;
k01[312] = 32'hc4369648;
k01[313] = 32'hc410960f;
k01[314] = 32'hc3eb95d5;
k01[315] = 32'hc3c5959c;
k01[316] = 32'hc3a09563;
k01[317] = 32'hc37a952a;
k01[318] = 32'hc35594f1;
k01[319] = 32'hc33094b8;
k01[320] = 32'hc30b9480;
k01[321] = 32'hc2e69447;
k01[322] = 32'hc2c0940f;
k01[323] = 32'hc29b93d7;
k01[324] = 32'hc277939f;
k01[325] = 32'hc2529367;
k01[326] = 32'hc22d932f;
k01[327] = 32'hc20892f7;
k01[328] = 32'hc1e392bf;
k01[329] = 32'hc1bf9288;
k01[330] = 32'hc19a9251;
k01[331] = 32'hc1759219;
k01[332] = 32'hc15191e2;
k01[333] = 32'hc12c91ab;
k01[334] = 32'hc1089174;
k01[335] = 32'hc0e4913e;
k01[336] = 32'hc0bf9107;
k01[337] = 32'hc09b90d0;
k01[338] = 32'hc077909a;
k01[339] = 32'hc0539064;
k01[340] = 32'hc02f902e;
k01[341] = 32'hc00a8ff8;
k01[342] = 32'hbfe78fc2;
k01[343] = 32'hbfc38f8c;
k01[344] = 32'hbf9f8f56;
k01[345] = 32'hbf7b8f21;
k01[346] = 32'hbf578eeb;
k01[347] = 32'hbf338eb6;
k01[348] = 32'hbf108e81;
k01[349] = 32'hbeec8e4b;
k01[350] = 32'hbec88e16;
k01[351] = 32'hbea58de2;
k01[352] = 32'hbe818dad;
k01[353] = 32'hbe5e8d78;
k01[354] = 32'hbe3b8d44;
k01[355] = 32'hbe178d0f;
k01[356] = 32'hbdf48cdb;
k01[357] = 32'hbdd18ca7;
k01[358] = 32'hbdae8c73;
k01[359] = 32'hbd8b8c3f;
k01[360] = 32'hbd688c0b;
k01[361] = 32'hbd458bd7;
k01[362] = 32'hbd228ba4;
k01[363] = 32'hbcff8b70;
k01[364] = 32'hbcdc8b3d;
k01[365] = 32'hbcb98b09;
k01[366] = 32'hbc968ad6;
k01[367] = 32'hbc748aa3;
k01[368] = 32'hbc518a70;
k01[369] = 32'hbc2e8a3d;
k01[370] = 32'hbc0c8a0b;
k01[371] = 32'hbbe989d8;
k01[372] = 32'hbbc789a5;
k01[373] = 32'hbba48973;
k01[374] = 32'hbb828941;
k01[375] = 32'hbb60890f;
k01[376] = 32'hbb3d88dc;
k01[377] = 32'hbb1b88aa;
k01[378] = 32'hbaf98879;
k01[379] = 32'hbad78847;
k01[380] = 32'hbab58815;
k01[381] = 32'hba9387e4;
k01[382] = 32'hba7187b2;
k01[383] = 32'hba4f8781;
k01[384] = 32'hba2d8750;
k01[385] = 32'hba0b871e;
k01[386] = 32'hb9e986ed;
k01[387] = 32'hb9c886bc;
k01[388] = 32'hb9a6868c;
k01[389] = 32'hb984865b;
k01[390] = 32'hb963862a;
k01[391] = 32'hb94185fa;
k01[392] = 32'hb92085c9;
k01[393] = 32'hb8fe8599;
k01[394] = 32'hb8dd8569;
k01[395] = 32'hb8bc8539;
k01[396] = 32'hb89a8509;
k01[397] = 32'hb87984d9;
k01[398] = 32'hb85884a9;
k01[399] = 32'hb8378479;
k01[400] = 32'hb816844a;
k01[401] = 32'hb7f4841a;
k01[402] = 32'hb7d383eb;
k01[403] = 32'hb7b283bc;
k01[404] = 32'hb791838c;
k01[405] = 32'hb771835d;
k01[406] = 32'hb750832e;
k01[407] = 32'hb72f82ff;
k01[408] = 32'hb70e82d1;
k01[409] = 32'hb6ee82a2;
k01[410] = 32'hb6cd8273;
k01[411] = 32'hb6ac8245;
k01[412] = 32'hb68c8216;
k01[413] = 32'hb66b81e8;
k01[414] = 32'hb64b81ba;
k01[415] = 32'hb62a818c;
k01[416] = 32'hb60a815e;
k01[417] = 32'hb5ea8130;
k01[418] = 32'hb5c98102;
k01[419] = 32'hb5a980d4;
k01[420] = 32'hb58980a7;
k01[421] = 32'hb5698079;
k01[422] = 32'hb548804c;
k01[423] = 32'hb528801e;
k01[424] = 32'hb5087ff1;
k01[425] = 32'hb4e87fc4;
k01[426] = 32'hb4c87f97;
k01[427] = 32'hb4a97f6a;
k01[428] = 32'hb4897f3d;
k01[429] = 32'hb4697f10;
k01[430] = 32'hb4497ee3;
k01[431] = 32'hb4297eb7;
k01[432] = 32'hb40a7e8a;
k01[433] = 32'hb3ea7e5e;
k01[434] = 32'hb3cb7e31;
k01[435] = 32'hb3ab7e05;
k01[436] = 32'hb38b7dd9;
k01[437] = 32'hb36c7dad;
k01[438] = 32'hb34d7d81;
k01[439] = 32'hb32d7d55;
k01[440] = 32'hb30e7d29;
k01[441] = 32'hb2ef7cfd;
k01[442] = 32'hb2cf7cd2;
k01[443] = 32'hb2b07ca6;
k01[444] = 32'hb2917c7b;
k01[445] = 32'hb2727c4f;
k01[446] = 32'hb2537c24;
k01[447] = 32'hb2347bf9;
k01[448] = 32'hb2157bce;
k01[449] = 32'hb1f67ba3;
k01[450] = 32'hb1d77b78;
k01[451] = 32'hb1b87b4d;
k01[452] = 32'hb1997b22;
k01[453] = 32'hb17a7af8;
k01[454] = 32'hb15c7acd;
k01[455] = 32'hb13d7aa3;
k01[456] = 32'hb11e7a78;
k01[457] = 32'hb1007a4e;
k01[458] = 32'hb0e17a24;
k01[459] = 32'hb0c379fa;
k01[460] = 32'hb0a479d0;
k01[461] = 32'hb08679a6;
k01[462] = 32'hb067797c;
k01[463] = 32'hb0497952;
k01[464] = 32'hb02b7928;
k01[465] = 32'hb00c78ff;
k01[466] = 32'hafee78d5;
k01[467] = 32'hafd078ac;
k01[468] = 32'hafb27882;
k01[469] = 32'haf937859;
k01[470] = 32'haf757830;
k01[471] = 32'haf577807;
k01[472] = 32'haf3977de;
k01[473] = 32'haf1b77b5;
k01[474] = 32'haefd778c;
k01[475] = 32'haee07763;
k01[476] = 32'haec2773a;
k01[477] = 32'haea47712;
k01[478] = 32'hae8676e9;
k01[479] = 32'hae6876c0;
k01[480] = 32'hae4b7698;
k01[481] = 32'hae2d7670;
k01[482] = 32'hae0f7648;
k01[483] = 32'hadf2761f;
k01[484] = 32'hadd475f7;
k01[485] = 32'hadb775cf;
k01[486] = 32'had9975a7;
k01[487] = 32'had7c7580;
k01[488] = 32'had5f7558;
k01[489] = 32'had417530;
k01[490] = 32'had247508;
k01[491] = 32'had0774e1;
k01[492] = 32'hacea74b9;
k01[493] = 32'haccc7492;
k01[494] = 32'hacaf746b;
k01[495] = 32'hac927444;
k01[496] = 32'hac75741c;
k01[497] = 32'hac5873f5;
k01[498] = 32'hac3b73ce;
k01[499] = 32'hac1e73a8;
k01[500] = 32'hac017381;
k01[501] = 32'habe4735a;
k01[502] = 32'habc77333;
k01[503] = 32'habab730d;
k01[504] = 32'hab8e72e6;
k01[505] = 32'hab7172c0;
k01[506] = 32'hab547299;
k01[507] = 32'hab387273;
k01[508] = 32'hab1b724d;
k01[509] = 32'haaff7227;
k01[510] = 32'haae27201;
k01[511] = 32'haac671db;
k01[512] = 32'haaa971b5;
k01[513] = 32'haa8d718f;
k01[514] = 32'haa707169;
k01[515] = 32'haa547143;
k01[516] = 32'haa38711e;
k01[517] = 32'haa1b70f8;
k01[518] = 32'ha9ff70d3;
k01[519] = 32'ha9e370ad;
k01[520] = 32'ha9c77088;
k01[521] = 32'ha9ab7063;
k01[522] = 32'ha98f703d;
k01[523] = 32'ha9727018;
k01[524] = 32'ha9566ff3;
k01[525] = 32'ha93a6fce;
k01[526] = 32'ha91f6fa9;
k01[527] = 32'ha9036f85;
k01[528] = 32'ha8e76f60;
k01[529] = 32'ha8cb6f3b;
k01[530] = 32'ha8af6f16;
k01[531] = 32'ha8936ef2;
k01[532] = 32'ha8786ecd;
k01[533] = 32'ha85c6ea9;
k01[534] = 32'ha8406e85;
k01[535] = 32'ha8256e60;
k01[536] = 32'ha8096e3c;
k01[537] = 32'ha7ed6e18;
k01[538] = 32'ha7d26df4;
k01[539] = 32'ha7b66dd0;
k01[540] = 32'ha79b6dac;
k01[541] = 32'ha7806d88;
k01[542] = 32'ha7646d64;
k01[543] = 32'ha7496d41;
k01[544] = 32'ha72e6d1d;
k01[545] = 32'ha7126cf9;
k01[546] = 32'ha6f76cd6;
k01[547] = 32'ha6dc6cb3;
k01[548] = 32'ha6c16c8f;
k01[549] = 32'ha6a56c6c;
k01[550] = 32'ha68a6c49;
k01[551] = 32'ha66f6c25;
k01[552] = 32'ha6546c02;
k01[553] = 32'ha6396bdf;
k01[554] = 32'ha61e6bbc;
k01[555] = 32'ha6036b99;
k01[556] = 32'ha5e86b77;
k01[557] = 32'ha5ce6b54;
k01[558] = 32'ha5b36b31;
k01[559] = 32'ha5986b0e;
k01[560] = 32'ha57d6aec;
k01[561] = 32'ha5626ac9;
k01[562] = 32'ha5486aa7;
k01[563] = 32'ha52d6a84;
k01[564] = 32'ha5126a62;
k01[565] = 32'ha4f86a40;
k01[566] = 32'ha4dd6a1e;
k01[567] = 32'ha4c369fc;
k01[568] = 32'ha4a869d9;
k01[569] = 32'ha48e69b7;
k01[570] = 32'ha4736996;
k01[571] = 32'ha4596974;
k01[572] = 32'ha43f6952;
k01[573] = 32'ha4246930;
k01[574] = 32'ha40a690e;
k01[575] = 32'ha3f068ed;
k01[576] = 32'ha3d668cb;
k01[577] = 32'ha3bb68aa;
k01[578] = 32'ha3a16888;
k01[579] = 32'ha3876867;
k01[580] = 32'ha36d6846;
k01[581] = 32'ha3536824;
k01[582] = 32'ha3396803;
k01[583] = 32'ha31f67e2;
k01[584] = 32'ha30567c1;
k01[585] = 32'ha2eb67a0;
k01[586] = 32'ha2d1677f;
k01[587] = 32'ha2b7675e;
k01[588] = 32'ha29d673d;
k01[589] = 32'ha283671d;
k01[590] = 32'ha26a66fc;
k01[591] = 32'ha25066db;
k01[592] = 32'ha23666bb;
k01[593] = 32'ha21d669a;
k01[594] = 32'ha203667a;
k01[595] = 32'ha1e9665a;
k01[596] = 32'ha1d06639;
k01[597] = 32'ha1b66619;
k01[598] = 32'ha19d65f9;
k01[599] = 32'ha18365d9;
k01[600] = 32'ha16a65b8;
k01[601] = 32'ha1506598;
k01[602] = 32'ha1376578;
k01[603] = 32'ha11d6559;
k01[604] = 32'ha1046539;
k01[605] = 32'ha0eb6519;
k01[606] = 32'ha0d264f9;
k01[607] = 32'ha0b864d9;
k01[608] = 32'ha09f64ba;
k01[609] = 32'ha086649a;
k01[610] = 32'ha06d647b;
k01[611] = 32'ha054645b;
k01[612] = 32'ha03b643c;
k01[613] = 32'ha022641d;
k01[614] = 32'ha00863fd;
k01[615] = 32'h9ff063de;
k01[616] = 32'h9fd763bf;
k01[617] = 32'h9fbe63a0;
k01[618] = 32'h9fa56381;
k01[619] = 32'h9f8c6362;
k01[620] = 32'h9f736343;
k01[621] = 32'h9f5a6324;
k01[622] = 32'h9f416305;
k01[623] = 32'h9f2962e6;
k01[624] = 32'h9f1062c8;
k01[625] = 32'h9ef762a9;
k01[626] = 32'h9edf628b;
k01[627] = 32'h9ec6626c;
k01[628] = 32'h9ead624e;
k01[629] = 32'h9e95622f;
k01[630] = 32'h9e7c6211;
k01[631] = 32'h9e6461f2;
k01[632] = 32'h9e4b61d4;
k01[633] = 32'h9e3361b6;
k01[634] = 32'h9e1a6198;
k01[635] = 32'h9e02617a;
k01[636] = 32'h9dea615c;
k01[637] = 32'h9dd1613e;
k01[638] = 32'h9db96120;
k01[639] = 32'h9da16102;
k01[640] = 32'h9d8860e4;
k01[641] = 32'h9d7060c6;
k01[642] = 32'h9d5860a8;
k01[643] = 32'h9d40608b;
k01[644] = 32'h9d28606d;
k01[645] = 32'h9d106050;
k01[646] = 32'h9cf76032;
k01[647] = 32'h9cdf6015;
k01[648] = 32'h9cc75ff7;
k01[649] = 32'h9caf5fda;
k01[650] = 32'h9c975fbd;
k01[651] = 32'h9c7f5f9f;
k01[652] = 32'h9c685f82;
k01[653] = 32'h9c505f65;
k01[654] = 32'h9c385f48;
k01[655] = 32'h9c205f2b;
k01[656] = 32'h9c085f0e;
k01[657] = 32'h9bf05ef1;
k01[658] = 32'h9bd95ed4;
k01[659] = 32'h9bc15eb7;
k01[660] = 32'h9ba95e9a;
k01[661] = 32'h9b925e7e;
k01[662] = 32'h9b7a5e61;
k01[663] = 32'h9b625e44;
k01[664] = 32'h9b4b5e28;
k01[665] = 32'h9b335e0b;
k01[666] = 32'h9b1c5def;
k01[667] = 32'h9b045dd2;
k01[668] = 32'h9aed5db6;
k01[669] = 32'h9ad65d9a;
k01[670] = 32'h9abe5d7d;
k01[671] = 32'h9aa75d61;
k01[672] = 32'h9a8f5d45;
k01[673] = 32'h9a785d29;
k01[674] = 32'h9a615d0d;
k01[675] = 32'h9a4a5cf1;
k01[676] = 32'h9a325cd5;
k01[677] = 32'h9a1b5cb9;
k01[678] = 32'h9a045c9d;
k01[679] = 32'h99ed5c81;
k01[680] = 32'h99d65c65;
k01[681] = 32'h99bf5c4a;
k01[682] = 32'h99a75c2e;
k01[683] = 32'h99905c12;
k01[684] = 32'h99795bf7;
k01[685] = 32'h99625bdb;
k01[686] = 32'h994b5bc0;
k01[687] = 32'h99355ba4;
k01[688] = 32'h991e5b89;
k01[689] = 32'h99075b6e;
k01[690] = 32'h98f05b52;
k01[691] = 32'h98d95b37;
k01[692] = 32'h98c25b1c;
k01[693] = 32'h98ab5b01;
k01[694] = 32'h98955ae6;
k01[695] = 32'h987e5acb;
k01[696] = 32'h98675ab0;
k01[697] = 32'h98515a95;
k01[698] = 32'h983a5a7a;
k01[699] = 32'h98235a5f;
k01[700] = 32'h980d5a44;
k01[701] = 32'h97f65a29;
k01[702] = 32'h97e05a0f;
k01[703] = 32'h97c959f4;
k01[704] = 32'h97b359d9;
k01[705] = 32'h979c59bf;
k01[706] = 32'h978659a4;
k01[707] = 32'h976f598a;
k01[708] = 32'h9759596f;
k01[709] = 32'h97435955;
k01[710] = 32'h972c593a;
k01[711] = 32'h97165920;
k01[712] = 32'h97005906;
k01[713] = 32'h96e958ec;
k01[714] = 32'h96d358d1;
k01[715] = 32'h96bd58b7;
k01[716] = 32'h96a7589d;
k01[717] = 32'h96915883;
k01[718] = 32'h967b5869;
k01[719] = 32'h9664584f;
k01[720] = 32'h964e5835;
k01[721] = 32'h9638581b;
k01[722] = 32'h96225802;
k01[723] = 32'h960c57e8;
k01[724] = 32'h95f657ce;
k01[725] = 32'h95e057b4;
k01[726] = 32'h95ca579b;
k01[727] = 32'h95b55781;
k01[728] = 32'h959f5768;
k01[729] = 32'h9589574e;
k01[730] = 32'h95735735;
k01[731] = 32'h955d571b;
k01[732] = 32'h95475702;
k01[733] = 32'h953256e8;
k01[734] = 32'h951c56cf;
k01[735] = 32'h950656b6;
k01[736] = 32'h94f1569d;
k01[737] = 32'h94db5683;
k01[738] = 32'h94c5566a;
k01[739] = 32'h94b05651;
k01[740] = 32'h949a5638;
k01[741] = 32'h9485561f;
k01[742] = 32'h946f5606;
k01[743] = 32'h945955ed;
k01[744] = 32'h944455d5;
k01[745] = 32'h942f55bc;
k01[746] = 32'h941955a3;
k01[747] = 32'h9404558a;
k01[748] = 32'h93ee5571;
k01[749] = 32'h93d95559;
k01[750] = 32'h93c45540;
k01[751] = 32'h93ae5528;
k01[752] = 32'h9399550f;
k01[753] = 32'h938454f7;
k01[754] = 32'h936f54de;
k01[755] = 32'h935954c6;
k01[756] = 32'h934454ad;
k01[757] = 32'h932f5495;
k01[758] = 32'h931a547d;
k01[759] = 32'h93055464;
k01[760] = 32'h92f0544c;
k01[761] = 32'h92da5434;
k01[762] = 32'h92c5541c;
k01[763] = 32'h92b05404;
k01[764] = 32'h929b53ec;
k01[765] = 32'h928653d4;
k01[766] = 32'h927153bc;
k01[767] = 32'h925d53a4;
k01[768] = 32'h9248538c;
k01[769] = 32'h92335374;
k01[770] = 32'h921e535c;
k01[771] = 32'h92095345;
k01[772] = 32'h91f4532d;
k01[773] = 32'h91df5315;
k01[774] = 32'h91cb52fe;
k01[775] = 32'h91b652e6;
k01[776] = 32'h91a152ce;
k01[777] = 32'h918c52b7;
k01[778] = 32'h9178529f;
k01[779] = 32'h91635288;
k01[780] = 32'h914f5271;
k01[781] = 32'h913a5259;
k01[782] = 32'h91255242;
k01[783] = 32'h9111522b;
k01[784] = 32'h90fc5213;
k01[785] = 32'h90e851fc;
k01[786] = 32'h90d351e5;
k01[787] = 32'h90bf51ce;
k01[788] = 32'h90aa51b7;
k01[789] = 32'h909651a0;
k01[790] = 32'h90815189;
k01[791] = 32'h906d5172;
k01[792] = 32'h9059515b;
k01[793] = 32'h90445144;
k01[794] = 32'h9030512d;
k01[795] = 32'h901c5116;
k01[796] = 32'h900750ff;
k01[797] = 32'h8ff350e8;
k01[798] = 32'h8fdf50d2;
k01[799] = 32'h8fcb50bb;
k01[800] = 32'h8fb750a4;
k01[801] = 32'h8fa2508e;
k01[802] = 32'h8f8e5077;
k01[803] = 32'h8f7a5061;
k01[804] = 32'h8f66504a;
k01[805] = 32'h8f525034;
k01[806] = 32'h8f3e501d;
k01[807] = 32'h8f2a5007;
k01[808] = 32'h8f164ff1;
k01[809] = 32'h8f024fda;
k01[810] = 32'h8eee4fc4;
k01[811] = 32'h8eda4fae;
k01[812] = 32'h8ec64f98;
k01[813] = 32'h8eb24f81;
k01[814] = 32'h8e9e4f6b;
k01[815] = 32'h8e8b4f55;
k01[816] = 32'h8e774f3f;
k01[817] = 32'h8e634f29;
k01[818] = 32'h8e4f4f13;
k01[819] = 32'h8e3b4efd;
k01[820] = 32'h8e284ee7;
k01[821] = 32'h8e144ed1;
k01[822] = 32'h8e004ebb;
k01[823] = 32'h8dec4ea6;
k01[824] = 32'h8dd94e90;
k01[825] = 32'h8dc54e7a;
k01[826] = 32'h8db24e64;
k01[827] = 32'h8d9e4e4f;
k01[828] = 32'h8d8a4e39;
k01[829] = 32'h8d774e23;
k01[830] = 32'h8d634e0e;
k01[831] = 32'h8d504df8;
k01[832] = 32'h8d3c4de3;
k01[833] = 32'h8d294dcd;
k01[834] = 32'h8d154db8;
k01[835] = 32'h8d024da3;
k01[836] = 32'h8cef4d8d;
k01[837] = 32'h8cdb4d78;
k01[838] = 32'h8cc84d63;
k01[839] = 32'h8cb44d4d;
k01[840] = 32'h8ca14d38;
k01[841] = 32'h8c8e4d23;
k01[842] = 32'h8c7b4d0e;
k01[843] = 32'h8c674cf9;
k01[844] = 32'h8c544ce4;
k01[845] = 32'h8c414ccf;
k01[846] = 32'h8c2e4cba;
k01[847] = 32'h8c1a4ca5;
k01[848] = 32'h8c074c90;
k01[849] = 32'h8bf44c7b;
k01[850] = 32'h8be14c66;
k01[851] = 32'h8bce4c51;
k01[852] = 32'h8bbb4c3c;
k01[853] = 32'h8ba84c27;
k01[854] = 32'h8b954c13;
k01[855] = 32'h8b824bfe;
k01[856] = 32'h8b6f4be9;
k01[857] = 32'h8b5c4bd5;
k01[858] = 32'h8b494bc0;
k01[859] = 32'h8b364bab;
k01[860] = 32'h8b234b97;
k01[861] = 32'h8b104b82;
k01[862] = 32'h8afd4b6e;
k01[863] = 32'h8aea4b59;
k01[864] = 32'h8ad74b45;
k01[865] = 32'h8ac54b31;
k01[866] = 32'h8ab24b1c;
k01[867] = 32'h8a9f4b08;
k01[868] = 32'h8a8c4af4;
k01[869] = 32'h8a7a4adf;
k01[870] = 32'h8a674acb;
k01[871] = 32'h8a544ab7;
k01[872] = 32'h8a414aa3;
k01[873] = 32'h8a2f4a8f;
k01[874] = 32'h8a1c4a7a;
k01[875] = 32'h8a0a4a66;
k01[876] = 32'h89f74a52;
k01[877] = 32'h89e44a3e;
k01[878] = 32'h89d24a2a;
k01[879] = 32'h89bf4a16;
k01[880] = 32'h89ad4a03;
k01[881] = 32'h899a49ef;
k01[882] = 32'h898849db;
k01[883] = 32'h897549c7;
k01[884] = 32'h896349b3;
k01[885] = 32'h8950499f;
k01[886] = 32'h893e498c;
k01[887] = 32'h892c4978;
k01[888] = 32'h89194964;
k01[889] = 32'h89074951;
k01[890] = 32'h88f5493d;
k01[891] = 32'h88e2492a;
k01[892] = 32'h88d04916;
k01[893] = 32'h88be4902;
k01[894] = 32'h88ab48ef;
k01[895] = 32'h889948dc;
k01[896] = 32'h888748c8;
k01[897] = 32'h887548b5;
k01[898] = 32'h886348a1;
k01[899] = 32'h8851488e;
k01[900] = 32'h883e487b;
k01[901] = 32'h882c4868;
k01[902] = 32'h881a4854;
k01[903] = 32'h88084841;
k01[904] = 32'h87f6482e;
k01[905] = 32'h87e4481b;
k01[906] = 32'h87d24808;
k01[907] = 32'h87c047f5;
k01[908] = 32'h87ae47e1;
k01[909] = 32'h879c47ce;
k01[910] = 32'h878a47bb;
k01[911] = 32'h877847a8;
k01[912] = 32'h87664796;
k01[913] = 32'h87544783;
k01[914] = 32'h87424770;
k01[915] = 32'h8731475d;
k01[916] = 32'h871f474a;
k01[917] = 32'h870d4737;
k01[918] = 32'h86fb4725;
k01[919] = 32'h86e94712;
k01[920] = 32'h86d846ff;
k01[921] = 32'h86c646ec;
k01[922] = 32'h86b446da;
k01[923] = 32'h86a246c7;
k01[924] = 32'h869146b5;
k01[925] = 32'h867f46a2;
k01[926] = 32'h866d468f;
k01[927] = 32'h865c467d;
k01[928] = 32'h864a466a;
k01[929] = 32'h86384658;
k01[930] = 32'h86274646;
k01[931] = 32'h86154633;
k01[932] = 32'h86044621;
k01[933] = 32'h85f2460e;
k01[934] = 32'h85e145fc;
k01[935] = 32'h85cf45ea;
k01[936] = 32'h85be45d8;
k01[937] = 32'h85ac45c5;
k01[938] = 32'h859b45b3;
k01[939] = 32'h858945a1;
k01[940] = 32'h8578458f;
k01[941] = 32'h8567457d;
k01[942] = 32'h8555456b;
k01[943] = 32'h85444559;
k01[944] = 32'h85334547;
k01[945] = 32'h85214535;
k01[946] = 32'h85104523;
k01[947] = 32'h84ff4511;
k01[948] = 32'h84ed44ff;
k01[949] = 32'h84dc44ed;
k01[950] = 32'h84cb44db;
k01[951] = 32'h84ba44c9;
k01[952] = 32'h84a844b7;
k01[953] = 32'h849744a6;
k01[954] = 32'h84864494;
k01[955] = 32'h84754482;
k01[956] = 32'h84644470;
k01[957] = 32'h8453445f;
k01[958] = 32'h8442444d;
k01[959] = 32'h8431443b;
k01[960] = 32'h8420442a;
k01[961] = 32'h840e4418;
k01[962] = 32'h83fd4407;
k01[963] = 32'h83ec43f5;
k01[964] = 32'h83db43e4;
k01[965] = 32'h83ca43d2;
k01[966] = 32'h83ba43c1;
k01[967] = 32'h83a943af;
k01[968] = 32'h8398439e;
k01[969] = 32'h8387438d;
k01[970] = 32'h8376437b;
k01[971] = 32'h8365436a;
k01[972] = 32'h83544359;
k01[973] = 32'h83434347;
k01[974] = 32'h83334336;
k01[975] = 32'h83224325;
k01[976] = 32'h83114314;
k01[977] = 32'h83004303;
k01[978] = 32'h82ef42f2;
k01[979] = 32'h82df42e0;
k01[980] = 32'h82ce42cf;
k01[981] = 32'h82bd42be;
k01[982] = 32'h82ad42ad;
k01[983] = 32'h829c429c;
k01[984] = 32'h828b428b;
k01[985] = 32'h827b427a;
k01[986] = 32'h826a4269;
k01[987] = 32'h82594258;
k01[988] = 32'h82494248;
k01[989] = 32'h82384237;
k01[990] = 32'h82284226;
k01[991] = 32'h82174215;
k01[992] = 32'h82074204;
k01[993] = 32'h81f641f4;
k01[994] = 32'h81e641e3;
k01[995] = 32'h81d541d2;
k01[996] = 32'h81c541c2;
k01[997] = 32'h81b441b1;
k01[998] = 32'h81a441a0;
k01[999] = 32'h81934190;
k01[1000] = 32'h8183417f;
k01[1001] = 32'h8173416f;
k01[1002] = 32'h8162415e;
k01[1003] = 32'h8152414d;
k01[1004] = 32'h8142413d;
k01[1005] = 32'h8131412d;
k01[1006] = 32'h8121411c;
k01[1007] = 32'h8111410c;
k01[1008] = 32'h810140fb;
k01[1009] = 32'h80f040eb;
k01[1010] = 32'h80e040db;
k01[1011] = 32'h80d040ca;
k01[1012] = 32'h80c040ba;
k01[1013] = 32'h80af40aa;
k01[1014] = 32'h809f409a;
k01[1015] = 32'h808f4089;
k01[1016] = 32'h807f4079;
k01[1017] = 32'h806f4069;
k01[1018] = 32'h805f4059;
k01[1019] = 32'h804f4049;
k01[1020] = 32'h803f4039;
k01[1021] = 32'h802f4029;
k01[1022] = 32'h801f4019;
k01[1023] = 32'h800f4009;
end
 
wire sa;
wire [EMSB:0] xa;
wire [FMSB:0] ma;
fpDecomp #(FPWID) u1 (.i(a), .sgn(sa), .exp(xa), .man(ma), .fract(), .xz(), .vz(), .xinf(), .inf(), .nan() );
 
wire [EMSB+1:0] bias = {1'b0,{EMSB{1'b1}}};
wire [EMSB+1:0] x1 = xa - bias;
wire [EMSB:0] exp = bias - x1 - 2'd1; // make exponent negative
wire sa3;
wire [EMSB:0] exp3;
wire [9:0] index = ma[FMSB:FMSB-9];
reg [9:0] indexr;
reg [15:0] k0, k1;
always @(posedge clk)
if(ce) indexr <= index;
always @(posedge clk)
if(ce) k0 <= k01[indexr][31:16];
always @(posedge clk)
if(ce) k1 <= k01[indexr][15: 0];
delay3 #(1) u2 (.clk(clk), .ce(1'b1), .i(sa), .o(sa3));
delay3 #(EMSB+1) u3 (.clk(clk), .ce(1'b1), .i(exp), .o(exp3));
wire [15:0] eps = ma[FMSB-10:FMSB-10-15];
wire [31:0] p = k1 * eps;
reg [15:0] r0;
always @(posedge clk)
if(ce) r0 <= k0 - (p >> 26);
assign o = {sa3,exp3,r0[14:0],{FMSB+2-16{1'b0}}};
 
always @*
if (FPWID < 48) begin
$display("Reciprocal estimate needs at least 48 bit floats.");
$stop;
end
 
endmodule
 
/verilog2/fpRound.v
0,0 → 1,181
// ============================================================================
// __
// \\__/ o\ (C) 2006-2019 Robert Finch, Waterloo
// \ __ / All rights reserved.
// \/_// robfinch<remove>@finitron.ca
// ||
//
// fpRound.v
// - floating point rounding unit
// - parameterized FPWIDth
// - IEEE 754 representation
//
//
// 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"
 
module fpRound(clk, ce, rm, i, o);
parameter FPWID = 128;
`include "fpSize.sv"
input clk;
input ce;
input [2:0] rm; // rounding mode
input [MSB+3:0] i; // intermediate format input
output [MSB:0] o; // rounded output
 
//------------------------------------------------------------
// variables
wire so;
wire [EMSB:0] xo;
reg [FMSB:0] mo;
reg [EMSB:0] xo1;
reg [FMSB+3:0] mo1;
wire xInf = &i[MSB+2:FMSB+4];
wire so0 = i[MSB+3];
assign o = {so,xo,mo};
 
wire g = i[2]; // guard bit: always the same bit for all operations
wire r = i[1]; // rounding bit
wire s = i[0]; // sticky bit
reg rnd;
 
//------------------------------------------------------------
// Clock #1
// - determine round amount (add 1 or 0)
//------------------------------------------------------------
 
`ifdef MIN_LATENCY
always @*
`else
always @(posedge clk)
`endif
if (ce) xo1 <= i[MSB+2:FMSB+4];
`ifdef MIN_LATENCY
always @*
`else
always @(posedge clk)
`endif
if (ce) mo1 <= i[FMSB+3:0];
 
// Compute the round bit
// Infinities and NaNs are not rounded!
`ifdef MIN_LATENCY
always @*
`else
always @(posedge clk)
`endif
if (ce)
casez ({xInf,rm})
4'b0000: rnd <= (g & r) | (r & s); // round to nearest even
4'b0001: rnd <= 1'd0; // round to zero (truncate)
4'b0010: rnd <= (r | s) & !so0; // round towards +infinity
4'b0011: rnd <= (r | s) & so0; // round towards -infinity
4'b0100: rnd <= (r | s); // round to nearest away from zero
4'b1???: rnd <= 1'd0; // no rounding if exponent indicates infinite or NaN
default: rnd <= 0;
endcase
 
//------------------------------------------------------------
// Clock #2
// round the number, check for carry
// note: inf. exponent checked above (if the exponent was infinite already, then no rounding occurs as rnd = 0)
// note: exponent increments if there is a carry (can only increment to infinity)
//------------------------------------------------------------
 
reg [MSB:0] rounded2;
reg carry2;
reg rnd2;
reg dn2;
wire [EMSB:0] xo2;
wire [MSB:0] rounded1 = {xo1,mo1[FMSB+3:2]} + rnd;
`ifdef MIN_LATENCY
always @*
`else
always @(posedge clk)
`endif
if (ce) rounded2 <= rounded1;
`ifdef MIN_LATENCY
always @*
`else
always @(posedge clk)
`endif
if (ce) carry2 <= mo1[FMSB+3] & !rounded1[FMSB+1];
`ifdef MIN_LATENCY
always @*
`else
always @(posedge clk)
`endif
if (ce) rnd2 <= rnd;
`ifdef MIN_LATENCY
always @*
`else
always @(posedge clk)
`endif
if (ce) dn2 <= !(|xo1);
assign xo2 = rounded2[MSB:FMSB+2];
 
//------------------------------------------------------------
// Clock #3
// - shift mantissa if required.
//------------------------------------------------------------
`ifdef MIN_LATENCY
assign so = i[MSB+3];
assign xo = xo2;
`else
delay3 #(1) u21 (.clk(clk), .ce(ce), .i(i[MSB+3]), .o(so));
delay1 #(EMSB+1) u22 (.clk(clk), .ce(ce), .i(xo2), .o(xo));
`endif
 
`ifdef MIN_LATENCY
always @*
`else
always @(posedge clk)
`endif
casez({rnd2,&xo2,carry2,dn2})
4'b0??0: mo <= mo1[FMSB+2:2]; // not rounding, not denormalized, => hide MSB
4'b0??1: mo <= mo1[FMSB+3:3]; // not rounding, denormalized
4'b1000: mo <= rounded2[FMSB :0]; // exponent didn't change, number was normalized, => hide MSB,
4'b1001: mo <= rounded2[FMSB+1:1]; // exponent didn't change, but number was denormalized, => retain MSB
4'b1010: mo <= rounded2[FMSB+1:1]; // exponent incremented (new MSB generated), number was normalized, => hide 'extra (FMSB+2)' MSB
4'b1011: mo <= rounded2[FMSB+1:1]; // exponent incremented (new MSB generated), number was denormalized, number became normalized, => hide 'extra (FMSB+2)' MSB
4'b11??: mo <= 1'd0; // number became infinite, no need to check carry etc., rnd would be zero if input was NaN or infinite
endcase
 
endmodule
 
 
// Round and register the output
/*
module fpRoundReg(clk, ce, rm, i, o);
parameter FPWID = 128;
`include "fpSize.sv"
 
input clk;
input ce;
input [2:0] rm; // rounding mode
input [MSB+3:0] i; // expanded format input
output reg [FPWID-1:0] o; // rounded output
 
wire [FPWID-1:0] o1;
fpRound #(FPWID) u1 (.rm(rm), .i(i), .o(o1) );
 
always @(posedge clk)
if (ce)
o <= o1;
 
endmodule
*/
/verilog2/fpRsqrte.sv
0,0 → 1,8462
// ============================================================================
// __
// \\__/ 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[2014] = 16'hdd4c;
RsqrteLUT[2015] = 16'hdd48;
RsqrteLUT[2016] = 16'hdd44;
RsqrteLUT[2017] = 16'hdd3f;
RsqrteLUT[2018] = 16'hdd3b;
RsqrteLUT[2019] = 16'hdd37;
RsqrteLUT[2020] = 16'hdd33;
RsqrteLUT[2021] = 16'hdd2f;
RsqrteLUT[2022] = 16'hdd2b;
RsqrteLUT[2023] = 16'hdd27;
RsqrteLUT[2024] = 16'hdd23;
RsqrteLUT[2025] = 16'hdd1f;
RsqrteLUT[2026] = 16'hdd1b;
RsqrteLUT[2027] = 16'hdd17;
RsqrteLUT[2028] = 16'hdd14;
RsqrteLUT[2029] = 16'hdd10;
RsqrteLUT[2030] = 16'hdd0d;
RsqrteLUT[2031] = 16'hdd09;
RsqrteLUT[2032] = 16'hdd06;
RsqrteLUT[2033] = 16'hdd02;
RsqrteLUT[2034] = 16'hdcff;
RsqrteLUT[2035] = 16'hdcfb;
RsqrteLUT[2036] = 16'hdcf8;
RsqrteLUT[2037] = 16'hdcf5;
RsqrteLUT[2038] = 16'hdcf2;
RsqrteLUT[2039] = 16'hdcee;
RsqrteLUT[2040] = 16'hdceb;
RsqrteLUT[2041] = 16'hdce8;
RsqrteLUT[2042] = 16'hdce5;
RsqrteLUT[2043] = 16'hdce2;
RsqrteLUT[2044] = 16'hdcdf;
RsqrteLUT[2045] = 16'hdcdc;
RsqrteLUT[2046] = 16'hdcd9;
RsqrteLUT[2047] = 16'hdcd6;
RsqrteLUT[2048] = 16'hdcd4;
RsqrteLUT[2049] = 16'hdcce;
RsqrteLUT[2050] = 16'hdcc9;
RsqrteLUT[2051] = 16'hdcc3;
RsqrteLUT[2052] = 16'hdcbe;
RsqrteLUT[2053] = 16'hdcb9;
RsqrteLUT[2054] = 16'hdcb4;
RsqrteLUT[2055] = 16'hdcaf;
RsqrteLUT[2056] = 16'hdcaa;
RsqrteLUT[2057] = 16'hdca5;
RsqrteLUT[2058] = 16'hdca1;
RsqrteLUT[2059] = 16'hdc9c;
RsqrteLUT[2060] = 16'hdc98;
RsqrteLUT[2061] = 16'hdc94;
RsqrteLUT[2062] = 16'hdc8f;
RsqrteLUT[2063] = 16'hdc8b;
RsqrteLUT[2064] = 16'hdc87;
RsqrteLUT[2065] = 16'hdc83;
RsqrteLUT[2066] = 16'hdc7f;
RsqrteLUT[2067] = 16'hdc7b;
RsqrteLUT[2068] = 16'hdc78;
RsqrteLUT[2069] = 16'hdc74;
RsqrteLUT[2070] = 16'hdc70;
RsqrteLUT[2071] = 16'hdc6d;
RsqrteLUT[2072] = 16'hdc69;
RsqrteLUT[2073] = 16'hdc66;
RsqrteLUT[2074] = 16'hdc62;
RsqrteLUT[2075] = 16'hdc5f;
RsqrteLUT[2076] = 16'hdc5b;
RsqrteLUT[2077] = 16'hdc58;
RsqrteLUT[2078] = 16'hdc55;
RsqrteLUT[2079] = 16'hdc52;
RsqrteLUT[2080] = 16'hdc4f;
RsqrteLUT[2081] = 16'hdc4c;
RsqrteLUT[2082] = 16'hdc49;
RsqrteLUT[2083] = 16'hdc46;
RsqrteLUT[2084] = 16'hdc43;
RsqrteLUT[2085] = 16'hdc40;
RsqrteLUT[2086] = 16'hdc3d;
RsqrteLUT[2087] = 16'hdc3a;
RsqrteLUT[2088] = 16'hdc38;
RsqrteLUT[2089] = 16'hdc35;
RsqrteLUT[2090] = 16'hdc32;
RsqrteLUT[2091] = 16'hdc2f;
RsqrteLUT[2092] = 16'hdc2d;
RsqrteLUT[2093] = 16'hdc2a;
RsqrteLUT[2094] = 16'hdc28;
RsqrteLUT[2095] = 16'hdc25;
RsqrteLUT[2096] = 16'hdc23;
RsqrteLUT[2097] = 16'hdc20;
RsqrteLUT[2098] = 16'hdc1e;
RsqrteLUT[2099] = 16'hdc1c;
RsqrteLUT[2100] = 16'hdc19;
RsqrteLUT[2101] = 16'hdc17;
RsqrteLUT[2102] = 16'hdc15;
RsqrteLUT[2103] = 16'hdc13;
RsqrteLUT[2104] = 16'hdc10;
RsqrteLUT[2105] = 16'hdc0e;
RsqrteLUT[2106] = 16'hdc0c;
RsqrteLUT[2107] = 16'hdc0a;
RsqrteLUT[2108] = 16'hdc08;
RsqrteLUT[2109] = 16'hdc06;
RsqrteLUT[2110] = 16'hdc04;
RsqrteLUT[2111] = 16'hdc02;
RsqrteLUT[2112] = 16'hdc00;
RsqrteLUT[2113] = 16'hdbf8;
RsqrteLUT[2114] = 16'hdbf0;
RsqrteLUT[2115] = 16'hdbe8;
RsqrteLUT[2116] = 16'hdbe1;
RsqrteLUT[2117] = 16'hdbda;
RsqrteLUT[2118] = 16'hdbd3;
RsqrteLUT[2119] = 16'hdbcc;
RsqrteLUT[2120] = 16'hdbc5;
RsqrteLUT[2121] = 16'hdbbe;
RsqrteLUT[2122] = 16'hdbb8;
RsqrteLUT[2123] = 16'hdbb1;
RsqrteLUT[2124] = 16'hdbab;
RsqrteLUT[2125] = 16'hdba5;
RsqrteLUT[2126] = 16'hdb9f;
RsqrteLUT[2127] = 16'hdb99;
RsqrteLUT[2128] = 16'hdb93;
RsqrteLUT[2129] = 16'hdb8e;
RsqrteLUT[2130] = 16'hdb88;
RsqrteLUT[2131] = 16'hdb83;
RsqrteLUT[2132] = 16'hdb7d;
RsqrteLUT[2133] = 16'hdb78;
RsqrteLUT[2134] = 16'hdb73;
RsqrteLUT[2135] = 16'hdb6e;
RsqrteLUT[2136] = 16'hdb69;
RsqrteLUT[2137] = 16'hdb64;
RsqrteLUT[2138] = 16'hdb5f;
RsqrteLUT[2139] = 16'hdb5a;
RsqrteLUT[2140] = 16'hdb56;
RsqrteLUT[2141] = 16'hdb51;
RsqrteLUT[2142] = 16'hdb4c;
RsqrteLUT[2143] = 16'hdb48;
RsqrteLUT[2144] = 16'hdb44;
RsqrteLUT[2145] = 16'hdb3f;
RsqrteLUT[2146] = 16'hdb3b;
RsqrteLUT[2147] = 16'hdb37;
RsqrteLUT[2148] = 16'hdb33;
RsqrteLUT[2149] = 16'hdb2f;
RsqrteLUT[2150] = 16'hdb2b;
RsqrteLUT[2151] = 16'hdb27;
RsqrteLUT[2152] = 16'hdb23;
RsqrteLUT[2153] = 16'hdb1f;
RsqrteLUT[2154] = 16'hdb1b;
RsqrteLUT[2155] = 16'hdb17;
RsqrteLUT[2156] = 16'hdb14;
RsqrteLUT[2157] = 16'hdb10;
RsqrteLUT[2158] = 16'hdb0d;
RsqrteLUT[2159] = 16'hdb09;
RsqrteLUT[2160] = 16'hdb06;
RsqrteLUT[2161] = 16'hdb02;
RsqrteLUT[2162] = 16'hdaff;
RsqrteLUT[2163] = 16'hdafb;
RsqrteLUT[2164] = 16'hdaf8;
RsqrteLUT[2165] = 16'hdaf5;
RsqrteLUT[2166] = 16'hdaf2;
RsqrteLUT[2167] = 16'hdaee;
RsqrteLUT[2168] = 16'hdaeb;
RsqrteLUT[2169] = 16'hdae8;
RsqrteLUT[2170] = 16'hdae5;
RsqrteLUT[2171] = 16'hdae2;
RsqrteLUT[2172] = 16'hdadf;
RsqrteLUT[2173] = 16'hdadc;
RsqrteLUT[2174] = 16'hdad9;
RsqrteLUT[2175] = 16'hdad6;
RsqrteLUT[2176] = 16'hdad4;
RsqrteLUT[2177] = 16'hdace;
RsqrteLUT[2178] = 16'hdac9;
RsqrteLUT[2179] = 16'hdac3;
RsqrteLUT[2180] = 16'hdabe;
RsqrteLUT[2181] = 16'hdab9;
RsqrteLUT[2182] = 16'hdab4;
RsqrteLUT[2183] = 16'hdaaf;
RsqrteLUT[2184] = 16'hdaaa;
RsqrteLUT[2185] = 16'hdaa5;
RsqrteLUT[2186] = 16'hdaa1;
RsqrteLUT[2187] = 16'hda9c;
RsqrteLUT[2188] = 16'hda98;
RsqrteLUT[2189] = 16'hda94;
RsqrteLUT[2190] = 16'hda8f;
RsqrteLUT[2191] = 16'hda8b;
RsqrteLUT[2192] = 16'hda87;
RsqrteLUT[2193] = 16'hda83;
RsqrteLUT[2194] = 16'hda7f;
RsqrteLUT[2195] = 16'hda7b;
RsqrteLUT[2196] = 16'hda78;
RsqrteLUT[2197] = 16'hda74;
RsqrteLUT[2198] = 16'hda70;
RsqrteLUT[2199] = 16'hda6d;
RsqrteLUT[2200] = 16'hda69;
RsqrteLUT[2201] = 16'hda66;
RsqrteLUT[2202] = 16'hda62;
RsqrteLUT[2203] = 16'hda5f;
RsqrteLUT[2204] = 16'hda5b;
RsqrteLUT[2205] = 16'hda58;
RsqrteLUT[2206] = 16'hda55;
RsqrteLUT[2207] = 16'hda52;
RsqrteLUT[2208] = 16'hda4f;
RsqrteLUT[2209] = 16'hda4c;
RsqrteLUT[2210] = 16'hda49;
RsqrteLUT[2211] = 16'hda46;
RsqrteLUT[2212] = 16'hda43;
RsqrteLUT[2213] = 16'hda40;
RsqrteLUT[2214] = 16'hda3d;
RsqrteLUT[2215] = 16'hda3a;
RsqrteLUT[2216] = 16'hda38;
RsqrteLUT[2217] = 16'hda35;
RsqrteLUT[2218] = 16'hda32;
RsqrteLUT[2219] = 16'hda2f;
RsqrteLUT[2220] = 16'hda2d;
RsqrteLUT[2221] = 16'hda2a;
RsqrteLUT[2222] = 16'hda28;
RsqrteLUT[2223] = 16'hda25;
RsqrteLUT[2224] = 16'hda23;
RsqrteLUT[2225] = 16'hda20;
RsqrteLUT[2226] = 16'hda1e;
RsqrteLUT[2227] = 16'hda1c;
RsqrteLUT[2228] = 16'hda19;
RsqrteLUT[2229] = 16'hda17;
RsqrteLUT[2230] = 16'hda15;
RsqrteLUT[2231] = 16'hda13;
RsqrteLUT[2232] = 16'hda10;
RsqrteLUT[2233] = 16'hda0e;
RsqrteLUT[2234] = 16'hda0c;
RsqrteLUT[2235] = 16'hda0a;
RsqrteLUT[2236] = 16'hda08;
RsqrteLUT[2237] = 16'hda06;
RsqrteLUT[2238] = 16'hda04;
RsqrteLUT[2239] = 16'hda02;
RsqrteLUT[2240] = 16'hda00;
RsqrteLUT[2241] = 16'hd9f8;
RsqrteLUT[2242] = 16'hd9f0;
RsqrteLUT[2243] = 16'hd9e8;
RsqrteLUT[2244] = 16'hd9e1;
RsqrteLUT[2245] = 16'hd9da;
RsqrteLUT[2246] = 16'hd9d3;
RsqrteLUT[2247] = 16'hd9cc;
RsqrteLUT[2248] = 16'hd9c5;
RsqrteLUT[2249] = 16'hd9be;
RsqrteLUT[2250] = 16'hd9b8;
RsqrteLUT[2251] = 16'hd9b1;
RsqrteLUT[2252] = 16'hd9ab;
RsqrteLUT[2253] = 16'hd9a5;
RsqrteLUT[2254] = 16'hd99f;
RsqrteLUT[2255] = 16'hd999;
RsqrteLUT[2256] = 16'hd993;
RsqrteLUT[2257] = 16'hd98e;
RsqrteLUT[2258] = 16'hd988;
RsqrteLUT[2259] = 16'hd983;
RsqrteLUT[2260] = 16'hd97d;
RsqrteLUT[2261] = 16'hd978;
RsqrteLUT[2262] = 16'hd973;
RsqrteLUT[2263] = 16'hd96e;
RsqrteLUT[2264] = 16'hd969;
RsqrteLUT[2265] = 16'hd964;
RsqrteLUT[2266] = 16'hd95f;
RsqrteLUT[2267] = 16'hd95a;
RsqrteLUT[2268] = 16'hd956;
RsqrteLUT[2269] = 16'hd951;
RsqrteLUT[2270] = 16'hd94c;
RsqrteLUT[2271] = 16'hd948;
RsqrteLUT[2272] = 16'hd944;
RsqrteLUT[2273] = 16'hd93f;
RsqrteLUT[2274] = 16'hd93b;
RsqrteLUT[2275] = 16'hd937;
RsqrteLUT[2276] = 16'hd933;
RsqrteLUT[2277] = 16'hd92f;
RsqrteLUT[2278] = 16'hd92b;
RsqrteLUT[2279] = 16'hd927;
RsqrteLUT[2280] = 16'hd923;
RsqrteLUT[2281] = 16'hd91f;
RsqrteLUT[2282] = 16'hd91b;
RsqrteLUT[2283] = 16'hd917;
RsqrteLUT[2284] = 16'hd914;
RsqrteLUT[2285] = 16'hd910;
RsqrteLUT[2286] = 16'hd90d;
RsqrteLUT[2287] = 16'hd909;
RsqrteLUT[2288] = 16'hd906;
RsqrteLUT[2289] = 16'hd902;
RsqrteLUT[2290] = 16'hd8ff;
RsqrteLUT[2291] = 16'hd8fb;
RsqrteLUT[2292] = 16'hd8f8;
RsqrteLUT[2293] = 16'hd8f5;
RsqrteLUT[2294] = 16'hd8f2;
RsqrteLUT[2295] = 16'hd8ee;
RsqrteLUT[2296] = 16'hd8eb;
RsqrteLUT[2297] = 16'hd8e8;
RsqrteLUT[2298] = 16'hd8e5;
RsqrteLUT[2299] = 16'hd8e2;
RsqrteLUT[2300] = 16'hd8df;
RsqrteLUT[2301] = 16'hd8dc;
RsqrteLUT[2302] = 16'hd8d9;
RsqrteLUT[2303] = 16'hd8d6;
RsqrteLUT[2304] = 16'hd8d4;
RsqrteLUT[2305] = 16'hd8ce;
RsqrteLUT[2306] = 16'hd8c9;
RsqrteLUT[2307] = 16'hd8c3;
RsqrteLUT[2308] = 16'hd8be;
RsqrteLUT[2309] = 16'hd8b9;
RsqrteLUT[2310] = 16'hd8b4;
RsqrteLUT[2311] = 16'hd8af;
RsqrteLUT[2312] = 16'hd8aa;
RsqrteLUT[2313] = 16'hd8a5;
RsqrteLUT[2314] = 16'hd8a1;
RsqrteLUT[2315] = 16'hd89c;
RsqrteLUT[2316] = 16'hd898;
RsqrteLUT[2317] = 16'hd894;
RsqrteLUT[2318] = 16'hd88f;
RsqrteLUT[2319] = 16'hd88b;
RsqrteLUT[2320] = 16'hd887;
RsqrteLUT[2321] = 16'hd883;
RsqrteLUT[2322] = 16'hd87f;
RsqrteLUT[2323] = 16'hd87b;
RsqrteLUT[2324] = 16'hd878;
RsqrteLUT[2325] = 16'hd874;
RsqrteLUT[2326] = 16'hd870;
RsqrteLUT[2327] = 16'hd86d;
RsqrteLUT[2328] = 16'hd869;
RsqrteLUT[2329] = 16'hd866;
RsqrteLUT[2330] = 16'hd862;
RsqrteLUT[2331] = 16'hd85f;
RsqrteLUT[2332] = 16'hd85b;
RsqrteLUT[2333] = 16'hd858;
RsqrteLUT[2334] = 16'hd855;
RsqrteLUT[2335] = 16'hd852;
RsqrteLUT[2336] = 16'hd84f;
RsqrteLUT[2337] = 16'hd84c;
RsqrteLUT[2338] = 16'hd849;
RsqrteLUT[2339] = 16'hd846;
RsqrteLUT[2340] = 16'hd843;
RsqrteLUT[2341] = 16'hd840;
RsqrteLUT[2342] = 16'hd83d;
RsqrteLUT[2343] = 16'hd83a;
RsqrteLUT[2344] = 16'hd838;
RsqrteLUT[2345] = 16'hd835;
RsqrteLUT[2346] = 16'hd832;
RsqrteLUT[2347] = 16'hd82f;
RsqrteLUT[2348] = 16'hd82d;
RsqrteLUT[2349] = 16'hd82a;
RsqrteLUT[2350] = 16'hd828;
RsqrteLUT[2351] = 16'hd825;
RsqrteLUT[2352] = 16'hd823;
RsqrteLUT[2353] = 16'hd820;
RsqrteLUT[2354] = 16'hd81e;
RsqrteLUT[2355] = 16'hd81c;
RsqrteLUT[2356] = 16'hd819;
RsqrteLUT[2357] = 16'hd817;
RsqrteLUT[2358] = 16'hd815;
RsqrteLUT[2359] = 16'hd813;
RsqrteLUT[2360] = 16'hd810;
RsqrteLUT[2361] = 16'hd80e;
RsqrteLUT[2362] = 16'hd80c;
RsqrteLUT[2363] = 16'hd80a;
RsqrteLUT[2364] = 16'hd808;
RsqrteLUT[2365] = 16'hd806;
RsqrteLUT[2366] = 16'hd804;
RsqrteLUT[2367] = 16'hd802;
RsqrteLUT[2368] = 16'hd800;
RsqrteLUT[2369] = 16'hd7f8;
RsqrteLUT[2370] = 16'hd7f0;
RsqrteLUT[2371] = 16'hd7e8;
RsqrteLUT[2372] = 16'hd7e1;
RsqrteLUT[2373] = 16'hd7da;
RsqrteLUT[2374] = 16'hd7d3;
RsqrteLUT[2375] = 16'hd7cc;
RsqrteLUT[2376] = 16'hd7c5;
RsqrteLUT[2377] = 16'hd7be;
RsqrteLUT[2378] = 16'hd7b8;
RsqrteLUT[2379] = 16'hd7b1;
RsqrteLUT[2380] = 16'hd7ab;
RsqrteLUT[2381] = 16'hd7a5;
RsqrteLUT[2382] = 16'hd79f;
RsqrteLUT[2383] = 16'hd799;
RsqrteLUT[2384] = 16'hd793;
RsqrteLUT[2385] = 16'hd78e;
RsqrteLUT[2386] = 16'hd788;
RsqrteLUT[2387] = 16'hd783;
RsqrteLUT[2388] = 16'hd77d;
RsqrteLUT[2389] = 16'hd778;
RsqrteLUT[2390] = 16'hd773;
RsqrteLUT[2391] = 16'hd76e;
RsqrteLUT[2392] = 16'hd769;
RsqrteLUT[2393] = 16'hd764;
RsqrteLUT[2394] = 16'hd75f;
RsqrteLUT[2395] = 16'hd75a;
RsqrteLUT[2396] = 16'hd756;
RsqrteLUT[2397] = 16'hd751;
RsqrteLUT[2398] = 16'hd74c;
RsqrteLUT[2399] = 16'hd748;
RsqrteLUT[2400] = 16'hd744;
RsqrteLUT[2401] = 16'hd73f;
RsqrteLUT[2402] = 16'hd73b;
RsqrteLUT[2403] = 16'hd737;
RsqrteLUT[2404] = 16'hd733;
RsqrteLUT[2405] = 16'hd72f;
RsqrteLUT[2406] = 16'hd72b;
RsqrteLUT[2407] = 16'hd727;
RsqrteLUT[2408] = 16'hd723;
RsqrteLUT[2409] = 16'hd71f;
RsqrteLUT[2410] = 16'hd71b;
RsqrteLUT[2411] = 16'hd717;
RsqrteLUT[2412] = 16'hd714;
RsqrteLUT[2413] = 16'hd710;
RsqrteLUT[2414] = 16'hd70d;
RsqrteLUT[2415] = 16'hd709;
RsqrteLUT[2416] = 16'hd706;
RsqrteLUT[2417] = 16'hd702;
RsqrteLUT[2418] = 16'hd6ff;
RsqrteLUT[2419] = 16'hd6fb;
RsqrteLUT[2420] = 16'hd6f8;
RsqrteLUT[2421] = 16'hd6f5;
RsqrteLUT[2422] = 16'hd6f2;
RsqrteLUT[2423] = 16'hd6ee;
RsqrteLUT[2424] = 16'hd6eb;
RsqrteLUT[2425] = 16'hd6e8;
RsqrteLUT[2426] = 16'hd6e5;
RsqrteLUT[2427] = 16'hd6e2;
RsqrteLUT[2428] = 16'hd6df;
RsqrteLUT[2429] = 16'hd6dc;
RsqrteLUT[2430] = 16'hd6d9;
RsqrteLUT[2431] = 16'hd6d6;
RsqrteLUT[2432] = 16'hd6d4;
RsqrteLUT[2433] = 16'hd6ce;
RsqrteLUT[2434] = 16'hd6c9;
RsqrteLUT[2435] = 16'hd6c3;
RsqrteLUT[2436] = 16'hd6be;
RsqrteLUT[2437] = 16'hd6b9;
RsqrteLUT[2438] = 16'hd6b4;
RsqrteLUT[2439] = 16'hd6af;
RsqrteLUT[2440] = 16'hd6aa;
RsqrteLUT[2441] = 16'hd6a5;
RsqrteLUT[2442] = 16'hd6a1;
RsqrteLUT[2443] = 16'hd69c;
RsqrteLUT[2444] = 16'hd698;
RsqrteLUT[2445] = 16'hd694;
RsqrteLUT[2446] = 16'hd68f;
RsqrteLUT[2447] = 16'hd68b;
RsqrteLUT[2448] = 16'hd687;
RsqrteLUT[2449] = 16'hd683;
RsqrteLUT[2450] = 16'hd67f;
RsqrteLUT[2451] = 16'hd67b;
RsqrteLUT[2452] = 16'hd678;
RsqrteLUT[2453] = 16'hd674;
RsqrteLUT[2454] = 16'hd670;
RsqrteLUT[2455] = 16'hd66d;
RsqrteLUT[2456] = 16'hd669;
RsqrteLUT[2457] = 16'hd666;
RsqrteLUT[2458] = 16'hd662;
RsqrteLUT[2459] = 16'hd65f;
RsqrteLUT[2460] = 16'hd65b;
RsqrteLUT[2461] = 16'hd658;
RsqrteLUT[2462] = 16'hd655;
RsqrteLUT[2463] = 16'hd652;
RsqrteLUT[2464] = 16'hd64f;
RsqrteLUT[2465] = 16'hd64c;
RsqrteLUT[2466] = 16'hd649;
RsqrteLUT[2467] = 16'hd646;
RsqrteLUT[2468] = 16'hd643;
RsqrteLUT[2469] = 16'hd640;
RsqrteLUT[2470] = 16'hd63d;
RsqrteLUT[2471] = 16'hd63a;
RsqrteLUT[2472] = 16'hd638;
RsqrteLUT[2473] = 16'hd635;
RsqrteLUT[2474] = 16'hd632;
RsqrteLUT[2475] = 16'hd62f;
RsqrteLUT[2476] = 16'hd62d;
RsqrteLUT[2477] = 16'hd62a;
RsqrteLUT[2478] = 16'hd628;
RsqrteLUT[2479] = 16'hd625;
RsqrteLUT[2480] = 16'hd623;
RsqrteLUT[2481] = 16'hd620;
RsqrteLUT[2482] = 16'hd61e;
RsqrteLUT[2483] = 16'hd61c;
RsqrteLUT[2484] = 16'hd619;
RsqrteLUT[2485] = 16'hd617;
RsqrteLUT[2486] = 16'hd615;
RsqrteLUT[2487] = 16'hd613;
RsqrteLUT[2488] = 16'hd610;
RsqrteLUT[2489] = 16'hd60e;
RsqrteLUT[2490] = 16'hd60c;
RsqrteLUT[2491] = 16'hd60a;
RsqrteLUT[2492] = 16'hd608;
RsqrteLUT[2493] = 16'hd606;
RsqrteLUT[2494] = 16'hd604;
RsqrteLUT[2495] = 16'hd602;
RsqrteLUT[2496] = 16'hd600;
RsqrteLUT[2497] = 16'hd5f8;
RsqrteLUT[2498] = 16'hd5f0;
RsqrteLUT[2499] = 16'hd5e8;
RsqrteLUT[2500] = 16'hd5e1;
RsqrteLUT[2501] = 16'hd5da;
RsqrteLUT[2502] = 16'hd5d3;
RsqrteLUT[2503] = 16'hd5cc;
RsqrteLUT[2504] = 16'hd5c5;
RsqrteLUT[2505] = 16'hd5be;
RsqrteLUT[2506] = 16'hd5b8;
RsqrteLUT[2507] = 16'hd5b1;
RsqrteLUT[2508] = 16'hd5ab;
RsqrteLUT[2509] = 16'hd5a5;
RsqrteLUT[2510] = 16'hd59f;
RsqrteLUT[2511] = 16'hd599;
RsqrteLUT[2512] = 16'hd593;
RsqrteLUT[2513] = 16'hd58e;
RsqrteLUT[2514] = 16'hd588;
RsqrteLUT[2515] = 16'hd583;
RsqrteLUT[2516] = 16'hd57d;
RsqrteLUT[2517] = 16'hd578;
RsqrteLUT[2518] = 16'hd573;
RsqrteLUT[2519] = 16'hd56e;
RsqrteLUT[2520] = 16'hd569;
RsqrteLUT[2521] = 16'hd564;
RsqrteLUT[2522] = 16'hd55f;
RsqrteLUT[2523] = 16'hd55a;
RsqrteLUT[2524] = 16'hd556;
RsqrteLUT[2525] = 16'hd551;
RsqrteLUT[2526] = 16'hd54c;
RsqrteLUT[2527] = 16'hd548;
RsqrteLUT[2528] = 16'hd544;
RsqrteLUT[2529] = 16'hd53f;
RsqrteLUT[2530] = 16'hd53b;
RsqrteLUT[2531] = 16'hd537;
RsqrteLUT[2532] = 16'hd533;
RsqrteLUT[2533] = 16'hd52f;
RsqrteLUT[2534] = 16'hd52b;
RsqrteLUT[2535] = 16'hd527;
RsqrteLUT[2536] = 16'hd523;
RsqrteLUT[2537] = 16'hd51f;
RsqrteLUT[2538] = 16'hd51b;
RsqrteLUT[2539] = 16'hd517;
RsqrteLUT[2540] = 16'hd514;
RsqrteLUT[2541] = 16'hd510;
RsqrteLUT[2542] = 16'hd50d;
RsqrteLUT[2543] = 16'hd509;
RsqrteLUT[2544] = 16'hd506;
RsqrteLUT[2545] = 16'hd502;
RsqrteLUT[2546] = 16'hd4ff;
RsqrteLUT[2547] = 16'hd4fb;
RsqrteLUT[2548] = 16'hd4f8;
RsqrteLUT[2549] = 16'hd4f5;
RsqrteLUT[2550] = 16'hd4f2;
RsqrteLUT[2551] = 16'hd4ee;
RsqrteLUT[2552] = 16'hd4eb;
RsqrteLUT[2553] = 16'hd4e8;
RsqrteLUT[2554] = 16'hd4e5;
RsqrteLUT[2555] = 16'hd4e2;
RsqrteLUT[2556] = 16'hd4df;
RsqrteLUT[2557] = 16'hd4dc;
RsqrteLUT[2558] = 16'hd4d9;
RsqrteLUT[2559] = 16'hd4d6;
RsqrteLUT[2560] = 16'hd4d4;
RsqrteLUT[2561] = 16'hd4ce;
RsqrteLUT[2562] = 16'hd4c9;
RsqrteLUT[2563] = 16'hd4c3;
RsqrteLUT[2564] = 16'hd4be;
RsqrteLUT[2565] = 16'hd4b9;
RsqrteLUT[2566] = 16'hd4b4;
RsqrteLUT[2567] = 16'hd4af;
RsqrteLUT[2568] = 16'hd4aa;
RsqrteLUT[2569] = 16'hd4a5;
RsqrteLUT[2570] = 16'hd4a1;
RsqrteLUT[2571] = 16'hd49c;
RsqrteLUT[2572] = 16'hd498;
RsqrteLUT[2573] = 16'hd494;
RsqrteLUT[2574] = 16'hd48f;
RsqrteLUT[2575] = 16'hd48b;
RsqrteLUT[2576] = 16'hd487;
RsqrteLUT[2577] = 16'hd483;
RsqrteLUT[2578] = 16'hd47f;
RsqrteLUT[2579] = 16'hd47b;
RsqrteLUT[2580] = 16'hd478;
RsqrteLUT[2581] = 16'hd474;
RsqrteLUT[2582] = 16'hd470;
RsqrteLUT[2583] = 16'hd46d;
RsqrteLUT[2584] = 16'hd469;
RsqrteLUT[2585] = 16'hd466;
RsqrteLUT[2586] = 16'hd462;
RsqrteLUT[2587] = 16'hd45f;
RsqrteLUT[2588] = 16'hd45b;
RsqrteLUT[2589] = 16'hd458;
RsqrteLUT[2590] = 16'hd455;
RsqrteLUT[2591] = 16'hd452;
RsqrteLUT[2592] = 16'hd44f;
RsqrteLUT[2593] = 16'hd44c;
RsqrteLUT[2594] = 16'hd449;
RsqrteLUT[2595] = 16'hd446;
RsqrteLUT[2596] = 16'hd443;
RsqrteLUT[2597] = 16'hd440;
RsqrteLUT[2598] = 16'hd43d;
RsqrteLUT[2599] = 16'hd43a;
RsqrteLUT[2600] = 16'hd438;
RsqrteLUT[2601] = 16'hd435;
RsqrteLUT[2602] = 16'hd432;
RsqrteLUT[2603] = 16'hd42f;
RsqrteLUT[2604] = 16'hd42d;
RsqrteLUT[2605] = 16'hd42a;
RsqrteLUT[2606] = 16'hd428;
RsqrteLUT[2607] = 16'hd425;
RsqrteLUT[2608] = 16'hd423;
RsqrteLUT[2609] = 16'hd420;
RsqrteLUT[2610] = 16'hd41e;
RsqrteLUT[2611] = 16'hd41c;
RsqrteLUT[2612] = 16'hd419;
RsqrteLUT[2613] = 16'hd417;
RsqrteLUT[2614] = 16'hd415;
RsqrteLUT[2615] = 16'hd413;
RsqrteLUT[2616] = 16'hd410;
RsqrteLUT[2617] = 16'hd40e;
RsqrteLUT[2618] = 16'hd40c;
RsqrteLUT[2619] = 16'hd40a;
RsqrteLUT[2620] = 16'hd408;
RsqrteLUT[2621] = 16'hd406;
RsqrteLUT[2622] = 16'hd404;
RsqrteLUT[2623] = 16'hd402;
RsqrteLUT[2624] = 16'hd400;
RsqrteLUT[2625] = 16'hd3f8;
RsqrteLUT[2626] = 16'hd3f0;
RsqrteLUT[2627] = 16'hd3e8;
RsqrteLUT[2628] = 16'hd3e1;
RsqrteLUT[2629] = 16'hd3da;
RsqrteLUT[2630] = 16'hd3d3;
RsqrteLUT[2631] = 16'hd3cc;
RsqrteLUT[2632] = 16'hd3c5;
RsqrteLUT[2633] = 16'hd3be;
RsqrteLUT[2634] = 16'hd3b8;
RsqrteLUT[2635] = 16'hd3b1;
RsqrteLUT[2636] = 16'hd3ab;
RsqrteLUT[2637] = 16'hd3a5;
RsqrteLUT[2638] = 16'hd39f;
RsqrteLUT[2639] = 16'hd399;
RsqrteLUT[2640] = 16'hd393;
RsqrteLUT[2641] = 16'hd38e;
RsqrteLUT[2642] = 16'hd388;
RsqrteLUT[2643] = 16'hd383;
RsqrteLUT[2644] = 16'hd37d;
RsqrteLUT[2645] = 16'hd378;
RsqrteLUT[2646] = 16'hd373;
RsqrteLUT[2647] = 16'hd36e;
RsqrteLUT[2648] = 16'hd369;
RsqrteLUT[2649] = 16'hd364;
RsqrteLUT[2650] = 16'hd35f;
RsqrteLUT[2651] = 16'hd35a;
RsqrteLUT[2652] = 16'hd356;
RsqrteLUT[2653] = 16'hd351;
RsqrteLUT[2654] = 16'hd34c;
RsqrteLUT[2655] = 16'hd348;
RsqrteLUT[2656] = 16'hd344;
RsqrteLUT[2657] = 16'hd33f;
RsqrteLUT[2658] = 16'hd33b;
RsqrteLUT[2659] = 16'hd337;
RsqrteLUT[2660] = 16'hd333;
RsqrteLUT[2661] = 16'hd32f;
RsqrteLUT[2662] = 16'hd32b;
RsqrteLUT[2663] = 16'hd327;
RsqrteLUT[2664] = 16'hd323;
RsqrteLUT[2665] = 16'hd31f;
RsqrteLUT[2666] = 16'hd31b;
RsqrteLUT[2667] = 16'hd317;
RsqrteLUT[2668] = 16'hd314;
RsqrteLUT[2669] = 16'hd310;
RsqrteLUT[2670] = 16'hd30d;
RsqrteLUT[2671] = 16'hd309;
RsqrteLUT[2672] = 16'hd306;
RsqrteLUT[2673] = 16'hd302;
RsqrteLUT[2674] = 16'hd2ff;
RsqrteLUT[2675] = 16'hd2fb;
RsqrteLUT[2676] = 16'hd2f8;
RsqrteLUT[2677] = 16'hd2f5;
RsqrteLUT[2678] = 16'hd2f2;
RsqrteLUT[2679] = 16'hd2ee;
RsqrteLUT[2680] = 16'hd2eb;
RsqrteLUT[2681] = 16'hd2e8;
RsqrteLUT[2682] = 16'hd2e5;
RsqrteLUT[2683] = 16'hd2e2;
RsqrteLUT[2684] = 16'hd2df;
RsqrteLUT[2685] = 16'hd2dc;
RsqrteLUT[2686] = 16'hd2d9;
RsqrteLUT[2687] = 16'hd2d6;
RsqrteLUT[2688] = 16'hd2d4;
RsqrteLUT[2689] = 16'hd2ce;
RsqrteLUT[2690] = 16'hd2c9;
RsqrteLUT[2691] = 16'hd2c3;
RsqrteLUT[2692] = 16'hd2be;
RsqrteLUT[2693] = 16'hd2b9;
RsqrteLUT[2694] = 16'hd2b4;
RsqrteLUT[2695] = 16'hd2af;
RsqrteLUT[2696] = 16'hd2aa;
RsqrteLUT[2697] = 16'hd2a5;
RsqrteLUT[2698] = 16'hd2a1;
RsqrteLUT[2699] = 16'hd29c;
RsqrteLUT[2700] = 16'hd298;
RsqrteLUT[2701] = 16'hd294;
RsqrteLUT[2702] = 16'hd28f;
RsqrteLUT[2703] = 16'hd28b;
RsqrteLUT[2704] = 16'hd287;
RsqrteLUT[2705] = 16'hd283;
RsqrteLUT[2706] = 16'hd27f;
RsqrteLUT[2707] = 16'hd27b;
RsqrteLUT[2708] = 16'hd278;
RsqrteLUT[2709] = 16'hd274;
RsqrteLUT[2710] = 16'hd270;
RsqrteLUT[2711] = 16'hd26d;
RsqrteLUT[2712] = 16'hd269;
RsqrteLUT[2713] = 16'hd266;
RsqrteLUT[2714] = 16'hd262;
RsqrteLUT[2715] = 16'hd25f;
RsqrteLUT[2716] = 16'hd25b;
RsqrteLUT[2717] = 16'hd258;
RsqrteLUT[2718] = 16'hd255;
RsqrteLUT[2719] = 16'hd252;
RsqrteLUT[2720] = 16'hd24f;
RsqrteLUT[2721] = 16'hd24c;
RsqrteLUT[2722] = 16'hd249;
RsqrteLUT[2723] = 16'hd246;
RsqrteLUT[2724] = 16'hd243;
RsqrteLUT[2725] = 16'hd240;
RsqrteLUT[2726] = 16'hd23d;
RsqrteLUT[2727] = 16'hd23a;
RsqrteLUT[2728] = 16'hd238;
RsqrteLUT[2729] = 16'hd235;
RsqrteLUT[2730] = 16'hd232;
RsqrteLUT[2731] = 16'hd22f;
RsqrteLUT[2732] = 16'hd22d;
RsqrteLUT[2733] = 16'hd22a;
RsqrteLUT[2734] = 16'hd228;
RsqrteLUT[2735] = 16'hd225;
RsqrteLUT[2736] = 16'hd223;
RsqrteLUT[2737] = 16'hd220;
RsqrteLUT[2738] = 16'hd21e;
RsqrteLUT[2739] = 16'hd21c;
RsqrteLUT[2740] = 16'hd219;
RsqrteLUT[2741] = 16'hd217;
RsqrteLUT[2742] = 16'hd215;
RsqrteLUT[2743] = 16'hd213;
RsqrteLUT[2744] = 16'hd210;
RsqrteLUT[2745] = 16'hd20e;
RsqrteLUT[2746] = 16'hd20c;
RsqrteLUT[2747] = 16'hd20a;
RsqrteLUT[2748] = 16'hd208;
RsqrteLUT[2749] = 16'hd206;
RsqrteLUT[2750] = 16'hd204;
RsqrteLUT[2751] = 16'hd202;
RsqrteLUT[2752] = 16'hd200;
RsqrteLUT[2753] = 16'hd1f8;
RsqrteLUT[2754] = 16'hd1f0;
RsqrteLUT[2755] = 16'hd1e8;
RsqrteLUT[2756] = 16'hd1e1;
RsqrteLUT[2757] = 16'hd1da;
RsqrteLUT[2758] = 16'hd1d3;
RsqrteLUT[2759] = 16'hd1cc;
RsqrteLUT[2760] = 16'hd1c5;
RsqrteLUT[2761] = 16'hd1be;
RsqrteLUT[2762] = 16'hd1b8;
RsqrteLUT[2763] = 16'hd1b1;
RsqrteLUT[2764] = 16'hd1ab;
RsqrteLUT[2765] = 16'hd1a5;
RsqrteLUT[2766] = 16'hd19f;
RsqrteLUT[2767] = 16'hd199;
RsqrteLUT[2768] = 16'hd193;
RsqrteLUT[2769] = 16'hd18e;
RsqrteLUT[2770] = 16'hd188;
RsqrteLUT[2771] = 16'hd183;
RsqrteLUT[2772] = 16'hd17d;
RsqrteLUT[2773] = 16'hd178;
RsqrteLUT[2774] = 16'hd173;
RsqrteLUT[2775] = 16'hd16e;
RsqrteLUT[2776] = 16'hd169;
RsqrteLUT[2777] = 16'hd164;
RsqrteLUT[2778] = 16'hd15f;
RsqrteLUT[2779] = 16'hd15a;
RsqrteLUT[2780] = 16'hd156;
RsqrteLUT[2781] = 16'hd151;
RsqrteLUT[2782] = 16'hd14c;
RsqrteLUT[2783] = 16'hd148;
RsqrteLUT[2784] = 16'hd144;
RsqrteLUT[2785] = 16'hd13f;
RsqrteLUT[2786] = 16'hd13b;
RsqrteLUT[2787] = 16'hd137;
RsqrteLUT[2788] = 16'hd133;
RsqrteLUT[2789] = 16'hd12f;
RsqrteLUT[2790] = 16'hd12b;
RsqrteLUT[2791] = 16'hd127;
RsqrteLUT[2792] = 16'hd123;
RsqrteLUT[2793] = 16'hd11f;
RsqrteLUT[2794] = 16'hd11b;
RsqrteLUT[2795] = 16'hd117;
RsqrteLUT[2796] = 16'hd114;
RsqrteLUT[2797] = 16'hd110;
RsqrteLUT[2798] = 16'hd10d;
RsqrteLUT[2799] = 16'hd109;
RsqrteLUT[2800] = 16'hd106;
RsqrteLUT[2801] = 16'hd102;
RsqrteLUT[2802] = 16'hd0ff;
RsqrteLUT[2803] = 16'hd0fb;
RsqrteLUT[2804] = 16'hd0f8;
RsqrteLUT[2805] = 16'hd0f5;
RsqrteLUT[2806] = 16'hd0f2;
RsqrteLUT[2807] = 16'hd0ee;
RsqrteLUT[2808] = 16'hd0eb;
RsqrteLUT[2809] = 16'hd0e8;
RsqrteLUT[2810] = 16'hd0e5;
RsqrteLUT[2811] = 16'hd0e2;
RsqrteLUT[2812] = 16'hd0df;
RsqrteLUT[2813] = 16'hd0dc;
RsqrteLUT[2814] = 16'hd0d9;
RsqrteLUT[2815] = 16'hd0d6;
RsqrteLUT[2816] = 16'hd0d4;
RsqrteLUT[2817] = 16'hd0ce;
RsqrteLUT[2818] = 16'hd0c9;
RsqrteLUT[2819] = 16'hd0c3;
RsqrteLUT[2820] = 16'hd0be;
RsqrteLUT[2821] = 16'hd0b9;
RsqrteLUT[2822] = 16'hd0b4;
RsqrteLUT[2823] = 16'hd0af;
RsqrteLUT[2824] = 16'hd0aa;
RsqrteLUT[2825] = 16'hd0a5;
RsqrteLUT[2826] = 16'hd0a1;
RsqrteLUT[2827] = 16'hd09c;
RsqrteLUT[2828] = 16'hd098;
RsqrteLUT[2829] = 16'hd094;
RsqrteLUT[2830] = 16'hd08f;
RsqrteLUT[2831] = 16'hd08b;
RsqrteLUT[2832] = 16'hd087;
RsqrteLUT[2833] = 16'hd083;
RsqrteLUT[2834] = 16'hd07f;
RsqrteLUT[2835] = 16'hd07b;
RsqrteLUT[2836] = 16'hd078;
RsqrteLUT[2837] = 16'hd074;
RsqrteLUT[2838] = 16'hd070;
RsqrteLUT[2839] = 16'hd06d;
RsqrteLUT[2840] = 16'hd069;
RsqrteLUT[2841] = 16'hd066;
RsqrteLUT[2842] = 16'hd062;
RsqrteLUT[2843] = 16'hd05f;
RsqrteLUT[2844] = 16'hd05b;
RsqrteLUT[2845] = 16'hd058;
RsqrteLUT[2846] = 16'hd055;
RsqrteLUT[2847] = 16'hd052;
RsqrteLUT[2848] = 16'hd04f;
RsqrteLUT[2849] = 16'hd04c;
RsqrteLUT[2850] = 16'hd049;
RsqrteLUT[2851] = 16'hd046;
RsqrteLUT[2852] = 16'hd043;
RsqrteLUT[2853] = 16'hd040;
RsqrteLUT[2854] = 16'hd03d;
RsqrteLUT[2855] = 16'hd03a;
RsqrteLUT[2856] = 16'hd038;
RsqrteLUT[2857] = 16'hd035;
RsqrteLUT[2858] = 16'hd032;
RsqrteLUT[2859] = 16'hd02f;
RsqrteLUT[2860] = 16'hd02d;
RsqrteLUT[2861] = 16'hd02a;
RsqrteLUT[2862] = 16'hd028;
RsqrteLUT[2863] = 16'hd025;
RsqrteLUT[2864] = 16'hd023;
RsqrteLUT[2865] = 16'hd020;
RsqrteLUT[2866] = 16'hd01e;
RsqrteLUT[2867] = 16'hd01c;
RsqrteLUT[2868] = 16'hd019;
RsqrteLUT[2869] = 16'hd017;
RsqrteLUT[2870] = 16'hd015;
RsqrteLUT[2871] = 16'hd013;
RsqrteLUT[2872] = 16'hd010;
RsqrteLUT[2873] = 16'hd00e;
RsqrteLUT[2874] = 16'hd00c;
RsqrteLUT[2875] = 16'hd00a;
RsqrteLUT[2876] = 16'hd008;
RsqrteLUT[2877] = 16'hd006;
RsqrteLUT[2878] = 16'hd004;
RsqrteLUT[2879] = 16'hd002;
RsqrteLUT[2880] = 16'hd000;
RsqrteLUT[2881] = 16'hcff8;
RsqrteLUT[2882] = 16'hcff0;
RsqrteLUT[2883] = 16'hcfe8;
RsqrteLUT[2884] = 16'hcfe1;
RsqrteLUT[2885] = 16'hcfda;
RsqrteLUT[2886] = 16'hcfd3;
RsqrteLUT[2887] = 16'hcfcc;
RsqrteLUT[2888] = 16'hcfc5;
RsqrteLUT[2889] = 16'hcfbe;
RsqrteLUT[2890] = 16'hcfb8;
RsqrteLUT[2891] = 16'hcfb1;
RsqrteLUT[2892] = 16'hcfab;
RsqrteLUT[2893] = 16'hcfa5;
RsqrteLUT[2894] = 16'hcf9f;
RsqrteLUT[2895] = 16'hcf99;
RsqrteLUT[2896] = 16'hcf93;
RsqrteLUT[2897] = 16'hcf8e;
RsqrteLUT[2898] = 16'hcf88;
RsqrteLUT[2899] = 16'hcf83;
RsqrteLUT[2900] = 16'hcf7d;
RsqrteLUT[2901] = 16'hcf78;
RsqrteLUT[2902] = 16'hcf73;
RsqrteLUT[2903] = 16'hcf6e;
RsqrteLUT[2904] = 16'hcf69;
RsqrteLUT[2905] = 16'hcf64;
RsqrteLUT[2906] = 16'hcf5f;
RsqrteLUT[2907] = 16'hcf5a;
RsqrteLUT[2908] = 16'hcf56;
RsqrteLUT[2909] = 16'hcf51;
RsqrteLUT[2910] = 16'hcf4c;
RsqrteLUT[2911] = 16'hcf48;
RsqrteLUT[2912] = 16'hcf44;
RsqrteLUT[2913] = 16'hcf3f;
RsqrteLUT[2914] = 16'hcf3b;
RsqrteLUT[2915] = 16'hcf37;
RsqrteLUT[2916] = 16'hcf33;
RsqrteLUT[2917] = 16'hcf2f;
RsqrteLUT[2918] = 16'hcf2b;
RsqrteLUT[2919] = 16'hcf27;
RsqrteLUT[2920] = 16'hcf23;
RsqrteLUT[2921] = 16'hcf1f;
RsqrteLUT[2922] = 16'hcf1b;
RsqrteLUT[2923] = 16'hcf17;
RsqrteLUT[2924] = 16'hcf14;
RsqrteLUT[2925] = 16'hcf10;
RsqrteLUT[2926] = 16'hcf0d;
RsqrteLUT[2927] = 16'hcf09;
RsqrteLUT[2928] = 16'hcf06;
RsqrteLUT[2929] = 16'hcf02;
RsqrteLUT[2930] = 16'hceff;
RsqrteLUT[2931] = 16'hcefb;
RsqrteLUT[2932] = 16'hcef8;
RsqrteLUT[2933] = 16'hcef5;
RsqrteLUT[2934] = 16'hcef2;
RsqrteLUT[2935] = 16'hceee;
RsqrteLUT[2936] = 16'hceeb;
RsqrteLUT[2937] = 16'hcee8;
RsqrteLUT[2938] = 16'hcee5;
RsqrteLUT[2939] = 16'hcee2;
RsqrteLUT[2940] = 16'hcedf;
RsqrteLUT[2941] = 16'hcedc;
RsqrteLUT[2942] = 16'hced9;
RsqrteLUT[2943] = 16'hced6;
RsqrteLUT[2944] = 16'hced4;
RsqrteLUT[2945] = 16'hcece;
RsqrteLUT[2946] = 16'hcec9;
RsqrteLUT[2947] = 16'hcec3;
RsqrteLUT[2948] = 16'hcebe;
RsqrteLUT[2949] = 16'hceb9;
RsqrteLUT[2950] = 16'hceb4;
RsqrteLUT[2951] = 16'hceaf;
RsqrteLUT[2952] = 16'hceaa;
RsqrteLUT[2953] = 16'hcea5;
RsqrteLUT[2954] = 16'hcea1;
RsqrteLUT[2955] = 16'hce9c;
RsqrteLUT[2956] = 16'hce98;
RsqrteLUT[2957] = 16'hce94;
RsqrteLUT[2958] = 16'hce8f;
RsqrteLUT[2959] = 16'hce8b;
RsqrteLUT[2960] = 16'hce87;
RsqrteLUT[2961] = 16'hce83;
RsqrteLUT[2962] = 16'hce7f;
RsqrteLUT[2963] = 16'hce7b;
RsqrteLUT[2964] = 16'hce78;
RsqrteLUT[2965] = 16'hce74;
RsqrteLUT[2966] = 16'hce70;
RsqrteLUT[2967] = 16'hce6d;
RsqrteLUT[2968] = 16'hce69;
RsqrteLUT[2969] = 16'hce66;
RsqrteLUT[2970] = 16'hce62;
RsqrteLUT[2971] = 16'hce5f;
RsqrteLUT[2972] = 16'hce5b;
RsqrteLUT[2973] = 16'hce58;
RsqrteLUT[2974] = 16'hce55;
RsqrteLUT[2975] = 16'hce52;
RsqrteLUT[2976] = 16'hce4f;
RsqrteLUT[2977] = 16'hce4c;
RsqrteLUT[2978] = 16'hce49;
RsqrteLUT[2979] = 16'hce46;
RsqrteLUT[2980] = 16'hce43;
RsqrteLUT[2981] = 16'hce40;
RsqrteLUT[2982] = 16'hce3d;
RsqrteLUT[2983] = 16'hce3a;
RsqrteLUT[2984] = 16'hce38;
RsqrteLUT[2985] = 16'hce35;
RsqrteLUT[2986] = 16'hce32;
RsqrteLUT[2987] = 16'hce2f;
RsqrteLUT[2988] = 16'hce2d;
RsqrteLUT[2989] = 16'hce2a;
RsqrteLUT[2990] = 16'hce28;
RsqrteLUT[2991] = 16'hce25;
RsqrteLUT[2992] = 16'hce23;
RsqrteLUT[2993] = 16'hce20;
RsqrteLUT[2994] = 16'hce1e;
RsqrteLUT[2995] = 16'hce1c;
RsqrteLUT[2996] = 16'hce19;
RsqrteLUT[2997] = 16'hce17;
RsqrteLUT[2998] = 16'hce15;
RsqrteLUT[2999] = 16'hce13;
RsqrteLUT[3000] = 16'hce10;
RsqrteLUT[3001] = 16'hce0e;
RsqrteLUT[3002] = 16'hce0c;
RsqrteLUT[3003] = 16'hce0a;
RsqrteLUT[3004] = 16'hce08;
RsqrteLUT[3005] = 16'hce06;
RsqrteLUT[3006] = 16'hce04;
RsqrteLUT[3007] = 16'hce02;
RsqrteLUT[3008] = 16'hce00;
RsqrteLUT[3009] = 16'hcdf8;
RsqrteLUT[3010] = 16'hcdf0;
RsqrteLUT[3011] = 16'hcde8;
RsqrteLUT[3012] = 16'hcde1;
RsqrteLUT[3013] = 16'hcdda;
RsqrteLUT[3014] = 16'hcdd3;
RsqrteLUT[3015] = 16'hcdcc;
RsqrteLUT[3016] = 16'hcdc5;
RsqrteLUT[3017] = 16'hcdbe;
RsqrteLUT[3018] = 16'hcdb8;
RsqrteLUT[3019] = 16'hcdb1;
RsqrteLUT[3020] = 16'hcdab;
RsqrteLUT[3021] = 16'hcda5;
RsqrteLUT[3022] = 16'hcd9f;
RsqrteLUT[3023] = 16'hcd99;
RsqrteLUT[3024] = 16'hcd93;
RsqrteLUT[3025] = 16'hcd8e;
RsqrteLUT[3026] = 16'hcd88;
RsqrteLUT[3027] = 16'hcd83;
RsqrteLUT[3028] = 16'hcd7d;
RsqrteLUT[3029] = 16'hcd78;
RsqrteLUT[3030] = 16'hcd73;
RsqrteLUT[3031] = 16'hcd6e;
RsqrteLUT[3032] = 16'hcd69;
RsqrteLUT[3033] = 16'hcd64;
RsqrteLUT[3034] = 16'hcd5f;
RsqrteLUT[3035] = 16'hcd5a;
RsqrteLUT[3036] = 16'hcd56;
RsqrteLUT[3037] = 16'hcd51;
RsqrteLUT[3038] = 16'hcd4c;
RsqrteLUT[3039] = 16'hcd48;
RsqrteLUT[3040] = 16'hcd44;
RsqrteLUT[3041] = 16'hcd3f;
RsqrteLUT[3042] = 16'hcd3b;
RsqrteLUT[3043] = 16'hcd37;
RsqrteLUT[3044] = 16'hcd33;
RsqrteLUT[3045] = 16'hcd2f;
RsqrteLUT[3046] = 16'hcd2b;
RsqrteLUT[3047] = 16'hcd27;
RsqrteLUT[3048] = 16'hcd23;
RsqrteLUT[3049] = 16'hcd1f;
RsqrteLUT[3050] = 16'hcd1b;
RsqrteLUT[3051] = 16'hcd17;
RsqrteLUT[3052] = 16'hcd14;
RsqrteLUT[3053] = 16'hcd10;
RsqrteLUT[3054] = 16'hcd0d;
RsqrteLUT[3055] = 16'hcd09;
RsqrteLUT[3056] = 16'hcd06;
RsqrteLUT[3057] = 16'hcd02;
RsqrteLUT[3058] = 16'hccff;
RsqrteLUT[3059] = 16'hccfb;
RsqrteLUT[3060] = 16'hccf8;
RsqrteLUT[3061] = 16'hccf5;
RsqrteLUT[3062] = 16'hccf2;
RsqrteLUT[3063] = 16'hccee;
RsqrteLUT[3064] = 16'hcceb;
RsqrteLUT[3065] = 16'hcce8;
RsqrteLUT[3066] = 16'hcce5;
RsqrteLUT[3067] = 16'hcce2;
RsqrteLUT[3068] = 16'hccdf;
RsqrteLUT[3069] = 16'hccdc;
RsqrteLUT[3070] = 16'hccd9;
RsqrteLUT[3071] = 16'hccd6;
RsqrteLUT[3072] = 16'hccd4;
RsqrteLUT[3073] = 16'hccce;
RsqrteLUT[3074] = 16'hccc9;
RsqrteLUT[3075] = 16'hccc3;
RsqrteLUT[3076] = 16'hccbe;
RsqrteLUT[3077] = 16'hccb9;
RsqrteLUT[3078] = 16'hccb4;
RsqrteLUT[3079] = 16'hccaf;
RsqrteLUT[3080] = 16'hccaa;
RsqrteLUT[3081] = 16'hcca5;
RsqrteLUT[3082] = 16'hcca1;
RsqrteLUT[3083] = 16'hcc9c;
RsqrteLUT[3084] = 16'hcc98;
RsqrteLUT[3085] = 16'hcc94;
RsqrteLUT[3086] = 16'hcc8f;
RsqrteLUT[3087] = 16'hcc8b;
RsqrteLUT[3088] = 16'hcc87;
RsqrteLUT[3089] = 16'hcc83;
RsqrteLUT[3090] = 16'hcc7f;
RsqrteLUT[3091] = 16'hcc7b;
RsqrteLUT[3092] = 16'hcc78;
RsqrteLUT[3093] = 16'hcc74;
RsqrteLUT[3094] = 16'hcc70;
RsqrteLUT[3095] = 16'hcc6d;
RsqrteLUT[3096] = 16'hcc69;
RsqrteLUT[3097] = 16'hcc66;
RsqrteLUT[3098] = 16'hcc62;
RsqrteLUT[3099] = 16'hcc5f;
RsqrteLUT[3100] = 16'hcc5b;
RsqrteLUT[3101] = 16'hcc58;
RsqrteLUT[3102] = 16'hcc55;
RsqrteLUT[3103] = 16'hcc52;
RsqrteLUT[3104] = 16'hcc4f;
RsqrteLUT[3105] = 16'hcc4c;
RsqrteLUT[3106] = 16'hcc49;
RsqrteLUT[3107] = 16'hcc46;
RsqrteLUT[3108] = 16'hcc43;
RsqrteLUT[3109] = 16'hcc40;
RsqrteLUT[3110] = 16'hcc3d;
RsqrteLUT[3111] = 16'hcc3a;
RsqrteLUT[3112] = 16'hcc38;
RsqrteLUT[3113] = 16'hcc35;
RsqrteLUT[3114] = 16'hcc32;
RsqrteLUT[3115] = 16'hcc2f;
RsqrteLUT[3116] = 16'hcc2d;
RsqrteLUT[3117] = 16'hcc2a;
RsqrteLUT[3118] = 16'hcc28;
RsqrteLUT[3119] = 16'hcc25;
RsqrteLUT[3120] = 16'hcc23;
RsqrteLUT[3121] = 16'hcc20;
RsqrteLUT[3122] = 16'hcc1e;
RsqrteLUT[3123] = 16'hcc1c;
RsqrteLUT[3124] = 16'hcc19;
RsqrteLUT[3125] = 16'hcc17;
RsqrteLUT[3126] = 16'hcc15;
RsqrteLUT[3127] = 16'hcc13;
RsqrteLUT[3128] = 16'hcc10;
RsqrteLUT[3129] = 16'hcc0e;
RsqrteLUT[3130] = 16'hcc0c;
RsqrteLUT[3131] = 16'hcc0a;
RsqrteLUT[3132] = 16'hcc08;
RsqrteLUT[3133] = 16'hcc06;
RsqrteLUT[3134] = 16'hcc04;
RsqrteLUT[3135] = 16'hcc02;
RsqrteLUT[3136] = 16'hcc00;
RsqrteLUT[3137] = 16'hcbf8;
RsqrteLUT[3138] = 16'hcbf0;
RsqrteLUT[3139] = 16'hcbe8;
RsqrteLUT[3140] = 16'hcbe1;
RsqrteLUT[3141] = 16'hcbda;
RsqrteLUT[3142] = 16'hcbd3;
RsqrteLUT[3143] = 16'hcbcc;
RsqrteLUT[3144] = 16'hcbc5;
RsqrteLUT[3145] = 16'hcbbe;
RsqrteLUT[3146] = 16'hcbb8;
RsqrteLUT[3147] = 16'hcbb1;
RsqrteLUT[3148] = 16'hcbab;
RsqrteLUT[3149] = 16'hcba5;
RsqrteLUT[3150] = 16'hcb9f;
RsqrteLUT[3151] = 16'hcb99;
RsqrteLUT[3152] = 16'hcb93;
RsqrteLUT[3153] = 16'hcb8e;
RsqrteLUT[3154] = 16'hcb88;
RsqrteLUT[3155] = 16'hcb83;
RsqrteLUT[3156] = 16'hcb7d;
RsqrteLUT[3157] = 16'hcb78;
RsqrteLUT[3158] = 16'hcb73;
RsqrteLUT[3159] = 16'hcb6e;
RsqrteLUT[3160] = 16'hcb69;
RsqrteLUT[3161] = 16'hcb64;
RsqrteLUT[3162] = 16'hcb5f;
RsqrteLUT[3163] = 16'hcb5a;
RsqrteLUT[3164] = 16'hcb56;
RsqrteLUT[3165] = 16'hcb51;
RsqrteLUT[3166] = 16'hcb4c;
RsqrteLUT[3167] = 16'hcb48;
RsqrteLUT[3168] = 16'hcb44;
RsqrteLUT[3169] = 16'hcb3f;
RsqrteLUT[3170] = 16'hcb3b;
RsqrteLUT[3171] = 16'hcb37;
RsqrteLUT[3172] = 16'hcb33;
RsqrteLUT[3173] = 16'hcb2f;
RsqrteLUT[3174] = 16'hcb2b;
RsqrteLUT[3175] = 16'hcb27;
RsqrteLUT[3176] = 16'hcb23;
RsqrteLUT[3177] = 16'hcb1f;
RsqrteLUT[3178] = 16'hcb1b;
RsqrteLUT[3179] = 16'hcb17;
RsqrteLUT[3180] = 16'hcb14;
RsqrteLUT[3181] = 16'hcb10;
RsqrteLUT[3182] = 16'hcb0d;
RsqrteLUT[3183] = 16'hcb09;
RsqrteLUT[3184] = 16'hcb06;
RsqrteLUT[3185] = 16'hcb02;
RsqrteLUT[3186] = 16'hcaff;
RsqrteLUT[3187] = 16'hcafb;
RsqrteLUT[3188] = 16'hcaf8;
RsqrteLUT[3189] = 16'hcaf5;
RsqrteLUT[3190] = 16'hcaf2;
RsqrteLUT[3191] = 16'hcaee;
RsqrteLUT[3192] = 16'hcaeb;
RsqrteLUT[3193] = 16'hcae8;
RsqrteLUT[3194] = 16'hcae5;
RsqrteLUT[3195] = 16'hcae2;
RsqrteLUT[3196] = 16'hcadf;
RsqrteLUT[3197] = 16'hcadc;
RsqrteLUT[3198] = 16'hcad9;
RsqrteLUT[3199] = 16'hcad6;
RsqrteLUT[3200] = 16'hcad4;
RsqrteLUT[3201] = 16'hcace;
RsqrteLUT[3202] = 16'hcac9;
RsqrteLUT[3203] = 16'hcac3;
RsqrteLUT[3204] = 16'hcabe;
RsqrteLUT[3205] = 16'hcab9;
RsqrteLUT[3206] = 16'hcab4;
RsqrteLUT[3207] = 16'hcaaf;
RsqrteLUT[3208] = 16'hcaaa;
RsqrteLUT[3209] = 16'hcaa5;
RsqrteLUT[3210] = 16'hcaa1;
RsqrteLUT[3211] = 16'hca9c;
RsqrteLUT[3212] = 16'hca98;
RsqrteLUT[3213] = 16'hca94;
RsqrteLUT[3214] = 16'hca8f;
RsqrteLUT[3215] = 16'hca8b;
RsqrteLUT[3216] = 16'hca87;
RsqrteLUT[3217] = 16'hca83;
RsqrteLUT[3218] = 16'hca7f;
RsqrteLUT[3219] = 16'hca7b;
RsqrteLUT[3220] = 16'hca78;
RsqrteLUT[3221] = 16'hca74;
RsqrteLUT[3222] = 16'hca70;
RsqrteLUT[3223] = 16'hca6d;
RsqrteLUT[3224] = 16'hca69;
RsqrteLUT[3225] = 16'hca66;
RsqrteLUT[3226] = 16'hca62;
RsqrteLUT[3227] = 16'hca5f;
RsqrteLUT[3228] = 16'hca5b;
RsqrteLUT[3229] = 16'hca58;
RsqrteLUT[3230] = 16'hca55;
RsqrteLUT[3231] = 16'hca52;
RsqrteLUT[3232] = 16'hca4f;
RsqrteLUT[3233] = 16'hca4c;
RsqrteLUT[3234] = 16'hca49;
RsqrteLUT[3235] = 16'hca46;
RsqrteLUT[3236] = 16'hca43;
RsqrteLUT[3237] = 16'hca40;
RsqrteLUT[3238] = 16'hca3d;
RsqrteLUT[3239] = 16'hca3a;
RsqrteLUT[3240] = 16'hca38;
RsqrteLUT[3241] = 16'hca35;
RsqrteLUT[3242] = 16'hca32;
RsqrteLUT[3243] = 16'hca2f;
RsqrteLUT[3244] = 16'hca2d;
RsqrteLUT[3245] = 16'hca2a;
RsqrteLUT[3246] = 16'hca28;
RsqrteLUT[3247] = 16'hca25;
RsqrteLUT[3248] = 16'hca23;
RsqrteLUT[3249] = 16'hca20;
RsqrteLUT[3250] = 16'hca1e;
RsqrteLUT[3251] = 16'hca1c;
RsqrteLUT[3252] = 16'hca19;
RsqrteLUT[3253] = 16'hca17;
RsqrteLUT[3254] = 16'hca15;
RsqrteLUT[3255] = 16'hca13;
RsqrteLUT[3256] = 16'hca10;
RsqrteLUT[3257] = 16'hca0e;
RsqrteLUT[3258] = 16'hca0c;
RsqrteLUT[3259] = 16'hca0a;
RsqrteLUT[3260] = 16'hca08;
RsqrteLUT[3261] = 16'hca06;
RsqrteLUT[3262] = 16'hca04;
RsqrteLUT[3263] = 16'hca02;
RsqrteLUT[3264] = 16'hca00;
RsqrteLUT[3265] = 16'hc9f8;
RsqrteLUT[3266] = 16'hc9f0;
RsqrteLUT[3267] = 16'hc9e8;
RsqrteLUT[3268] = 16'hc9e1;
RsqrteLUT[3269] = 16'hc9da;
RsqrteLUT[3270] = 16'hc9d3;
RsqrteLUT[3271] = 16'hc9cc;
RsqrteLUT[3272] = 16'hc9c5;
RsqrteLUT[3273] = 16'hc9be;
RsqrteLUT[3274] = 16'hc9b8;
RsqrteLUT[3275] = 16'hc9b1;
RsqrteLUT[3276] = 16'hc9ab;
RsqrteLUT[3277] = 16'hc9a5;
RsqrteLUT[3278] = 16'hc99f;
RsqrteLUT[3279] = 16'hc999;
RsqrteLUT[3280] = 16'hc993;
RsqrteLUT[3281] = 16'hc98e;
RsqrteLUT[3282] = 16'hc988;
RsqrteLUT[3283] = 16'hc983;
RsqrteLUT[3284] = 16'hc97d;
RsqrteLUT[3285] = 16'hc978;
RsqrteLUT[3286] = 16'hc973;
RsqrteLUT[3287] = 16'hc96e;
RsqrteLUT[3288] = 16'hc969;
RsqrteLUT[3289] = 16'hc964;
RsqrteLUT[3290] = 16'hc95f;
RsqrteLUT[3291] = 16'hc95a;
RsqrteLUT[3292] = 16'hc956;
RsqrteLUT[3293] = 16'hc951;
RsqrteLUT[3294] = 16'hc94c;
RsqrteLUT[3295] = 16'hc948;
RsqrteLUT[3296] = 16'hc944;
RsqrteLUT[3297] = 16'hc93f;
RsqrteLUT[3298] = 16'hc93b;
RsqrteLUT[3299] = 16'hc937;
RsqrteLUT[3300] = 16'hc933;
RsqrteLUT[3301] = 16'hc92f;
RsqrteLUT[3302] = 16'hc92b;
RsqrteLUT[3303] = 16'hc927;
RsqrteLUT[3304] = 16'hc923;
RsqrteLUT[3305] = 16'hc91f;
RsqrteLUT[3306] = 16'hc91b;
RsqrteLUT[3307] = 16'hc917;
RsqrteLUT[3308] = 16'hc914;
RsqrteLUT[3309] = 16'hc910;
RsqrteLUT[3310] = 16'hc90d;
RsqrteLUT[3311] = 16'hc909;
RsqrteLUT[3312] = 16'hc906;
RsqrteLUT[3313] = 16'hc902;
RsqrteLUT[3314] = 16'hc8ff;
RsqrteLUT[3315] = 16'hc8fb;
RsqrteLUT[3316] = 16'hc8f8;
RsqrteLUT[3317] = 16'hc8f5;
RsqrteLUT[3318] = 16'hc8f2;
RsqrteLUT[3319] = 16'hc8ee;
RsqrteLUT[3320] = 16'hc8eb;
RsqrteLUT[3321] = 16'hc8e8;
RsqrteLUT[3322] = 16'hc8e5;
RsqrteLUT[3323] = 16'hc8e2;
RsqrteLUT[3324] = 16'hc8df;
RsqrteLUT[3325] = 16'hc8dc;
RsqrteLUT[3326] = 16'hc8d9;
RsqrteLUT[3327] = 16'hc8d6;
RsqrteLUT[3328] = 16'hc8d4;
RsqrteLUT[3329] = 16'hc8ce;
RsqrteLUT[3330] = 16'hc8c9;
RsqrteLUT[3331] = 16'hc8c3;
RsqrteLUT[3332] = 16'hc8be;
RsqrteLUT[3333] = 16'hc8b9;
RsqrteLUT[3334] = 16'hc8b4;
RsqrteLUT[3335] = 16'hc8af;
RsqrteLUT[3336] = 16'hc8aa;
RsqrteLUT[3337] = 16'hc8a5;
RsqrteLUT[3338] = 16'hc8a1;
RsqrteLUT[3339] = 16'hc89c;
RsqrteLUT[3340] = 16'hc898;
RsqrteLUT[3341] = 16'hc894;
RsqrteLUT[3342] = 16'hc88f;
RsqrteLUT[3343] = 16'hc88b;
RsqrteLUT[3344] = 16'hc887;
RsqrteLUT[3345] = 16'hc883;
RsqrteLUT[3346] = 16'hc87f;
RsqrteLUT[3347] = 16'hc87b;
RsqrteLUT[3348] = 16'hc878;
RsqrteLUT[3349] = 16'hc874;
RsqrteLUT[3350] = 16'hc870;
RsqrteLUT[3351] = 16'hc86d;
RsqrteLUT[3352] = 16'hc869;
RsqrteLUT[3353] = 16'hc866;
RsqrteLUT[3354] = 16'hc862;
RsqrteLUT[3355] = 16'hc85f;
RsqrteLUT[3356] = 16'hc85b;
RsqrteLUT[3357] = 16'hc858;
RsqrteLUT[3358] = 16'hc855;
RsqrteLUT[3359] = 16'hc852;
RsqrteLUT[3360] = 16'hc84f;
RsqrteLUT[3361] = 16'hc84c;
RsqrteLUT[3362] = 16'hc849;
RsqrteLUT[3363] = 16'hc846;
RsqrteLUT[3364] = 16'hc843;
RsqrteLUT[3365] = 16'hc840;
RsqrteLUT[3366] = 16'hc83d;
RsqrteLUT[3367] = 16'hc83a;
RsqrteLUT[3368] = 16'hc838;
RsqrteLUT[3369] = 16'hc835;
RsqrteLUT[3370] = 16'hc832;
RsqrteLUT[3371] = 16'hc82f;
RsqrteLUT[3372] = 16'hc82d;
RsqrteLUT[3373] = 16'hc82a;
RsqrteLUT[3374] = 16'hc828;
RsqrteLUT[3375] = 16'hc825;
RsqrteLUT[3376] = 16'hc823;
RsqrteLUT[3377] = 16'hc820;
RsqrteLUT[3378] = 16'hc81e;
RsqrteLUT[3379] = 16'hc81c;
RsqrteLUT[3380] = 16'hc819;
RsqrteLUT[3381] = 16'hc817;
RsqrteLUT[3382] = 16'hc815;
RsqrteLUT[3383] = 16'hc813;
RsqrteLUT[3384] = 16'hc810;
RsqrteLUT[3385] = 16'hc80e;
RsqrteLUT[3386] = 16'hc80c;
RsqrteLUT[3387] = 16'hc80a;
RsqrteLUT[3388] = 16'hc808;
RsqrteLUT[3389] = 16'hc806;
RsqrteLUT[3390] = 16'hc804;
RsqrteLUT[3391] = 16'hc802;
RsqrteLUT[3392] = 16'hc800;
RsqrteLUT[3393] = 16'hc7f8;
RsqrteLUT[3394] = 16'hc7f0;
RsqrteLUT[3395] = 16'hc7e8;
RsqrteLUT[3396] = 16'hc7e1;
RsqrteLUT[3397] = 16'hc7da;
RsqrteLUT[3398] = 16'hc7d3;
RsqrteLUT[3399] = 16'hc7cc;
RsqrteLUT[3400] = 16'hc7c5;
RsqrteLUT[3401] = 16'hc7be;
RsqrteLUT[3402] = 16'hc7b8;
RsqrteLUT[3403] = 16'hc7b1;
RsqrteLUT[3404] = 16'hc7ab;
RsqrteLUT[3405] = 16'hc7a5;
RsqrteLUT[3406] = 16'hc79f;
RsqrteLUT[3407] = 16'hc799;
RsqrteLUT[3408] = 16'hc793;
RsqrteLUT[3409] = 16'hc78e;
RsqrteLUT[3410] = 16'hc788;
RsqrteLUT[3411] = 16'hc783;
RsqrteLUT[3412] = 16'hc77d;
RsqrteLUT[3413] = 16'hc778;
RsqrteLUT[3414] = 16'hc773;
RsqrteLUT[3415] = 16'hc76e;
RsqrteLUT[3416] = 16'hc769;
RsqrteLUT[3417] = 16'hc764;
RsqrteLUT[3418] = 16'hc75f;
RsqrteLUT[3419] = 16'hc75a;
RsqrteLUT[3420] = 16'hc756;
RsqrteLUT[3421] = 16'hc751;
RsqrteLUT[3422] = 16'hc74c;
RsqrteLUT[3423] = 16'hc748;
RsqrteLUT[3424] = 16'hc744;
RsqrteLUT[3425] = 16'hc73f;
RsqrteLUT[3426] = 16'hc73b;
RsqrteLUT[3427] = 16'hc737;
RsqrteLUT[3428] = 16'hc733;
RsqrteLUT[3429] = 16'hc72f;
RsqrteLUT[3430] = 16'hc72b;
RsqrteLUT[3431] = 16'hc727;
RsqrteLUT[3432] = 16'hc723;
RsqrteLUT[3433] = 16'hc71f;
RsqrteLUT[3434] = 16'hc71b;
RsqrteLUT[3435] = 16'hc717;
RsqrteLUT[3436] = 16'hc714;
RsqrteLUT[3437] = 16'hc710;
RsqrteLUT[3438] = 16'hc70d;
RsqrteLUT[3439] = 16'hc709;
RsqrteLUT[3440] = 16'hc706;
RsqrteLUT[3441] = 16'hc702;
RsqrteLUT[3442] = 16'hc6ff;
RsqrteLUT[3443] = 16'hc6fb;
RsqrteLUT[3444] = 16'hc6f8;
RsqrteLUT[3445] = 16'hc6f5;
RsqrteLUT[3446] = 16'hc6f2;
RsqrteLUT[3447] = 16'hc6ee;
RsqrteLUT[3448] = 16'hc6eb;
RsqrteLUT[3449] = 16'hc6e8;
RsqrteLUT[3450] = 16'hc6e5;
RsqrteLUT[3451] = 16'hc6e2;
RsqrteLUT[3452] = 16'hc6df;
RsqrteLUT[3453] = 16'hc6dc;
RsqrteLUT[3454] = 16'hc6d9;
RsqrteLUT[3455] = 16'hc6d6;
RsqrteLUT[3456] = 16'hc6d4;
RsqrteLUT[3457] = 16'hc6ce;
RsqrteLUT[3458] = 16'hc6c9;
RsqrteLUT[3459] = 16'hc6c3;
RsqrteLUT[3460] = 16'hc6be;
RsqrteLUT[3461] = 16'hc6b9;
RsqrteLUT[3462] = 16'hc6b4;
RsqrteLUT[3463] = 16'hc6af;
RsqrteLUT[3464] = 16'hc6aa;
RsqrteLUT[3465] = 16'hc6a5;
RsqrteLUT[3466] = 16'hc6a1;
RsqrteLUT[3467] = 16'hc69c;
RsqrteLUT[3468] = 16'hc698;
RsqrteLUT[3469] = 16'hc694;
RsqrteLUT[3470] = 16'hc68f;
RsqrteLUT[3471] = 16'hc68b;
RsqrteLUT[3472] = 16'hc687;
RsqrteLUT[3473] = 16'hc683;
RsqrteLUT[3474] = 16'hc67f;
RsqrteLUT[3475] = 16'hc67b;
RsqrteLUT[3476] = 16'hc678;
RsqrteLUT[3477] = 16'hc674;
RsqrteLUT[3478] = 16'hc670;
RsqrteLUT[3479] = 16'hc66d;
RsqrteLUT[3480] = 16'hc669;
RsqrteLUT[3481] = 16'hc666;
RsqrteLUT[3482] = 16'hc662;
RsqrteLUT[3483] = 16'hc65f;
RsqrteLUT[3484] = 16'hc65b;
RsqrteLUT[3485] = 16'hc658;
RsqrteLUT[3486] = 16'hc655;
RsqrteLUT[3487] = 16'hc652;
RsqrteLUT[3488] = 16'hc64f;
RsqrteLUT[3489] = 16'hc64c;
RsqrteLUT[3490] = 16'hc649;
RsqrteLUT[3491] = 16'hc646;
RsqrteLUT[3492] = 16'hc643;
RsqrteLUT[3493] = 16'hc640;
RsqrteLUT[3494] = 16'hc63d;
RsqrteLUT[3495] = 16'hc63a;
RsqrteLUT[3496] = 16'hc638;
RsqrteLUT[3497] = 16'hc635;
RsqrteLUT[3498] = 16'hc632;
RsqrteLUT[3499] = 16'hc62f;
RsqrteLUT[3500] = 16'hc62d;
RsqrteLUT[3501] = 16'hc62a;
RsqrteLUT[3502] = 16'hc628;
RsqrteLUT[3503] = 16'hc625;
RsqrteLUT[3504] = 16'hc623;
RsqrteLUT[3505] = 16'hc620;
RsqrteLUT[3506] = 16'hc61e;
RsqrteLUT[3507] = 16'hc61c;
RsqrteLUT[3508] = 16'hc619;
RsqrteLUT[3509] = 16'hc617;
RsqrteLUT[3510] = 16'hc615;
RsqrteLUT[3511] = 16'hc613;
RsqrteLUT[3512] = 16'hc610;
RsqrteLUT[3513] = 16'hc60e;
RsqrteLUT[3514] = 16'hc60c;
RsqrteLUT[3515] = 16'hc60a;
RsqrteLUT[3516] = 16'hc608;
RsqrteLUT[3517] = 16'hc606;
RsqrteLUT[3518] = 16'hc604;
RsqrteLUT[3519] = 16'hc602;
RsqrteLUT[3520] = 16'hc600;
RsqrteLUT[3521] = 16'hc5f8;
RsqrteLUT[3522] = 16'hc5f0;
RsqrteLUT[3523] = 16'hc5e8;
RsqrteLUT[3524] = 16'hc5e1;
RsqrteLUT[3525] = 16'hc5da;
RsqrteLUT[3526] = 16'hc5d3;
RsqrteLUT[3527] = 16'hc5cc;
RsqrteLUT[3528] = 16'hc5c5;
RsqrteLUT[3529] = 16'hc5be;
RsqrteLUT[3530] = 16'hc5b8;
RsqrteLUT[3531] = 16'hc5b1;
RsqrteLUT[3532] = 16'hc5ab;
RsqrteLUT[3533] = 16'hc5a5;
RsqrteLUT[3534] = 16'hc59f;
RsqrteLUT[3535] = 16'hc599;
RsqrteLUT[3536] = 16'hc593;
RsqrteLUT[3537] = 16'hc58e;
RsqrteLUT[3538] = 16'hc588;
RsqrteLUT[3539] = 16'hc583;
RsqrteLUT[3540] = 16'hc57d;
RsqrteLUT[3541] = 16'hc578;
RsqrteLUT[3542] = 16'hc573;
RsqrteLUT[3543] = 16'hc56e;
RsqrteLUT[3544] = 16'hc569;
RsqrteLUT[3545] = 16'hc564;
RsqrteLUT[3546] = 16'hc55f;
RsqrteLUT[3547] = 16'hc55a;
RsqrteLUT[3548] = 16'hc556;
RsqrteLUT[3549] = 16'hc551;
RsqrteLUT[3550] = 16'hc54c;
RsqrteLUT[3551] = 16'hc548;
RsqrteLUT[3552] = 16'hc544;
RsqrteLUT[3553] = 16'hc53f;
RsqrteLUT[3554] = 16'hc53b;
RsqrteLUT[3555] = 16'hc537;
RsqrteLUT[3556] = 16'hc533;
RsqrteLUT[3557] = 16'hc52f;
RsqrteLUT[3558] = 16'hc52b;
RsqrteLUT[3559] = 16'hc527;
RsqrteLUT[3560] = 16'hc523;
RsqrteLUT[3561] = 16'hc51f;
RsqrteLUT[3562] = 16'hc51b;
RsqrteLUT[3563] = 16'hc517;
RsqrteLUT[3564] = 16'hc514;
RsqrteLUT[3565] = 16'hc510;
RsqrteLUT[3566] = 16'hc50d;
RsqrteLUT[3567] = 16'hc509;
RsqrteLUT[3568] = 16'hc506;
RsqrteLUT[3569] = 16'hc502;
RsqrteLUT[3570] = 16'hc4ff;
RsqrteLUT[3571] = 16'hc4fb;
RsqrteLUT[3572] = 16'hc4f8;
RsqrteLUT[3573] = 16'hc4f5;
RsqrteLUT[3574] = 16'hc4f2;
RsqrteLUT[3575] = 16'hc4ee;
RsqrteLUT[3576] = 16'hc4eb;
RsqrteLUT[3577] = 16'hc4e8;
RsqrteLUT[3578] = 16'hc4e5;
RsqrteLUT[3579] = 16'hc4e2;
RsqrteLUT[3580] = 16'hc4df;
RsqrteLUT[3581] = 16'hc4dc;
RsqrteLUT[3582] = 16'hc4d9;
RsqrteLUT[3583] = 16'hc4d6;
RsqrteLUT[3584] = 16'hc4d4;
RsqrteLUT[3585] = 16'hc4ce;
RsqrteLUT[3586] = 16'hc4c9;
RsqrteLUT[3587] = 16'hc4c3;
RsqrteLUT[3588] = 16'hc4be;
RsqrteLUT[3589] = 16'hc4b9;
RsqrteLUT[3590] = 16'hc4b4;
RsqrteLUT[3591] = 16'hc4af;
RsqrteLUT[3592] = 16'hc4aa;
RsqrteLUT[3593] = 16'hc4a5;
RsqrteLUT[3594] = 16'hc4a1;
RsqrteLUT[3595] = 16'hc49c;
RsqrteLUT[3596] = 16'hc498;
RsqrteLUT[3597] = 16'hc494;
RsqrteLUT[3598] = 16'hc48f;
RsqrteLUT[3599] = 16'hc48b;
RsqrteLUT[3600] = 16'hc487;
RsqrteLUT[3601] = 16'hc483;
RsqrteLUT[3602] = 16'hc47f;
RsqrteLUT[3603] = 16'hc47b;
RsqrteLUT[3604] = 16'hc478;
RsqrteLUT[3605] = 16'hc474;
RsqrteLUT[3606] = 16'hc470;
RsqrteLUT[3607] = 16'hc46d;
RsqrteLUT[3608] = 16'hc469;
RsqrteLUT[3609] = 16'hc466;
RsqrteLUT[3610] = 16'hc462;
RsqrteLUT[3611] = 16'hc45f;
RsqrteLUT[3612] = 16'hc45b;
RsqrteLUT[3613] = 16'hc458;
RsqrteLUT[3614] = 16'hc455;
RsqrteLUT[3615] = 16'hc452;
RsqrteLUT[3616] = 16'hc44f;
RsqrteLUT[3617] = 16'hc44c;
RsqrteLUT[3618] = 16'hc449;
RsqrteLUT[3619] = 16'hc446;
RsqrteLUT[3620] = 16'hc443;
RsqrteLUT[3621] = 16'hc440;
RsqrteLUT[3622] = 16'hc43d;
RsqrteLUT[3623] = 16'hc43a;
RsqrteLUT[3624] = 16'hc438;
RsqrteLUT[3625] = 16'hc435;
RsqrteLUT[3626] = 16'hc432;
RsqrteLUT[3627] = 16'hc42f;
RsqrteLUT[3628] = 16'hc42d;
RsqrteLUT[3629] = 16'hc42a;
RsqrteLUT[3630] = 16'hc428;
RsqrteLUT[3631] = 16'hc425;
RsqrteLUT[3632] = 16'hc423;
RsqrteLUT[3633] = 16'hc420;
RsqrteLUT[3634] = 16'hc41e;
RsqrteLUT[3635] = 16'hc41c;
RsqrteLUT[3636] = 16'hc419;
RsqrteLUT[3637] = 16'hc417;
RsqrteLUT[3638] = 16'hc415;
RsqrteLUT[3639] = 16'hc413;
RsqrteLUT[3640] = 16'hc410;
RsqrteLUT[3641] = 16'hc40e;
RsqrteLUT[3642] = 16'hc40c;
RsqrteLUT[3643] = 16'hc40a;
RsqrteLUT[3644] = 16'hc408;
RsqrteLUT[3645] = 16'hc406;
RsqrteLUT[3646] = 16'hc404;
RsqrteLUT[3647] = 16'hc402;
RsqrteLUT[3648] = 16'hc400;
RsqrteLUT[3649] = 16'hc3f8;
RsqrteLUT[3650] = 16'hc3f0;
RsqrteLUT[3651] = 16'hc3e8;
RsqrteLUT[3652] = 16'hc3e1;
RsqrteLUT[3653] = 16'hc3da;
RsqrteLUT[3654] = 16'hc3d3;
RsqrteLUT[3655] = 16'hc3cc;
RsqrteLUT[3656] = 16'hc3c5;
RsqrteLUT[3657] = 16'hc3be;
RsqrteLUT[3658] = 16'hc3b8;
RsqrteLUT[3659] = 16'hc3b1;
RsqrteLUT[3660] = 16'hc3ab;
RsqrteLUT[3661] = 16'hc3a5;
RsqrteLUT[3662] = 16'hc39f;
RsqrteLUT[3663] = 16'hc399;
RsqrteLUT[3664] = 16'hc393;
RsqrteLUT[3665] = 16'hc38e;
RsqrteLUT[3666] = 16'hc388;
RsqrteLUT[3667] = 16'hc383;
RsqrteLUT[3668] = 16'hc37d;
RsqrteLUT[3669] = 16'hc378;
RsqrteLUT[3670] = 16'hc373;
RsqrteLUT[3671] = 16'hc36e;
RsqrteLUT[3672] = 16'hc369;
RsqrteLUT[3673] = 16'hc364;
RsqrteLUT[3674] = 16'hc35f;
RsqrteLUT[3675] = 16'hc35a;
RsqrteLUT[3676] = 16'hc356;
RsqrteLUT[3677] = 16'hc351;
RsqrteLUT[3678] = 16'hc34c;
RsqrteLUT[3679] = 16'hc348;
RsqrteLUT[3680] = 16'hc344;
RsqrteLUT[3681] = 16'hc33f;
RsqrteLUT[3682] = 16'hc33b;
RsqrteLUT[3683] = 16'hc337;
RsqrteLUT[3684] = 16'hc333;
RsqrteLUT[3685] = 16'hc32f;
RsqrteLUT[3686] = 16'hc32b;
RsqrteLUT[3687] = 16'hc327;
RsqrteLUT[3688] = 16'hc323;
RsqrteLUT[3689] = 16'hc31f;
RsqrteLUT[3690] = 16'hc31b;
RsqrteLUT[3691] = 16'hc317;
RsqrteLUT[3692] = 16'hc314;
RsqrteLUT[3693] = 16'hc310;
RsqrteLUT[3694] = 16'hc30d;
RsqrteLUT[3695] = 16'hc309;
RsqrteLUT[3696] = 16'hc306;
RsqrteLUT[3697] = 16'hc302;
RsqrteLUT[3698] = 16'hc2ff;
RsqrteLUT[3699] = 16'hc2fb;
RsqrteLUT[3700] = 16'hc2f8;
RsqrteLUT[3701] = 16'hc2f5;
RsqrteLUT[3702] = 16'hc2f2;
RsqrteLUT[3703] = 16'hc2ee;
RsqrteLUT[3704] = 16'hc2eb;
RsqrteLUT[3705] = 16'hc2e8;
RsqrteLUT[3706] = 16'hc2e5;
RsqrteLUT[3707] = 16'hc2e2;
RsqrteLUT[3708] = 16'hc2df;
RsqrteLUT[3709] = 16'hc2dc;
RsqrteLUT[3710] = 16'hc2d9;
RsqrteLUT[3711] = 16'hc2d6;
RsqrteLUT[3712] = 16'hc2d4;
RsqrteLUT[3713] = 16'hc2ce;
RsqrteLUT[3714] = 16'hc2c9;
RsqrteLUT[3715] = 16'hc2c3;
RsqrteLUT[3716] = 16'hc2be;
RsqrteLUT[3717] = 16'hc2b9;
RsqrteLUT[3718] = 16'hc2b4;
RsqrteLUT[3719] = 16'hc2af;
RsqrteLUT[3720] = 16'hc2aa;
RsqrteLUT[3721] = 16'hc2a5;
RsqrteLUT[3722] = 16'hc2a1;
RsqrteLUT[3723] = 16'hc29c;
RsqrteLUT[3724] = 16'hc298;
RsqrteLUT[3725] = 16'hc294;
RsqrteLUT[3726] = 16'hc28f;
RsqrteLUT[3727] = 16'hc28b;
RsqrteLUT[3728] = 16'hc287;
RsqrteLUT[3729] = 16'hc283;
RsqrteLUT[3730] = 16'hc27f;
RsqrteLUT[3731] = 16'hc27b;
RsqrteLUT[3732] = 16'hc278;
RsqrteLUT[3733] = 16'hc274;
RsqrteLUT[3734] = 16'hc270;
RsqrteLUT[3735] = 16'hc26d;
RsqrteLUT[3736] = 16'hc269;
RsqrteLUT[3737] = 16'hc266;
RsqrteLUT[3738] = 16'hc262;
RsqrteLUT[3739] = 16'hc25f;
RsqrteLUT[3740] = 16'hc25b;
RsqrteLUT[3741] = 16'hc258;
RsqrteLUT[3742] = 16'hc255;
RsqrteLUT[3743] = 16'hc252;
RsqrteLUT[3744] = 16'hc24f;
RsqrteLUT[3745] = 16'hc24c;
RsqrteLUT[3746] = 16'hc249;
RsqrteLUT[3747] = 16'hc246;
RsqrteLUT[3748] = 16'hc243;
RsqrteLUT[3749] = 16'hc240;
RsqrteLUT[3750] = 16'hc23d;
RsqrteLUT[3751] = 16'hc23a;
RsqrteLUT[3752] = 16'hc238;
RsqrteLUT[3753] = 16'hc235;
RsqrteLUT[3754] = 16'hc232;
RsqrteLUT[3755] = 16'hc22f;
RsqrteLUT[3756] = 16'hc22d;
RsqrteLUT[3757] = 16'hc22a;
RsqrteLUT[3758] = 16'hc228;
RsqrteLUT[3759] = 16'hc225;
RsqrteLUT[3760] = 16'hc223;
RsqrteLUT[3761] = 16'hc220;
RsqrteLUT[3762] = 16'hc21e;
RsqrteLUT[3763] = 16'hc21c;
RsqrteLUT[3764] = 16'hc219;
RsqrteLUT[3765] = 16'hc217;
RsqrteLUT[3766] = 16'hc215;
RsqrteLUT[3767] = 16'hc213;
RsqrteLUT[3768] = 16'hc210;
RsqrteLUT[3769] = 16'hc20e;
RsqrteLUT[3770] = 16'hc20c;
RsqrteLUT[3771] = 16'hc20a;
RsqrteLUT[3772] = 16'hc208;
RsqrteLUT[3773] = 16'hc206;
RsqrteLUT[3774] = 16'hc204;
RsqrteLUT[3775] = 16'hc202;
RsqrteLUT[3776] = 16'hc200;
RsqrteLUT[3777] = 16'hc1f8;
RsqrteLUT[3778] = 16'hc1f0;
RsqrteLUT[3779] = 16'hc1e8;
RsqrteLUT[3780] = 16'hc1e1;
RsqrteLUT[3781] = 16'hc1da;
RsqrteLUT[3782] = 16'hc1d3;
RsqrteLUT[3783] = 16'hc1cc;
RsqrteLUT[3784] = 16'hc1c5;
RsqrteLUT[3785] = 16'hc1be;
RsqrteLUT[3786] = 16'hc1b8;
RsqrteLUT[3787] = 16'hc1b1;
RsqrteLUT[3788] = 16'hc1ab;
RsqrteLUT[3789] = 16'hc1a5;
RsqrteLUT[3790] = 16'hc19f;
RsqrteLUT[3791] = 16'hc199;
RsqrteLUT[3792] = 16'hc193;
RsqrteLUT[3793] = 16'hc18e;
RsqrteLUT[3794] = 16'hc188;
RsqrteLUT[3795] = 16'hc183;
RsqrteLUT[3796] = 16'hc17d;
RsqrteLUT[3797] = 16'hc178;
RsqrteLUT[3798] = 16'hc173;
RsqrteLUT[3799] = 16'hc16e;
RsqrteLUT[3800] = 16'hc169;
RsqrteLUT[3801] = 16'hc164;
RsqrteLUT[3802] = 16'hc15f;
RsqrteLUT[3803] = 16'hc15a;
RsqrteLUT[3804] = 16'hc156;
RsqrteLUT[3805] = 16'hc151;
RsqrteLUT[3806] = 16'hc14c;
RsqrteLUT[3807] = 16'hc148;
RsqrteLUT[3808] = 16'hc144;
RsqrteLUT[3809] = 16'hc13f;
RsqrteLUT[3810] = 16'hc13b;
RsqrteLUT[3811] = 16'hc137;
RsqrteLUT[3812] = 16'hc133;
RsqrteLUT[3813] = 16'hc12f;
RsqrteLUT[3814] = 16'hc12b;
RsqrteLUT[3815] = 16'hc127;
RsqrteLUT[3816] = 16'hc123;
RsqrteLUT[3817] = 16'hc11f;
RsqrteLUT[3818] = 16'hc11b;
RsqrteLUT[3819] = 16'hc117;
RsqrteLUT[3820] = 16'hc114;
RsqrteLUT[3821] = 16'hc110;
RsqrteLUT[3822] = 16'hc10d;
RsqrteLUT[3823] = 16'hc109;
RsqrteLUT[3824] = 16'hc106;
RsqrteLUT[3825] = 16'hc102;
RsqrteLUT[3826] = 16'hc0ff;
RsqrteLUT[3827] = 16'hc0fb;
RsqrteLUT[3828] = 16'hc0f8;
RsqrteLUT[3829] = 16'hc0f5;
RsqrteLUT[3830] = 16'hc0f2;
RsqrteLUT[3831] = 16'hc0ee;
RsqrteLUT[3832] = 16'hc0eb;
RsqrteLUT[3833] = 16'hc0e8;
RsqrteLUT[3834] = 16'hc0e5;
RsqrteLUT[3835] = 16'hc0e2;
RsqrteLUT[3836] = 16'hc0df;
RsqrteLUT[3837] = 16'hc0dc;
RsqrteLUT[3838] = 16'hc0d9;
RsqrteLUT[3839] = 16'hc0d6;
RsqrteLUT[3840] = 16'hc0d4;
RsqrteLUT[3841] = 16'hc0ce;
RsqrteLUT[3842] = 16'hc0c9;
RsqrteLUT[3843] = 16'hc0c3;
RsqrteLUT[3844] = 16'hc0be;
RsqrteLUT[3845] = 16'hc0b9;
RsqrteLUT[3846] = 16'hc0b4;
RsqrteLUT[3847] = 16'hc0af;
RsqrteLUT[3848] = 16'hc0aa;
RsqrteLUT[3849] = 16'hc0a5;
RsqrteLUT[3850] = 16'hc0a1;
RsqrteLUT[3851] = 16'hc09c;
RsqrteLUT[3852] = 16'hc098;
RsqrteLUT[3853] = 16'hc094;
RsqrteLUT[3854] = 16'hc08f;
RsqrteLUT[3855] = 16'hc08b;
RsqrteLUT[3856] = 16'hc087;
RsqrteLUT[3857] = 16'hc083;
RsqrteLUT[3858] = 16'hc07f;
RsqrteLUT[3859] = 16'hc07b;
RsqrteLUT[3860] = 16'hc078;
RsqrteLUT[3861] = 16'hc074;
RsqrteLUT[3862] = 16'hc070;
RsqrteLUT[3863] = 16'hc06d;
RsqrteLUT[3864] = 16'hc069;
RsqrteLUT[3865] = 16'hc066;
RsqrteLUT[3866] = 16'hc062;
RsqrteLUT[3867] = 16'hc05f;
RsqrteLUT[3868] = 16'hc05b;
RsqrteLUT[3869] = 16'hc058;
RsqrteLUT[3870] = 16'hc055;
RsqrteLUT[3871] = 16'hc052;
RsqrteLUT[3872] = 16'hc04f;
RsqrteLUT[3873] = 16'hc04c;
RsqrteLUT[3874] = 16'hc049;
RsqrteLUT[3875] = 16'hc046;
RsqrteLUT[3876] = 16'hc043;
RsqrteLUT[3877] = 16'hc040;
RsqrteLUT[3878] = 16'hc03d;
RsqrteLUT[3879] = 16'hc03a;
RsqrteLUT[3880] = 16'hc038;
RsqrteLUT[3881] = 16'hc035;
RsqrteLUT[3882] = 16'hc032;
RsqrteLUT[3883] = 16'hc02f;
RsqrteLUT[3884] = 16'hc02d;
RsqrteLUT[3885] = 16'hc02a;
RsqrteLUT[3886] = 16'hc028;
RsqrteLUT[3887] = 16'hc025;
RsqrteLUT[3888] = 16'hc023;
RsqrteLUT[3889] = 16'hc020;
RsqrteLUT[3890] = 16'hc01e;
RsqrteLUT[3891] = 16'hc01c;
RsqrteLUT[3892] = 16'hc019;
RsqrteLUT[3893] = 16'hc017;
RsqrteLUT[3894] = 16'hc015;
RsqrteLUT[3895] = 16'hc013;
RsqrteLUT[3896] = 16'hc010;
RsqrteLUT[3897] = 16'hc00e;
RsqrteLUT[3898] = 16'hc00c;
RsqrteLUT[3899] = 16'hc00a;
RsqrteLUT[3900] = 16'hc008;
RsqrteLUT[3901] = 16'hc006;
RsqrteLUT[3902] = 16'hc004;
RsqrteLUT[3903] = 16'hc002;
RsqrteLUT[3904] = 16'hc000;
RsqrteLUT[3905] = 16'hbff8;
RsqrteLUT[3906] = 16'hbff0;
RsqrteLUT[3907] = 16'hbfe8;
RsqrteLUT[3908] = 16'hbfe1;
RsqrteLUT[3909] = 16'hbfda;
RsqrteLUT[3910] = 16'hbfd3;
RsqrteLUT[3911] = 16'hbfcc;
RsqrteLUT[3912] = 16'hbfc5;
RsqrteLUT[3913] = 16'hbfbe;
RsqrteLUT[3914] = 16'hbfb8;
RsqrteLUT[3915] = 16'hbfb1;
RsqrteLUT[3916] = 16'hbfab;
RsqrteLUT[3917] = 16'hbfa5;
RsqrteLUT[3918] = 16'hbf9f;
RsqrteLUT[3919] = 16'hbf99;
RsqrteLUT[3920] = 16'hbf93;
RsqrteLUT[3921] = 16'hbf8e;
RsqrteLUT[3922] = 16'hbf88;
RsqrteLUT[3923] = 16'hbf83;
RsqrteLUT[3924] = 16'hbf7d;
RsqrteLUT[3925] = 16'hbf78;
RsqrteLUT[3926] = 16'hbf73;
RsqrteLUT[3927] = 16'hbf6e;
RsqrteLUT[3928] = 16'hbf69;
RsqrteLUT[3929] = 16'hbf64;
RsqrteLUT[3930] = 16'hbf5f;
RsqrteLUT[3931] = 16'hbf5a;
RsqrteLUT[3932] = 16'hbf56;
RsqrteLUT[3933] = 16'hbf51;
RsqrteLUT[3934] = 16'hbf4c;
RsqrteLUT[3935] = 16'hbf48;
RsqrteLUT[3936] = 16'hbf44;
RsqrteLUT[3937] = 16'hbf3f;
RsqrteLUT[3938] = 16'hbf3b;
RsqrteLUT[3939] = 16'hbf37;
RsqrteLUT[3940] = 16'hbf33;
RsqrteLUT[3941] = 16'hbf2f;
RsqrteLUT[3942] = 16'hbf2b;
RsqrteLUT[3943] = 16'hbf27;
RsqrteLUT[3944] = 16'hbf23;
RsqrteLUT[3945] = 16'hbf1f;
RsqrteLUT[3946] = 16'hbf1b;
RsqrteLUT[3947] = 16'hbf17;
RsqrteLUT[3948] = 16'hbf14;
RsqrteLUT[3949] = 16'hbf10;
RsqrteLUT[3950] = 16'hbf0d;
RsqrteLUT[3951] = 16'hbf09;
RsqrteLUT[3952] = 16'hbf06;
RsqrteLUT[3953] = 16'hbf02;
RsqrteLUT[3954] = 16'hbeff;
RsqrteLUT[3955] = 16'hbefb;
RsqrteLUT[3956] = 16'hbef8;
RsqrteLUT[3957] = 16'hbef5;
RsqrteLUT[3958] = 16'hbef2;
RsqrteLUT[3959] = 16'hbeee;
RsqrteLUT[3960] = 16'hbeeb;
RsqrteLUT[3961] = 16'hbee8;
RsqrteLUT[3962] = 16'hbee5;
RsqrteLUT[3963] = 16'hbee2;
RsqrteLUT[3964] = 16'hbedf;
RsqrteLUT[3965] = 16'hbedc;
RsqrteLUT[3966] = 16'hbed9;
RsqrteLUT[3967] = 16'hbed6;
RsqrteLUT[3968] = 16'hbed4;
RsqrteLUT[3969] = 16'hbece;
RsqrteLUT[3970] = 16'hbec9;
RsqrteLUT[3971] = 16'hbec3;
RsqrteLUT[3972] = 16'hbebe;
RsqrteLUT[3973] = 16'hbeb9;
RsqrteLUT[3974] = 16'hbeb4;
RsqrteLUT[3975] = 16'hbeaf;
RsqrteLUT[3976] = 16'hbeaa;
RsqrteLUT[3977] = 16'hbea5;
RsqrteLUT[3978] = 16'hbea1;
RsqrteLUT[3979] = 16'hbe9c;
RsqrteLUT[3980] = 16'hbe98;
RsqrteLUT[3981] = 16'hbe94;
RsqrteLUT[3982] = 16'hbe8f;
RsqrteLUT[3983] = 16'hbe8b;
RsqrteLUT[3984] = 16'hbe87;
RsqrteLUT[3985] = 16'hbe83;
RsqrteLUT[3986] = 16'hbe7f;
RsqrteLUT[3987] = 16'hbe7b;
RsqrteLUT[3988] = 16'hbe78;
RsqrteLUT[3989] = 16'hbe74;
RsqrteLUT[3990] = 16'hbe70;
RsqrteLUT[3991] = 16'hbe6d;
RsqrteLUT[3992] = 16'hbe69;
RsqrteLUT[3993] = 16'hbe66;
RsqrteLUT[3994] = 16'hbe62;
RsqrteLUT[3995] = 16'hbe5f;
RsqrteLUT[3996] = 16'hbe5b;
RsqrteLUT[3997] = 16'hbe58;
RsqrteLUT[3998] = 16'hbe55;
RsqrteLUT[3999] = 16'hbe52;
RsqrteLUT[4000] = 16'hbe4f;
RsqrteLUT[4001] = 16'hbe4c;
RsqrteLUT[4002] = 16'hbe49;
RsqrteLUT[4003] = 16'hbe46;
RsqrteLUT[4004] = 16'hbe43;
RsqrteLUT[4005] = 16'hbe40;
RsqrteLUT[4006] = 16'hbe3d;
RsqrteLUT[4007] = 16'hbe3a;
RsqrteLUT[4008] = 16'hbe38;
RsqrteLUT[4009] = 16'hbe35;
RsqrteLUT[4010] = 16'hbe32;
RsqrteLUT[4011] = 16'hbe2f;
RsqrteLUT[4012] = 16'hbe2d;
RsqrteLUT[4013] = 16'hbe2a;
RsqrteLUT[4014] = 16'hbe28;
RsqrteLUT[4015] = 16'hbe25;
RsqrteLUT[4016] = 16'hbe23;
RsqrteLUT[4017] = 16'hbe20;
RsqrteLUT[4018] = 16'hbe1e;
RsqrteLUT[4019] = 16'hbe1c;
RsqrteLUT[4020] = 16'hbe19;
RsqrteLUT[4021] = 16'hbe17;
RsqrteLUT[4022] = 16'hbe15;
RsqrteLUT[4023] = 16'hbe13;
RsqrteLUT[4024] = 16'hbe10;
RsqrteLUT[4025] = 16'hbe0e;
RsqrteLUT[4026] = 16'hbe0c;
RsqrteLUT[4027] = 16'hbe0a;
RsqrteLUT[4028] = 16'hbe08;
RsqrteLUT[4029] = 16'hbe06;
RsqrteLUT[4030] = 16'hbe04;
RsqrteLUT[4031] = 16'hbe02;
RsqrteLUT[4032] = 16'hbe00;
RsqrteLUT[4033] = 16'hbdf8;
RsqrteLUT[4034] = 16'hbdf0;
RsqrteLUT[4035] = 16'hbde8;
RsqrteLUT[4036] = 16'hbde1;
RsqrteLUT[4037] = 16'hbdda;
RsqrteLUT[4038] = 16'hbdd3;
RsqrteLUT[4039] = 16'hbdcc;
RsqrteLUT[4040] = 16'hbdc5;
RsqrteLUT[4041] = 16'hbdbe;
RsqrteLUT[4042] = 16'hbdb8;
RsqrteLUT[4043] = 16'hbdb1;
RsqrteLUT[4044] = 16'hbdab;
RsqrteLUT[4045] = 16'hbda5;
RsqrteLUT[4046] = 16'hbd9f;
RsqrteLUT[4047] = 16'hbd99;
RsqrteLUT[4048] = 16'hbd93;
RsqrteLUT[4049] = 16'hbd8e;
RsqrteLUT[4050] = 16'hbd88;
RsqrteLUT[4051] = 16'hbd83;
RsqrteLUT[4052] = 16'hbd7d;
RsqrteLUT[4053] = 16'hbd78;
RsqrteLUT[4054] = 16'hbd73;
RsqrteLUT[4055] = 16'hbd6e;
RsqrteLUT[4056] = 16'hbd69;
RsqrteLUT[4057] = 16'hbd64;
RsqrteLUT[4058] = 16'hbd5f;
RsqrteLUT[4059] = 16'hbd5a;
RsqrteLUT[4060] = 16'hbd56;
RsqrteLUT[4061] = 16'hbd51;
RsqrteLUT[4062] = 16'hbd4c;
RsqrteLUT[4063] = 16'hbd48;
RsqrteLUT[4064] = 16'hbd44;
RsqrteLUT[4065] = 16'hbd3f;
RsqrteLUT[4066] = 16'hbd3b;
RsqrteLUT[4067] = 16'hbd37;
RsqrteLUT[4068] = 16'hbd33;
RsqrteLUT[4069] = 16'hbd2f;
RsqrteLUT[4070] = 16'hbd2b;
RsqrteLUT[4071] = 16'hbd27;
RsqrteLUT[4072] = 16'hbd23;
RsqrteLUT[4073] = 16'hbd1f;
RsqrteLUT[4074] = 16'hbd1b;
RsqrteLUT[4075] = 16'hbd17;
RsqrteLUT[4076] = 16'hbd14;
RsqrteLUT[4077] = 16'hbd10;
RsqrteLUT[4078] = 16'hbd0d;
RsqrteLUT[4079] = 16'hbd09;
RsqrteLUT[4080] = 16'hbd06;
RsqrteLUT[4081] = 16'hbd02;
RsqrteLUT[4082] = 16'hbcff;
RsqrteLUT[4083] = 16'hbcfb;
RsqrteLUT[4084] = 16'hbcf8;
RsqrteLUT[4085] = 16'hbcf5;
RsqrteLUT[4086] = 16'hbcf2;
RsqrteLUT[4087] = 16'hbcee;
RsqrteLUT[4088] = 16'hbceb;
RsqrteLUT[4089] = 16'hbce8;
RsqrteLUT[4090] = 16'hbce5;
RsqrteLUT[4091] = 16'hbce2;
RsqrteLUT[4092] = 16'hbcdf;
RsqrteLUT[4093] = 16'hbcdc;
RsqrteLUT[4094] = 16'hbcd9;
RsqrteLUT[4095] = 16'hbcd6;
RsqrteLUT[4096] = 16'hbcd4;
RsqrteLUT[4097] = 16'hbcce;
RsqrteLUT[4098] = 16'hbcc9;
RsqrteLUT[4099] = 16'hbcc3;
RsqrteLUT[4100] = 16'hbcbe;
RsqrteLUT[4101] = 16'hbcb9;
RsqrteLUT[4102] = 16'hbcb4;
RsqrteLUT[4103] = 16'hbcaf;
RsqrteLUT[4104] = 16'hbcaa;
RsqrteLUT[4105] = 16'hbca5;
RsqrteLUT[4106] = 16'hbca1;
RsqrteLUT[4107] = 16'hbc9c;
RsqrteLUT[4108] = 16'hbc98;
RsqrteLUT[4109] = 16'hbc94;
RsqrteLUT[4110] = 16'hbc8f;
RsqrteLUT[4111] = 16'hbc8b;
RsqrteLUT[4112] = 16'hbc87;
RsqrteLUT[4113] = 16'hbc83;
RsqrteLUT[4114] = 16'hbc7f;
RsqrteLUT[4115] = 16'hbc7b;
RsqrteLUT[4116] = 16'hbc78;
RsqrteLUT[4117] = 16'hbc74;
RsqrteLUT[4118] = 16'hbc70;
RsqrteLUT[4119] = 16'hbc6d;
RsqrteLUT[4120] = 16'hbc69;
RsqrteLUT[4121] = 16'hbc66;
RsqrteLUT[4122] = 16'hbc62;
RsqrteLUT[4123] = 16'hbc5f;
RsqrteLUT[4124] = 16'hbc5b;
RsqrteLUT[4125] = 16'hbc58;
RsqrteLUT[4126] = 16'hbc55;
RsqrteLUT[4127] = 16'hbc52;
RsqrteLUT[4128] = 16'hbc4f;
RsqrteLUT[4129] = 16'hbc4c;
RsqrteLUT[4130] = 16'hbc49;
RsqrteLUT[4131] = 16'hbc46;
RsqrteLUT[4132] = 16'hbc43;
RsqrteLUT[4133] = 16'hbc40;
RsqrteLUT[4134] = 16'hbc3d;
RsqrteLUT[4135] = 16'hbc3a;
RsqrteLUT[4136] = 16'hbc38;
RsqrteLUT[4137] = 16'hbc35;
RsqrteLUT[4138] = 16'hbc32;
RsqrteLUT[4139] = 16'hbc2f;
RsqrteLUT[4140] = 16'hbc2d;
RsqrteLUT[4141] = 16'hbc2a;
RsqrteLUT[4142] = 16'hbc28;
RsqrteLUT[4143] = 16'hbc25;
RsqrteLUT[4144] = 16'hbc23;
RsqrteLUT[4145] = 16'hbc20;
RsqrteLUT[4146] = 16'hbc1e;
RsqrteLUT[4147] = 16'hbc1c;
RsqrteLUT[4148] = 16'hbc19;
RsqrteLUT[4149] = 16'hbc17;
RsqrteLUT[4150] = 16'hbc15;
RsqrteLUT[4151] = 16'hbc13;
RsqrteLUT[4152] = 16'hbc10;
RsqrteLUT[4153] = 16'hbc0e;
RsqrteLUT[4154] = 16'hbc0c;
RsqrteLUT[4155] = 16'hbc0a;
RsqrteLUT[4156] = 16'hbc08;
RsqrteLUT[4157] = 16'hbc06;
RsqrteLUT[4158] = 16'hbc04;
RsqrteLUT[4159] = 16'hbc02;
RsqrteLUT[4160] = 16'hbc00;
RsqrteLUT[4161] = 16'hbbf8;
RsqrteLUT[4162] = 16'hbbf0;
RsqrteLUT[4163] = 16'hbbe8;
RsqrteLUT[4164] = 16'hbbe1;
RsqrteLUT[4165] = 16'hbbda;
RsqrteLUT[4166] = 16'hbbd3;
RsqrteLUT[4167] = 16'hbbcc;
RsqrteLUT[4168] = 16'hbbc5;
RsqrteLUT[4169] = 16'hbbbe;
RsqrteLUT[4170] = 16'hbbb8;
RsqrteLUT[4171] = 16'hbbb1;
RsqrteLUT[4172] = 16'hbbab;
RsqrteLUT[4173] = 16'hbba5;
RsqrteLUT[4174] = 16'hbb9f;
RsqrteLUT[4175] = 16'hbb99;
RsqrteLUT[4176] = 16'hbb93;
RsqrteLUT[4177] = 16'hbb8e;
RsqrteLUT[4178] = 16'hbb88;
RsqrteLUT[4179] = 16'hbb83;
RsqrteLUT[4180] = 16'hbb7d;
RsqrteLUT[4181] = 16'hbb78;
RsqrteLUT[4182] = 16'hbb73;
RsqrteLUT[4183] = 16'hbb6e;
RsqrteLUT[4184] = 16'hbb69;
RsqrteLUT[4185] = 16'hbb64;
RsqrteLUT[4186] = 16'hbb5f;
RsqrteLUT[4187] = 16'hbb5a;
RsqrteLUT[4188] = 16'hbb56;
RsqrteLUT[4189] = 16'hbb51;
RsqrteLUT[4190] = 16'hbb4c;
RsqrteLUT[4191] = 16'hbb48;
RsqrteLUT[4192] = 16'hbb44;
RsqrteLUT[4193] = 16'hbb3f;
RsqrteLUT[4194] = 16'hbb3b;
RsqrteLUT[4195] = 16'hbb37;
RsqrteLUT[4196] = 16'hbb33;
RsqrteLUT[4197] = 16'hbb2f;
RsqrteLUT[4198] = 16'hbb2b;
RsqrteLUT[4199] = 16'hbb27;
RsqrteLUT[4200] = 16'hbb23;
RsqrteLUT[4201] = 16'hbb1f;
RsqrteLUT[4202] = 16'hbb1b;
RsqrteLUT[4203] = 16'hbb17;
RsqrteLUT[4204] = 16'hbb14;
RsqrteLUT[4205] = 16'hbb10;
RsqrteLUT[4206] = 16'hbb0d;
RsqrteLUT[4207] = 16'hbb09;
RsqrteLUT[4208] = 16'hbb06;
RsqrteLUT[4209] = 16'hbb02;
RsqrteLUT[4210] = 16'hbaff;
RsqrteLUT[4211] = 16'hbafb;
RsqrteLUT[4212] = 16'hbaf8;
RsqrteLUT[4213] = 16'hbaf5;
RsqrteLUT[4214] = 16'hbaf2;
RsqrteLUT[4215] = 16'hbaee;
RsqrteLUT[4216] = 16'hbaeb;
RsqrteLUT[4217] = 16'hbae8;
RsqrteLUT[4218] = 16'hbae5;
RsqrteLUT[4219] = 16'hbae2;
RsqrteLUT[4220] = 16'hbadf;
RsqrteLUT[4221] = 16'hbadc;
RsqrteLUT[4222] = 16'hbad9;
RsqrteLUT[4223] = 16'hbad6;
RsqrteLUT[4224] = 16'hbad4;
RsqrteLUT[4225] = 16'hbace;
RsqrteLUT[4226] = 16'hbac9;
RsqrteLUT[4227] = 16'hbac3;
RsqrteLUT[4228] = 16'hbabe;
RsqrteLUT[4229] = 16'hbab9;
RsqrteLUT[4230] = 16'hbab4;
RsqrteLUT[4231] = 16'hbaaf;
RsqrteLUT[4232] = 16'hbaaa;
RsqrteLUT[4233] = 16'hbaa5;
RsqrteLUT[4234] = 16'hbaa1;
RsqrteLUT[4235] = 16'hba9c;
RsqrteLUT[4236] = 16'hba98;
RsqrteLUT[4237] = 16'hba94;
RsqrteLUT[4238] = 16'hba8f;
RsqrteLUT[4239] = 16'hba8b;
RsqrteLUT[4240] = 16'hba87;
RsqrteLUT[4241] = 16'hba83;
RsqrteLUT[4242] = 16'hba7f;
RsqrteLUT[4243] = 16'hba7b;
RsqrteLUT[4244] = 16'hba78;
RsqrteLUT[4245] = 16'hba74;
RsqrteLUT[4246] = 16'hba70;
RsqrteLUT[4247] = 16'hba6d;
RsqrteLUT[4248] = 16'hba69;
RsqrteLUT[4249] = 16'hba66;
RsqrteLUT[4250] = 16'hba62;
RsqrteLUT[4251] = 16'hba5f;
RsqrteLUT[4252] = 16'hba5b;
RsqrteLUT[4253] = 16'hba58;
RsqrteLUT[4254] = 16'hba55;
RsqrteLUT[4255] = 16'hba52;
RsqrteLUT[4256] = 16'hba4f;
RsqrteLUT[4257] = 16'hba4c;
RsqrteLUT[4258] = 16'hba49;
RsqrteLUT[4259] = 16'hba46;
RsqrteLUT[4260] = 16'hba43;
RsqrteLUT[4261] = 16'hba40;
RsqrteLUT[4262] = 16'hba3d;
RsqrteLUT[4263] = 16'hba3a;
RsqrteLUT[4264] = 16'hba38;
RsqrteLUT[4265] = 16'hba35;
RsqrteLUT[4266] = 16'hba32;
RsqrteLUT[4267] = 16'hba2f;
RsqrteLUT[4268] = 16'hba2d;
RsqrteLUT[4269] = 16'hba2a;
RsqrteLUT[4270] = 16'hba28;
RsqrteLUT[4271] = 16'hba25;
RsqrteLUT[4272] = 16'hba23;
RsqrteLUT[4273] = 16'hba20;
RsqrteLUT[4274] = 16'hba1e;
RsqrteLUT[4275] = 16'hba1c;
RsqrteLUT[4276] = 16'hba19;
RsqrteLUT[4277] = 16'hba17;
RsqrteLUT[4278] = 16'hba15;
RsqrteLUT[4279] = 16'hba13;
RsqrteLUT[4280] = 16'hba10;
RsqrteLUT[4281] = 16'hba0e;
RsqrteLUT[4282] = 16'hba0c;
RsqrteLUT[4283] = 16'hba0a;
RsqrteLUT[4284] = 16'hba08;
RsqrteLUT[4285] = 16'hba06;
RsqrteLUT[4286] = 16'hba04;
RsqrteLUT[4287] = 16'hba02;
RsqrteLUT[4288] = 16'hba00;
RsqrteLUT[4289] = 16'hb9f8;
RsqrteLUT[4290] = 16'hb9f0;
RsqrteLUT[4291] = 16'hb9e8;
RsqrteLUT[4292] = 16'hb9e1;
RsqrteLUT[4293] = 16'hb9da;
RsqrteLUT[4294] = 16'hb9d3;
RsqrteLUT[4295] = 16'hb9cc;
RsqrteLUT[4296] = 16'hb9c5;
RsqrteLUT[4297] = 16'hb9be;
RsqrteLUT[4298] = 16'hb9b8;
RsqrteLUT[4299] = 16'hb9b1;
RsqrteLUT[4300] = 16'hb9ab;
RsqrteLUT[4301] = 16'hb9a5;
RsqrteLUT[4302] = 16'hb99f;
RsqrteLUT[4303] = 16'hb999;
RsqrteLUT[4304] = 16'hb993;
RsqrteLUT[4305] = 16'hb98e;
RsqrteLUT[4306] = 16'hb988;
RsqrteLUT[4307] = 16'hb983;
RsqrteLUT[4308] = 16'hb97d;
RsqrteLUT[4309] = 16'hb978;
RsqrteLUT[4310] = 16'hb973;
RsqrteLUT[4311] = 16'hb96e;
RsqrteLUT[4312] = 16'hb969;
RsqrteLUT[4313] = 16'hb964;
RsqrteLUT[4314] = 16'hb95f;
RsqrteLUT[4315] = 16'hb95a;
RsqrteLUT[4316] = 16'hb956;
RsqrteLUT[4317] = 16'hb951;
RsqrteLUT[4318] = 16'hb94c;
RsqrteLUT[4319] = 16'hb948;
RsqrteLUT[4320] = 16'hb944;
RsqrteLUT[4321] = 16'hb93f;
RsqrteLUT[4322] = 16'hb93b;
RsqrteLUT[4323] = 16'hb937;
RsqrteLUT[4324] = 16'hb933;
RsqrteLUT[4325] = 16'hb92f;
RsqrteLUT[4326] = 16'hb92b;
RsqrteLUT[4327] = 16'hb927;
RsqrteLUT[4328] = 16'hb923;
RsqrteLUT[4329] = 16'hb91f;
RsqrteLUT[4330] = 16'hb91b;
RsqrteLUT[4331] = 16'hb917;
RsqrteLUT[4332] = 16'hb914;
RsqrteLUT[4333] = 16'hb910;
RsqrteLUT[4334] = 16'hb90d;
RsqrteLUT[4335] = 16'hb909;
RsqrteLUT[4336] = 16'hb906;
RsqrteLUT[4337] = 16'hb902;
RsqrteLUT[4338] = 16'hb8ff;
RsqrteLUT[4339] = 16'hb8fb;
RsqrteLUT[4340] = 16'hb8f8;
RsqrteLUT[4341] = 16'hb8f5;
RsqrteLUT[4342] = 16'hb8f2;
RsqrteLUT[4343] = 16'hb8ee;
RsqrteLUT[4344] = 16'hb8eb;
RsqrteLUT[4345] = 16'hb8e8;
RsqrteLUT[4346] = 16'hb8e5;
RsqrteLUT[4347] = 16'hb8e2;
RsqrteLUT[4348] = 16'hb8df;
RsqrteLUT[4349] = 16'hb8dc;
RsqrteLUT[4350] = 16'hb8d9;
RsqrteLUT[4351] = 16'hb8d6;
RsqrteLUT[4352] = 16'hb8d4;
RsqrteLUT[4353] = 16'hb8ce;
RsqrteLUT[4354] = 16'hb8c9;
RsqrteLUT[4355] = 16'hb8c3;
RsqrteLUT[4356] = 16'hb8be;
RsqrteLUT[4357] = 16'hb8b9;
RsqrteLUT[4358] = 16'hb8b4;
RsqrteLUT[4359] = 16'hb8af;
RsqrteLUT[4360] = 16'hb8aa;
RsqrteLUT[4361] = 16'hb8a5;
RsqrteLUT[4362] = 16'hb8a1;
RsqrteLUT[4363] = 16'hb89c;
RsqrteLUT[4364] = 16'hb898;
RsqrteLUT[4365] = 16'hb894;
RsqrteLUT[4366] = 16'hb88f;
RsqrteLUT[4367] = 16'hb88b;
RsqrteLUT[4368] = 16'hb887;
RsqrteLUT[4369] = 16'hb883;
RsqrteLUT[4370] = 16'hb87f;
RsqrteLUT[4371] = 16'hb87b;
RsqrteLUT[4372] = 16'hb878;
RsqrteLUT[4373] = 16'hb874;
RsqrteLUT[4374] = 16'hb870;
RsqrteLUT[4375] = 16'hb86d;
RsqrteLUT[4376] = 16'hb869;
RsqrteLUT[4377] = 16'hb866;
RsqrteLUT[4378] = 16'hb862;
RsqrteLUT[4379] = 16'hb85f;
RsqrteLUT[4380] = 16'hb85b;
RsqrteLUT[4381] = 16'hb858;
RsqrteLUT[4382] = 16'hb855;
RsqrteLUT[4383] = 16'hb852;
RsqrteLUT[4384] = 16'hb84f;
RsqrteLUT[4385] = 16'hb84c;
RsqrteLUT[4386] = 16'hb849;
RsqrteLUT[4387] = 16'hb846;
RsqrteLUT[4388] = 16'hb843;
RsqrteLUT[4389] = 16'hb840;
RsqrteLUT[4390] = 16'hb83d;
RsqrteLUT[4391] = 16'hb83a;
RsqrteLUT[4392] = 16'hb838;
RsqrteLUT[4393] = 16'hb835;
RsqrteLUT[4394] = 16'hb832;
RsqrteLUT[4395] = 16'hb82f;
RsqrteLUT[4396] = 16'hb82d;
RsqrteLUT[4397] = 16'hb82a;
RsqrteLUT[4398] = 16'hb828;
RsqrteLUT[4399] = 16'hb825;
RsqrteLUT[4400] = 16'hb823;
RsqrteLUT[4401] = 16'hb820;
RsqrteLUT[4402] = 16'hb81e;
RsqrteLUT[4403] = 16'hb81c;
RsqrteLUT[4404] = 16'hb819;
RsqrteLUT[4405] = 16'hb817;
RsqrteLUT[4406] = 16'hb815;
RsqrteLUT[4407] = 16'hb813;
RsqrteLUT[4408] = 16'hb810;
RsqrteLUT[4409] = 16'hb80e;
RsqrteLUT[4410] = 16'hb80c;
RsqrteLUT[4411] = 16'hb80a;
RsqrteLUT[4412] = 16'hb808;
RsqrteLUT[4413] = 16'hb806;
RsqrteLUT[4414] = 16'hb804;
RsqrteLUT[4415] = 16'hb802;
RsqrteLUT[4416] = 16'hb800;
RsqrteLUT[4417] = 16'hb7f8;
RsqrteLUT[4418] = 16'hb7f0;
RsqrteLUT[4419] = 16'hb7e8;
RsqrteLUT[4420] = 16'hb7e1;
RsqrteLUT[4421] = 16'hb7da;
RsqrteLUT[4422] = 16'hb7d3;
RsqrteLUT[4423] = 16'hb7cc;
RsqrteLUT[4424] = 16'hb7c5;
RsqrteLUT[4425] = 16'hb7be;
RsqrteLUT[4426] = 16'hb7b8;
RsqrteLUT[4427] = 16'hb7b1;
RsqrteLUT[4428] = 16'hb7ab;
RsqrteLUT[4429] = 16'hb7a5;
RsqrteLUT[4430] = 16'hb79f;
RsqrteLUT[4431] = 16'hb799;
RsqrteLUT[4432] = 16'hb793;
RsqrteLUT[4433] = 16'hb78e;
RsqrteLUT[4434] = 16'hb788;
RsqrteLUT[4435] = 16'hb783;
RsqrteLUT[4436] = 16'hb77d;
RsqrteLUT[4437] = 16'hb778;
RsqrteLUT[4438] = 16'hb773;
RsqrteLUT[4439] = 16'hb76e;
RsqrteLUT[4440] = 16'hb769;
RsqrteLUT[4441] = 16'hb764;
RsqrteLUT[4442] = 16'hb75f;
RsqrteLUT[4443] = 16'hb75a;
RsqrteLUT[4444] = 16'hb756;
RsqrteLUT[4445] = 16'hb751;
RsqrteLUT[4446] = 16'hb74c;
RsqrteLUT[4447] = 16'hb748;
RsqrteLUT[4448] = 16'hb744;
RsqrteLUT[4449] = 16'hb73f;
RsqrteLUT[4450] = 16'hb73b;
RsqrteLUT[4451] = 16'hb737;
RsqrteLUT[4452] = 16'hb733;
RsqrteLUT[4453] = 16'hb72f;
RsqrteLUT[4454] = 16'hb72b;
RsqrteLUT[4455] = 16'hb727;
RsqrteLUT[4456] = 16'hb723;
RsqrteLUT[4457] = 16'hb71f;
RsqrteLUT[4458] = 16'hb71b;
RsqrteLUT[4459] = 16'hb717;
RsqrteLUT[4460] = 16'hb714;
RsqrteLUT[4461] = 16'hb710;
RsqrteLUT[4462] = 16'hb70d;
RsqrteLUT[4463] = 16'hb709;
RsqrteLUT[4464] = 16'hb706;
RsqrteLUT[4465] = 16'hb702;
RsqrteLUT[4466] = 16'hb6ff;
RsqrteLUT[4467] = 16'hb6fb;
RsqrteLUT[4468] = 16'hb6f8;
RsqrteLUT[4469] = 16'hb6f5;
RsqrteLUT[4470] = 16'hb6f2;
RsqrteLUT[4471] = 16'hb6ee;
RsqrteLUT[4472] = 16'hb6eb;
RsqrteLUT[4473] = 16'hb6e8;
RsqrteLUT[4474] = 16'hb6e5;
RsqrteLUT[4475] = 16'hb6e2;
RsqrteLUT[4476] = 16'hb6df;
RsqrteLUT[4477] = 16'hb6dc;
RsqrteLUT[4478] = 16'hb6d9;
RsqrteLUT[4479] = 16'hb6d6;
RsqrteLUT[4480] = 16'hb6d4;
RsqrteLUT[4481] = 16'hb6ce;
RsqrteLUT[4482] = 16'hb6c9;
RsqrteLUT[4483] = 16'hb6c3;
RsqrteLUT[4484] = 16'hb6be;
RsqrteLUT[4485] = 16'hb6b9;
RsqrteLUT[4486] = 16'hb6b4;
RsqrteLUT[4487] = 16'hb6af;
RsqrteLUT[4488] = 16'hb6aa;
RsqrteLUT[4489] = 16'hb6a5;
RsqrteLUT[4490] = 16'hb6a1;
RsqrteLUT[4491] = 16'hb69c;
RsqrteLUT[4492] = 16'hb698;
RsqrteLUT[4493] = 16'hb694;
RsqrteLUT[4494] = 16'hb68f;
RsqrteLUT[4495] = 16'hb68b;
RsqrteLUT[4496] = 16'hb687;
RsqrteLUT[4497] = 16'hb683;
RsqrteLUT[4498] = 16'hb67f;
RsqrteLUT[4499] = 16'hb67b;
RsqrteLUT[4500] = 16'hb678;
RsqrteLUT[4501] = 16'hb674;
RsqrteLUT[4502] = 16'hb670;
RsqrteLUT[4503] = 16'hb66d;
RsqrteLUT[4504] = 16'hb669;
RsqrteLUT[4505] = 16'hb666;
RsqrteLUT[4506] = 16'hb662;
RsqrteLUT[4507] = 16'hb65f;
RsqrteLUT[4508] = 16'hb65b;
RsqrteLUT[4509] = 16'hb658;
RsqrteLUT[4510] = 16'hb655;
RsqrteLUT[4511] = 16'hb652;
RsqrteLUT[4512] = 16'hb64f;
RsqrteLUT[4513] = 16'hb64c;
RsqrteLUT[4514] = 16'hb649;
RsqrteLUT[4515] = 16'hb646;
RsqrteLUT[4516] = 16'hb643;
RsqrteLUT[4517] = 16'hb640;
RsqrteLUT[4518] = 16'hb63d;
RsqrteLUT[4519] = 16'hb63a;
RsqrteLUT[4520] = 16'hb638;
RsqrteLUT[4521] = 16'hb635;
RsqrteLUT[4522] = 16'hb632;
RsqrteLUT[4523] = 16'hb62f;
RsqrteLUT[4524] = 16'hb62d;
RsqrteLUT[4525] = 16'hb62a;
RsqrteLUT[4526] = 16'hb628;
RsqrteLUT[4527] = 16'hb625;
RsqrteLUT[4528] = 16'hb623;
RsqrteLUT[4529] = 16'hb620;
RsqrteLUT[4530] = 16'hb61e;
RsqrteLUT[4531] = 16'hb61c;
RsqrteLUT[4532] = 16'hb619;
RsqrteLUT[4533] = 16'hb617;
RsqrteLUT[4534] = 16'hb615;
RsqrteLUT[4535] = 16'hb613;
RsqrteLUT[4536] = 16'hb610;
RsqrteLUT[4537] = 16'hb60e;
RsqrteLUT[4538] = 16'hb60c;
RsqrteLUT[4539] = 16'hb60a;
RsqrteLUT[4540] = 16'hb608;
RsqrteLUT[4541] = 16'hb606;
RsqrteLUT[4542] = 16'hb604;
RsqrteLUT[4543] = 16'hb602;
RsqrteLUT[4544] = 16'hb600;
RsqrteLUT[4545] = 16'hb5f8;
RsqrteLUT[4546] = 16'hb5f0;
RsqrteLUT[4547] = 16'hb5e8;
RsqrteLUT[4548] = 16'hb5e1;
RsqrteLUT[4549] = 16'hb5da;
RsqrteLUT[4550] = 16'hb5d3;
RsqrteLUT[4551] = 16'hb5cc;
RsqrteLUT[4552] = 16'hb5c5;
RsqrteLUT[4553] = 16'hb5be;
RsqrteLUT[4554] = 16'hb5b8;
RsqrteLUT[4555] = 16'hb5b1;
RsqrteLUT[4556] = 16'hb5ab;
RsqrteLUT[4557] = 16'hb5a5;
RsqrteLUT[4558] = 16'hb59f;
RsqrteLUT[4559] = 16'hb599;
RsqrteLUT[4560] = 16'hb593;
RsqrteLUT[4561] = 16'hb58e;
RsqrteLUT[4562] = 16'hb588;
RsqrteLUT[4563] = 16'hb583;
RsqrteLUT[4564] = 16'hb57d;
RsqrteLUT[4565] = 16'hb578;
RsqrteLUT[4566] = 16'hb573;
RsqrteLUT[4567] = 16'hb56e;
RsqrteLUT[4568] = 16'hb569;
RsqrteLUT[4569] = 16'hb564;
RsqrteLUT[4570] = 16'hb55f;
RsqrteLUT[4571] = 16'hb55a;
RsqrteLUT[4572] = 16'hb556;
RsqrteLUT[4573] = 16'hb551;
RsqrteLUT[4574] = 16'hb54c;
RsqrteLUT[4575] = 16'hb548;
RsqrteLUT[4576] = 16'hb544;
RsqrteLUT[4577] = 16'hb53f;
RsqrteLUT[4578] = 16'hb53b;
RsqrteLUT[4579] = 16'hb537;
RsqrteLUT[4580] = 16'hb533;
RsqrteLUT[4581] = 16'hb52f;
RsqrteLUT[4582] = 16'hb52b;
RsqrteLUT[4583] = 16'hb527;
RsqrteLUT[4584] = 16'hb523;
RsqrteLUT[4585] = 16'hb51f;
RsqrteLUT[4586] = 16'hb51b;
RsqrteLUT[4587] = 16'hb517;
RsqrteLUT[4588] = 16'hb514;
RsqrteLUT[4589] = 16'hb510;
RsqrteLUT[4590] = 16'hb50d;
RsqrteLUT[4591] = 16'hb509;
RsqrteLUT[4592] = 16'hb506;
RsqrteLUT[4593] = 16'hb502;
RsqrteLUT[4594] = 16'hb4ff;
RsqrteLUT[4595] = 16'hb4fb;
RsqrteLUT[4596] = 16'hb4f8;
RsqrteLUT[4597] = 16'hb4f5;
RsqrteLUT[4598] = 16'hb4f2;
RsqrteLUT[4599] = 16'hb4ee;
RsqrteLUT[4600] = 16'hb4eb;
RsqrteLUT[4601] = 16'hb4e8;
RsqrteLUT[4602] = 16'hb4e5;
RsqrteLUT[4603] = 16'hb4e2;
RsqrteLUT[4604] = 16'hb4df;
RsqrteLUT[4605] = 16'hb4dc;
RsqrteLUT[4606] = 16'hb4d9;
RsqrteLUT[4607] = 16'hb4d6;
RsqrteLUT[4608] = 16'hb4d4;
RsqrteLUT[4609] = 16'hb4ce;
RsqrteLUT[4610] = 16'hb4c9;
RsqrteLUT[4611] = 16'hb4c3;
RsqrteLUT[4612] = 16'hb4be;
RsqrteLUT[4613] = 16'hb4b9;
RsqrteLUT[4614] = 16'hb4b4;
RsqrteLUT[4615] = 16'hb4af;
RsqrteLUT[4616] = 16'hb4aa;
RsqrteLUT[4617] = 16'hb4a5;
RsqrteLUT[4618] = 16'hb4a1;
RsqrteLUT[4619] = 16'hb49c;
RsqrteLUT[4620] = 16'hb498;
RsqrteLUT[4621] = 16'hb494;
RsqrteLUT[4622] = 16'hb48f;
RsqrteLUT[4623] = 16'hb48b;
RsqrteLUT[4624] = 16'hb487;
RsqrteLUT[4625] = 16'hb483;
RsqrteLUT[4626] = 16'hb47f;
RsqrteLUT[4627] = 16'hb47b;
RsqrteLUT[4628] = 16'hb478;
RsqrteLUT[4629] = 16'hb474;
RsqrteLUT[4630] = 16'hb470;
RsqrteLUT[4631] = 16'hb46d;
RsqrteLUT[4632] = 16'hb469;
RsqrteLUT[4633] = 16'hb466;
RsqrteLUT[4634] = 16'hb462;
RsqrteLUT[4635] = 16'hb45f;
RsqrteLUT[4636] = 16'hb45b;
RsqrteLUT[4637] = 16'hb458;
RsqrteLUT[4638] = 16'hb455;
RsqrteLUT[4639] = 16'hb452;
RsqrteLUT[4640] = 16'hb44f;
RsqrteLUT[4641] = 16'hb44c;
RsqrteLUT[4642] = 16'hb449;
RsqrteLUT[4643] = 16'hb446;
RsqrteLUT[4644] = 16'hb443;
RsqrteLUT[4645] = 16'hb440;
RsqrteLUT[4646] = 16'hb43d;
RsqrteLUT[4647] = 16'hb43a;
RsqrteLUT[4648] = 16'hb438;
RsqrteLUT[4649] = 16'hb435;
RsqrteLUT[4650] = 16'hb432;
RsqrteLUT[4651] = 16'hb42f;
RsqrteLUT[4652] = 16'hb42d;
RsqrteLUT[4653] = 16'hb42a;
RsqrteLUT[4654] = 16'hb428;
RsqrteLUT[4655] = 16'hb425;
RsqrteLUT[4656] = 16'hb423;
RsqrteLUT[4657] = 16'hb420;
RsqrteLUT[4658] = 16'hb41e;
RsqrteLUT[4659] = 16'hb41c;
RsqrteLUT[4660] = 16'hb419;
RsqrteLUT[4661] = 16'hb417;
RsqrteLUT[4662] = 16'hb415;
RsqrteLUT[4663] = 16'hb413;
RsqrteLUT[4664] = 16'hb410;
RsqrteLUT[4665] = 16'hb40e;
RsqrteLUT[4666] = 16'hb40c;
RsqrteLUT[4667] = 16'hb40a;
RsqrteLUT[4668] = 16'hb408;
RsqrteLUT[4669] = 16'hb406;
RsqrteLUT[4670] = 16'hb404;
RsqrteLUT[4671] = 16'hb402;
RsqrteLUT[4672] = 16'hb400;
RsqrteLUT[4673] = 16'hb3f8;
RsqrteLUT[4674] = 16'hb3f0;
RsqrteLUT[4675] = 16'hb3e8;
RsqrteLUT[4676] = 16'hb3e1;
RsqrteLUT[4677] = 16'hb3da;
RsqrteLUT[4678] = 16'hb3d3;
RsqrteLUT[4679] = 16'hb3cc;
RsqrteLUT[4680] = 16'hb3c5;
RsqrteLUT[4681] = 16'hb3be;
RsqrteLUT[4682] = 16'hb3b8;
RsqrteLUT[4683] = 16'hb3b1;
RsqrteLUT[4684] = 16'hb3ab;
RsqrteLUT[4685] = 16'hb3a5;
RsqrteLUT[4686] = 16'hb39f;
RsqrteLUT[4687] = 16'hb399;
RsqrteLUT[4688] = 16'hb393;
RsqrteLUT[4689] = 16'hb38e;
RsqrteLUT[4690] = 16'hb388;
RsqrteLUT[4691] = 16'hb383;
RsqrteLUT[4692] = 16'hb37d;
RsqrteLUT[4693] = 16'hb378;
RsqrteLUT[4694] = 16'hb373;
RsqrteLUT[4695] = 16'hb36e;
RsqrteLUT[4696] = 16'hb369;
RsqrteLUT[4697] = 16'hb364;
RsqrteLUT[4698] = 16'hb35f;
RsqrteLUT[4699] = 16'hb35a;
RsqrteLUT[4700] = 16'hb356;
RsqrteLUT[4701] = 16'hb351;
RsqrteLUT[4702] = 16'hb34c;
RsqrteLUT[4703] = 16'hb348;
RsqrteLUT[4704] = 16'hb344;
RsqrteLUT[4705] = 16'hb33f;
RsqrteLUT[4706] = 16'hb33b;
RsqrteLUT[4707] = 16'hb337;
RsqrteLUT[4708] = 16'hb333;
RsqrteLUT[4709] = 16'hb32f;
RsqrteLUT[4710] = 16'hb32b;
RsqrteLUT[4711] = 16'hb327;
RsqrteLUT[4712] = 16'hb323;
RsqrteLUT[4713] = 16'hb31f;
RsqrteLUT[4714] = 16'hb31b;
RsqrteLUT[4715] = 16'hb317;
RsqrteLUT[4716] = 16'hb314;
RsqrteLUT[4717] = 16'hb310;
RsqrteLUT[4718] = 16'hb30d;
RsqrteLUT[4719] = 16'hb309;
RsqrteLUT[4720] = 16'hb306;
RsqrteLUT[4721] = 16'hb302;
RsqrteLUT[4722] = 16'hb2ff;
RsqrteLUT[4723] = 16'hb2fb;
RsqrteLUT[4724] = 16'hb2f8;
RsqrteLUT[4725] = 16'hb2f5;
RsqrteLUT[4726] = 16'hb2f2;
RsqrteLUT[4727] = 16'hb2ee;
RsqrteLUT[4728] = 16'hb2eb;
RsqrteLUT[4729] = 16'hb2e8;
RsqrteLUT[4730] = 16'hb2e5;
RsqrteLUT[4731] = 16'hb2e2;
RsqrteLUT[4732] = 16'hb2df;
RsqrteLUT[4733] = 16'hb2dc;
RsqrteLUT[4734] = 16'hb2d9;
RsqrteLUT[4735] = 16'hb2d6;
RsqrteLUT[4736] = 16'hb2d4;
RsqrteLUT[4737] = 16'hb2ce;
RsqrteLUT[4738] = 16'hb2c9;
RsqrteLUT[4739] = 16'hb2c3;
RsqrteLUT[4740] = 16'hb2be;
RsqrteLUT[4741] = 16'hb2b9;
RsqrteLUT[4742] = 16'hb2b4;
RsqrteLUT[4743] = 16'hb2af;
RsqrteLUT[4744] = 16'hb2aa;
RsqrteLUT[4745] = 16'hb2a5;
RsqrteLUT[4746] = 16'hb2a1;
RsqrteLUT[4747] = 16'hb29c;
RsqrteLUT[4748] = 16'hb298;
RsqrteLUT[4749] = 16'hb294;
RsqrteLUT[4750] = 16'hb28f;
RsqrteLUT[4751] = 16'hb28b;
RsqrteLUT[4752] = 16'hb287;
RsqrteLUT[4753] = 16'hb283;
RsqrteLUT[4754] = 16'hb27f;
RsqrteLUT[4755] = 16'hb27b;
RsqrteLUT[4756] = 16'hb278;
RsqrteLUT[4757] = 16'hb274;
RsqrteLUT[4758] = 16'hb270;
RsqrteLUT[4759] = 16'hb26d;
RsqrteLUT[4760] = 16'hb269;
RsqrteLUT[4761] = 16'hb266;
RsqrteLUT[4762] = 16'hb262;
RsqrteLUT[4763] = 16'hb25f;
RsqrteLUT[4764] = 16'hb25b;
RsqrteLUT[4765] = 16'hb258;
RsqrteLUT[4766] = 16'hb255;
RsqrteLUT[4767] = 16'hb252;
RsqrteLUT[4768] = 16'hb24f;
RsqrteLUT[4769] = 16'hb24c;
RsqrteLUT[4770] = 16'hb249;
RsqrteLUT[4771] = 16'hb246;
RsqrteLUT[4772] = 16'hb243;
RsqrteLUT[4773] = 16'hb240;
RsqrteLUT[4774] = 16'hb23d;
RsqrteLUT[4775] = 16'hb23a;
RsqrteLUT[4776] = 16'hb238;
RsqrteLUT[4777] = 16'hb235;
RsqrteLUT[4778] = 16'hb232;
RsqrteLUT[4779] = 16'hb22f;
RsqrteLUT[4780] = 16'hb22d;
RsqrteLUT[4781] = 16'hb22a;
RsqrteLUT[4782] = 16'hb228;
RsqrteLUT[4783] = 16'hb225;
RsqrteLUT[4784] = 16'hb223;
RsqrteLUT[4785] = 16'hb220;
RsqrteLUT[4786] = 16'hb21e;
RsqrteLUT[4787] = 16'hb21c;
RsqrteLUT[4788] = 16'hb219;
RsqrteLUT[4789] = 16'hb217;
RsqrteLUT[4790] = 16'hb215;
RsqrteLUT[4791] = 16'hb213;
RsqrteLUT[4792] = 16'hb210;
RsqrteLUT[4793] = 16'hb20e;
RsqrteLUT[4794] = 16'hb20c;
RsqrteLUT[4795] = 16'hb20a;
RsqrteLUT[4796] = 16'hb208;
RsqrteLUT[4797] = 16'hb206;
RsqrteLUT[4798] = 16'hb204;
RsqrteLUT[4799] = 16'hb202;
RsqrteLUT[4800] = 16'hb200;
RsqrteLUT[4801] = 16'hb1f8;
RsqrteLUT[4802] = 16'hb1f0;
RsqrteLUT[4803] = 16'hb1e8;
RsqrteLUT[4804] = 16'hb1e1;
RsqrteLUT[4805] = 16'hb1da;
RsqrteLUT[4806] = 16'hb1d3;
RsqrteLUT[4807] = 16'hb1cc;
RsqrteLUT[4808] = 16'hb1c5;
RsqrteLUT[4809] = 16'hb1be;
RsqrteLUT[4810] = 16'hb1b8;
RsqrteLUT[4811] = 16'hb1b1;
RsqrteLUT[4812] = 16'hb1ab;
RsqrteLUT[4813] = 16'hb1a5;
RsqrteLUT[4814] = 16'hb19f;
RsqrteLUT[4815] = 16'hb199;
RsqrteLUT[4816] = 16'hb193;
RsqrteLUT[4817] = 16'hb18e;
RsqrteLUT[4818] = 16'hb188;
RsqrteLUT[4819] = 16'hb183;
RsqrteLUT[4820] = 16'hb17d;
RsqrteLUT[4821] = 16'hb178;
RsqrteLUT[4822] = 16'hb173;
RsqrteLUT[4823] = 16'hb16e;
RsqrteLUT[4824] = 16'hb169;
RsqrteLUT[4825] = 16'hb164;
RsqrteLUT[4826] = 16'hb15f;
RsqrteLUT[4827] = 16'hb15a;
RsqrteLUT[4828] = 16'hb156;
RsqrteLUT[4829] = 16'hb151;
RsqrteLUT[4830] = 16'hb14c;
RsqrteLUT[4831] = 16'hb148;
RsqrteLUT[4832] = 16'hb144;
RsqrteLUT[4833] = 16'hb13f;
RsqrteLUT[4834] = 16'hb13b;
RsqrteLUT[4835] = 16'hb137;
RsqrteLUT[4836] = 16'hb133;
RsqrteLUT[4837] = 16'hb12f;
RsqrteLUT[4838] = 16'hb12b;
RsqrteLUT[4839] = 16'hb127;
RsqrteLUT[4840] = 16'hb123;
RsqrteLUT[4841] = 16'hb11f;
RsqrteLUT[4842] = 16'hb11b;
RsqrteLUT[4843] = 16'hb117;
RsqrteLUT[4844] = 16'hb114;
RsqrteLUT[4845] = 16'hb110;
RsqrteLUT[4846] = 16'hb10d;
RsqrteLUT[4847] = 16'hb109;
RsqrteLUT[4848] = 16'hb106;
RsqrteLUT[4849] = 16'hb102;
RsqrteLUT[4850] = 16'hb0ff;
RsqrteLUT[4851] = 16'hb0fb;
RsqrteLUT[4852] = 16'hb0f8;
RsqrteLUT[4853] = 16'hb0f5;
RsqrteLUT[4854] = 16'hb0f2;
RsqrteLUT[4855] = 16'hb0ee;
RsqrteLUT[4856] = 16'hb0eb;
RsqrteLUT[4857] = 16'hb0e8;
RsqrteLUT[4858] = 16'hb0e5;
RsqrteLUT[4859] = 16'hb0e2;
RsqrteLUT[4860] = 16'hb0df;
RsqrteLUT[4861] = 16'hb0dc;
RsqrteLUT[4862] = 16'hb0d9;
RsqrteLUT[4863] = 16'hb0d6;
RsqrteLUT[4864] = 16'hb0d4;
RsqrteLUT[4865] = 16'hb0ce;
RsqrteLUT[4866] = 16'hb0c9;
RsqrteLUT[4867] = 16'hb0c3;
RsqrteLUT[4868] = 16'hb0be;
RsqrteLUT[4869] = 16'hb0b9;
RsqrteLUT[4870] = 16'hb0b4;
RsqrteLUT[4871] = 16'hb0af;
RsqrteLUT[4872] = 16'hb0aa;
RsqrteLUT[4873] = 16'hb0a5;
RsqrteLUT[4874] = 16'hb0a1;
RsqrteLUT[4875] = 16'hb09c;
RsqrteLUT[4876] = 16'hb098;
RsqrteLUT[4877] = 16'hb094;
RsqrteLUT[4878] = 16'hb08f;
RsqrteLUT[4879] = 16'hb08b;
RsqrteLUT[4880] = 16'hb087;
RsqrteLUT[4881] = 16'hb083;
RsqrteLUT[4882] = 16'hb07f;
RsqrteLUT[4883] = 16'hb07b;
RsqrteLUT[4884] = 16'hb078;
RsqrteLUT[4885] = 16'hb074;
RsqrteLUT[4886] = 16'hb070;
RsqrteLUT[4887] = 16'hb06d;
RsqrteLUT[4888] = 16'hb069;
RsqrteLUT[4889] = 16'hb066;
RsqrteLUT[4890] = 16'hb062;
RsqrteLUT[4891] = 16'hb05f;
RsqrteLUT[4892] = 16'hb05b;
RsqrteLUT[4893] = 16'hb058;
RsqrteLUT[4894] = 16'hb055;
RsqrteLUT[4895] = 16'hb052;
RsqrteLUT[4896] = 16'hb04f;
RsqrteLUT[4897] = 16'hb04c;
RsqrteLUT[4898] = 16'hb049;
RsqrteLUT[4899] = 16'hb046;
RsqrteLUT[4900] = 16'hb043;
RsqrteLUT[4901] = 16'hb040;
RsqrteLUT[4902] = 16'hb03d;
RsqrteLUT[4903] = 16'hb03a;
RsqrteLUT[4904] = 16'hb038;
RsqrteLUT[4905] = 16'hb035;
RsqrteLUT[4906] = 16'hb032;
RsqrteLUT[4907] = 16'hb02f;
RsqrteLUT[4908] = 16'hb02d;
RsqrteLUT[4909] = 16'hb02a;
RsqrteLUT[4910] = 16'hb028;
RsqrteLUT[4911] = 16'hb025;
RsqrteLUT[4912] = 16'hb023;
RsqrteLUT[4913] = 16'hb020;
RsqrteLUT[4914] = 16'hb01e;
RsqrteLUT[4915] = 16'hb01c;
RsqrteLUT[4916] = 16'hb019;
RsqrteLUT[4917] = 16'hb017;
RsqrteLUT[4918] = 16'hb015;
RsqrteLUT[4919] = 16'hb013;
RsqrteLUT[4920] = 16'hb010;
RsqrteLUT[4921] = 16'hb00e;
RsqrteLUT[4922] = 16'hb00c;
RsqrteLUT[4923] = 16'hb00a;
RsqrteLUT[4924] = 16'hb008;
RsqrteLUT[4925] = 16'hb006;
RsqrteLUT[4926] = 16'hb004;
RsqrteLUT[4927] = 16'hb002;
RsqrteLUT[4928] = 16'hb000;
RsqrteLUT[4929] = 16'haff8;
RsqrteLUT[4930] = 16'haff0;
RsqrteLUT[4931] = 16'hafe8;
RsqrteLUT[4932] = 16'hafe1;
RsqrteLUT[4933] = 16'hafda;
RsqrteLUT[4934] = 16'hafd3;
RsqrteLUT[4935] = 16'hafcc;
RsqrteLUT[4936] = 16'hafc5;
RsqrteLUT[4937] = 16'hafbe;
RsqrteLUT[4938] = 16'hafb8;
RsqrteLUT[4939] = 16'hafb1;
RsqrteLUT[4940] = 16'hafab;
RsqrteLUT[4941] = 16'hafa5;
RsqrteLUT[4942] = 16'haf9f;
RsqrteLUT[4943] = 16'haf99;
RsqrteLUT[4944] = 16'haf93;
RsqrteLUT[4945] = 16'haf8e;
RsqrteLUT[4946] = 16'haf88;
RsqrteLUT[4947] = 16'haf83;
RsqrteLUT[4948] = 16'haf7d;
RsqrteLUT[4949] = 16'haf78;
RsqrteLUT[4950] = 16'haf73;
RsqrteLUT[4951] = 16'haf6e;
RsqrteLUT[4952] = 16'haf69;
RsqrteLUT[4953] = 16'haf64;
RsqrteLUT[4954] = 16'haf5f;
RsqrteLUT[4955] = 16'haf5a;
RsqrteLUT[4956] = 16'haf56;
RsqrteLUT[4957] = 16'haf51;
RsqrteLUT[4958] = 16'haf4c;
RsqrteLUT[4959] = 16'haf48;
RsqrteLUT[4960] = 16'haf44;
RsqrteLUT[4961] = 16'haf3f;
RsqrteLUT[4962] = 16'haf3b;
RsqrteLUT[4963] = 16'haf37;
RsqrteLUT[4964] = 16'haf33;
RsqrteLUT[4965] = 16'haf2f;
RsqrteLUT[4966] = 16'haf2b;
RsqrteLUT[4967] = 16'haf27;
RsqrteLUT[4968] = 16'haf23;
RsqrteLUT[4969] = 16'haf1f;
RsqrteLUT[4970] = 16'haf1b;
RsqrteLUT[4971] = 16'haf17;
RsqrteLUT[4972] = 16'haf14;
RsqrteLUT[4973] = 16'haf10;
RsqrteLUT[4974] = 16'haf0d;
RsqrteLUT[4975] = 16'haf09;
RsqrteLUT[4976] = 16'haf06;
RsqrteLUT[4977] = 16'haf02;
RsqrteLUT[4978] = 16'haeff;
RsqrteLUT[4979] = 16'haefb;
RsqrteLUT[4980] = 16'haef8;
RsqrteLUT[4981] = 16'haef5;
RsqrteLUT[4982] = 16'haef2;
RsqrteLUT[4983] = 16'haeee;
RsqrteLUT[4984] = 16'haeeb;
RsqrteLUT[4985] = 16'haee8;
RsqrteLUT[4986] = 16'haee5;
RsqrteLUT[4987] = 16'haee2;
RsqrteLUT[4988] = 16'haedf;
RsqrteLUT[4989] = 16'haedc;
RsqrteLUT[4990] = 16'haed9;
RsqrteLUT[4991] = 16'haed6;
RsqrteLUT[4992] = 16'haed4;
RsqrteLUT[4993] = 16'haece;
RsqrteLUT[4994] = 16'haec9;
RsqrteLUT[4995] = 16'haec3;
RsqrteLUT[4996] = 16'haebe;
RsqrteLUT[4997] = 16'haeb9;
RsqrteLUT[4998] = 16'haeb4;
RsqrteLUT[4999] = 16'haeaf;
RsqrteLUT[5000] = 16'haeaa;
RsqrteLUT[5001] = 16'haea5;
RsqrteLUT[5002] = 16'haea1;
RsqrteLUT[5003] = 16'hae9c;
RsqrteLUT[5004] = 16'hae98;
RsqrteLUT[5005] = 16'hae94;
RsqrteLUT[5006] = 16'hae8f;
RsqrteLUT[5007] = 16'hae8b;
RsqrteLUT[5008] = 16'hae87;
RsqrteLUT[5009] = 16'hae83;
RsqrteLUT[5010] = 16'hae7f;
RsqrteLUT[5011] = 16'hae7b;
RsqrteLUT[5012] = 16'hae78;
RsqrteLUT[5013] = 16'hae74;
RsqrteLUT[5014] = 16'hae70;
RsqrteLUT[5015] = 16'hae6d;
RsqrteLUT[5016] = 16'hae69;
RsqrteLUT[5017] = 16'hae66;
RsqrteLUT[5018] = 16'hae62;
RsqrteLUT[5019] = 16'hae5f;
RsqrteLUT[5020] = 16'hae5b;
RsqrteLUT[5021] = 16'hae58;
RsqrteLUT[5022] = 16'hae55;
RsqrteLUT[5023] = 16'hae52;
RsqrteLUT[5024] = 16'hae4f;
RsqrteLUT[5025] = 16'hae4c;
RsqrteLUT[5026] = 16'hae49;
RsqrteLUT[5027] = 16'hae46;
RsqrteLUT[5028] = 16'hae43;
RsqrteLUT[5029] = 16'hae40;
RsqrteLUT[5030] = 16'hae3d;
RsqrteLUT[5031] = 16'hae3a;
RsqrteLUT[5032] = 16'hae38;
RsqrteLUT[5033] = 16'hae35;
RsqrteLUT[5034] = 16'hae32;
RsqrteLUT[5035] = 16'hae2f;
RsqrteLUT[5036] = 16'hae2d;
RsqrteLUT[5037] = 16'hae2a;
RsqrteLUT[5038] = 16'hae28;
RsqrteLUT[5039] = 16'hae25;
RsqrteLUT[5040] = 16'hae23;
RsqrteLUT[5041] = 16'hae20;
RsqrteLUT[5042] = 16'hae1e;
RsqrteLUT[5043] = 16'hae1c;
RsqrteLUT[5044] = 16'hae19;
RsqrteLUT[5045] = 16'hae17;
RsqrteLUT[5046] = 16'hae15;
RsqrteLUT[5047] = 16'hae13;
RsqrteLUT[5048] = 16'hae10;
RsqrteLUT[5049] = 16'hae0e;
RsqrteLUT[5050] = 16'hae0c;
RsqrteLUT[5051] = 16'hae0a;
RsqrteLUT[5052] = 16'hae08;
RsqrteLUT[5053] = 16'hae06;
RsqrteLUT[5054] = 16'hae04;
RsqrteLUT[5055] = 16'hae02;
RsqrteLUT[5056] = 16'hae00;
RsqrteLUT[5057] = 16'hadf8;
RsqrteLUT[5058] = 16'hadf0;
RsqrteLUT[5059] = 16'hade8;
RsqrteLUT[5060] = 16'hade1;
RsqrteLUT[5061] = 16'hadda;
RsqrteLUT[5062] = 16'hadd3;
RsqrteLUT[5063] = 16'hadcc;
RsqrteLUT[5064] = 16'hadc5;
RsqrteLUT[5065] = 16'hadbe;
RsqrteLUT[5066] = 16'hadb8;
RsqrteLUT[5067] = 16'hadb1;
RsqrteLUT[5068] = 16'hadab;
RsqrteLUT[5069] = 16'hada5;
RsqrteLUT[5070] = 16'had9f;
RsqrteLUT[5071] = 16'had99;
RsqrteLUT[5072] = 16'had93;
RsqrteLUT[5073] = 16'had8e;
RsqrteLUT[5074] = 16'had88;
RsqrteLUT[5075] = 16'had83;
RsqrteLUT[5076] = 16'had7d;
RsqrteLUT[5077] = 16'had78;
RsqrteLUT[5078] = 16'had73;
RsqrteLUT[5079] = 16'had6e;
RsqrteLUT[5080] = 16'had69;
RsqrteLUT[5081] = 16'had64;
RsqrteLUT[5082] = 16'had5f;
RsqrteLUT[5083] = 16'had5a;
RsqrteLUT[5084] = 16'had56;
RsqrteLUT[5085] = 16'had51;
RsqrteLUT[5086] = 16'had4c;
RsqrteLUT[5087] = 16'had48;
RsqrteLUT[5088] = 16'had44;
RsqrteLUT[5089] = 16'had3f;
RsqrteLUT[5090] = 16'had3b;
RsqrteLUT[5091] = 16'had37;
RsqrteLUT[5092] = 16'had33;
RsqrteLUT[5093] = 16'had2f;
RsqrteLUT[5094] = 16'had2b;
RsqrteLUT[5095] = 16'had27;
RsqrteLUT[5096] = 16'had23;
RsqrteLUT[5097] = 16'had1f;
RsqrteLUT[5098] = 16'had1b;
RsqrteLUT[5099] = 16'had17;
RsqrteLUT[5100] = 16'had14;
RsqrteLUT[5101] = 16'had10;
RsqrteLUT[5102] = 16'had0d;
RsqrteLUT[5103] = 16'had09;
RsqrteLUT[5104] = 16'had06;
RsqrteLUT[5105] = 16'had02;
RsqrteLUT[5106] = 16'hacff;
RsqrteLUT[5107] = 16'hacfb;
RsqrteLUT[5108] = 16'hacf8;
RsqrteLUT[5109] = 16'hacf5;
RsqrteLUT[5110] = 16'hacf2;
RsqrteLUT[5111] = 16'hacee;
RsqrteLUT[5112] = 16'haceb;
RsqrteLUT[5113] = 16'hace8;
RsqrteLUT[5114] = 16'hace5;
RsqrteLUT[5115] = 16'hace2;
RsqrteLUT[5116] = 16'hacdf;
RsqrteLUT[5117] = 16'hacdc;
RsqrteLUT[5118] = 16'hacd9;
RsqrteLUT[5119] = 16'hacd6;
RsqrteLUT[5120] = 16'hacd4;
RsqrteLUT[5121] = 16'hacce;
RsqrteLUT[5122] = 16'hacc9;
RsqrteLUT[5123] = 16'hacc3;
RsqrteLUT[5124] = 16'hacbe;
RsqrteLUT[5125] = 16'hacb9;
RsqrteLUT[5126] = 16'hacb4;
RsqrteLUT[5127] = 16'hacaf;
RsqrteLUT[5128] = 16'hacaa;
RsqrteLUT[5129] = 16'haca5;
RsqrteLUT[5130] = 16'haca1;
RsqrteLUT[5131] = 16'hac9c;
RsqrteLUT[5132] = 16'hac98;
RsqrteLUT[5133] = 16'hac94;
RsqrteLUT[5134] = 16'hac8f;
RsqrteLUT[5135] = 16'hac8b;
RsqrteLUT[5136] = 16'hac87;
RsqrteLUT[5137] = 16'hac83;
RsqrteLUT[5138] = 16'hac7f;
RsqrteLUT[5139] = 16'hac7b;
RsqrteLUT[5140] = 16'hac78;
RsqrteLUT[5141] = 16'hac74;
RsqrteLUT[5142] = 16'hac70;
RsqrteLUT[5143] = 16'hac6d;
RsqrteLUT[5144] = 16'hac69;
RsqrteLUT[5145] = 16'hac66;
RsqrteLUT[5146] = 16'hac62;
RsqrteLUT[5147] = 16'hac5f;
RsqrteLUT[5148] = 16'hac5b;
RsqrteLUT[5149] = 16'hac58;
RsqrteLUT[5150] = 16'hac55;
RsqrteLUT[5151] = 16'hac52;
RsqrteLUT[5152] = 16'hac4f;
RsqrteLUT[5153] = 16'hac4c;
RsqrteLUT[5154] = 16'hac49;
RsqrteLUT[5155] = 16'hac46;
RsqrteLUT[5156] = 16'hac43;
RsqrteLUT[5157] = 16'hac40;
RsqrteLUT[5158] = 16'hac3d;
RsqrteLUT[5159] = 16'hac3a;
RsqrteLUT[5160] = 16'hac38;
RsqrteLUT[5161] = 16'hac35;
RsqrteLUT[5162] = 16'hac32;
RsqrteLUT[5163] = 16'hac2f;
RsqrteLUT[5164] = 16'hac2d;
RsqrteLUT[5165] = 16'hac2a;
RsqrteLUT[5166] = 16'hac28;
RsqrteLUT[5167] = 16'hac25;
RsqrteLUT[5168] = 16'hac23;
RsqrteLUT[5169] = 16'hac20;
RsqrteLUT[5170] = 16'hac1e;
RsqrteLUT[5171] = 16'hac1c;
RsqrteLUT[5172] = 16'hac19;
RsqrteLUT[5173] = 16'hac17;
RsqrteLUT[5174] = 16'hac15;
RsqrteLUT[5175] = 16'hac13;
RsqrteLUT[5176] = 16'hac10;
RsqrteLUT[5177] = 16'hac0e;
RsqrteLUT[5178] = 16'hac0c;
RsqrteLUT[5179] = 16'hac0a;
RsqrteLUT[5180] = 16'hac08;
RsqrteLUT[5181] = 16'hac06;
RsqrteLUT[5182] = 16'hac04;
RsqrteLUT[5183] = 16'hac02;
RsqrteLUT[5184] = 16'hac00;
RsqrteLUT[5185] = 16'habf8;
RsqrteLUT[5186] = 16'habf0;
RsqrteLUT[5187] = 16'habe8;
RsqrteLUT[5188] = 16'habe1;
RsqrteLUT[5189] = 16'habda;
RsqrteLUT[5190] = 16'habd3;
RsqrteLUT[5191] = 16'habcc;
RsqrteLUT[5192] = 16'habc5;
RsqrteLUT[5193] = 16'habbe;
RsqrteLUT[5194] = 16'habb8;
RsqrteLUT[5195] = 16'habb1;
RsqrteLUT[5196] = 16'habab;
RsqrteLUT[5197] = 16'haba5;
RsqrteLUT[5198] = 16'hab9f;
RsqrteLUT[5199] = 16'hab99;
RsqrteLUT[5200] = 16'hab93;
RsqrteLUT[5201] = 16'hab8e;
RsqrteLUT[5202] = 16'hab88;
RsqrteLUT[5203] = 16'hab83;
RsqrteLUT[5204] = 16'hab7d;
RsqrteLUT[5205] = 16'hab78;
RsqrteLUT[5206] = 16'hab73;
RsqrteLUT[5207] = 16'hab6e;
RsqrteLUT[5208] = 16'hab69;
RsqrteLUT[5209] = 16'hab64;
RsqrteLUT[5210] = 16'hab5f;
RsqrteLUT[5211] = 16'hab5a;
RsqrteLUT[5212] = 16'hab56;
RsqrteLUT[5213] = 16'hab51;
RsqrteLUT[5214] = 16'hab4c;
RsqrteLUT[5215] = 16'hab48;
RsqrteLUT[5216] = 16'hab44;
RsqrteLUT[5217] = 16'hab3f;
RsqrteLUT[5218] = 16'hab3b;
RsqrteLUT[5219] = 16'hab37;
RsqrteLUT[5220] = 16'hab33;
RsqrteLUT[5221] = 16'hab2f;
RsqrteLUT[5222] = 16'hab2b;
RsqrteLUT[5223] = 16'hab27;
RsqrteLUT[5224] = 16'hab23;
RsqrteLUT[5225] = 16'hab1f;
RsqrteLUT[5226] = 16'hab1b;
RsqrteLUT[5227] = 16'hab17;
RsqrteLUT[5228] = 16'hab14;
RsqrteLUT[5229] = 16'hab10;
RsqrteLUT[5230] = 16'hab0d;
RsqrteLUT[5231] = 16'hab09;
RsqrteLUT[5232] = 16'hab06;
RsqrteLUT[5233] = 16'hab02;
RsqrteLUT[5234] = 16'haaff;
RsqrteLUT[5235] = 16'haafb;
RsqrteLUT[5236] = 16'haaf8;
RsqrteLUT[5237] = 16'haaf5;
RsqrteLUT[5238] = 16'haaf2;
RsqrteLUT[5239] = 16'haaee;
RsqrteLUT[5240] = 16'haaeb;
RsqrteLUT[5241] = 16'haae8;
RsqrteLUT[5242] = 16'haae5;
RsqrteLUT[5243] = 16'haae2;
RsqrteLUT[5244] = 16'haadf;
RsqrteLUT[5245] = 16'haadc;
RsqrteLUT[5246] = 16'haad9;
RsqrteLUT[5247] = 16'haad6;
RsqrteLUT[5248] = 16'haad4;
RsqrteLUT[5249] = 16'haace;
RsqrteLUT[5250] = 16'haac9;
RsqrteLUT[5251] = 16'haac3;
RsqrteLUT[5252] = 16'haabe;
RsqrteLUT[5253] = 16'haab9;
RsqrteLUT[5254] = 16'haab4;
RsqrteLUT[5255] = 16'haaaf;
RsqrteLUT[5256] = 16'haaaa;
RsqrteLUT[5257] = 16'haaa5;
RsqrteLUT[5258] = 16'haaa1;
RsqrteLUT[5259] = 16'haa9c;
RsqrteLUT[5260] = 16'haa98;
RsqrteLUT[5261] = 16'haa94;
RsqrteLUT[5262] = 16'haa8f;
RsqrteLUT[5263] = 16'haa8b;
RsqrteLUT[5264] = 16'haa87;
RsqrteLUT[5265] = 16'haa83;
RsqrteLUT[5266] = 16'haa7f;
RsqrteLUT[5267] = 16'haa7b;
RsqrteLUT[5268] = 16'haa78;
RsqrteLUT[5269] = 16'haa74;
RsqrteLUT[5270] = 16'haa70;
RsqrteLUT[5271] = 16'haa6d;
RsqrteLUT[5272] = 16'haa69;
RsqrteLUT[5273] = 16'haa66;
RsqrteLUT[5274] = 16'haa62;
RsqrteLUT[5275] = 16'haa5f;
RsqrteLUT[5276] = 16'haa5b;
RsqrteLUT[5277] = 16'haa58;
RsqrteLUT[5278] = 16'haa55;
RsqrteLUT[5279] = 16'haa52;
RsqrteLUT[5280] = 16'haa4f;
RsqrteLUT[5281] = 16'haa4c;
RsqrteLUT[5282] = 16'haa49;
RsqrteLUT[5283] = 16'haa46;
RsqrteLUT[5284] = 16'haa43;
RsqrteLUT[5285] = 16'haa40;
RsqrteLUT[5286] = 16'haa3d;
RsqrteLUT[5287] = 16'haa3a;
RsqrteLUT[5288] = 16'haa38;
RsqrteLUT[5289] = 16'haa35;
RsqrteLUT[5290] = 16'haa32;
RsqrteLUT[5291] = 16'haa2f;
RsqrteLUT[5292] = 16'haa2d;
RsqrteLUT[5293] = 16'haa2a;
RsqrteLUT[5294] = 16'haa28;
RsqrteLUT[5295] = 16'haa25;
RsqrteLUT[5296] = 16'haa23;
RsqrteLUT[5297] = 16'haa20;
RsqrteLUT[5298] = 16'haa1e;
RsqrteLUT[5299] = 16'haa1c;
RsqrteLUT[5300] = 16'haa19;
RsqrteLUT[5301] = 16'haa17;
RsqrteLUT[5302] = 16'haa15;
RsqrteLUT[5303] = 16'haa13;
RsqrteLUT[5304] = 16'haa10;
RsqrteLUT[5305] = 16'haa0e;
RsqrteLUT[5306] = 16'haa0c;
RsqrteLUT[5307] = 16'haa0a;
RsqrteLUT[5308] = 16'haa08;
RsqrteLUT[5309] = 16'haa06;
RsqrteLUT[5310] = 16'haa04;
RsqrteLUT[5311] = 16'haa02;
RsqrteLUT[5312] = 16'haa00;
RsqrteLUT[5313] = 16'ha9f8;
RsqrteLUT[5314] = 16'ha9f0;
RsqrteLUT[5315] = 16'ha9e8;
RsqrteLUT[5316] = 16'ha9e1;
RsqrteLUT[5317] = 16'ha9da;
RsqrteLUT[5318] = 16'ha9d3;
RsqrteLUT[5319] = 16'ha9cc;
RsqrteLUT[5320] = 16'ha9c5;
RsqrteLUT[5321] = 16'ha9be;
RsqrteLUT[5322] = 16'ha9b8;
RsqrteLUT[5323] = 16'ha9b1;
RsqrteLUT[5324] = 16'ha9ab;
RsqrteLUT[5325] = 16'ha9a5;
RsqrteLUT[5326] = 16'ha99f;
RsqrteLUT[5327] = 16'ha999;
RsqrteLUT[5328] = 16'ha993;
RsqrteLUT[5329] = 16'ha98e;
RsqrteLUT[5330] = 16'ha988;
RsqrteLUT[5331] = 16'ha983;
RsqrteLUT[5332] = 16'ha97d;
RsqrteLUT[5333] = 16'ha978;
RsqrteLUT[5334] = 16'ha973;
RsqrteLUT[5335] = 16'ha96e;
RsqrteLUT[5336] = 16'ha969;
RsqrteLUT[5337] = 16'ha964;
RsqrteLUT[5338] = 16'ha95f;
RsqrteLUT[5339] = 16'ha95a;
RsqrteLUT[5340] = 16'ha956;
RsqrteLUT[5341] = 16'ha951;
RsqrteLUT[5342] = 16'ha94c;
RsqrteLUT[5343] = 16'ha948;
RsqrteLUT[5344] = 16'ha944;
RsqrteLUT[5345] = 16'ha93f;
RsqrteLUT[5346] = 16'ha93b;
RsqrteLUT[5347] = 16'ha937;
RsqrteLUT[5348] = 16'ha933;
RsqrteLUT[5349] = 16'ha92f;
RsqrteLUT[5350] = 16'ha92b;
RsqrteLUT[5351] = 16'ha927;
RsqrteLUT[5352] = 16'ha923;
RsqrteLUT[5353] = 16'ha91f;
RsqrteLUT[5354] = 16'ha91b;
RsqrteLUT[5355] = 16'ha917;
RsqrteLUT[5356] = 16'ha914;
RsqrteLUT[5357] = 16'ha910;
RsqrteLUT[5358] = 16'ha90d;
RsqrteLUT[5359] = 16'ha909;
RsqrteLUT[5360] = 16'ha906;
RsqrteLUT[5361] = 16'ha902;
RsqrteLUT[5362] = 16'ha8ff;
RsqrteLUT[5363] = 16'ha8fb;
RsqrteLUT[5364] = 16'ha8f8;
RsqrteLUT[5365] = 16'ha8f5;
RsqrteLUT[5366] = 16'ha8f2;
RsqrteLUT[5367] = 16'ha8ee;
RsqrteLUT[5368] = 16'ha8eb;
RsqrteLUT[5369] = 16'ha8e8;
RsqrteLUT[5370] = 16'ha8e5;
RsqrteLUT[5371] = 16'ha8e2;
RsqrteLUT[5372] = 16'ha8df;
RsqrteLUT[5373] = 16'ha8dc;
RsqrteLUT[5374] = 16'ha8d9;
RsqrteLUT[5375] = 16'ha8d6;
RsqrteLUT[5376] = 16'ha8d4;
RsqrteLUT[5377] = 16'ha8ce;
RsqrteLUT[5378] = 16'ha8c9;
RsqrteLUT[5379] = 16'ha8c3;
RsqrteLUT[5380] = 16'ha8be;
RsqrteLUT[5381] = 16'ha8b9;
RsqrteLUT[5382] = 16'ha8b4;
RsqrteLUT[5383] = 16'ha8af;
RsqrteLUT[5384] = 16'ha8aa;
RsqrteLUT[5385] = 16'ha8a5;
RsqrteLUT[5386] = 16'ha8a1;
RsqrteLUT[5387] = 16'ha89c;
RsqrteLUT[5388] = 16'ha898;
RsqrteLUT[5389] = 16'ha894;
RsqrteLUT[5390] = 16'ha88f;
RsqrteLUT[5391] = 16'ha88b;
RsqrteLUT[5392] = 16'ha887;
RsqrteLUT[5393] = 16'ha883;
RsqrteLUT[5394] = 16'ha87f;
RsqrteLUT[5395] = 16'ha87b;
RsqrteLUT[5396] = 16'ha878;
RsqrteLUT[5397] = 16'ha874;
RsqrteLUT[5398] = 16'ha870;
RsqrteLUT[5399] = 16'ha86d;
RsqrteLUT[5400] = 16'ha869;
RsqrteLUT[5401] = 16'ha866;
RsqrteLUT[5402] = 16'ha862;
RsqrteLUT[5403] = 16'ha85f;
RsqrteLUT[5404] = 16'ha85b;
RsqrteLUT[5405] = 16'ha858;
RsqrteLUT[5406] = 16'ha855;
RsqrteLUT[5407] = 16'ha852;
RsqrteLUT[5408] = 16'ha84f;
RsqrteLUT[5409] = 16'ha84c;
RsqrteLUT[5410] = 16'ha849;
RsqrteLUT[5411] = 16'ha846;
RsqrteLUT[5412] = 16'ha843;
RsqrteLUT[5413] = 16'ha840;
RsqrteLUT[5414] = 16'ha83d;
RsqrteLUT[5415] = 16'ha83a;
RsqrteLUT[5416] = 16'ha838;
RsqrteLUT[5417] = 16'ha835;
RsqrteLUT[5418] = 16'ha832;
RsqrteLUT[5419] = 16'ha82f;
RsqrteLUT[5420] = 16'ha82d;
RsqrteLUT[5421] = 16'ha82a;
RsqrteLUT[5422] = 16'ha828;
RsqrteLUT[5423] = 16'ha825;
RsqrteLUT[5424] = 16'ha823;
RsqrteLUT[5425] = 16'ha820;
RsqrteLUT[5426] = 16'ha81e;
RsqrteLUT[5427] = 16'ha81c;
RsqrteLUT[5428] = 16'ha819;
RsqrteLUT[5429] = 16'ha817;
RsqrteLUT[5430] = 16'ha815;
RsqrteLUT[5431] = 16'ha813;
RsqrteLUT[5432] = 16'ha810;
RsqrteLUT[5433] = 16'ha80e;
RsqrteLUT[5434] = 16'ha80c;
RsqrteLUT[5435] = 16'ha80a;
RsqrteLUT[5436] = 16'ha808;
RsqrteLUT[5437] = 16'ha806;
RsqrteLUT[5438] = 16'ha804;
RsqrteLUT[5439] = 16'ha802;
RsqrteLUT[5440] = 16'ha800;
RsqrteLUT[5441] = 16'ha7f8;
RsqrteLUT[5442] = 16'ha7f0;
RsqrteLUT[5443] = 16'ha7e8;
RsqrteLUT[5444] = 16'ha7e1;
RsqrteLUT[5445] = 16'ha7da;
RsqrteLUT[5446] = 16'ha7d3;
RsqrteLUT[5447] = 16'ha7cc;
RsqrteLUT[5448] = 16'ha7c5;
RsqrteLUT[5449] = 16'ha7be;
RsqrteLUT[5450] = 16'ha7b8;
RsqrteLUT[5451] = 16'ha7b1;
RsqrteLUT[5452] = 16'ha7ab;
RsqrteLUT[5453] = 16'ha7a5;
RsqrteLUT[5454] = 16'ha79f;
RsqrteLUT[5455] = 16'ha799;
RsqrteLUT[5456] = 16'ha793;
RsqrteLUT[5457] = 16'ha78e;
RsqrteLUT[5458] = 16'ha788;
RsqrteLUT[5459] = 16'ha783;
RsqrteLUT[5460] = 16'ha77d;
RsqrteLUT[5461] = 16'ha778;
RsqrteLUT[5462] = 16'ha773;
RsqrteLUT[5463] = 16'ha76e;
RsqrteLUT[5464] = 16'ha769;
RsqrteLUT[5465] = 16'ha764;
RsqrteLUT[5466] = 16'ha75f;
RsqrteLUT[5467] = 16'ha75a;
RsqrteLUT[5468] = 16'ha756;
RsqrteLUT[5469] = 16'ha751;
RsqrteLUT[5470] = 16'ha74c;
RsqrteLUT[5471] = 16'ha748;
RsqrteLUT[5472] = 16'ha744;
RsqrteLUT[5473] = 16'ha73f;
RsqrteLUT[5474] = 16'ha73b;
RsqrteLUT[5475] = 16'ha737;
RsqrteLUT[5476] = 16'ha733;
RsqrteLUT[5477] = 16'ha72f;
RsqrteLUT[5478] = 16'ha72b;
RsqrteLUT[5479] = 16'ha727;
RsqrteLUT[5480] = 16'ha723;
RsqrteLUT[5481] = 16'ha71f;
RsqrteLUT[5482] = 16'ha71b;
RsqrteLUT[5483] = 16'ha717;
RsqrteLUT[5484] = 16'ha714;
RsqrteLUT[5485] = 16'ha710;
RsqrteLUT[5486] = 16'ha70d;
RsqrteLUT[5487] = 16'ha709;
RsqrteLUT[5488] = 16'ha706;
RsqrteLUT[5489] = 16'ha702;
RsqrteLUT[5490] = 16'ha6ff;
RsqrteLUT[5491] = 16'ha6fb;
RsqrteLUT[5492] = 16'ha6f8;
RsqrteLUT[5493] = 16'ha6f5;
RsqrteLUT[5494] = 16'ha6f2;
RsqrteLUT[5495] = 16'ha6ee;
RsqrteLUT[5496] = 16'ha6eb;
RsqrteLUT[5497] = 16'ha6e8;
RsqrteLUT[5498] = 16'ha6e5;
RsqrteLUT[5499] = 16'ha6e2;
RsqrteLUT[5500] = 16'ha6df;
RsqrteLUT[5501] = 16'ha6dc;
RsqrteLUT[5502] = 16'ha6d9;
RsqrteLUT[5503] = 16'ha6d6;
RsqrteLUT[5504] = 16'ha6d4;
RsqrteLUT[5505] = 16'ha6ce;
RsqrteLUT[5506] = 16'ha6c9;
RsqrteLUT[5507] = 16'ha6c3;
RsqrteLUT[5508] = 16'ha6be;
RsqrteLUT[5509] = 16'ha6b9;
RsqrteLUT[5510] = 16'ha6b4;
RsqrteLUT[5511] = 16'ha6af;
RsqrteLUT[5512] = 16'ha6aa;
RsqrteLUT[5513] = 16'ha6a5;
RsqrteLUT[5514] = 16'ha6a1;
RsqrteLUT[5515] = 16'ha69c;
RsqrteLUT[5516] = 16'ha698;
RsqrteLUT[5517] = 16'ha694;
RsqrteLUT[5518] = 16'ha68f;
RsqrteLUT[5519] = 16'ha68b;
RsqrteLUT[5520] = 16'ha687;
RsqrteLUT[5521] = 16'ha683;
RsqrteLUT[5522] = 16'ha67f;
RsqrteLUT[5523] = 16'ha67b;
RsqrteLUT[5524] = 16'ha678;
RsqrteLUT[5525] = 16'ha674;
RsqrteLUT[5526] = 16'ha670;
RsqrteLUT[5527] = 16'ha66d;
RsqrteLUT[5528] = 16'ha669;
RsqrteLUT[5529] = 16'ha666;
RsqrteLUT[5530] = 16'ha662;
RsqrteLUT[5531] = 16'ha65f;
RsqrteLUT[5532] = 16'ha65b;
RsqrteLUT[5533] = 16'ha658;
RsqrteLUT[5534] = 16'ha655;
RsqrteLUT[5535] = 16'ha652;
RsqrteLUT[5536] = 16'ha64f;
RsqrteLUT[5537] = 16'ha64c;
RsqrteLUT[5538] = 16'ha649;
RsqrteLUT[5539] = 16'ha646;
RsqrteLUT[5540] = 16'ha643;
RsqrteLUT[5541] = 16'ha640;
RsqrteLUT[5542] = 16'ha63d;
RsqrteLUT[5543] = 16'ha63a;
RsqrteLUT[5544] = 16'ha638;
RsqrteLUT[5545] = 16'ha635;
RsqrteLUT[5546] = 16'ha632;
RsqrteLUT[5547] = 16'ha62f;
RsqrteLUT[5548] = 16'ha62d;
RsqrteLUT[5549] = 16'ha62a;
RsqrteLUT[5550] = 16'ha628;
RsqrteLUT[5551] = 16'ha625;
RsqrteLUT[5552] = 16'ha623;
RsqrteLUT[5553] = 16'ha620;
RsqrteLUT[5554] = 16'ha61e;
RsqrteLUT[5555] = 16'ha61c;
RsqrteLUT[5556] = 16'ha619;
RsqrteLUT[5557] = 16'ha617;
RsqrteLUT[5558] = 16'ha615;
RsqrteLUT[5559] = 16'ha613;
RsqrteLUT[5560] = 16'ha610;
RsqrteLUT[5561] = 16'ha60e;
RsqrteLUT[5562] = 16'ha60c;
RsqrteLUT[5563] = 16'ha60a;
RsqrteLUT[5564] = 16'ha608;
RsqrteLUT[5565] = 16'ha606;
RsqrteLUT[5566] = 16'ha604;
RsqrteLUT[5567] = 16'ha602;
RsqrteLUT[5568] = 16'ha600;
RsqrteLUT[5569] = 16'ha5f8;
RsqrteLUT[5570] = 16'ha5f0;
RsqrteLUT[5571] = 16'ha5e8;
RsqrteLUT[5572] = 16'ha5e1;
RsqrteLUT[5573] = 16'ha5da;
RsqrteLUT[5574] = 16'ha5d3;
RsqrteLUT[5575] = 16'ha5cc;
RsqrteLUT[5576] = 16'ha5c5;
RsqrteLUT[5577] = 16'ha5be;
RsqrteLUT[5578] = 16'ha5b8;
RsqrteLUT[5579] = 16'ha5b1;
RsqrteLUT[5580] = 16'ha5ab;
RsqrteLUT[5581] = 16'ha5a5;
RsqrteLUT[5582] = 16'ha59f;
RsqrteLUT[5583] = 16'ha599;
RsqrteLUT[5584] = 16'ha593;
RsqrteLUT[5585] = 16'ha58e;
RsqrteLUT[5586] = 16'ha588;
RsqrteLUT[5587] = 16'ha583;
RsqrteLUT[5588] = 16'ha57d;
RsqrteLUT[5589] = 16'ha578;
RsqrteLUT[5590] = 16'ha573;
RsqrteLUT[5591] = 16'ha56e;
RsqrteLUT[5592] = 16'ha569;
RsqrteLUT[5593] = 16'ha564;
RsqrteLUT[5594] = 16'ha55f;
RsqrteLUT[5595] = 16'ha55a;
RsqrteLUT[5596] = 16'ha556;
RsqrteLUT[5597] = 16'ha551;
RsqrteLUT[5598] = 16'ha54c;
RsqrteLUT[5599] = 16'ha548;
RsqrteLUT[5600] = 16'ha544;
RsqrteLUT[5601] = 16'ha53f;
RsqrteLUT[5602] = 16'ha53b;
RsqrteLUT[5603] = 16'ha537;
RsqrteLUT[5604] = 16'ha533;
RsqrteLUT[5605] = 16'ha52f;
RsqrteLUT[5606] = 16'ha52b;
RsqrteLUT[5607] = 16'ha527;
RsqrteLUT[5608] = 16'ha523;
RsqrteLUT[5609] = 16'ha51f;
RsqrteLUT[5610] = 16'ha51b;
RsqrteLUT[5611] = 16'ha517;
RsqrteLUT[5612] = 16'ha514;
RsqrteLUT[5613] = 16'ha510;
RsqrteLUT[5614] = 16'ha50d;
RsqrteLUT[5615] = 16'ha509;
RsqrteLUT[5616] = 16'ha506;
RsqrteLUT[5617] = 16'ha502;
RsqrteLUT[5618] = 16'ha4ff;
RsqrteLUT[5619] = 16'ha4fb;
RsqrteLUT[5620] = 16'ha4f8;
RsqrteLUT[5621] = 16'ha4f5;
RsqrteLUT[5622] = 16'ha4f2;
RsqrteLUT[5623] = 16'ha4ee;
RsqrteLUT[5624] = 16'ha4eb;
RsqrteLUT[5625] = 16'ha4e8;
RsqrteLUT[5626] = 16'ha4e5;
RsqrteLUT[5627] = 16'ha4e2;
RsqrteLUT[5628] = 16'ha4df;
RsqrteLUT[5629] = 16'ha4dc;
RsqrteLUT[5630] = 16'ha4d9;
RsqrteLUT[5631] = 16'ha4d6;
RsqrteLUT[5632] = 16'ha4d4;
RsqrteLUT[5633] = 16'ha4ce;
RsqrteLUT[5634] = 16'ha4c9;
RsqrteLUT[5635] = 16'ha4c3;
RsqrteLUT[5636] = 16'ha4be;
RsqrteLUT[5637] = 16'ha4b9;
RsqrteLUT[5638] = 16'ha4b4;
RsqrteLUT[5639] = 16'ha4af;
RsqrteLUT[5640] = 16'ha4aa;
RsqrteLUT[5641] = 16'ha4a5;
RsqrteLUT[5642] = 16'ha4a1;
RsqrteLUT[5643] = 16'ha49c;
RsqrteLUT[5644] = 16'ha498;
RsqrteLUT[5645] = 16'ha494;
RsqrteLUT[5646] = 16'ha48f;
RsqrteLUT[5647] = 16'ha48b;
RsqrteLUT[5648] = 16'ha487;
RsqrteLUT[5649] = 16'ha483;
RsqrteLUT[5650] = 16'ha47f;
RsqrteLUT[5651] = 16'ha47b;
RsqrteLUT[5652] = 16'ha478;
RsqrteLUT[5653] = 16'ha474;
RsqrteLUT[5654] = 16'ha470;
RsqrteLUT[5655] = 16'ha46d;
RsqrteLUT[5656] = 16'ha469;
RsqrteLUT[5657] = 16'ha466;
RsqrteLUT[5658] = 16'ha462;
RsqrteLUT[5659] = 16'ha45f;
RsqrteLUT[5660] = 16'ha45b;
RsqrteLUT[5661] = 16'ha458;
RsqrteLUT[5662] = 16'ha455;
RsqrteLUT[5663] = 16'ha452;
RsqrteLUT[5664] = 16'ha44f;
RsqrteLUT[5665] = 16'ha44c;
RsqrteLUT[5666] = 16'ha449;
RsqrteLUT[5667] = 16'ha446;
RsqrteLUT[5668] = 16'ha443;
RsqrteLUT[5669] = 16'ha440;
RsqrteLUT[5670] = 16'ha43d;
RsqrteLUT[5671] = 16'ha43a;
RsqrteLUT[5672] = 16'ha438;
RsqrteLUT[5673] = 16'ha435;
RsqrteLUT[5674] = 16'ha432;
RsqrteLUT[5675] = 16'ha42f;
RsqrteLUT[5676] = 16'ha42d;
RsqrteLUT[5677] = 16'ha42a;
RsqrteLUT[5678] = 16'ha428;
RsqrteLUT[5679] = 16'ha425;
RsqrteLUT[5680] = 16'ha423;
RsqrteLUT[5681] = 16'ha420;
RsqrteLUT[5682] = 16'ha41e;
RsqrteLUT[5683] = 16'ha41c;
RsqrteLUT[5684] = 16'ha419;
RsqrteLUT[5685] = 16'ha417;
RsqrteLUT[5686] = 16'ha415;
RsqrteLUT[5687] = 16'ha413;
RsqrteLUT[5688] = 16'ha410;
RsqrteLUT[5689] = 16'ha40e;
RsqrteLUT[5690] = 16'ha40c;
RsqrteLUT[5691] = 16'ha40a;
RsqrteLUT[5692] = 16'ha408;
RsqrteLUT[5693] = 16'ha406;
RsqrteLUT[5694] = 16'ha404;
RsqrteLUT[5695] = 16'ha402;
RsqrteLUT[5696] = 16'ha400;
RsqrteLUT[5697] = 16'ha3f8;
RsqrteLUT[5698] = 16'ha3f0;
RsqrteLUT[5699] = 16'ha3e8;
RsqrteLUT[5700] = 16'ha3e1;
RsqrteLUT[5701] = 16'ha3da;
RsqrteLUT[5702] = 16'ha3d3;
RsqrteLUT[5703] = 16'ha3cc;
RsqrteLUT[5704] = 16'ha3c5;
RsqrteLUT[5705] = 16'ha3be;
RsqrteLUT[5706] = 16'ha3b8;
RsqrteLUT[5707] = 16'ha3b1;
RsqrteLUT[5708] = 16'ha3ab;
RsqrteLUT[5709] = 16'ha3a5;
RsqrteLUT[5710] = 16'ha39f;
RsqrteLUT[5711] = 16'ha399;
RsqrteLUT[5712] = 16'ha393;
RsqrteLUT[5713] = 16'ha38e;
RsqrteLUT[5714] = 16'ha388;
RsqrteLUT[5715] = 16'ha383;
RsqrteLUT[5716] = 16'ha37d;
RsqrteLUT[5717] = 16'ha378;
RsqrteLUT[5718] = 16'ha373;
RsqrteLUT[5719] = 16'ha36e;
RsqrteLUT[5720] = 16'ha369;
RsqrteLUT[5721] = 16'ha364;
RsqrteLUT[5722] = 16'ha35f;
RsqrteLUT[5723] = 16'ha35a;
RsqrteLUT[5724] = 16'ha356;
RsqrteLUT[5725] = 16'ha351;
RsqrteLUT[5726] = 16'ha34c;
RsqrteLUT[5727] = 16'ha348;
RsqrteLUT[5728] = 16'ha344;
RsqrteLUT[5729] = 16'ha33f;
RsqrteLUT[5730] = 16'ha33b;
RsqrteLUT[5731] = 16'ha337;
RsqrteLUT[5732] = 16'ha333;
RsqrteLUT[5733] = 16'ha32f;
RsqrteLUT[5734] = 16'ha32b;
RsqrteLUT[5735] = 16'ha327;
RsqrteLUT[5736] = 16'ha323;
RsqrteLUT[5737] = 16'ha31f;
RsqrteLUT[5738] = 16'ha31b;
RsqrteLUT[5739] = 16'ha317;
RsqrteLUT[5740] = 16'ha314;
RsqrteLUT[5741] = 16'ha310;
RsqrteLUT[5742] = 16'ha30d;
RsqrteLUT[5743] = 16'ha309;
RsqrteLUT[5744] = 16'ha306;
RsqrteLUT[5745] = 16'ha302;
RsqrteLUT[5746] = 16'ha2ff;
RsqrteLUT[5747] = 16'ha2fb;
RsqrteLUT[5748] = 16'ha2f8;
RsqrteLUT[5749] = 16'ha2f5;
RsqrteLUT[5750] = 16'ha2f2;
RsqrteLUT[5751] = 16'ha2ee;
RsqrteLUT[5752] = 16'ha2eb;
RsqrteLUT[5753] = 16'ha2e8;
RsqrteLUT[5754] = 16'ha2e5;
RsqrteLUT[5755] = 16'ha2e2;
RsqrteLUT[5756] = 16'ha2df;
RsqrteLUT[5757] = 16'ha2dc;
RsqrteLUT[5758] = 16'ha2d9;
RsqrteLUT[5759] = 16'ha2d6;
RsqrteLUT[5760] = 16'ha2d4;
RsqrteLUT[5761] = 16'ha2ce;
RsqrteLUT[5762] = 16'ha2c9;
RsqrteLUT[5763] = 16'ha2c3;
RsqrteLUT[5764] = 16'ha2be;
RsqrteLUT[5765] = 16'ha2b9;
RsqrteLUT[5766] = 16'ha2b4;
RsqrteLUT[5767] = 16'ha2af;
RsqrteLUT[5768] = 16'ha2aa;
RsqrteLUT[5769] = 16'ha2a5;
RsqrteLUT[5770] = 16'ha2a1;
RsqrteLUT[5771] = 16'ha29c;
RsqrteLUT[5772] = 16'ha298;
RsqrteLUT[5773] = 16'ha294;
RsqrteLUT[5774] = 16'ha28f;
RsqrteLUT[5775] = 16'ha28b;
RsqrteLUT[5776] = 16'ha287;
RsqrteLUT[5777] = 16'ha283;
RsqrteLUT[5778] = 16'ha27f;
RsqrteLUT[5779] = 16'ha27b;
RsqrteLUT[5780] = 16'ha278;
RsqrteLUT[5781] = 16'ha274;
RsqrteLUT[5782] = 16'ha270;
RsqrteLUT[5783] = 16'ha26d;
RsqrteLUT[5784] = 16'ha269;
RsqrteLUT[5785] = 16'ha266;
RsqrteLUT[5786] = 16'ha262;
RsqrteLUT[5787] = 16'ha25f;
RsqrteLUT[5788] = 16'ha25b;
RsqrteLUT[5789] = 16'ha258;
RsqrteLUT[5790] = 16'ha255;
RsqrteLUT[5791] = 16'ha252;
RsqrteLUT[5792] = 16'ha24f;
RsqrteLUT[5793] = 16'ha24c;
RsqrteLUT[5794] = 16'ha249;
RsqrteLUT[5795] = 16'ha246;
RsqrteLUT[5796] = 16'ha243;
RsqrteLUT[5797] = 16'ha240;
RsqrteLUT[5798] = 16'ha23d;
RsqrteLUT[5799] = 16'ha23a;
RsqrteLUT[5800] = 16'ha238;
RsqrteLUT[5801] = 16'ha235;
RsqrteLUT[5802] = 16'ha232;
RsqrteLUT[5803] = 16'ha22f;
RsqrteLUT[5804] = 16'ha22d;
RsqrteLUT[5805] = 16'ha22a;
RsqrteLUT[5806] = 16'ha228;
RsqrteLUT[5807] = 16'ha225;
RsqrteLUT[5808] = 16'ha223;
RsqrteLUT[5809] = 16'ha220;
RsqrteLUT[5810] = 16'ha21e;
RsqrteLUT[5811] = 16'ha21c;
RsqrteLUT[5812] = 16'ha219;
RsqrteLUT[5813] = 16'ha217;
RsqrteLUT[5814] = 16'ha215;
RsqrteLUT[5815] = 16'ha213;
RsqrteLUT[5816] = 16'ha210;
RsqrteLUT[5817] = 16'ha20e;
RsqrteLUT[5818] = 16'ha20c;
RsqrteLUT[5819] = 16'ha20a;
RsqrteLUT[5820] = 16'ha208;
RsqrteLUT[5821] = 16'ha206;
RsqrteLUT[5822] = 16'ha204;
RsqrteLUT[5823] = 16'ha202;
RsqrteLUT[5824] = 16'ha200;
RsqrteLUT[5825] = 16'ha1f8;
RsqrteLUT[5826] = 16'ha1f0;
RsqrteLUT[5827] = 16'ha1e8;
RsqrteLUT[5828] = 16'ha1e1;
RsqrteLUT[5829] = 16'ha1da;
RsqrteLUT[5830] = 16'ha1d3;
RsqrteLUT[5831] = 16'ha1cc;
RsqrteLUT[5832] = 16'ha1c5;
RsqrteLUT[5833] = 16'ha1be;
RsqrteLUT[5834] = 16'ha1b8;
RsqrteLUT[5835] = 16'ha1b1;
RsqrteLUT[5836] = 16'ha1ab;
RsqrteLUT[5837] = 16'ha1a5;
RsqrteLUT[5838] = 16'ha19f;
RsqrteLUT[5839] = 16'ha199;
RsqrteLUT[5840] = 16'ha193;
RsqrteLUT[5841] = 16'ha18e;
RsqrteLUT[5842] = 16'ha188;
RsqrteLUT[5843] = 16'ha183;
RsqrteLUT[5844] = 16'ha17d;
RsqrteLUT[5845] = 16'ha178;
RsqrteLUT[5846] = 16'ha173;
RsqrteLUT[5847] = 16'ha16e;
RsqrteLUT[5848] = 16'ha169;
RsqrteLUT[5849] = 16'ha164;
RsqrteLUT[5850] = 16'ha15f;
RsqrteLUT[5851] = 16'ha15a;
RsqrteLUT[5852] = 16'ha156;
RsqrteLUT[5853] = 16'ha151;
RsqrteLUT[5854] = 16'ha14c;
RsqrteLUT[5855] = 16'ha148;
RsqrteLUT[5856] = 16'ha144;
RsqrteLUT[5857] = 16'ha13f;
RsqrteLUT[5858] = 16'ha13b;
RsqrteLUT[5859] = 16'ha137;
RsqrteLUT[5860] = 16'ha133;
RsqrteLUT[5861] = 16'ha12f;
RsqrteLUT[5862] = 16'ha12b;
RsqrteLUT[5863] = 16'ha127;
RsqrteLUT[5864] = 16'ha123;
RsqrteLUT[5865] = 16'ha11f;
RsqrteLUT[5866] = 16'ha11b;
RsqrteLUT[5867] = 16'ha117;
RsqrteLUT[5868] = 16'ha114;
RsqrteLUT[5869] = 16'ha110;
RsqrteLUT[5870] = 16'ha10d;
RsqrteLUT[5871] = 16'ha109;
RsqrteLUT[5872] = 16'ha106;
RsqrteLUT[5873] = 16'ha102;
RsqrteLUT[5874] = 16'ha0ff;
RsqrteLUT[5875] = 16'ha0fb;
RsqrteLUT[5876] = 16'ha0f8;
RsqrteLUT[5877] = 16'ha0f5;
RsqrteLUT[5878] = 16'ha0f2;
RsqrteLUT[5879] = 16'ha0ee;
RsqrteLUT[5880] = 16'ha0eb;
RsqrteLUT[5881] = 16'ha0e8;
RsqrteLUT[5882] = 16'ha0e5;
RsqrteLUT[5883] = 16'ha0e2;
RsqrteLUT[5884] = 16'ha0df;
RsqrteLUT[5885] = 16'ha0dc;
RsqrteLUT[5886] = 16'ha0d9;
RsqrteLUT[5887] = 16'ha0d6;
RsqrteLUT[5888] = 16'ha0d4;
RsqrteLUT[5889] = 16'ha0ce;
RsqrteLUT[5890] = 16'ha0c9;
RsqrteLUT[5891] = 16'ha0c3;
RsqrteLUT[5892] = 16'ha0be;
RsqrteLUT[5893] = 16'ha0b9;
RsqrteLUT[5894] = 16'ha0b4;
RsqrteLUT[5895] = 16'ha0af;
RsqrteLUT[5896] = 16'ha0aa;
RsqrteLUT[5897] = 16'ha0a5;
RsqrteLUT[5898] = 16'ha0a1;
RsqrteLUT[5899] = 16'ha09c;
RsqrteLUT[5900] = 16'ha098;
RsqrteLUT[5901] = 16'ha094;
RsqrteLUT[5902] = 16'ha08f;
RsqrteLUT[5903] = 16'ha08b;
RsqrteLUT[5904] = 16'ha087;
RsqrteLUT[5905] = 16'ha083;
RsqrteLUT[5906] = 16'ha07f;
RsqrteLUT[5907] = 16'ha07b;
RsqrteLUT[5908] = 16'ha078;
RsqrteLUT[5909] = 16'ha074;
RsqrteLUT[5910] = 16'ha070;
RsqrteLUT[5911] = 16'ha06d;
RsqrteLUT[5912] = 16'ha069;
RsqrteLUT[5913] = 16'ha066;
RsqrteLUT[5914] = 16'ha062;
RsqrteLUT[5915] = 16'ha05f;
RsqrteLUT[5916] = 16'ha05b;
RsqrteLUT[5917] = 16'ha058;
RsqrteLUT[5918] = 16'ha055;
RsqrteLUT[5919] = 16'ha052;
RsqrteLUT[5920] = 16'ha04f;
RsqrteLUT[5921] = 16'ha04c;
RsqrteLUT[5922] = 16'ha049;
RsqrteLUT[5923] = 16'ha046;
RsqrteLUT[5924] = 16'ha043;
RsqrteLUT[5925] = 16'ha040;
RsqrteLUT[5926] = 16'ha03d;
RsqrteLUT[5927] = 16'ha03a;
RsqrteLUT[5928] = 16'ha038;
RsqrteLUT[5929] = 16'ha035;
RsqrteLUT[5930] = 16'ha032;
RsqrteLUT[5931] = 16'ha02f;
RsqrteLUT[5932] = 16'ha02d;
RsqrteLUT[5933] = 16'ha02a;
RsqrteLUT[5934] = 16'ha028;
RsqrteLUT[5935] = 16'ha025;
RsqrteLUT[5936] = 16'ha023;
RsqrteLUT[5937] = 16'ha020;
RsqrteLUT[5938] = 16'ha01e;
RsqrteLUT[5939] = 16'ha01c;
RsqrteLUT[5940] = 16'ha019;
RsqrteLUT[5941] = 16'ha017;
RsqrteLUT[5942] = 16'ha015;
RsqrteLUT[5943] = 16'ha013;
RsqrteLUT[5944] = 16'ha010;
RsqrteLUT[5945] = 16'ha00e;
RsqrteLUT[5946] = 16'ha00c;
RsqrteLUT[5947] = 16'ha00a;
RsqrteLUT[5948] = 16'ha008;
RsqrteLUT[5949] = 16'ha006;
RsqrteLUT[5950] = 16'ha004;
RsqrteLUT[5951] = 16'ha002;
RsqrteLUT[5952] = 16'ha000;
RsqrteLUT[5953] = 16'h9ff8;
RsqrteLUT[5954] = 16'h9ff0;
RsqrteLUT[5955] = 16'h9fe8;
RsqrteLUT[5956] = 16'h9fe1;
RsqrteLUT[5957] = 16'h9fda;
RsqrteLUT[5958] = 16'h9fd3;
RsqrteLUT[5959] = 16'h9fcc;
RsqrteLUT[5960] = 16'h9fc5;
RsqrteLUT[5961] = 16'h9fbe;
RsqrteLUT[5962] = 16'h9fb8;
RsqrteLUT[5963] = 16'h9fb1;
RsqrteLUT[5964] = 16'h9fab;
RsqrteLUT[5965] = 16'h9fa5;
RsqrteLUT[5966] = 16'h9f9f;
RsqrteLUT[5967] = 16'h9f99;
RsqrteLUT[5968] = 16'h9f93;
RsqrteLUT[5969] = 16'h9f8e;
RsqrteLUT[5970] = 16'h9f88;
RsqrteLUT[5971] = 16'h9f83;
RsqrteLUT[5972] = 16'h9f7d;
RsqrteLUT[5973] = 16'h9f78;
RsqrteLUT[5974] = 16'h9f73;
RsqrteLUT[5975] = 16'h9f6e;
RsqrteLUT[5976] = 16'h9f69;
RsqrteLUT[5977] = 16'h9f64;
RsqrteLUT[5978] = 16'h9f5f;
RsqrteLUT[5979] = 16'h9f5a;
RsqrteLUT[5980] = 16'h9f56;
RsqrteLUT[5981] = 16'h9f51;
RsqrteLUT[5982] = 16'h9f4c;
RsqrteLUT[5983] = 16'h9f48;
RsqrteLUT[5984] = 16'h9f44;
RsqrteLUT[5985] = 16'h9f3f;
RsqrteLUT[5986] = 16'h9f3b;
RsqrteLUT[5987] = 16'h9f37;
RsqrteLUT[5988] = 16'h9f33;
RsqrteLUT[5989] = 16'h9f2f;
RsqrteLUT[5990] = 16'h9f2b;
RsqrteLUT[5991] = 16'h9f27;
RsqrteLUT[5992] = 16'h9f23;
RsqrteLUT[5993] = 16'h9f1f;
RsqrteLUT[5994] = 16'h9f1b;
RsqrteLUT[5995] = 16'h9f17;
RsqrteLUT[5996] = 16'h9f14;
RsqrteLUT[5997] = 16'h9f10;
RsqrteLUT[5998] = 16'h9f0d;
RsqrteLUT[5999] = 16'h9f09;
RsqrteLUT[6000] = 16'h9f06;
RsqrteLUT[6001] = 16'h9f02;
RsqrteLUT[6002] = 16'h9eff;
RsqrteLUT[6003] = 16'h9efb;
RsqrteLUT[6004] = 16'h9ef8;
RsqrteLUT[6005] = 16'h9ef5;
RsqrteLUT[6006] = 16'h9ef2;
RsqrteLUT[6007] = 16'h9eee;
RsqrteLUT[6008] = 16'h9eeb;
RsqrteLUT[6009] = 16'h9ee8;
RsqrteLUT[6010] = 16'h9ee5;
RsqrteLUT[6011] = 16'h9ee2;
RsqrteLUT[6012] = 16'h9edf;
RsqrteLUT[6013] = 16'h9edc;
RsqrteLUT[6014] = 16'h9ed9;
RsqrteLUT[6015] = 16'h9ed6;
RsqrteLUT[6016] = 16'h9ed4;
RsqrteLUT[6017] = 16'h9ece;
RsqrteLUT[6018] = 16'h9ec9;
RsqrteLUT[6019] = 16'h9ec3;
RsqrteLUT[6020] = 16'h9ebe;
RsqrteLUT[6021] = 16'h9eb9;
RsqrteLUT[6022] = 16'h9eb4;
RsqrteLUT[6023] = 16'h9eaf;
RsqrteLUT[6024] = 16'h9eaa;
RsqrteLUT[6025] = 16'h9ea5;
RsqrteLUT[6026] = 16'h9ea1;
RsqrteLUT[6027] = 16'h9e9c;
RsqrteLUT[6028] = 16'h9e98;
RsqrteLUT[6029] = 16'h9e94;
RsqrteLUT[6030] = 16'h9e8f;
RsqrteLUT[6031] = 16'h9e8b;
RsqrteLUT[6032] = 16'h9e87;
RsqrteLUT[6033] = 16'h9e83;
RsqrteLUT[6034] = 16'h9e7f;
RsqrteLUT[6035] = 16'h9e7b;
RsqrteLUT[6036] = 16'h9e78;
RsqrteLUT[6037] = 16'h9e74;
RsqrteLUT[6038] = 16'h9e70;
RsqrteLUT[6039] = 16'h9e6d;
RsqrteLUT[6040] = 16'h9e69;
RsqrteLUT[6041] = 16'h9e66;
RsqrteLUT[6042] = 16'h9e62;
RsqrteLUT[6043] = 16'h9e5f;
RsqrteLUT[6044] = 16'h9e5b;
RsqrteLUT[6045] = 16'h9e58;
RsqrteLUT[6046] = 16'h9e55;
RsqrteLUT[6047] = 16'h9e52;
RsqrteLUT[6048] = 16'h9e4f;
RsqrteLUT[6049] = 16'h9e4c;
RsqrteLUT[6050] = 16'h9e49;
RsqrteLUT[6051] = 16'h9e46;
RsqrteLUT[6052] = 16'h9e43;
RsqrteLUT[6053] = 16'h9e40;
RsqrteLUT[6054] = 16'h9e3d;
RsqrteLUT[6055] = 16'h9e3a;
RsqrteLUT[6056] = 16'h9e38;
RsqrteLUT[6057] = 16'h9e35;
RsqrteLUT[6058] = 16'h9e32;
RsqrteLUT[6059] = 16'h9e2f;
RsqrteLUT[6060] = 16'h9e2d;
RsqrteLUT[6061] = 16'h9e2a;
RsqrteLUT[6062] = 16'h9e28;
RsqrteLUT[6063] = 16'h9e25;
RsqrteLUT[6064] = 16'h9e23;
RsqrteLUT[6065] = 16'h9e20;
RsqrteLUT[6066] = 16'h9e1e;
RsqrteLUT[6067] = 16'h9e1c;
RsqrteLUT[6068] = 16'h9e19;
RsqrteLUT[6069] = 16'h9e17;
RsqrteLUT[6070] = 16'h9e15;
RsqrteLUT[6071] = 16'h9e13;
RsqrteLUT[6072] = 16'h9e10;
RsqrteLUT[6073] = 16'h9e0e;
RsqrteLUT[6074] = 16'h9e0c;
RsqrteLUT[6075] = 16'h9e0a;
RsqrteLUT[6076] = 16'h9e08;
RsqrteLUT[6077] = 16'h9e06;
RsqrteLUT[6078] = 16'h9e04;
RsqrteLUT[6079] = 16'h9e02;
RsqrteLUT[6080] = 16'h9e00;
RsqrteLUT[6081] = 16'h9df8;
RsqrteLUT[6082] = 16'h9df0;
RsqrteLUT[6083] = 16'h9de8;
RsqrteLUT[6084] = 16'h9de1;
RsqrteLUT[6085] = 16'h9dda;
RsqrteLUT[6086] = 16'h9dd3;
RsqrteLUT[6087] = 16'h9dcc;
RsqrteLUT[6088] = 16'h9dc5;
RsqrteLUT[6089] = 16'h9dbe;
RsqrteLUT[6090] = 16'h9db8;
RsqrteLUT[6091] = 16'h9db1;
RsqrteLUT[6092] = 16'h9dab;
RsqrteLUT[6093] = 16'h9da5;
RsqrteLUT[6094] = 16'h9d9f;
RsqrteLUT[6095] = 16'h9d99;
RsqrteLUT[6096] = 16'h9d93;
RsqrteLUT[6097] = 16'h9d8e;
RsqrteLUT[6098] = 16'h9d88;
RsqrteLUT[6099] = 16'h9d83;
RsqrteLUT[6100] = 16'h9d7d;
RsqrteLUT[6101] = 16'h9d78;
RsqrteLUT[6102] = 16'h9d73;
RsqrteLUT[6103] = 16'h9d6e;
RsqrteLUT[6104] = 16'h9d69;
RsqrteLUT[6105] = 16'h9d64;
RsqrteLUT[6106] = 16'h9d5f;
RsqrteLUT[6107] = 16'h9d5a;
RsqrteLUT[6108] = 16'h9d56;
RsqrteLUT[6109] = 16'h9d51;
RsqrteLUT[6110] = 16'h9d4c;
RsqrteLUT[6111] = 16'h9d48;
RsqrteLUT[6112] = 16'h9d44;
RsqrteLUT[6113] = 16'h9d3f;
RsqrteLUT[6114] = 16'h9d3b;
RsqrteLUT[6115] = 16'h9d37;
RsqrteLUT[6116] = 16'h9d33;
RsqrteLUT[6117] = 16'h9d2f;
RsqrteLUT[6118] = 16'h9d2b;
RsqrteLUT[6119] = 16'h9d27;
RsqrteLUT[6120] = 16'h9d23;
RsqrteLUT[6121] = 16'h9d1f;
RsqrteLUT[6122] = 16'h9d1b;
RsqrteLUT[6123] = 16'h9d17;
RsqrteLUT[6124] = 16'h9d14;
RsqrteLUT[6125] = 16'h9d10;
RsqrteLUT[6126] = 16'h9d0d;
RsqrteLUT[6127] = 16'h9d09;
RsqrteLUT[6128] = 16'h9d06;
RsqrteLUT[6129] = 16'h9d02;
RsqrteLUT[6130] = 16'h9cff;
RsqrteLUT[6131] = 16'h9cfb;
RsqrteLUT[6132] = 16'h9cf8;
RsqrteLUT[6133] = 16'h9cf5;
RsqrteLUT[6134] = 16'h9cf2;
RsqrteLUT[6135] = 16'h9cee;
RsqrteLUT[6136] = 16'h9ceb;
RsqrteLUT[6137] = 16'h9ce8;
RsqrteLUT[6138] = 16'h9ce5;
RsqrteLUT[6139] = 16'h9ce2;
RsqrteLUT[6140] = 16'h9cdf;
RsqrteLUT[6141] = 16'h9cdc;
RsqrteLUT[6142] = 16'h9cd9;
RsqrteLUT[6143] = 16'h9cd6;
RsqrteLUT[6144] = 16'h9cd4;
RsqrteLUT[6145] = 16'h9cce;
RsqrteLUT[6146] = 16'h9cc9;
RsqrteLUT[6147] = 16'h9cc3;
RsqrteLUT[6148] = 16'h9cbe;
RsqrteLUT[6149] = 16'h9cb9;
RsqrteLUT[6150] = 16'h9cb4;
RsqrteLUT[6151] = 16'h9caf;
RsqrteLUT[6152] = 16'h9caa;
RsqrteLUT[6153] = 16'h9ca5;
RsqrteLUT[6154] = 16'h9ca1;
RsqrteLUT[6155] = 16'h9c9c;
RsqrteLUT[6156] = 16'h9c98;
RsqrteLUT[6157] = 16'h9c94;
RsqrteLUT[6158] = 16'h9c8f;
RsqrteLUT[6159] = 16'h9c8b;
RsqrteLUT[6160] = 16'h9c87;
RsqrteLUT[6161] = 16'h9c83;
RsqrteLUT[6162] = 16'h9c7f;
RsqrteLUT[6163] = 16'h9c7b;
RsqrteLUT[6164] = 16'h9c78;
RsqrteLUT[6165] = 16'h9c74;
RsqrteLUT[6166] = 16'h9c70;
RsqrteLUT[6167] = 16'h9c6d;
RsqrteLUT[6168] = 16'h9c69;
RsqrteLUT[6169] = 16'h9c66;
RsqrteLUT[6170] = 16'h9c62;
RsqrteLUT[6171] = 16'h9c5f;
RsqrteLUT[6172] = 16'h9c5b;
RsqrteLUT[6173] = 16'h9c58;
RsqrteLUT[6174] = 16'h9c55;
RsqrteLUT[6175] = 16'h9c52;
RsqrteLUT[6176] = 16'h9c4f;
RsqrteLUT[6177] = 16'h9c4c;
RsqrteLUT[6178] = 16'h9c49;
RsqrteLUT[6179] = 16'h9c46;
RsqrteLUT[6180] = 16'h9c43;
RsqrteLUT[6181] = 16'h9c40;
RsqrteLUT[6182] = 16'h9c3d;
RsqrteLUT[6183] = 16'h9c3a;
RsqrteLUT[6184] = 16'h9c38;
RsqrteLUT[6185] = 16'h9c35;
RsqrteLUT[6186] = 16'h9c32;
RsqrteLUT[6187] = 16'h9c2f;
RsqrteLUT[6188] = 16'h9c2d;
RsqrteLUT[6189] = 16'h9c2a;
RsqrteLUT[6190] = 16'h9c28;
RsqrteLUT[6191] = 16'h9c25;
RsqrteLUT[6192] = 16'h9c23;
RsqrteLUT[6193] = 16'h9c20;
RsqrteLUT[6194] = 16'h9c1e;
RsqrteLUT[6195] = 16'h9c1c;
RsqrteLUT[6196] = 16'h9c19;
RsqrteLUT[6197] = 16'h9c17;
RsqrteLUT[6198] = 16'h9c15;
RsqrteLUT[6199] = 16'h9c13;
RsqrteLUT[6200] = 16'h9c10;
RsqrteLUT[6201] = 16'h9c0e;
RsqrteLUT[6202] = 16'h9c0c;
RsqrteLUT[6203] = 16'h9c0a;
RsqrteLUT[6204] = 16'h9c08;
RsqrteLUT[6205] = 16'h9c06;
RsqrteLUT[6206] = 16'h9c04;
RsqrteLUT[6207] = 16'h9c02;
RsqrteLUT[6208] = 16'h9c00;
RsqrteLUT[6209] = 16'h9bf8;
RsqrteLUT[6210] = 16'h9bf0;
RsqrteLUT[6211] = 16'h9be8;
RsqrteLUT[6212] = 16'h9be1;
RsqrteLUT[6213] = 16'h9bda;
RsqrteLUT[6214] = 16'h9bd3;
RsqrteLUT[6215] = 16'h9bcc;
RsqrteLUT[6216] = 16'h9bc5;
RsqrteLUT[6217] = 16'h9bbe;
RsqrteLUT[6218] = 16'h9bb8;
RsqrteLUT[6219] = 16'h9bb1;
RsqrteLUT[6220] = 16'h9bab;
RsqrteLUT[6221] = 16'h9ba5;
RsqrteLUT[6222] = 16'h9b9f;
RsqrteLUT[6223] = 16'h9b99;
RsqrteLUT[6224] = 16'h9b93;
RsqrteLUT[6225] = 16'h9b8e;
RsqrteLUT[6226] = 16'h9b88;
RsqrteLUT[6227] = 16'h9b83;
RsqrteLUT[6228] = 16'h9b7d;
RsqrteLUT[6229] = 16'h9b78;
RsqrteLUT[6230] = 16'h9b73;
RsqrteLUT[6231] = 16'h9b6e;
RsqrteLUT[6232] = 16'h9b69;
RsqrteLUT[6233] = 16'h9b64;
RsqrteLUT[6234] = 16'h9b5f;
RsqrteLUT[6235] = 16'h9b5a;
RsqrteLUT[6236] = 16'h9b56;
RsqrteLUT[6237] = 16'h9b51;
RsqrteLUT[6238] = 16'h9b4c;
RsqrteLUT[6239] = 16'h9b48;
RsqrteLUT[6240] = 16'h9b44;
RsqrteLUT[6241] = 16'h9b3f;
RsqrteLUT[6242] = 16'h9b3b;
RsqrteLUT[6243] = 16'h9b37;
RsqrteLUT[6244] = 16'h9b33;
RsqrteLUT[6245] = 16'h9b2f;
RsqrteLUT[6246] = 16'h9b2b;
RsqrteLUT[6247] = 16'h9b27;
RsqrteLUT[6248] = 16'h9b23;
RsqrteLUT[6249] = 16'h9b1f;
RsqrteLUT[6250] = 16'h9b1b;
RsqrteLUT[6251] = 16'h9b17;
RsqrteLUT[6252] = 16'h9b14;
RsqrteLUT[6253] = 16'h9b10;
RsqrteLUT[6254] = 16'h9b0d;
RsqrteLUT[6255] = 16'h9b09;
RsqrteLUT[6256] = 16'h9b06;
RsqrteLUT[6257] = 16'h9b02;
RsqrteLUT[6258] = 16'h9aff;
RsqrteLUT[6259] = 16'h9afb;
RsqrteLUT[6260] = 16'h9af8;
RsqrteLUT[6261] = 16'h9af5;
RsqrteLUT[6262] = 16'h9af2;
RsqrteLUT[6263] = 16'h9aee;
RsqrteLUT[6264] = 16'h9aeb;
RsqrteLUT[6265] = 16'h9ae8;
RsqrteLUT[6266] = 16'h9ae5;
RsqrteLUT[6267] = 16'h9ae2;
RsqrteLUT[6268] = 16'h9adf;
RsqrteLUT[6269] = 16'h9adc;
RsqrteLUT[6270] = 16'h9ad9;
RsqrteLUT[6271] = 16'h9ad6;
RsqrteLUT[6272] = 16'h9ad4;
RsqrteLUT[6273] = 16'h9ace;
RsqrteLUT[6274] = 16'h9ac9;
RsqrteLUT[6275] = 16'h9ac3;
RsqrteLUT[6276] = 16'h9abe;
RsqrteLUT[6277] = 16'h9ab9;
RsqrteLUT[6278] = 16'h9ab4;
RsqrteLUT[6279] = 16'h9aaf;
RsqrteLUT[6280] = 16'h9aaa;
RsqrteLUT[6281] = 16'h9aa5;
RsqrteLUT[6282] = 16'h9aa1;
RsqrteLUT[6283] = 16'h9a9c;
RsqrteLUT[6284] = 16'h9a98;
RsqrteLUT[6285] = 16'h9a94;
RsqrteLUT[6286] = 16'h9a8f;
RsqrteLUT[6287] = 16'h9a8b;
RsqrteLUT[6288] = 16'h9a87;
RsqrteLUT[6289] = 16'h9a83;
RsqrteLUT[6290] = 16'h9a7f;
RsqrteLUT[6291] = 16'h9a7b;
RsqrteLUT[6292] = 16'h9a78;
RsqrteLUT[6293] = 16'h9a74;
RsqrteLUT[6294] = 16'h9a70;
RsqrteLUT[6295] = 16'h9a6d;
RsqrteLUT[6296] = 16'h9a69;
RsqrteLUT[6297] = 16'h9a66;
RsqrteLUT[6298] = 16'h9a62;
RsqrteLUT[6299] = 16'h9a5f;
RsqrteLUT[6300] = 16'h9a5b;
RsqrteLUT[6301] = 16'h9a58;
RsqrteLUT[6302] = 16'h9a55;
RsqrteLUT[6303] = 16'h9a52;
RsqrteLUT[6304] = 16'h9a4f;
RsqrteLUT[6305] = 16'h9a4c;
RsqrteLUT[6306] = 16'h9a49;
RsqrteLUT[6307] = 16'h9a46;
RsqrteLUT[6308] = 16'h9a43;
RsqrteLUT[6309] = 16'h9a40;
RsqrteLUT[6310] = 16'h9a3d;
RsqrteLUT[6311] = 16'h9a3a;
RsqrteLUT[6312] = 16'h9a38;
RsqrteLUT[6313] = 16'h9a35;
RsqrteLUT[6314] = 16'h9a32;
RsqrteLUT[6315] = 16'h9a2f;
RsqrteLUT[6316] = 16'h9a2d;
RsqrteLUT[6317] = 16'h9a2a;
RsqrteLUT[6318] = 16'h9a28;
RsqrteLUT[6319] = 16'h9a25;
RsqrteLUT[6320] = 16'h9a23;
RsqrteLUT[6321] = 16'h9a20;
RsqrteLUT[6322] = 16'h9a1e;
RsqrteLUT[6323] = 16'h9a1c;
RsqrteLUT[6324] = 16'h9a19;
RsqrteLUT[6325] = 16'h9a17;
RsqrteLUT[6326] = 16'h9a15;
RsqrteLUT[6327] = 16'h9a13;
RsqrteLUT[6328] = 16'h9a10;
RsqrteLUT[6329] = 16'h9a0e;
RsqrteLUT[6330] = 16'h9a0c;
RsqrteLUT[6331] = 16'h9a0a;
RsqrteLUT[6332] = 16'h9a08;
RsqrteLUT[6333] = 16'h9a06;
RsqrteLUT[6334] = 16'h9a04;
RsqrteLUT[6335] = 16'h9a02;
RsqrteLUT[6336] = 16'h9a00;
RsqrteLUT[6337] = 16'h99f8;
RsqrteLUT[6338] = 16'h99f0;
RsqrteLUT[6339] = 16'h99e8;
RsqrteLUT[6340] = 16'h99e1;
RsqrteLUT[6341] = 16'h99da;
RsqrteLUT[6342] = 16'h99d3;
RsqrteLUT[6343] = 16'h99cc;
RsqrteLUT[6344] = 16'h99c5;
RsqrteLUT[6345] = 16'h99be;
RsqrteLUT[6346] = 16'h99b8;
RsqrteLUT[6347] = 16'h99b1;
RsqrteLUT[6348] = 16'h99ab;
RsqrteLUT[6349] = 16'h99a5;
RsqrteLUT[6350] = 16'h999f;
RsqrteLUT[6351] = 16'h9999;
RsqrteLUT[6352] = 16'h9993;
RsqrteLUT[6353] = 16'h998e;
RsqrteLUT[6354] = 16'h9988;
RsqrteLUT[6355] = 16'h9983;
RsqrteLUT[6356] = 16'h997d;
RsqrteLUT[6357] = 16'h9978;
RsqrteLUT[6358] = 16'h9973;
RsqrteLUT[6359] = 16'h996e;
RsqrteLUT[6360] = 16'h9969;
RsqrteLUT[6361] = 16'h9964;
RsqrteLUT[6362] = 16'h995f;
RsqrteLUT[6363] = 16'h995a;
RsqrteLUT[6364] = 16'h9956;
RsqrteLUT[6365] = 16'h9951;
RsqrteLUT[6366] = 16'h994c;
RsqrteLUT[6367] = 16'h9948;
RsqrteLUT[6368] = 16'h9944;
RsqrteLUT[6369] = 16'h993f;
RsqrteLUT[6370] = 16'h993b;
RsqrteLUT[6371] = 16'h9937;
RsqrteLUT[6372] = 16'h9933;
RsqrteLUT[6373] = 16'h992f;
RsqrteLUT[6374] = 16'h992b;
RsqrteLUT[6375] = 16'h9927;
RsqrteLUT[6376] = 16'h9923;
RsqrteLUT[6377] = 16'h991f;
RsqrteLUT[6378] = 16'h991b;
RsqrteLUT[6379] = 16'h9917;
RsqrteLUT[6380] = 16'h9914;
RsqrteLUT[6381] = 16'h9910;
RsqrteLUT[6382] = 16'h990d;
RsqrteLUT[6383] = 16'h9909;
RsqrteLUT[6384] = 16'h9906;
RsqrteLUT[6385] = 16'h9902;
RsqrteLUT[6386] = 16'h98ff;
RsqrteLUT[6387] = 16'h98fb;
RsqrteLUT[6388] = 16'h98f8;
RsqrteLUT[6389] = 16'h98f5;
RsqrteLUT[6390] = 16'h98f2;
RsqrteLUT[6391] = 16'h98ee;
RsqrteLUT[6392] = 16'h98eb;
RsqrteLUT[6393] = 16'h98e8;
RsqrteLUT[6394] = 16'h98e5;
RsqrteLUT[6395] = 16'h98e2;
RsqrteLUT[6396] = 16'h98df;
RsqrteLUT[6397] = 16'h98dc;
RsqrteLUT[6398] = 16'h98d9;
RsqrteLUT[6399] = 16'h98d6;
RsqrteLUT[6400] = 16'h98d4;
RsqrteLUT[6401] = 16'h98ce;
RsqrteLUT[6402] = 16'h98c9;
RsqrteLUT[6403] = 16'h98c3;
RsqrteLUT[6404] = 16'h98be;
RsqrteLUT[6405] = 16'h98b9;
RsqrteLUT[6406] = 16'h98b4;
RsqrteLUT[6407] = 16'h98af;
RsqrteLUT[6408] = 16'h98aa;
RsqrteLUT[6409] = 16'h98a5;
RsqrteLUT[6410] = 16'h98a1;
RsqrteLUT[6411] = 16'h989c;
RsqrteLUT[6412] = 16'h9898;
RsqrteLUT[6413] = 16'h9894;
RsqrteLUT[6414] = 16'h988f;
RsqrteLUT[6415] = 16'h988b;
RsqrteLUT[6416] = 16'h9887;
RsqrteLUT[6417] = 16'h9883;
RsqrteLUT[6418] = 16'h987f;
RsqrteLUT[6419] = 16'h987b;
RsqrteLUT[6420] = 16'h9878;
RsqrteLUT[6421] = 16'h9874;
RsqrteLUT[6422] = 16'h9870;
RsqrteLUT[6423] = 16'h986d;
RsqrteLUT[6424] = 16'h9869;
RsqrteLUT[6425] = 16'h9866;
RsqrteLUT[6426] = 16'h9862;
RsqrteLUT[6427] = 16'h985f;
RsqrteLUT[6428] = 16'h985b;
RsqrteLUT[6429] = 16'h9858;
RsqrteLUT[6430] = 16'h9855;
RsqrteLUT[6431] = 16'h9852;
RsqrteLUT[6432] = 16'h984f;
RsqrteLUT[6433] = 16'h984c;
RsqrteLUT[6434] = 16'h9849;
RsqrteLUT[6435] = 16'h9846;
RsqrteLUT[6436] = 16'h9843;
RsqrteLUT[6437] = 16'h9840;
RsqrteLUT[6438] = 16'h983d;
RsqrteLUT[6439] = 16'h983a;
RsqrteLUT[6440] = 16'h9838;
RsqrteLUT[6441] = 16'h9835;
RsqrteLUT[6442] = 16'h9832;
RsqrteLUT[6443] = 16'h982f;
RsqrteLUT[6444] = 16'h982d;
RsqrteLUT[6445] = 16'h982a;
RsqrteLUT[6446] = 16'h9828;
RsqrteLUT[6447] = 16'h9825;
RsqrteLUT[6448] = 16'h9823;
RsqrteLUT[6449] = 16'h9820;
RsqrteLUT[6450] = 16'h981e;
RsqrteLUT[6451] = 16'h981c;
RsqrteLUT[6452] = 16'h9819;
RsqrteLUT[6453] = 16'h9817;
RsqrteLUT[6454] = 16'h9815;
RsqrteLUT[6455] = 16'h9813;
RsqrteLUT[6456] = 16'h9810;
RsqrteLUT[6457] = 16'h980e;
RsqrteLUT[6458] = 16'h980c;
RsqrteLUT[6459] = 16'h980a;
RsqrteLUT[6460] = 16'h9808;
RsqrteLUT[6461] = 16'h9806;
RsqrteLUT[6462] = 16'h9804;
RsqrteLUT[6463] = 16'h9802;
RsqrteLUT[6464] = 16'h9800;
RsqrteLUT[6465] = 16'h97f8;
RsqrteLUT[6466] = 16'h97f0;
RsqrteLUT[6467] = 16'h97e8;
RsqrteLUT[6468] = 16'h97e1;
RsqrteLUT[6469] = 16'h97da;
RsqrteLUT[6470] = 16'h97d3;
RsqrteLUT[6471] = 16'h97cc;
RsqrteLUT[6472] = 16'h97c5;
RsqrteLUT[6473] = 16'h97be;
RsqrteLUT[6474] = 16'h97b8;
RsqrteLUT[6475] = 16'h97b1;
RsqrteLUT[6476] = 16'h97ab;
RsqrteLUT[6477] = 16'h97a5;
RsqrteLUT[6478] = 16'h979f;
RsqrteLUT[6479] = 16'h9799;
RsqrteLUT[6480] = 16'h9793;
RsqrteLUT[6481] = 16'h978e;
RsqrteLUT[6482] = 16'h9788;
RsqrteLUT[6483] = 16'h9783;
RsqrteLUT[6484] = 16'h977d;
RsqrteLUT[6485] = 16'h9778;
RsqrteLUT[6486] = 16'h9773;
RsqrteLUT[6487] = 16'h976e;
RsqrteLUT[6488] = 16'h9769;
RsqrteLUT[6489] = 16'h9764;
RsqrteLUT[6490] = 16'h975f;
RsqrteLUT[6491] = 16'h975a;
RsqrteLUT[6492] = 16'h9756;
RsqrteLUT[6493] = 16'h9751;
RsqrteLUT[6494] = 16'h974c;
RsqrteLUT[6495] = 16'h9748;
RsqrteLUT[6496] = 16'h9744;
RsqrteLUT[6497] = 16'h973f;
RsqrteLUT[6498] = 16'h973b;
RsqrteLUT[6499] = 16'h9737;
RsqrteLUT[6500] = 16'h9733;
RsqrteLUT[6501] = 16'h972f;
RsqrteLUT[6502] = 16'h972b;
RsqrteLUT[6503] = 16'h9727;
RsqrteLUT[6504] = 16'h9723;
RsqrteLUT[6505] = 16'h971f;
RsqrteLUT[6506] = 16'h971b;
RsqrteLUT[6507] = 16'h9717;
RsqrteLUT[6508] = 16'h9714;
RsqrteLUT[6509] = 16'h9710;
RsqrteLUT[6510] = 16'h970d;
RsqrteLUT[6511] = 16'h9709;
RsqrteLUT[6512] = 16'h9706;
RsqrteLUT[6513] = 16'h9702;
RsqrteLUT[6514] = 16'h96ff;
RsqrteLUT[6515] = 16'h96fb;
RsqrteLUT[6516] = 16'h96f8;
RsqrteLUT[6517] = 16'h96f5;
RsqrteLUT[6518] = 16'h96f2;
RsqrteLUT[6519] = 16'h96ee;
RsqrteLUT[6520] = 16'h96eb;
RsqrteLUT[6521] = 16'h96e8;
RsqrteLUT[6522] = 16'h96e5;
RsqrteLUT[6523] = 16'h96e2;
RsqrteLUT[6524] = 16'h96df;
RsqrteLUT[6525] = 16'h96dc;
RsqrteLUT[6526] = 16'h96d9;
RsqrteLUT[6527] = 16'h96d6;
RsqrteLUT[6528] = 16'h96d4;
RsqrteLUT[6529] = 16'h96ce;
RsqrteLUT[6530] = 16'h96c9;
RsqrteLUT[6531] = 16'h96c3;
RsqrteLUT[6532] = 16'h96be;
RsqrteLUT[6533] = 16'h96b9;
RsqrteLUT[6534] = 16'h96b4;
RsqrteLUT[6535] = 16'h96af;
RsqrteLUT[6536] = 16'h96aa;
RsqrteLUT[6537] = 16'h96a5;
RsqrteLUT[6538] = 16'h96a1;
RsqrteLUT[6539] = 16'h969c;
RsqrteLUT[6540] = 16'h9698;
RsqrteLUT[6541] = 16'h9694;
RsqrteLUT[6542] = 16'h968f;
RsqrteLUT[6543] = 16'h968b;
RsqrteLUT[6544] = 16'h9687;
RsqrteLUT[6545] = 16'h9683;
RsqrteLUT[6546] = 16'h967f;
RsqrteLUT[6547] = 16'h967b;
RsqrteLUT[6548] = 16'h9678;
RsqrteLUT[6549] = 16'h9674;
RsqrteLUT[6550] = 16'h9670;
RsqrteLUT[6551] = 16'h966d;
RsqrteLUT[6552] = 16'h9669;
RsqrteLUT[6553] = 16'h9666;
RsqrteLUT[6554] = 16'h9662;
RsqrteLUT[6555] = 16'h965f;
RsqrteLUT[6556] = 16'h965b;
RsqrteLUT[6557] = 16'h9658;
RsqrteLUT[6558] = 16'h9655;
RsqrteLUT[6559] = 16'h9652;
RsqrteLUT[6560] = 16'h964f;
RsqrteLUT[6561] = 16'h964c;
RsqrteLUT[6562] = 16'h9649;
RsqrteLUT[6563] = 16'h9646;
RsqrteLUT[6564] = 16'h9643;
RsqrteLUT[6565] = 16'h9640;
RsqrteLUT[6566] = 16'h963d;
RsqrteLUT[6567] = 16'h963a;
RsqrteLUT[6568] = 16'h9638;
RsqrteLUT[6569] = 16'h9635;
RsqrteLUT[6570] = 16'h9632;
RsqrteLUT[6571] = 16'h962f;
RsqrteLUT[6572] = 16'h962d;
RsqrteLUT[6573] = 16'h962a;
RsqrteLUT[6574] = 16'h9628;
RsqrteLUT[6575] = 16'h9625;
RsqrteLUT[6576] = 16'h9623;
RsqrteLUT[6577] = 16'h9620;
RsqrteLUT[6578] = 16'h961e;
RsqrteLUT[6579] = 16'h961c;
RsqrteLUT[6580] = 16'h9619;
RsqrteLUT[6581] = 16'h9617;
RsqrteLUT[6582] = 16'h9615;
RsqrteLUT[6583] = 16'h9613;
RsqrteLUT[6584] = 16'h9610;
RsqrteLUT[6585] = 16'h960e;
RsqrteLUT[6586] = 16'h960c;
RsqrteLUT[6587] = 16'h960a;
RsqrteLUT[6588] = 16'h9608;
RsqrteLUT[6589] = 16'h9606;
RsqrteLUT[6590] = 16'h9604;
RsqrteLUT[6591] = 16'h9602;
RsqrteLUT[6592] = 16'h9600;
RsqrteLUT[6593] = 16'h95f8;
RsqrteLUT[6594] = 16'h95f0;
RsqrteLUT[6595] = 16'h95e8;
RsqrteLUT[6596] = 16'h95e1;
RsqrteLUT[6597] = 16'h95da;
RsqrteLUT[6598] = 16'h95d3;
RsqrteLUT[6599] = 16'h95cc;
RsqrteLUT[6600] = 16'h95c5;
RsqrteLUT[6601] = 16'h95be;
RsqrteLUT[6602] = 16'h95b8;
RsqrteLUT[6603] = 16'h95b1;
RsqrteLUT[6604] = 16'h95ab;
RsqrteLUT[6605] = 16'h95a5;
RsqrteLUT[6606] = 16'h959f;
RsqrteLUT[6607] = 16'h9599;
RsqrteLUT[6608] = 16'h9593;
RsqrteLUT[6609] = 16'h958e;
RsqrteLUT[6610] = 16'h9588;
RsqrteLUT[6611] = 16'h9583;
RsqrteLUT[6612] = 16'h957d;
RsqrteLUT[6613] = 16'h9578;
RsqrteLUT[6614] = 16'h9573;
RsqrteLUT[6615] = 16'h956e;
RsqrteLUT[6616] = 16'h9569;
RsqrteLUT[6617] = 16'h9564;
RsqrteLUT[6618] = 16'h955f;
RsqrteLUT[6619] = 16'h955a;
RsqrteLUT[6620] = 16'h9556;
RsqrteLUT[6621] = 16'h9551;
RsqrteLUT[6622] = 16'h954c;
RsqrteLUT[6623] = 16'h9548;
RsqrteLUT[6624] = 16'h9544;
RsqrteLUT[6625] = 16'h953f;
RsqrteLUT[6626] = 16'h953b;
RsqrteLUT[6627] = 16'h9537;
RsqrteLUT[6628] = 16'h9533;
RsqrteLUT[6629] = 16'h952f;
RsqrteLUT[6630] = 16'h952b;
RsqrteLUT[6631] = 16'h9527;
RsqrteLUT[6632] = 16'h9523;
RsqrteLUT[6633] = 16'h951f;
RsqrteLUT[6634] = 16'h951b;
RsqrteLUT[6635] = 16'h9517;
RsqrteLUT[6636] = 16'h9514;
RsqrteLUT[6637] = 16'h9510;
RsqrteLUT[6638] = 16'h950d;
RsqrteLUT[6639] = 16'h9509;
RsqrteLUT[6640] = 16'h9506;
RsqrteLUT[6641] = 16'h9502;
RsqrteLUT[6642] = 16'h94ff;
RsqrteLUT[6643] = 16'h94fb;
RsqrteLUT[6644] = 16'h94f8;
RsqrteLUT[6645] = 16'h94f5;
RsqrteLUT[6646] = 16'h94f2;
RsqrteLUT[6647] = 16'h94ee;
RsqrteLUT[6648] = 16'h94eb;
RsqrteLUT[6649] = 16'h94e8;
RsqrteLUT[6650] = 16'h94e5;
RsqrteLUT[6651] = 16'h94e2;
RsqrteLUT[6652] = 16'h94df;
RsqrteLUT[6653] = 16'h94dc;
RsqrteLUT[6654] = 16'h94d9;
RsqrteLUT[6655] = 16'h94d6;
RsqrteLUT[6656] = 16'h94d4;
RsqrteLUT[6657] = 16'h94ce;
RsqrteLUT[6658] = 16'h94c9;
RsqrteLUT[6659] = 16'h94c3;
RsqrteLUT[6660] = 16'h94be;
RsqrteLUT[6661] = 16'h94b9;
RsqrteLUT[6662] = 16'h94b4;
RsqrteLUT[6663] = 16'h94af;
RsqrteLUT[6664] = 16'h94aa;
RsqrteLUT[6665] = 16'h94a5;
RsqrteLUT[6666] = 16'h94a1;
RsqrteLUT[6667] = 16'h949c;
RsqrteLUT[6668] = 16'h9498;
RsqrteLUT[6669] = 16'h9494;
RsqrteLUT[6670] = 16'h948f;
RsqrteLUT[6671] = 16'h948b;
RsqrteLUT[6672] = 16'h9487;
RsqrteLUT[6673] = 16'h9483;
RsqrteLUT[6674] = 16'h947f;
RsqrteLUT[6675] = 16'h947b;
RsqrteLUT[6676] = 16'h9478;
RsqrteLUT[6677] = 16'h9474;
RsqrteLUT[6678] = 16'h9470;
RsqrteLUT[6679] = 16'h946d;
RsqrteLUT[6680] = 16'h9469;
RsqrteLUT[6681] = 16'h9466;
RsqrteLUT[6682] = 16'h9462;
RsqrteLUT[6683] = 16'h945f;
RsqrteLUT[6684] = 16'h945b;
RsqrteLUT[6685] = 16'h9458;
RsqrteLUT[6686] = 16'h9455;
RsqrteLUT[6687] = 16'h9452;
RsqrteLUT[6688] = 16'h944f;
RsqrteLUT[6689] = 16'h944c;
RsqrteLUT[6690] = 16'h9449;
RsqrteLUT[6691] = 16'h9446;
RsqrteLUT[6692] = 16'h9443;
RsqrteLUT[6693] = 16'h9440;
RsqrteLUT[6694] = 16'h943d;
RsqrteLUT[6695] = 16'h943a;
RsqrteLUT[6696] = 16'h9438;
RsqrteLUT[6697] = 16'h9435;
RsqrteLUT[6698] = 16'h9432;
RsqrteLUT[6699] = 16'h942f;
RsqrteLUT[6700] = 16'h942d;
RsqrteLUT[6701] = 16'h942a;
RsqrteLUT[6702] = 16'h9428;
RsqrteLUT[6703] = 16'h9425;
RsqrteLUT[6704] = 16'h9423;
RsqrteLUT[6705] = 16'h9420;
RsqrteLUT[6706] = 16'h941e;
RsqrteLUT[6707] = 16'h941c;
RsqrteLUT[6708] = 16'h9419;
RsqrteLUT[6709] = 16'h9417;
RsqrteLUT[6710] = 16'h9415;
RsqrteLUT[6711] = 16'h9413;
RsqrteLUT[6712] = 16'h9410;
RsqrteLUT[6713] = 16'h940e;
RsqrteLUT[6714] = 16'h940c;
RsqrteLUT[6715] = 16'h940a;
RsqrteLUT[6716] = 16'h9408;
RsqrteLUT[6717] = 16'h9406;
RsqrteLUT[6718] = 16'h9404;
RsqrteLUT[6719] = 16'h9402;
RsqrteLUT[6720] = 16'h9400;
RsqrteLUT[6721] = 16'h93f8;
RsqrteLUT[6722] = 16'h93f0;
RsqrteLUT[6723] = 16'h93e8;
RsqrteLUT[6724] = 16'h93e1;
RsqrteLUT[6725] = 16'h93da;
RsqrteLUT[6726] = 16'h93d3;
RsqrteLUT[6727] = 16'h93cc;
RsqrteLUT[6728] = 16'h93c5;
RsqrteLUT[6729] = 16'h93be;
RsqrteLUT[6730] = 16'h93b8;
RsqrteLUT[6731] = 16'h93b1;
RsqrteLUT[6732] = 16'h93ab;
RsqrteLUT[6733] = 16'h93a5;
RsqrteLUT[6734] = 16'h939f;
RsqrteLUT[6735] = 16'h9399;
RsqrteLUT[6736] = 16'h9393;
RsqrteLUT[6737] = 16'h938e;
RsqrteLUT[6738] = 16'h9388;
RsqrteLUT[6739] = 16'h9383;
RsqrteLUT[6740] = 16'h937d;
RsqrteLUT[6741] = 16'h9378;
RsqrteLUT[6742] = 16'h9373;
RsqrteLUT[6743] = 16'h936e;
RsqrteLUT[6744] = 16'h9369;
RsqrteLUT[6745] = 16'h9364;
RsqrteLUT[6746] = 16'h935f;
RsqrteLUT[6747] = 16'h935a;
RsqrteLUT[6748] = 16'h9356;
RsqrteLUT[6749] = 16'h9351;
RsqrteLUT[6750] = 16'h934c;
RsqrteLUT[6751] = 16'h9348;
RsqrteLUT[6752] = 16'h9344;
RsqrteLUT[6753] = 16'h933f;
RsqrteLUT[6754] = 16'h933b;
RsqrteLUT[6755] = 16'h9337;
RsqrteLUT[6756] = 16'h9333;
RsqrteLUT[6757] = 16'h932f;
RsqrteLUT[6758] = 16'h932b;
RsqrteLUT[6759] = 16'h9327;
RsqrteLUT[6760] = 16'h9323;
RsqrteLUT[6761] = 16'h931f;
RsqrteLUT[6762] = 16'h931b;
RsqrteLUT[6763] = 16'h9317;
RsqrteLUT[6764] = 16'h9314;
RsqrteLUT[6765] = 16'h9310;
RsqrteLUT[6766] = 16'h930d;
RsqrteLUT[6767] = 16'h9309;
RsqrteLUT[6768] = 16'h9306;
RsqrteLUT[6769] = 16'h9302;
RsqrteLUT[6770] = 16'h92ff;
RsqrteLUT[6771] = 16'h92fb;
RsqrteLUT[6772] = 16'h92f8;
RsqrteLUT[6773] = 16'h92f5;
RsqrteLUT[6774] = 16'h92f2;
RsqrteLUT[6775] = 16'h92ee;
RsqrteLUT[6776] = 16'h92eb;
RsqrteLUT[6777] = 16'h92e8;
RsqrteLUT[6778] = 16'h92e5;
RsqrteLUT[6779] = 16'h92e2;
RsqrteLUT[6780] = 16'h92df;
RsqrteLUT[6781] = 16'h92dc;
RsqrteLUT[6782] = 16'h92d9;
RsqrteLUT[6783] = 16'h92d6;
RsqrteLUT[6784] = 16'h92d4;
RsqrteLUT[6785] = 16'h92ce;
RsqrteLUT[6786] = 16'h92c9;
RsqrteLUT[6787] = 16'h92c3;
RsqrteLUT[6788] = 16'h92be;
RsqrteLUT[6789] = 16'h92b9;
RsqrteLUT[6790] = 16'h92b4;
RsqrteLUT[6791] = 16'h92af;
RsqrteLUT[6792] = 16'h92aa;
RsqrteLUT[6793] = 16'h92a5;
RsqrteLUT[6794] = 16'h92a1;
RsqrteLUT[6795] = 16'h929c;
RsqrteLUT[6796] = 16'h9298;
RsqrteLUT[6797] = 16'h9294;
RsqrteLUT[6798] = 16'h928f;
RsqrteLUT[6799] = 16'h928b;
RsqrteLUT[6800] = 16'h9287;
RsqrteLUT[6801] = 16'h9283;
RsqrteLUT[6802] = 16'h927f;
RsqrteLUT[6803] = 16'h927b;
RsqrteLUT[6804] = 16'h9278;
RsqrteLUT[6805] = 16'h9274;
RsqrteLUT[6806] = 16'h9270;
RsqrteLUT[6807] = 16'h926d;
RsqrteLUT[6808] = 16'h9269;
RsqrteLUT[6809] = 16'h9266;
RsqrteLUT[6810] = 16'h9262;
RsqrteLUT[6811] = 16'h925f;
RsqrteLUT[6812] = 16'h925b;
RsqrteLUT[6813] = 16'h9258;
RsqrteLUT[6814] = 16'h9255;
RsqrteLUT[6815] = 16'h9252;
RsqrteLUT[6816] = 16'h924f;
RsqrteLUT[6817] = 16'h924c;
RsqrteLUT[6818] = 16'h9249;
RsqrteLUT[6819] = 16'h9246;
RsqrteLUT[6820] = 16'h9243;
RsqrteLUT[6821] = 16'h9240;
RsqrteLUT[6822] = 16'h923d;
RsqrteLUT[6823] = 16'h923a;
RsqrteLUT[6824] = 16'h9238;
RsqrteLUT[6825] = 16'h9235;
RsqrteLUT[6826] = 16'h9232;
RsqrteLUT[6827] = 16'h922f;
RsqrteLUT[6828] = 16'h922d;
RsqrteLUT[6829] = 16'h922a;
RsqrteLUT[6830] = 16'h9228;
RsqrteLUT[6831] = 16'h9225;
RsqrteLUT[6832] = 16'h9223;
RsqrteLUT[6833] = 16'h9220;
RsqrteLUT[6834] = 16'h921e;
RsqrteLUT[6835] = 16'h921c;
RsqrteLUT[6836] = 16'h9219;
RsqrteLUT[6837] = 16'h9217;
RsqrteLUT[6838] = 16'h9215;
RsqrteLUT[6839] = 16'h9213;
RsqrteLUT[6840] = 16'h9210;
RsqrteLUT[6841] = 16'h920e;
RsqrteLUT[6842] = 16'h920c;
RsqrteLUT[6843] = 16'h920a;
RsqrteLUT[6844] = 16'h9208;
RsqrteLUT[6845] = 16'h9206;
RsqrteLUT[6846] = 16'h9204;
RsqrteLUT[6847] = 16'h9202;
RsqrteLUT[6848] = 16'h9200;
RsqrteLUT[6849] = 16'h91f8;
RsqrteLUT[6850] = 16'h91f0;
RsqrteLUT[6851] = 16'h91e8;
RsqrteLUT[6852] = 16'h91e1;
RsqrteLUT[6853] = 16'h91da;
RsqrteLUT[6854] = 16'h91d3;
RsqrteLUT[6855] = 16'h91cc;
RsqrteLUT[6856] = 16'h91c5;
RsqrteLUT[6857] = 16'h91be;
RsqrteLUT[6858] = 16'h91b8;
RsqrteLUT[6859] = 16'h91b1;
RsqrteLUT[6860] = 16'h91ab;
RsqrteLUT[6861] = 16'h91a5;
RsqrteLUT[6862] = 16'h919f;
RsqrteLUT[6863] = 16'h9199;
RsqrteLUT[6864] = 16'h9193;
RsqrteLUT[6865] = 16'h918e;
RsqrteLUT[6866] = 16'h9188;
RsqrteLUT[6867] = 16'h9183;
RsqrteLUT[6868] = 16'h917d;
RsqrteLUT[6869] = 16'h9178;
RsqrteLUT[6870] = 16'h9173;
RsqrteLUT[6871] = 16'h916e;
RsqrteLUT[6872] = 16'h9169;
RsqrteLUT[6873] = 16'h9164;
RsqrteLUT[6874] = 16'h915f;
RsqrteLUT[6875] = 16'h915a;
RsqrteLUT[6876] = 16'h9156;
RsqrteLUT[6877] = 16'h9151;
RsqrteLUT[6878] = 16'h914c;
RsqrteLUT[6879] = 16'h9148;
RsqrteLUT[6880] = 16'h9144;
RsqrteLUT[6881] = 16'h913f;
RsqrteLUT[6882] = 16'h913b;
RsqrteLUT[6883] = 16'h9137;
RsqrteLUT[6884] = 16'h9133;
RsqrteLUT[6885] = 16'h912f;
RsqrteLUT[6886] = 16'h912b;
RsqrteLUT[6887] = 16'h9127;
RsqrteLUT[6888] = 16'h9123;
RsqrteLUT[6889] = 16'h911f;
RsqrteLUT[6890] = 16'h911b;
RsqrteLUT[6891] = 16'h9117;
RsqrteLUT[6892] = 16'h9114;
RsqrteLUT[6893] = 16'h9110;
RsqrteLUT[6894] = 16'h910d;
RsqrteLUT[6895] = 16'h9109;
RsqrteLUT[6896] = 16'h9106;
RsqrteLUT[6897] = 16'h9102;
RsqrteLUT[6898] = 16'h90ff;
RsqrteLUT[6899] = 16'h90fb;
RsqrteLUT[6900] = 16'h90f8;
RsqrteLUT[6901] = 16'h90f5;
RsqrteLUT[6902] = 16'h90f2;
RsqrteLUT[6903] = 16'h90ee;
RsqrteLUT[6904] = 16'h90eb;
RsqrteLUT[6905] = 16'h90e8;
RsqrteLUT[6906] = 16'h90e5;
RsqrteLUT[6907] = 16'h90e2;
RsqrteLUT[6908] = 16'h90df;
RsqrteLUT[6909] = 16'h90dc;
RsqrteLUT[6910] = 16'h90d9;
RsqrteLUT[6911] = 16'h90d6;
RsqrteLUT[6912] = 16'h90d4;
RsqrteLUT[6913] = 16'h90ce;
RsqrteLUT[6914] = 16'h90c9;
RsqrteLUT[6915] = 16'h90c3;
RsqrteLUT[6916] = 16'h90be;
RsqrteLUT[6917] = 16'h90b9;
RsqrteLUT[6918] = 16'h90b4;
RsqrteLUT[6919] = 16'h90af;
RsqrteLUT[6920] = 16'h90aa;
RsqrteLUT[6921] = 16'h90a5;
RsqrteLUT[6922] = 16'h90a1;
RsqrteLUT[6923] = 16'h909c;
RsqrteLUT[6924] = 16'h9098;
RsqrteLUT[6925] = 16'h9094;
RsqrteLUT[6926] = 16'h908f;
RsqrteLUT[6927] = 16'h908b;
RsqrteLUT[6928] = 16'h9087;
RsqrteLUT[6929] = 16'h9083;
RsqrteLUT[6930] = 16'h907f;
RsqrteLUT[6931] = 16'h907b;
RsqrteLUT[6932] = 16'h9078;
RsqrteLUT[6933] = 16'h9074;
RsqrteLUT[6934] = 16'h9070;
RsqrteLUT[6935] = 16'h906d;
RsqrteLUT[6936] = 16'h9069;
RsqrteLUT[6937] = 16'h9066;
RsqrteLUT[6938] = 16'h9062;
RsqrteLUT[6939] = 16'h905f;
RsqrteLUT[6940] = 16'h905b;
RsqrteLUT[6941] = 16'h9058;
RsqrteLUT[6942] = 16'h9055;
RsqrteLUT[6943] = 16'h9052;
RsqrteLUT[6944] = 16'h904f;
RsqrteLUT[6945] = 16'h904c;
RsqrteLUT[6946] = 16'h9049;
RsqrteLUT[6947] = 16'h9046;
RsqrteLUT[6948] = 16'h9043;
RsqrteLUT[6949] = 16'h9040;
RsqrteLUT[6950] = 16'h903d;
RsqrteLUT[6951] = 16'h903a;
RsqrteLUT[6952] = 16'h9038;
RsqrteLUT[6953] = 16'h9035;
RsqrteLUT[6954] = 16'h9032;
RsqrteLUT[6955] = 16'h902f;
RsqrteLUT[6956] = 16'h902d;
RsqrteLUT[6957] = 16'h902a;
RsqrteLUT[6958] = 16'h9028;
RsqrteLUT[6959] = 16'h9025;
RsqrteLUT[6960] = 16'h9023;
RsqrteLUT[6961] = 16'h9020;
RsqrteLUT[6962] = 16'h901e;
RsqrteLUT[6963] = 16'h901c;
RsqrteLUT[6964] = 16'h9019;
RsqrteLUT[6965] = 16'h9017;
RsqrteLUT[6966] = 16'h9015;
RsqrteLUT[6967] = 16'h9013;
RsqrteLUT[6968] = 16'h9010;
RsqrteLUT[6969] = 16'h900e;
RsqrteLUT[6970] = 16'h900c;
RsqrteLUT[6971] = 16'h900a;
RsqrteLUT[6972] = 16'h9008;
RsqrteLUT[6973] = 16'h9006;
RsqrteLUT[6974] = 16'h9004;
RsqrteLUT[6975] = 16'h9002;
RsqrteLUT[6976] = 16'h9000;
RsqrteLUT[6977] = 16'h8ff8;
RsqrteLUT[6978] = 16'h8ff0;
RsqrteLUT[6979] = 16'h8fe8;
RsqrteLUT[6980] = 16'h8fe1;
RsqrteLUT[6981] = 16'h8fda;
RsqrteLUT[6982] = 16'h8fd3;
RsqrteLUT[6983] = 16'h8fcc;
RsqrteLUT[6984] = 16'h8fc5;
RsqrteLUT[6985] = 16'h8fbe;
RsqrteLUT[6986] = 16'h8fb8;
RsqrteLUT[6987] = 16'h8fb1;
RsqrteLUT[6988] = 16'h8fab;
RsqrteLUT[6989] = 16'h8fa5;
RsqrteLUT[6990] = 16'h8f9f;
RsqrteLUT[6991] = 16'h8f99;
RsqrteLUT[6992] = 16'h8f93;
RsqrteLUT[6993] = 16'h8f8e;
RsqrteLUT[6994] = 16'h8f88;
RsqrteLUT[6995] = 16'h8f83;
RsqrteLUT[6996] = 16'h8f7d;
RsqrteLUT[6997] = 16'h8f78;
RsqrteLUT[6998] = 16'h8f73;
RsqrteLUT[6999] = 16'h8f6e;
RsqrteLUT[7000] = 16'h8f69;
RsqrteLUT[7001] = 16'h8f64;
RsqrteLUT[7002] = 16'h8f5f;
RsqrteLUT[7003] = 16'h8f5a;
RsqrteLUT[7004] = 16'h8f56;
RsqrteLUT[7005] = 16'h8f51;
RsqrteLUT[7006] = 16'h8f4c;
RsqrteLUT[7007] = 16'h8f48;
RsqrteLUT[7008] = 16'h8f44;
RsqrteLUT[7009] = 16'h8f3f;
RsqrteLUT[7010] = 16'h8f3b;
RsqrteLUT[7011] = 16'h8f37;
RsqrteLUT[7012] = 16'h8f33;
RsqrteLUT[7013] = 16'h8f2f;
RsqrteLUT[7014] = 16'h8f2b;
RsqrteLUT[7015] = 16'h8f27;
RsqrteLUT[7016] = 16'h8f23;
RsqrteLUT[7017] = 16'h8f1f;
RsqrteLUT[7018] = 16'h8f1b;
RsqrteLUT[7019] = 16'h8f17;
RsqrteLUT[7020] = 16'h8f14;
RsqrteLUT[7021] = 16'h8f10;
RsqrteLUT[7022] = 16'h8f0d;
RsqrteLUT[7023] = 16'h8f09;
RsqrteLUT[7024] = 16'h8f06;
RsqrteLUT[7025] = 16'h8f02;
RsqrteLUT[7026] = 16'h8eff;
RsqrteLUT[7027] = 16'h8efb;
RsqrteLUT[7028] = 16'h8ef8;
RsqrteLUT[7029] = 16'h8ef5;
RsqrteLUT[7030] = 16'h8ef2;
RsqrteLUT[7031] = 16'h8eee;
RsqrteLUT[7032] = 16'h8eeb;
RsqrteLUT[7033] = 16'h8ee8;
RsqrteLUT[7034] = 16'h8ee5;
RsqrteLUT[7035] = 16'h8ee2;
RsqrteLUT[7036] = 16'h8edf;
RsqrteLUT[7037] = 16'h8edc;
RsqrteLUT[7038] = 16'h8ed9;
RsqrteLUT[7039] = 16'h8ed6;
RsqrteLUT[7040] = 16'h8ed4;
RsqrteLUT[7041] = 16'h8ece;
RsqrteLUT[7042] = 16'h8ec9;
RsqrteLUT[7043] = 16'h8ec3;
RsqrteLUT[7044] = 16'h8ebe;
RsqrteLUT[7045] = 16'h8eb9;
RsqrteLUT[7046] = 16'h8eb4;
RsqrteLUT[7047] = 16'h8eaf;
RsqrteLUT[7048] = 16'h8eaa;
RsqrteLUT[7049] = 16'h8ea5;
RsqrteLUT[7050] = 16'h8ea1;
RsqrteLUT[7051] = 16'h8e9c;
RsqrteLUT[7052] = 16'h8e98;
RsqrteLUT[7053] = 16'h8e94;
RsqrteLUT[7054] = 16'h8e8f;
RsqrteLUT[7055] = 16'h8e8b;
RsqrteLUT[7056] = 16'h8e87;
RsqrteLUT[7057] = 16'h8e83;
RsqrteLUT[7058] = 16'h8e7f;
RsqrteLUT[7059] = 16'h8e7b;
RsqrteLUT[7060] = 16'h8e78;
RsqrteLUT[7061] = 16'h8e74;
RsqrteLUT[7062] = 16'h8e70;
RsqrteLUT[7063] = 16'h8e6d;
RsqrteLUT[7064] = 16'h8e69;
RsqrteLUT[7065] = 16'h8e66;
RsqrteLUT[7066] = 16'h8e62;
RsqrteLUT[7067] = 16'h8e5f;
RsqrteLUT[7068] = 16'h8e5b;
RsqrteLUT[7069] = 16'h8e58;
RsqrteLUT[7070] = 16'h8e55;
RsqrteLUT[7071] = 16'h8e52;
RsqrteLUT[7072] = 16'h8e4f;
RsqrteLUT[7073] = 16'h8e4c;
RsqrteLUT[7074] = 16'h8e49;
RsqrteLUT[7075] = 16'h8e46;
RsqrteLUT[7076] = 16'h8e43;
RsqrteLUT[7077] = 16'h8e40;
RsqrteLUT[7078] = 16'h8e3d;
RsqrteLUT[7079] = 16'h8e3a;
RsqrteLUT[7080] = 16'h8e38;
RsqrteLUT[7081] = 16'h8e35;
RsqrteLUT[7082] = 16'h8e32;
RsqrteLUT[7083] = 16'h8e2f;
RsqrteLUT[7084] = 16'h8e2d;
RsqrteLUT[7085] = 16'h8e2a;
RsqrteLUT[7086] = 16'h8e28;
RsqrteLUT[7087] = 16'h8e25;
RsqrteLUT[7088] = 16'h8e23;
RsqrteLUT[7089] = 16'h8e20;
RsqrteLUT[7090] = 16'h8e1e;
RsqrteLUT[7091] = 16'h8e1c;
RsqrteLUT[7092] = 16'h8e19;
RsqrteLUT[7093] = 16'h8e17;
RsqrteLUT[7094] = 16'h8e15;
RsqrteLUT[7095] = 16'h8e13;
RsqrteLUT[7096] = 16'h8e10;
RsqrteLUT[7097] = 16'h8e0e;
RsqrteLUT[7098] = 16'h8e0c;
RsqrteLUT[7099] = 16'h8e0a;
RsqrteLUT[7100] = 16'h8e08;
RsqrteLUT[7101] = 16'h8e06;
RsqrteLUT[7102] = 16'h8e04;
RsqrteLUT[7103] = 16'h8e02;
RsqrteLUT[7104] = 16'h8e00;
RsqrteLUT[7105] = 16'h8df8;
RsqrteLUT[7106] = 16'h8df0;
RsqrteLUT[7107] = 16'h8de8;
RsqrteLUT[7108] = 16'h8de1;
RsqrteLUT[7109] = 16'h8dda;
RsqrteLUT[7110] = 16'h8dd3;
RsqrteLUT[7111] = 16'h8dcc;
RsqrteLUT[7112] = 16'h8dc5;
RsqrteLUT[7113] = 16'h8dbe;
RsqrteLUT[7114] = 16'h8db8;
RsqrteLUT[7115] = 16'h8db1;
RsqrteLUT[7116] = 16'h8dab;
RsqrteLUT[7117] = 16'h8da5;
RsqrteLUT[7118] = 16'h8d9f;
RsqrteLUT[7119] = 16'h8d99;
RsqrteLUT[7120] = 16'h8d93;
RsqrteLUT[7121] = 16'h8d8e;
RsqrteLUT[7122] = 16'h8d88;
RsqrteLUT[7123] = 16'h8d83;
RsqrteLUT[7124] = 16'h8d7d;
RsqrteLUT[7125] = 16'h8d78;
RsqrteLUT[7126] = 16'h8d73;
RsqrteLUT[7127] = 16'h8d6e;
RsqrteLUT[7128] = 16'h8d69;
RsqrteLUT[7129] = 16'h8d64;
RsqrteLUT[7130] = 16'h8d5f;
RsqrteLUT[7131] = 16'h8d5a;
RsqrteLUT[7132] = 16'h8d56;
RsqrteLUT[7133] = 16'h8d51;
RsqrteLUT[7134] = 16'h8d4c;
RsqrteLUT[7135] = 16'h8d48;
RsqrteLUT[7136] = 16'h8d44;
RsqrteLUT[7137] = 16'h8d3f;
RsqrteLUT[7138] = 16'h8d3b;
RsqrteLUT[7139] = 16'h8d37;
RsqrteLUT[7140] = 16'h8d33;
RsqrteLUT[7141] = 16'h8d2f;
RsqrteLUT[7142] = 16'h8d2b;
RsqrteLUT[7143] = 16'h8d27;
RsqrteLUT[7144] = 16'h8d23;
RsqrteLUT[7145] = 16'h8d1f;
RsqrteLUT[7146] = 16'h8d1b;
RsqrteLUT[7147] = 16'h8d17;
RsqrteLUT[7148] = 16'h8d14;
RsqrteLUT[7149] = 16'h8d10;
RsqrteLUT[7150] = 16'h8d0d;
RsqrteLUT[7151] = 16'h8d09;
RsqrteLUT[7152] = 16'h8d06;
RsqrteLUT[7153] = 16'h8d02;
RsqrteLUT[7154] = 16'h8cff;
RsqrteLUT[7155] = 16'h8cfb;
RsqrteLUT[7156] = 16'h8cf8;
RsqrteLUT[7157] = 16'h8cf5;
RsqrteLUT[7158] = 16'h8cf2;
RsqrteLUT[7159] = 16'h8cee;
RsqrteLUT[7160] = 16'h8ceb;
RsqrteLUT[7161] = 16'h8ce8;
RsqrteLUT[7162] = 16'h8ce5;
RsqrteLUT[7163] = 16'h8ce2;
RsqrteLUT[7164] = 16'h8cdf;
RsqrteLUT[7165] = 16'h8cdc;
RsqrteLUT[7166] = 16'h8cd9;
RsqrteLUT[7167] = 16'h8cd6;
RsqrteLUT[7168] = 16'h8cd4;
RsqrteLUT[7169] = 16'h8cce;
RsqrteLUT[7170] = 16'h8cc9;
RsqrteLUT[7171] = 16'h8cc3;
RsqrteLUT[7172] = 16'h8cbe;
RsqrteLUT[7173] = 16'h8cb9;
RsqrteLUT[7174] = 16'h8cb4;
RsqrteLUT[7175] = 16'h8caf;
RsqrteLUT[7176] = 16'h8caa;
RsqrteLUT[7177] = 16'h8ca5;
RsqrteLUT[7178] = 16'h8ca1;
RsqrteLUT[7179] = 16'h8c9c;
RsqrteLUT[7180] = 16'h8c98;
RsqrteLUT[7181] = 16'h8c94;
RsqrteLUT[7182] = 16'h8c8f;
RsqrteLUT[7183] = 16'h8c8b;
RsqrteLUT[7184] = 16'h8c87;
RsqrteLUT[7185] = 16'h8c83;
RsqrteLUT[7186] = 16'h8c7f;
RsqrteLUT[7187] = 16'h8c7b;
RsqrteLUT[7188] = 16'h8c78;
RsqrteLUT[7189] = 16'h8c74;
RsqrteLUT[7190] = 16'h8c70;
RsqrteLUT[7191] = 16'h8c6d;
RsqrteLUT[7192] = 16'h8c69;
RsqrteLUT[7193] = 16'h8c66;
RsqrteLUT[7194] = 16'h8c62;
RsqrteLUT[7195] = 16'h8c5f;
RsqrteLUT[7196] = 16'h8c5b;
RsqrteLUT[7197] = 16'h8c58;
RsqrteLUT[7198] = 16'h8c55;
RsqrteLUT[7199] = 16'h8c52;
RsqrteLUT[7200] = 16'h8c4f;
RsqrteLUT[7201] = 16'h8c4c;
RsqrteLUT[7202] = 16'h8c49;
RsqrteLUT[7203] = 16'h8c46;
RsqrteLUT[7204] = 16'h8c43;
RsqrteLUT[7205] = 16'h8c40;
RsqrteLUT[7206] = 16'h8c3d;
RsqrteLUT[7207] = 16'h8c3a;
RsqrteLUT[7208] = 16'h8c38;
RsqrteLUT[7209] = 16'h8c35;
RsqrteLUT[7210] = 16'h8c32;
RsqrteLUT[7211] = 16'h8c2f;
RsqrteLUT[7212] = 16'h8c2d;
RsqrteLUT[7213] = 16'h8c2a;
RsqrteLUT[7214] = 16'h8c28;
RsqrteLUT[7215] = 16'h8c25;
RsqrteLUT[7216] = 16'h8c23;
RsqrteLUT[7217] = 16'h8c20;
RsqrteLUT[7218] = 16'h8c1e;
RsqrteLUT[7219] = 16'h8c1c;
RsqrteLUT[7220] = 16'h8c19;
RsqrteLUT[7221] = 16'h8c17;
RsqrteLUT[7222] = 16'h8c15;
RsqrteLUT[7223] = 16'h8c13;
RsqrteLUT[7224] = 16'h8c10;
RsqrteLUT[7225] = 16'h8c0e;
RsqrteLUT[7226] = 16'h8c0c;
RsqrteLUT[7227] = 16'h8c0a;
RsqrteLUT[7228] = 16'h8c08;
RsqrteLUT[7229] = 16'h8c06;
RsqrteLUT[7230] = 16'h8c04;
RsqrteLUT[7231] = 16'h8c02;
RsqrteLUT[7232] = 16'h8c00;
RsqrteLUT[7233] = 16'h8bf8;
RsqrteLUT[7234] = 16'h8bf0;
RsqrteLUT[7235] = 16'h8be8;
RsqrteLUT[7236] = 16'h8be1;
RsqrteLUT[7237] = 16'h8bda;
RsqrteLUT[7238] = 16'h8bd3;
RsqrteLUT[7239] = 16'h8bcc;
RsqrteLUT[7240] = 16'h8bc5;
RsqrteLUT[7241] = 16'h8bbe;
RsqrteLUT[7242] = 16'h8bb8;
RsqrteLUT[7243] = 16'h8bb1;
RsqrteLUT[7244] = 16'h8bab;
RsqrteLUT[7245] = 16'h8ba5;
RsqrteLUT[7246] = 16'h8b9f;
RsqrteLUT[7247] = 16'h8b99;
RsqrteLUT[7248] = 16'h8b93;
RsqrteLUT[7249] = 16'h8b8e;
RsqrteLUT[7250] = 16'h8b88;
RsqrteLUT[7251] = 16'h8b83;
RsqrteLUT[7252] = 16'h8b7d;
RsqrteLUT[7253] = 16'h8b78;
RsqrteLUT[7254] = 16'h8b73;
RsqrteLUT[7255] = 16'h8b6e;
RsqrteLUT[7256] = 16'h8b69;
RsqrteLUT[7257] = 16'h8b64;
RsqrteLUT[7258] = 16'h8b5f;
RsqrteLUT[7259] = 16'h8b5a;
RsqrteLUT[7260] = 16'h8b56;
RsqrteLUT[7261] = 16'h8b51;
RsqrteLUT[7262] = 16'h8b4c;
RsqrteLUT[7263] = 16'h8b48;
RsqrteLUT[7264] = 16'h8b44;
RsqrteLUT[7265] = 16'h8b3f;
RsqrteLUT[7266] = 16'h8b3b;
RsqrteLUT[7267] = 16'h8b37;
RsqrteLUT[7268] = 16'h8b33;
RsqrteLUT[7269] = 16'h8b2f;
RsqrteLUT[7270] = 16'h8b2b;
RsqrteLUT[7271] = 16'h8b27;
RsqrteLUT[7272] = 16'h8b23;
RsqrteLUT[7273] = 16'h8b1f;
RsqrteLUT[7274] = 16'h8b1b;
RsqrteLUT[7275] = 16'h8b17;
RsqrteLUT[7276] = 16'h8b14;
RsqrteLUT[7277] = 16'h8b10;
RsqrteLUT[7278] = 16'h8b0d;
RsqrteLUT[7279] = 16'h8b09;
RsqrteLUT[7280] = 16'h8b06;
RsqrteLUT[7281] = 16'h8b02;
RsqrteLUT[7282] = 16'h8aff;
RsqrteLUT[7283] = 16'h8afb;
RsqrteLUT[7284] = 16'h8af8;
RsqrteLUT[7285] = 16'h8af5;
RsqrteLUT[7286] = 16'h8af2;
RsqrteLUT[7287] = 16'h8aee;
RsqrteLUT[7288] = 16'h8aeb;
RsqrteLUT[7289] = 16'h8ae8;
RsqrteLUT[7290] = 16'h8ae5;
RsqrteLUT[7291] = 16'h8ae2;
RsqrteLUT[7292] = 16'h8adf;
RsqrteLUT[7293] = 16'h8adc;
RsqrteLUT[7294] = 16'h8ad9;
RsqrteLUT[7295] = 16'h8ad6;
RsqrteLUT[7296] = 16'h8ad4;
RsqrteLUT[7297] = 16'h8ace;
RsqrteLUT[7298] = 16'h8ac9;
RsqrteLUT[7299] = 16'h8ac3;
RsqrteLUT[7300] = 16'h8abe;
RsqrteLUT[7301] = 16'h8ab9;
RsqrteLUT[7302] = 16'h8ab4;
RsqrteLUT[7303] = 16'h8aaf;
RsqrteLUT[7304] = 16'h8aaa;
RsqrteLUT[7305] = 16'h8aa5;
RsqrteLUT[7306] = 16'h8aa1;
RsqrteLUT[7307] = 16'h8a9c;
RsqrteLUT[7308] = 16'h8a98;
RsqrteLUT[7309] = 16'h8a94;
RsqrteLUT[7310] = 16'h8a8f;
RsqrteLUT[7311] = 16'h8a8b;
RsqrteLUT[7312] = 16'h8a87;
RsqrteLUT[7313] = 16'h8a83;
RsqrteLUT[7314] = 16'h8a7f;
RsqrteLUT[7315] = 16'h8a7b;
RsqrteLUT[7316] = 16'h8a78;
RsqrteLUT[7317] = 16'h8a74;
RsqrteLUT[7318] = 16'h8a70;
RsqrteLUT[7319] = 16'h8a6d;
RsqrteLUT[7320] = 16'h8a69;
RsqrteLUT[7321] = 16'h8a66;
RsqrteLUT[7322] = 16'h8a62;
RsqrteLUT[7323] = 16'h8a5f;
RsqrteLUT[7324] = 16'h8a5b;
RsqrteLUT[7325] = 16'h8a58;
RsqrteLUT[7326] = 16'h8a55;
RsqrteLUT[7327] = 16'h8a52;
RsqrteLUT[7328] = 16'h8a4f;
RsqrteLUT[7329] = 16'h8a4c;
RsqrteLUT[7330] = 16'h8a49;
RsqrteLUT[7331] = 16'h8a46;
RsqrteLUT[7332] = 16'h8a43;
RsqrteLUT[7333] = 16'h8a40;
RsqrteLUT[7334] = 16'h8a3d;
RsqrteLUT[7335] = 16'h8a3a;
RsqrteLUT[7336] = 16'h8a38;
RsqrteLUT[7337] = 16'h8a35;
RsqrteLUT[7338] = 16'h8a32;
RsqrteLUT[7339] = 16'h8a2f;
RsqrteLUT[7340] = 16'h8a2d;
RsqrteLUT[7341] = 16'h8a2a;
RsqrteLUT[7342] = 16'h8a28;
RsqrteLUT[7343] = 16'h8a25;
RsqrteLUT[7344] = 16'h8a23;
RsqrteLUT[7345] = 16'h8a20;
RsqrteLUT[7346] = 16'h8a1e;
RsqrteLUT[7347] = 16'h8a1c;
RsqrteLUT[7348] = 16'h8a19;
RsqrteLUT[7349] = 16'h8a17;
RsqrteLUT[7350] = 16'h8a15;
RsqrteLUT[7351] = 16'h8a13;
RsqrteLUT[7352] = 16'h8a10;
RsqrteLUT[7353] = 16'h8a0e;
RsqrteLUT[7354] = 16'h8a0c;
RsqrteLUT[7355] = 16'h8a0a;
RsqrteLUT[7356] = 16'h8a08;
RsqrteLUT[7357] = 16'h8a06;
RsqrteLUT[7358] = 16'h8a04;
RsqrteLUT[7359] = 16'h8a02;
RsqrteLUT[7360] = 16'h8a00;
RsqrteLUT[7361] = 16'h89f8;
RsqrteLUT[7362] = 16'h89f0;
RsqrteLUT[7363] = 16'h89e8;
RsqrteLUT[7364] = 16'h89e1;
RsqrteLUT[7365] = 16'h89da;
RsqrteLUT[7366] = 16'h89d3;
RsqrteLUT[7367] = 16'h89cc;
RsqrteLUT[7368] = 16'h89c5;
RsqrteLUT[7369] = 16'h89be;
RsqrteLUT[7370] = 16'h89b8;
RsqrteLUT[7371] = 16'h89b1;
RsqrteLUT[7372] = 16'h89ab;
RsqrteLUT[7373] = 16'h89a5;
RsqrteLUT[7374] = 16'h899f;
RsqrteLUT[7375] = 16'h8999;
RsqrteLUT[7376] = 16'h8993;
RsqrteLUT[7377] = 16'h898e;
RsqrteLUT[7378] = 16'h8988;
RsqrteLUT[7379] = 16'h8983;
RsqrteLUT[7380] = 16'h897d;
RsqrteLUT[7381] = 16'h8978;
RsqrteLUT[7382] = 16'h8973;
RsqrteLUT[7383] = 16'h896e;
RsqrteLUT[7384] = 16'h8969;
RsqrteLUT[7385] = 16'h8964;
RsqrteLUT[7386] = 16'h895f;
RsqrteLUT[7387] = 16'h895a;
RsqrteLUT[7388] = 16'h8956;
RsqrteLUT[7389] = 16'h8951;
RsqrteLUT[7390] = 16'h894c;
RsqrteLUT[7391] = 16'h8948;
RsqrteLUT[7392] = 16'h8944;
RsqrteLUT[7393] = 16'h893f;
RsqrteLUT[7394] = 16'h893b;
RsqrteLUT[7395] = 16'h8937;
RsqrteLUT[7396] = 16'h8933;
RsqrteLUT[7397] = 16'h892f;
RsqrteLUT[7398] = 16'h892b;
RsqrteLUT[7399] = 16'h8927;
RsqrteLUT[7400] = 16'h8923;
RsqrteLUT[7401] = 16'h891f;
RsqrteLUT[7402] = 16'h891b;
RsqrteLUT[7403] = 16'h8917;
RsqrteLUT[7404] = 16'h8914;
RsqrteLUT[7405] = 16'h8910;
RsqrteLUT[7406] = 16'h890d;
RsqrteLUT[7407] = 16'h8909;
RsqrteLUT[7408] = 16'h8906;
RsqrteLUT[7409] = 16'h8902;
RsqrteLUT[7410] = 16'h88ff;
RsqrteLUT[7411] = 16'h88fb;
RsqrteLUT[7412] = 16'h88f8;
RsqrteLUT[7413] = 16'h88f5;
RsqrteLUT[7414] = 16'h88f2;
RsqrteLUT[7415] = 16'h88ee;
RsqrteLUT[7416] = 16'h88eb;
RsqrteLUT[7417] = 16'h88e8;
RsqrteLUT[7418] = 16'h88e5;
RsqrteLUT[7419] = 16'h88e2;
RsqrteLUT[7420] = 16'h88df;
RsqrteLUT[7421] = 16'h88dc;
RsqrteLUT[7422] = 16'h88d9;
RsqrteLUT[7423] = 16'h88d6;
RsqrteLUT[7424] = 16'h88d4;
RsqrteLUT[7425] = 16'h88ce;
RsqrteLUT[7426] = 16'h88c9;
RsqrteLUT[7427] = 16'h88c3;
RsqrteLUT[7428] = 16'h88be;
RsqrteLUT[7429] = 16'h88b9;
RsqrteLUT[7430] = 16'h88b4;
RsqrteLUT[7431] = 16'h88af;
RsqrteLUT[7432] = 16'h88aa;
RsqrteLUT[7433] = 16'h88a5;
RsqrteLUT[7434] = 16'h88a1;
RsqrteLUT[7435] = 16'h889c;
RsqrteLUT[7436] = 16'h8898;
RsqrteLUT[7437] = 16'h8894;
RsqrteLUT[7438] = 16'h888f;
RsqrteLUT[7439] = 16'h888b;
RsqrteLUT[7440] = 16'h8887;
RsqrteLUT[7441] = 16'h8883;
RsqrteLUT[7442] = 16'h887f;
RsqrteLUT[7443] = 16'h887b;
RsqrteLUT[7444] = 16'h8878;
RsqrteLUT[7445] = 16'h8874;
RsqrteLUT[7446] = 16'h8870;
RsqrteLUT[7447] = 16'h886d;
RsqrteLUT[7448] = 16'h8869;
RsqrteLUT[7449] = 16'h8866;
RsqrteLUT[7450] = 16'h8862;
RsqrteLUT[7451] = 16'h885f;
RsqrteLUT[7452] = 16'h885b;
RsqrteLUT[7453] = 16'h8858;
RsqrteLUT[7454] = 16'h8855;
RsqrteLUT[7455] = 16'h8852;
RsqrteLUT[7456] = 16'h884f;
RsqrteLUT[7457] = 16'h884c;
RsqrteLUT[7458] = 16'h8849;
RsqrteLUT[7459] = 16'h8846;
RsqrteLUT[7460] = 16'h8843;
RsqrteLUT[7461] = 16'h8840;
RsqrteLUT[7462] = 16'h883d;
RsqrteLUT[7463] = 16'h883a;
RsqrteLUT[7464] = 16'h8838;
RsqrteLUT[7465] = 16'h8835;
RsqrteLUT[7466] = 16'h8832;
RsqrteLUT[7467] = 16'h882f;
RsqrteLUT[7468] = 16'h882d;
RsqrteLUT[7469] = 16'h882a;
RsqrteLUT[7470] = 16'h8828;
RsqrteLUT[7471] = 16'h8825;
RsqrteLUT[7472] = 16'h8823;
RsqrteLUT[7473] = 16'h8820;
RsqrteLUT[7474] = 16'h881e;
RsqrteLUT[7475] = 16'h881c;
RsqrteLUT[7476] = 16'h8819;
RsqrteLUT[7477] = 16'h8817;
RsqrteLUT[7478] = 16'h8815;
RsqrteLUT[7479] = 16'h8813;
RsqrteLUT[7480] = 16'h8810;
RsqrteLUT[7481] = 16'h880e;
RsqrteLUT[7482] = 16'h880c;
RsqrteLUT[7483] = 16'h880a;
RsqrteLUT[7484] = 16'h8808;
RsqrteLUT[7485] = 16'h8806;
RsqrteLUT[7486] = 16'h8804;
RsqrteLUT[7487] = 16'h8802;
RsqrteLUT[7488] = 16'h8800;
RsqrteLUT[7489] = 16'h87f8;
RsqrteLUT[7490] = 16'h87f0;
RsqrteLUT[7491] = 16'h87e8;
RsqrteLUT[7492] = 16'h87e1;
RsqrteLUT[7493] = 16'h87da;
RsqrteLUT[7494] = 16'h87d3;
RsqrteLUT[7495] = 16'h87cc;
RsqrteLUT[7496] = 16'h87c5;
RsqrteLUT[7497] = 16'h87be;
RsqrteLUT[7498] = 16'h87b8;
RsqrteLUT[7499] = 16'h87b1;
RsqrteLUT[7500] = 16'h87ab;
RsqrteLUT[7501] = 16'h87a5;
RsqrteLUT[7502] = 16'h879f;
RsqrteLUT[7503] = 16'h8799;
RsqrteLUT[7504] = 16'h8793;
RsqrteLUT[7505] = 16'h878e;
RsqrteLUT[7506] = 16'h8788;
RsqrteLUT[7507] = 16'h8783;
RsqrteLUT[7508] = 16'h877d;
RsqrteLUT[7509] = 16'h8778;
RsqrteLUT[7510] = 16'h8773;
RsqrteLUT[7511] = 16'h876e;
RsqrteLUT[7512] = 16'h8769;
RsqrteLUT[7513] = 16'h8764;
RsqrteLUT[7514] = 16'h875f;
RsqrteLUT[7515] = 16'h875a;
RsqrteLUT[7516] = 16'h8756;
RsqrteLUT[7517] = 16'h8751;
RsqrteLUT[7518] = 16'h874c;
RsqrteLUT[7519] = 16'h8748;
RsqrteLUT[7520] = 16'h8744;
RsqrteLUT[7521] = 16'h873f;
RsqrteLUT[7522] = 16'h873b;
RsqrteLUT[7523] = 16'h8737;
RsqrteLUT[7524] = 16'h8733;
RsqrteLUT[7525] = 16'h872f;
RsqrteLUT[7526] = 16'h872b;
RsqrteLUT[7527] = 16'h8727;
RsqrteLUT[7528] = 16'h8723;
RsqrteLUT[7529] = 16'h871f;
RsqrteLUT[7530] = 16'h871b;
RsqrteLUT[7531] = 16'h8717;
RsqrteLUT[7532] = 16'h8714;
RsqrteLUT[7533] = 16'h8710;
RsqrteLUT[7534] = 16'h870d;
RsqrteLUT[7535] = 16'h8709;
RsqrteLUT[7536] = 16'h8706;
RsqrteLUT[7537] = 16'h8702;
RsqrteLUT[7538] = 16'h86ff;
RsqrteLUT[7539] = 16'h86fb;
RsqrteLUT[7540] = 16'h86f8;
RsqrteLUT[7541] = 16'h86f5;
RsqrteLUT[7542] = 16'h86f2;
RsqrteLUT[7543] = 16'h86ee;
RsqrteLUT[7544] = 16'h86eb;
RsqrteLUT[7545] = 16'h86e8;
RsqrteLUT[7546] = 16'h86e5;
RsqrteLUT[7547] = 16'h86e2;
RsqrteLUT[7548] = 16'h86df;
RsqrteLUT[7549] = 16'h86dc;
RsqrteLUT[7550] = 16'h86d9;
RsqrteLUT[7551] = 16'h86d6;
RsqrteLUT[7552] = 16'h86d4;
RsqrteLUT[7553] = 16'h86ce;
RsqrteLUT[7554] = 16'h86c9;
RsqrteLUT[7555] = 16'h86c3;
RsqrteLUT[7556] = 16'h86be;
RsqrteLUT[7557] = 16'h86b9;
RsqrteLUT[7558] = 16'h86b4;
RsqrteLUT[7559] = 16'h86af;
RsqrteLUT[7560] = 16'h86aa;
RsqrteLUT[7561] = 16'h86a5;
RsqrteLUT[7562] = 16'h86a1;
RsqrteLUT[7563] = 16'h869c;
RsqrteLUT[7564] = 16'h8698;
RsqrteLUT[7565] = 16'h8694;
RsqrteLUT[7566] = 16'h868f;
RsqrteLUT[7567] = 16'h868b;
RsqrteLUT[7568] = 16'h8687;
RsqrteLUT[7569] = 16'h8683;
RsqrteLUT[7570] = 16'h867f;
RsqrteLUT[7571] = 16'h867b;
RsqrteLUT[7572] = 16'h8678;
RsqrteLUT[7573] = 16'h8674;
RsqrteLUT[7574] = 16'h8670;
RsqrteLUT[7575] = 16'h866d;
RsqrteLUT[7576] = 16'h8669;
RsqrteLUT[7577] = 16'h8666;
RsqrteLUT[7578] = 16'h8662;
RsqrteLUT[7579] = 16'h865f;
RsqrteLUT[7580] = 16'h865b;
RsqrteLUT[7581] = 16'h8658;
RsqrteLUT[7582] = 16'h8655;
RsqrteLUT[7583] = 16'h8652;
RsqrteLUT[7584] = 16'h864f;
RsqrteLUT[7585] = 16'h864c;
RsqrteLUT[7586] = 16'h8649;
RsqrteLUT[7587] = 16'h8646;
RsqrteLUT[7588] = 16'h8643;
RsqrteLUT[7589] = 16'h8640;
RsqrteLUT[7590] = 16'h863d;
RsqrteLUT[7591] = 16'h863a;
RsqrteLUT[7592] = 16'h8638;
RsqrteLUT[7593] = 16'h8635;
RsqrteLUT[7594] = 16'h8632;
RsqrteLUT[7595] = 16'h862f;
RsqrteLUT[7596] = 16'h862d;
RsqrteLUT[7597] = 16'h862a;
RsqrteLUT[7598] = 16'h8628;
RsqrteLUT[7599] = 16'h8625;
RsqrteLUT[7600] = 16'h8623;
RsqrteLUT[7601] = 16'h8620;
RsqrteLUT[7602] = 16'h861e;
RsqrteLUT[7603] = 16'h861c;
RsqrteLUT[7604] = 16'h8619;
RsqrteLUT[7605] = 16'h8617;
RsqrteLUT[7606] = 16'h8615;
RsqrteLUT[7607] = 16'h8613;
RsqrteLUT[7608] = 16'h8610;
RsqrteLUT[7609] = 16'h860e;
RsqrteLUT[7610] = 16'h860c;
RsqrteLUT[7611] = 16'h860a;
RsqrteLUT[7612] = 16'h8608;
RsqrteLUT[7613] = 16'h8606;
RsqrteLUT[7614] = 16'h8604;
RsqrteLUT[7615] = 16'h8602;
RsqrteLUT[7616] = 16'h8600;
RsqrteLUT[7617] = 16'h85f8;
RsqrteLUT[7618] = 16'h85f0;
RsqrteLUT[7619] = 16'h85e8;
RsqrteLUT[7620] = 16'h85e1;
RsqrteLUT[7621] = 16'h85da;
RsqrteLUT[7622] = 16'h85d3;
RsqrteLUT[7623] = 16'h85cc;
RsqrteLUT[7624] = 16'h85c5;
RsqrteLUT[7625] = 16'h85be;
RsqrteLUT[7626] = 16'h85b8;
RsqrteLUT[7627] = 16'h85b1;
RsqrteLUT[7628] = 16'h85ab;
RsqrteLUT[7629] = 16'h85a5;
RsqrteLUT[7630] = 16'h859f;
RsqrteLUT[7631] = 16'h8599;
RsqrteLUT[7632] = 16'h8593;
RsqrteLUT[7633] = 16'h858e;
RsqrteLUT[7634] = 16'h8588;
RsqrteLUT[7635] = 16'h8583;
RsqrteLUT[7636] = 16'h857d;
RsqrteLUT[7637] = 16'h8578;
RsqrteLUT[7638] = 16'h8573;
RsqrteLUT[7639] = 16'h856e;
RsqrteLUT[7640] = 16'h8569;
RsqrteLUT[7641] = 16'h8564;
RsqrteLUT[7642] = 16'h855f;
RsqrteLUT[7643] = 16'h855a;
RsqrteLUT[7644] = 16'h8556;
RsqrteLUT[7645] = 16'h8551;
RsqrteLUT[7646] = 16'h854c;
RsqrteLUT[7647] = 16'h8548;
RsqrteLUT[7648] = 16'h8544;
RsqrteLUT[7649] = 16'h853f;
RsqrteLUT[7650] = 16'h853b;
RsqrteLUT[7651] = 16'h8537;
RsqrteLUT[7652] = 16'h8533;
RsqrteLUT[7653] = 16'h852f;
RsqrteLUT[7654] = 16'h852b;
RsqrteLUT[7655] = 16'h8527;
RsqrteLUT[7656] = 16'h8523;
RsqrteLUT[7657] = 16'h851f;
RsqrteLUT[7658] = 16'h851b;
RsqrteLUT[7659] = 16'h8517;
RsqrteLUT[7660] = 16'h8514;
RsqrteLUT[7661] = 16'h8510;
RsqrteLUT[7662] = 16'h850d;
RsqrteLUT[7663] = 16'h8509;
RsqrteLUT[7664] = 16'h8506;
RsqrteLUT[7665] = 16'h8502;
RsqrteLUT[7666] = 16'h84ff;
RsqrteLUT[7667] = 16'h84fb;
RsqrteLUT[7668] = 16'h84f8;
RsqrteLUT[7669] = 16'h84f5;
RsqrteLUT[7670] = 16'h84f2;
RsqrteLUT[7671] = 16'h84ee;
RsqrteLUT[7672] = 16'h84eb;
RsqrteLUT[7673] = 16'h84e8;
RsqrteLUT[7674] = 16'h84e5;
RsqrteLUT[7675] = 16'h84e2;
RsqrteLUT[7676] = 16'h84df;
RsqrteLUT[7677] = 16'h84dc;
RsqrteLUT[7678] = 16'h84d9;
RsqrteLUT[7679] = 16'h84d6;
RsqrteLUT[7680] = 16'h84d4;
RsqrteLUT[7681] = 16'h84ce;
RsqrteLUT[7682] = 16'h84c9;
RsqrteLUT[7683] = 16'h84c3;
RsqrteLUT[7684] = 16'h84be;
RsqrteLUT[7685] = 16'h84b9;
RsqrteLUT[7686] = 16'h84b4;
RsqrteLUT[7687] = 16'h84af;
RsqrteLUT[7688] = 16'h84aa;
RsqrteLUT[7689] = 16'h84a5;
RsqrteLUT[7690] = 16'h84a1;
RsqrteLUT[7691] = 16'h849c;
RsqrteLUT[7692] = 16'h8498;
RsqrteLUT[7693] = 16'h8494;
RsqrteLUT[7694] = 16'h848f;
RsqrteLUT[7695] = 16'h848b;
RsqrteLUT[7696] = 16'h8487;
RsqrteLUT[7697] = 16'h8483;
RsqrteLUT[7698] = 16'h847f;
RsqrteLUT[7699] = 16'h847b;
RsqrteLUT[7700] = 16'h8478;
RsqrteLUT[7701] = 16'h8474;
RsqrteLUT[7702] = 16'h8470;
RsqrteLUT[7703] = 16'h846d;
RsqrteLUT[7704] = 16'h8469;
RsqrteLUT[7705] = 16'h8466;
RsqrteLUT[7706] = 16'h8462;
RsqrteLUT[7707] = 16'h845f;
RsqrteLUT[7708] = 16'h845b;
RsqrteLUT[7709] = 16'h8458;
RsqrteLUT[7710] = 16'h8455;
RsqrteLUT[7711] = 16'h8452;
RsqrteLUT[7712] = 16'h844f;
RsqrteLUT[7713] = 16'h844c;
RsqrteLUT[7714] = 16'h8449;
RsqrteLUT[7715] = 16'h8446;
RsqrteLUT[7716] = 16'h8443;
RsqrteLUT[7717] = 16'h8440;
RsqrteLUT[7718] = 16'h843d;
RsqrteLUT[7719] = 16'h843a;
RsqrteLUT[7720] = 16'h8438;
RsqrteLUT[7721] = 16'h8435;
RsqrteLUT[7722] = 16'h8432;
RsqrteLUT[7723] = 16'h842f;
RsqrteLUT[7724] = 16'h842d;
RsqrteLUT[7725] = 16'h842a;
RsqrteLUT[7726] = 16'h8428;
RsqrteLUT[7727] = 16'h8425;
RsqrteLUT[7728] = 16'h8423;
RsqrteLUT[7729] = 16'h8420;
RsqrteLUT[7730] = 16'h841e;
RsqrteLUT[7731] = 16'h841c;
RsqrteLUT[7732] = 16'h8419;
RsqrteLUT[7733] = 16'h8417;
RsqrteLUT[7734] = 16'h8415;
RsqrteLUT[7735] = 16'h8413;
RsqrteLUT[7736] = 16'h8410;
RsqrteLUT[7737] = 16'h840e;
RsqrteLUT[7738] = 16'h840c;
RsqrteLUT[7739] = 16'h840a;
RsqrteLUT[7740] = 16'h8408;
RsqrteLUT[7741] = 16'h8406;
RsqrteLUT[7742] = 16'h8404;
RsqrteLUT[7743] = 16'h8402;
RsqrteLUT[7744] = 16'h8400;
RsqrteLUT[7745] = 16'h83f8;
RsqrteLUT[7746] = 16'h83f0;
RsqrteLUT[7747] = 16'h83e8;
RsqrteLUT[7748] = 16'h83e1;
RsqrteLUT[7749] = 16'h83da;
RsqrteLUT[7750] = 16'h83d3;
RsqrteLUT[7751] = 16'h83cc;
RsqrteLUT[7752] = 16'h83c5;
RsqrteLUT[7753] = 16'h83be;
RsqrteLUT[7754] = 16'h83b8;
RsqrteLUT[7755] = 16'h83b1;
RsqrteLUT[7756] = 16'h83ab;
RsqrteLUT[7757] = 16'h83a5;
RsqrteLUT[7758] = 16'h839f;
RsqrteLUT[7759] = 16'h8399;
RsqrteLUT[7760] = 16'h8393;
RsqrteLUT[7761] = 16'h838e;
RsqrteLUT[7762] = 16'h8388;
RsqrteLUT[7763] = 16'h8383;
RsqrteLUT[7764] = 16'h837d;
RsqrteLUT[7765] = 16'h8378;
RsqrteLUT[7766] = 16'h8373;
RsqrteLUT[7767] = 16'h836e;
RsqrteLUT[7768] = 16'h8369;
RsqrteLUT[7769] = 16'h8364;
RsqrteLUT[7770] = 16'h835f;
RsqrteLUT[7771] = 16'h835a;
RsqrteLUT[7772] = 16'h8356;
RsqrteLUT[7773] = 16'h8351;
RsqrteLUT[7774] = 16'h834c;
RsqrteLUT[7775] = 16'h8348;
RsqrteLUT[7776] = 16'h8344;
RsqrteLUT[7777] = 16'h833f;
RsqrteLUT[7778] = 16'h833b;
RsqrteLUT[7779] = 16'h8337;
RsqrteLUT[7780] = 16'h8333;
RsqrteLUT[7781] = 16'h832f;
RsqrteLUT[7782] = 16'h832b;
RsqrteLUT[7783] = 16'h8327;
RsqrteLUT[7784] = 16'h8323;
RsqrteLUT[7785] = 16'h831f;
RsqrteLUT[7786] = 16'h831b;
RsqrteLUT[7787] = 16'h8317;
RsqrteLUT[7788] = 16'h8314;
RsqrteLUT[7789] = 16'h8310;
RsqrteLUT[7790] = 16'h830d;
RsqrteLUT[7791] = 16'h8309;
RsqrteLUT[7792] = 16'h8306;
RsqrteLUT[7793] = 16'h8302;
RsqrteLUT[7794] = 16'h82ff;
RsqrteLUT[7795] = 16'h82fb;
RsqrteLUT[7796] = 16'h82f8;
RsqrteLUT[7797] = 16'h82f5;
RsqrteLUT[7798] = 16'h82f2;
RsqrteLUT[7799] = 16'h82ee;
RsqrteLUT[7800] = 16'h82eb;
RsqrteLUT[7801] = 16'h82e8;
RsqrteLUT[7802] = 16'h82e5;
RsqrteLUT[7803] = 16'h82e2;
RsqrteLUT[7804] = 16'h82df;
RsqrteLUT[7805] = 16'h82dc;
RsqrteLUT[7806] = 16'h82d9;
RsqrteLUT[7807] = 16'h82d6;
RsqrteLUT[7808] = 16'h82d4;
RsqrteLUT[7809] = 16'h82ce;
RsqrteLUT[7810] = 16'h82c9;
RsqrteLUT[7811] = 16'h82c3;
RsqrteLUT[7812] = 16'h82be;
RsqrteLUT[7813] = 16'h82b9;
RsqrteLUT[7814] = 16'h82b4;
RsqrteLUT[7815] = 16'h82af;
RsqrteLUT[7816] = 16'h82aa;
RsqrteLUT[7817] = 16'h82a5;
RsqrteLUT[7818] = 16'h82a1;
RsqrteLUT[7819] = 16'h829c;
RsqrteLUT[7820] = 16'h8298;
RsqrteLUT[7821] = 16'h8294;
RsqrteLUT[7822] = 16'h828f;
RsqrteLUT[7823] = 16'h828b;
RsqrteLUT[7824] = 16'h8287;
RsqrteLUT[7825] = 16'h8283;
RsqrteLUT[7826] = 16'h827f;
RsqrteLUT[7827] = 16'h827b;
RsqrteLUT[7828] = 16'h8278;
RsqrteLUT[7829] = 16'h8274;
RsqrteLUT[7830] = 16'h8270;
RsqrteLUT[7831] = 16'h826d;
RsqrteLUT[7832] = 16'h8269;
RsqrteLUT[7833] = 16'h8266;
RsqrteLUT[7834] = 16'h8262;
RsqrteLUT[7835] = 16'h825f;
RsqrteLUT[7836] = 16'h825b;
RsqrteLUT[7837] = 16'h8258;
RsqrteLUT[7838] = 16'h8255;
RsqrteLUT[7839] = 16'h8252;
RsqrteLUT[7840] = 16'h824f;
RsqrteLUT[7841] = 16'h824c;
RsqrteLUT[7842] = 16'h8249;
RsqrteLUT[7843] = 16'h8246;
RsqrteLUT[7844] = 16'h8243;
RsqrteLUT[7845] = 16'h8240;
RsqrteLUT[7846] = 16'h823d;
RsqrteLUT[7847] = 16'h823a;
RsqrteLUT[7848] = 16'h8238;
RsqrteLUT[7849] = 16'h8235;
RsqrteLUT[7850] = 16'h8232;
RsqrteLUT[7851] = 16'h822f;
RsqrteLUT[7852] = 16'h822d;
RsqrteLUT[7853] = 16'h822a;
RsqrteLUT[7854] = 16'h8228;
RsqrteLUT[7855] = 16'h8225;
RsqrteLUT[7856] = 16'h8223;
RsqrteLUT[7857] = 16'h8220;
RsqrteLUT[7858] = 16'h821e;
RsqrteLUT[7859] = 16'h821c;
RsqrteLUT[7860] = 16'h8219;
RsqrteLUT[7861] = 16'h8217;
RsqrteLUT[7862] = 16'h8215;
RsqrteLUT[7863] = 16'h8213;
RsqrteLUT[7864] = 16'h8210;
RsqrteLUT[7865] = 16'h820e;
RsqrteLUT[7866] = 16'h820c;
RsqrteLUT[7867] = 16'h820a;
RsqrteLUT[7868] = 16'h8208;
RsqrteLUT[7869] = 16'h8206;
RsqrteLUT[7870] = 16'h8204;
RsqrteLUT[7871] = 16'h8202;
RsqrteLUT[7872] = 16'h8200;
RsqrteLUT[7873] = 16'h81f8;
RsqrteLUT[7874] = 16'h81f0;
RsqrteLUT[7875] = 16'h81e8;
RsqrteLUT[7876] = 16'h81e1;
RsqrteLUT[7877] = 16'h81da;
RsqrteLUT[7878] = 16'h81d3;
RsqrteLUT[7879] = 16'h81cc;
RsqrteLUT[7880] = 16'h81c5;
RsqrteLUT[7881] = 16'h81be;
RsqrteLUT[7882] = 16'h81b8;
RsqrteLUT[7883] = 16'h81b1;
RsqrteLUT[7884] = 16'h81ab;
RsqrteLUT[7885] = 16'h81a5;
RsqrteLUT[7886] = 16'h819f;
RsqrteLUT[7887] = 16'h8199;
RsqrteLUT[7888] = 16'h8193;
RsqrteLUT[7889] = 16'h818e;
RsqrteLUT[7890] = 16'h8188;
RsqrteLUT[7891] = 16'h8183;
RsqrteLUT[7892] = 16'h817d;
RsqrteLUT[7893] = 16'h8178;
RsqrteLUT[7894] = 16'h8173;
RsqrteLUT[7895] = 16'h816e;
RsqrteLUT[7896] = 16'h8169;
RsqrteLUT[7897] = 16'h8164;
RsqrteLUT[7898] = 16'h815f;
RsqrteLUT[7899] = 16'h815a;
RsqrteLUT[7900] = 16'h8156;
RsqrteLUT[7901] = 16'h8151;
RsqrteLUT[7902] = 16'h814c;
RsqrteLUT[7903] = 16'h8148;
RsqrteLUT[7904] = 16'h8144;
RsqrteLUT[7905] = 16'h813f;
RsqrteLUT[7906] = 16'h813b;
RsqrteLUT[7907] = 16'h8137;
RsqrteLUT[7908] = 16'h8133;
RsqrteLUT[7909] = 16'h812f;
RsqrteLUT[7910] = 16'h812b;
RsqrteLUT[7911] = 16'h8127;
RsqrteLUT[7912] = 16'h8123;
RsqrteLUT[7913] = 16'h811f;
RsqrteLUT[7914] = 16'h811b;
RsqrteLUT[7915] = 16'h8117;
RsqrteLUT[7916] = 16'h8114;
RsqrteLUT[7917] = 16'h8110;
RsqrteLUT[7918] = 16'h810d;
RsqrteLUT[7919] = 16'h8109;
RsqrteLUT[7920] = 16'h8106;
RsqrteLUT[7921] = 16'h8102;
RsqrteLUT[7922] = 16'h80ff;
RsqrteLUT[7923] = 16'h80fb;
RsqrteLUT[7924] = 16'h80f8;
RsqrteLUT[7925] = 16'h80f5;
RsqrteLUT[7926] = 16'h80f2;
RsqrteLUT[7927] = 16'h80ee;
RsqrteLUT[7928] = 16'h80eb;
RsqrteLUT[7929] = 16'h80e8;
RsqrteLUT[7930] = 16'h80e5;
RsqrteLUT[7931] = 16'h80e2;
RsqrteLUT[7932] = 16'h80df;
RsqrteLUT[7933] = 16'h80dc;
RsqrteLUT[7934] = 16'h80d9;
RsqrteLUT[7935] = 16'h80d6;
RsqrteLUT[7936] = 16'h80d4;
RsqrteLUT[7937] = 16'h80ce;
RsqrteLUT[7938] = 16'h80c9;
RsqrteLUT[7939] = 16'h80c3;
RsqrteLUT[7940] = 16'h80be;
RsqrteLUT[7941] = 16'h80b9;
RsqrteLUT[7942] = 16'h80b4;
RsqrteLUT[7943] = 16'h80af;
RsqrteLUT[7944] = 16'h80aa;
RsqrteLUT[7945] = 16'h80a5;
RsqrteLUT[7946] = 16'h80a1;
RsqrteLUT[7947] = 16'h809c;
RsqrteLUT[7948] = 16'h8098;
RsqrteLUT[7949] = 16'h8094;
RsqrteLUT[7950] = 16'h808f;
RsqrteLUT[7951] = 16'h808b;
RsqrteLUT[7952] = 16'h8087;
RsqrteLUT[7953] = 16'h8083;
RsqrteLUT[7954] = 16'h807f;
RsqrteLUT[7955] = 16'h807b;
RsqrteLUT[7956] = 16'h8078;
RsqrteLUT[7957] = 16'h8074;
RsqrteLUT[7958] = 16'h8070;
RsqrteLUT[7959] = 16'h806d;
RsqrteLUT[7960] = 16'h8069;
RsqrteLUT[7961] = 16'h8066;
RsqrteLUT[7962] = 16'h8062;
RsqrteLUT[7963] = 16'h805f;
RsqrteLUT[7964] = 16'h805b;
RsqrteLUT[7965] = 16'h8058;
RsqrteLUT[7966] = 16'h8055;
RsqrteLUT[7967] = 16'h8052;
RsqrteLUT[7968] = 16'h804f;
RsqrteLUT[7969] = 16'h804c;
RsqrteLUT[7970] = 16'h8049;
RsqrteLUT[7971] = 16'h8046;
RsqrteLUT[7972] = 16'h8043;
RsqrteLUT[7973] = 16'h8040;
RsqrteLUT[7974] = 16'h803d;
RsqrteLUT[7975] = 16'h803a;
RsqrteLUT[7976] = 16'h8038;
RsqrteLUT[7977] = 16'h8035;
RsqrteLUT[7978] = 16'h8032;
RsqrteLUT[7979] = 16'h802f;
RsqrteLUT[7980] = 16'h802d;
RsqrteLUT[7981] = 16'h802a;
RsqrteLUT[7982] = 16'h8028;
RsqrteLUT[7983] = 16'h8025;
RsqrteLUT[7984] = 16'h8023;
RsqrteLUT[7985] = 16'h8020;
RsqrteLUT[7986] = 16'h801e;
RsqrteLUT[7987] = 16'h801c;
RsqrteLUT[7988] = 16'h8019;
RsqrteLUT[7989] = 16'h8017;
RsqrteLUT[7990] = 16'h8015;
RsqrteLUT[7991] = 16'h8013;
RsqrteLUT[7992] = 16'h8010;
RsqrteLUT[7993] = 16'h800e;
RsqrteLUT[7994] = 16'h800c;
RsqrteLUT[7995] = 16'h800a;
RsqrteLUT[7996] = 16'h8008;
RsqrteLUT[7997] = 16'h8006;
RsqrteLUT[7998] = 16'h8004;
RsqrteLUT[7999] = 16'h8002;
RsqrteLUT[8000] = 16'h8000;
RsqrteLUT[8001] = 16'h7ff8;
RsqrteLUT[8002] = 16'h7ff0;
RsqrteLUT[8003] = 16'h7fe8;
RsqrteLUT[8004] = 16'h7fe1;
RsqrteLUT[8005] = 16'h7fda;
RsqrteLUT[8006] = 16'h7fd3;
RsqrteLUT[8007] = 16'h7fcc;
RsqrteLUT[8008] = 16'h7fc5;
RsqrteLUT[8009] = 16'h7fbe;
RsqrteLUT[8010] = 16'h7fb8;
RsqrteLUT[8011] = 16'h7fb1;
RsqrteLUT[8012] = 16'h7fab;
RsqrteLUT[8013] = 16'h7fa5;
RsqrteLUT[8014] = 16'h7f9f;
RsqrteLUT[8015] = 16'h7f99;
RsqrteLUT[8016] = 16'h7f93;
RsqrteLUT[8017] = 16'h7f8e;
RsqrteLUT[8018] = 16'h7f88;
RsqrteLUT[8019] = 16'h7f83;
RsqrteLUT[8020] = 16'h7f7d;
RsqrteLUT[8021] = 16'h7f78;
RsqrteLUT[8022] = 16'h7f73;
RsqrteLUT[8023] = 16'h7f6e;
RsqrteLUT[8024] = 16'h7f69;
RsqrteLUT[8025] = 16'h7f64;
RsqrteLUT[8026] = 16'h7f5f;
RsqrteLUT[8027] = 16'h7f5a;
RsqrteLUT[8028] = 16'h7f56;
RsqrteLUT[8029] = 16'h7f51;
RsqrteLUT[8030] = 16'h7f4c;
RsqrteLUT[8031] = 16'h7f48;
RsqrteLUT[8032] = 16'h7f44;
RsqrteLUT[8033] = 16'h7f3f;
RsqrteLUT[8034] = 16'h7f3b;
RsqrteLUT[8035] = 16'h7f37;
RsqrteLUT[8036] = 16'h7f33;
RsqrteLUT[8037] = 16'h7f2f;
RsqrteLUT[8038] = 16'h7f2b;
RsqrteLUT[8039] = 16'h7f27;
RsqrteLUT[8040] = 16'h7f23;
RsqrteLUT[8041] = 16'h7f1f;
RsqrteLUT[8042] = 16'h7f1b;
RsqrteLUT[8043] = 16'h7f17;
RsqrteLUT[8044] = 16'h7f14;
RsqrteLUT[8045] = 16'h7f10;
RsqrteLUT[8046] = 16'h7f0d;
RsqrteLUT[8047] = 16'h7f09;
RsqrteLUT[8048] = 16'h7f06;
RsqrteLUT[8049] = 16'h7f02;
RsqrteLUT[8050] = 16'h7eff;
RsqrteLUT[8051] = 16'h7efb;
RsqrteLUT[8052] = 16'h7ef8;
RsqrteLUT[8053] = 16'h7ef5;
RsqrteLUT[8054] = 16'h7ef2;
RsqrteLUT[8055] = 16'h7eee;
RsqrteLUT[8056] = 16'h7eeb;
RsqrteLUT[8057] = 16'h7ee8;
RsqrteLUT[8058] = 16'h7ee5;
RsqrteLUT[8059] = 16'h7ee2;
RsqrteLUT[8060] = 16'h7edf;
RsqrteLUT[8061] = 16'h7edc;
RsqrteLUT[8062] = 16'h7ed9;
RsqrteLUT[8063] = 16'h7ed6;
RsqrteLUT[8064] = 16'h7ed4;
RsqrteLUT[8065] = 16'h7ece;
RsqrteLUT[8066] = 16'h7ec9;
RsqrteLUT[8067] = 16'h7ec3;
RsqrteLUT[8068] = 16'h7ebe;
RsqrteLUT[8069] = 16'h7eb9;
RsqrteLUT[8070] = 16'h7eb4;
RsqrteLUT[8071] = 16'h7eaf;
RsqrteLUT[8072] = 16'h7eaa;
RsqrteLUT[8073] = 16'h7ea5;
RsqrteLUT[8074] = 16'h7ea1;
RsqrteLUT[8075] = 16'h7e9c;
RsqrteLUT[8076] = 16'h7e98;
RsqrteLUT[8077] = 16'h7e94;
RsqrteLUT[8078] = 16'h7e8f;
RsqrteLUT[8079] = 16'h7e8b;
RsqrteLUT[8080] = 16'h7e87;
RsqrteLUT[8081] = 16'h7e83;
RsqrteLUT[8082] = 16'h7e7f;
RsqrteLUT[8083] = 16'h7e7b;
RsqrteLUT[8084] = 16'h7e78;
RsqrteLUT[8085] = 16'h7e74;
RsqrteLUT[8086] = 16'h7e70;
RsqrteLUT[8087] = 16'h7e6d;
RsqrteLUT[8088] = 16'h7e69;
RsqrteLUT[8089] = 16'h7e66;
RsqrteLUT[8090] = 16'h7e62;
RsqrteLUT[8091] = 16'h7e5f;
RsqrteLUT[8092] = 16'h7e5b;
RsqrteLUT[8093] = 16'h7e58;
RsqrteLUT[8094] = 16'h7e55;
RsqrteLUT[8095] = 16'h7e52;
RsqrteLUT[8096] = 16'h7e4f;
RsqrteLUT[8097] = 16'h7e4c;
RsqrteLUT[8098] = 16'h7e49;
RsqrteLUT[8099] = 16'h7e46;
RsqrteLUT[8100] = 16'h7e43;
RsqrteLUT[8101] = 16'h7e40;
RsqrteLUT[8102] = 16'h7e3d;
RsqrteLUT[8103] = 16'h7e3a;
RsqrteLUT[8104] = 16'h7e38;
RsqrteLUT[8105] = 16'h7e35;
RsqrteLUT[8106] = 16'h7e32;
RsqrteLUT[8107] = 16'h7e2f;
RsqrteLUT[8108] = 16'h7e2d;
RsqrteLUT[8109] = 16'h7e2a;
RsqrteLUT[8110] = 16'h7e28;
RsqrteLUT[8111] = 16'h7e25;
RsqrteLUT[8112] = 16'h7e23;
RsqrteLUT[8113] = 16'h7e20;
RsqrteLUT[8114] = 16'h7e1e;
RsqrteLUT[8115] = 16'h7e1c;
RsqrteLUT[8116] = 16'h7e19;
RsqrteLUT[8117] = 16'h7e17;
RsqrteLUT[8118] = 16'h7e15;
RsqrteLUT[8119] = 16'h7e13;
RsqrteLUT[8120] = 16'h7e10;
RsqrteLUT[8121] = 16'h7e0e;
RsqrteLUT[8122] = 16'h7e0c;
RsqrteLUT[8123] = 16'h7e0a;
RsqrteLUT[8124] = 16'h7e08;
RsqrteLUT[8125] = 16'h7e06;
RsqrteLUT[8126] = 16'h7e04;
RsqrteLUT[8127] = 16'h7e02;
RsqrteLUT[8128] = 16'h7e00;
RsqrteLUT[8129] = 16'h7df8;
RsqrteLUT[8130] = 16'h7df0;
RsqrteLUT[8131] = 16'h7de8;
RsqrteLUT[8132] = 16'h7de1;
RsqrteLUT[8133] = 16'h7dda;
RsqrteLUT[8134] = 16'h7dd3;
RsqrteLUT[8135] = 16'h7dcc;
RsqrteLUT[8136] = 16'h7dc5;
RsqrteLUT[8137] = 16'h7dbe;
RsqrteLUT[8138] = 16'h7db8;
RsqrteLUT[8139] = 16'h7db1;
RsqrteLUT[8140] = 16'h7dab;
RsqrteLUT[8141] = 16'h7da5;
RsqrteLUT[8142] = 16'h7d9f;
RsqrteLUT[8143] = 16'h7d99;
RsqrteLUT[8144] = 16'h7d93;
RsqrteLUT[8145] = 16'h7d8e;
RsqrteLUT[8146] = 16'h7d88;
RsqrteLUT[8147] = 16'h7d83;
RsqrteLUT[8148] = 16'h7d7d;
RsqrteLUT[8149] = 16'h7d78;
RsqrteLUT[8150] = 16'h7d73;
RsqrteLUT[8151] = 16'h7d6e;
RsqrteLUT[8152] = 16'h7d69;
RsqrteLUT[8153] = 16'h7d64;
RsqrteLUT[8154] = 16'h7d5f;
RsqrteLUT[8155] = 16'h7d5a;
RsqrteLUT[8156] = 16'h7d56;
RsqrteLUT[8157] = 16'h7d51;
RsqrteLUT[8158] = 16'h7d4c;
RsqrteLUT[8159] = 16'h7d48;
RsqrteLUT[8160] = 16'h7d44;
RsqrteLUT[8161] = 16'h7d3f;
RsqrteLUT[8162] = 16'h7d3b;
RsqrteLUT[8163] = 16'h7d37;
RsqrteLUT[8164] = 16'h7d33;
RsqrteLUT[8165] = 16'h7d2f;
RsqrteLUT[8166] = 16'h7d2b;
RsqrteLUT[8167] = 16'h7d27;
RsqrteLUT[8168] = 16'h7d23;
RsqrteLUT[8169] = 16'h7d1f;
RsqrteLUT[8170] = 16'h7d1b;
RsqrteLUT[8171] = 16'h7d17;
RsqrteLUT[8172] = 16'h7d14;
RsqrteLUT[8173] = 16'h7d10;
RsqrteLUT[8174] = 16'h7d0d;
RsqrteLUT[8175] = 16'h7d09;
RsqrteLUT[8176] = 16'h7d06;
RsqrteLUT[8177] = 16'h7d02;
RsqrteLUT[8178] = 16'h7cff;
RsqrteLUT[8179] = 16'h7cfb;
RsqrteLUT[8180] = 16'h7cf8;
RsqrteLUT[8181] = 16'h7cf5;
RsqrteLUT[8182] = 16'h7cf2;
RsqrteLUT[8183] = 16'h7cee;
RsqrteLUT[8184] = 16'h7ceb;
RsqrteLUT[8185] = 16'h7ce8;
RsqrteLUT[8186] = 16'h7ce5;
RsqrteLUT[8187] = 16'h7ce2;
RsqrteLUT[8188] = 16'h7cdf;
RsqrteLUT[8189] = 16'h7cdc;
RsqrteLUT[8190] = 16'h7cd9;
RsqrteLUT[8191] = 16'h7cd6;
end
 
wire [31:0] a1;
reg [31:0] o1;
reg s1, s2;
wire [MSB:`EXTRA_BITS] o2;
F80ToF32 u1 (a[MSB:`EXTRA_BITS], a1);
F32ToF80 u2 (o1, o2);
assign o = {o2,{`EXTRA_BITS{1'b0}}};
 
wire [13:0] index = a1[30:17];
reg [13:0] indexr;
reg [16:0] luto;
 
 
always @(posedge clk)
if (ce) indexr <= index;
always @(posedge clk)
if(ce) s1 <= a1[31];
always @(posedge clk)
if (ce) begin
s2 <= s1;
if (indexr < 14'd8129)
luto <= 17'h7FC0 << 1;
else if (indexr < 14'd8197)
luto <= RsqrteLUT2[indexr - 14'd8197] << 1;
else
luto <= RsqrteLUT[indexr[12:0]];
end
 
wire [7:0] exp = luto[16:9];
wire [22:0] man = {luto[8:0],14'd0};
always @*
if (s2)
o1 <= {1'b0,`QSQRTNEG};
else
o1 = {1'b0,exp,man};
 
`else
`ifdef RSQRT_SM
// Reciprocal square root estimate using a state machine.
 
wire [31:0] a1;
reg [31:0] x2, x2yy;
reg [31:0] y, yy;
wire [31:0] y1 = `FRSQRTE_MAGIC - a1[31:1];
reg [31:0] aa0, bb0, aa1, bb1;
wire [31:0] mo0, mo1, x2yy1p5;
 
reg [3:0] cnt;
reg [2:0] state;
parameter IDLE = 3'd0;
parameter MULP5 = 3'd1;
parameter MULX2YY = 3'd2;
parameter SUB = 3'd3;
parameter RES = 3'd4;
 
always @(posedge clk)
begin
if (ld) begin
state <= MULP5;
cnt <= 4'd5;
aa0 <= a1;
bb0 <= `POINT5;
aa1 <= y1;
bb1 <= y1;
y <= y1;
end
case(state)
IDLE: ;
MULP5:
begin
cnt <= cnt - 4'd1;
if (cnt[3]) begin
cnt <= 4'd5;
x2 <= mo0;
yy <= mo1;
aa0 <= mo0;
bb0 <= mo1;
state <= MULX2YY;
end
end
MULX2YY:
begin
cnt <= cnt - 4'd1;
if (cnt[3]) begin
cnt <= 4'd5;
x2yy <= mo0;
aa0 <= `ONEPOINT5;
bb0 <= mo0;
state <= SUB;
end
end
SUB:
begin
cnt <= cnt - 4'd1;
if (cnt[3]) begin
cnt <= 4'd5;
aa0 <= y;
bb0 <= x2yy1p5;
state <= RES;
end
end
RES:
begin
cnt <= cnt - 4'd1;
if (cnt[3]) begin
state <= IDLE;
end
end
endcase
end
 
F80ToF32 u0 (a, a1);
fpMulnr #(32) u1 (clk, ce, aa0, bb0, mo0);
fpMulnr #(32) u2 (clk, ce, aa1, bb1, mo1);
fpAddsubnr #(32) u3 (clk, ce, 3'd0, 1'b1, aa0, bb0, x2yy1p5);
F32ToF80 u4 (mo0, o);
 
`else
// Reciprocal square root estimate using FP hardware.
 
fpMulnr #(32) u1 (clk, ce, a, `POINT5, x2);
assign y = `FRSQRTE_MAGIC - a[31:1];
fpMulnr #(32) u2 (clk, ce, y, y, yy);
fpMulnr #(32) u3 (clk, ce, x2, yy, x2yy);
fpAddsubnr #(32) u4 (clk, ce, 3'd0, 1'b1, `ONEPOINT5, x2yy, x2yy1p5);
fpMulnr #(32) u5 (clk, ce, y, x2yy1p5, o);
 
`endif
`endif
 
endmodule
/verilog2/fpScaleb.sv
0,0 → 1,99
// ============================================================================
// __
// \\__/ o\ (C) 2019 Robert Finch, Waterloo
// \ __ / All rights reserved.
// \/_// robfinch<remove>@finitron.ca
// ||
//
// fpScaleb.sv
// - floating point Scaleb()
//
// 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/>.
//
// ============================================================================
 
module fpScaleb(clk, ce, a, b, o);
parameter FPWID=80;
`include "fpSize.sv"
input clk;
input ce;
input [FPWID-1+`EXTRA_BITS:0] a;
input [FPWID-1+`EXTRA_BITS:0] b;
output reg [FPWID-1+`EXTRA_BITS:0] o;
 
wire [4:0] cmp_o;
wire nana, nanb;
wire xza, mza;
 
wire [EMSB:0] infXp = {EMSB+1{1'b1}};
wire [EMSB:0] xa;
wire xinfa;
wire anan;
reg anan1;
wire sa;
reg sa1, sa2;
wire [FMSB:0] ma;
reg [EMSB+1:0] xa1a, xa1b, xa2;
reg [FMSB:0] ma1, ma2;
wire bs = b[FPWID-1];
reg bs1;
 
fpDecomp #(FPWID) u1 (.i(a), .sgn(sa), .exp(xa), .man(ma), .fract(), .xz(xza), .mz(), .vz(), .inf(), .xinf(xinfa), .qnan(), .snan(), .nan(anan));
 
// ----------------------------------------------------------------------------
// Clock cycle 1
// ----------------------------------------------------------------------------
always @(posedge clk)
if (ce) xa1a <= xa;
always @(posedge clk)
if (ce) xa1b <= xa + b;
always @(posedge clk)
if (ce) bs1 <= bs;
always @(posedge clk)
if (ce) anan1 <= anan;
always @(posedge clk)
if (ce) sa1 <= sa;
always @(posedge clk)
if (ce) ma1 <= ma;
 
// ----------------------------------------------------------------------------
// Clock cycle 2
// ----------------------------------------------------------------------------
always @(posedge clk)
if (ce) sa2 <= sa1;
always @(posedge clk)
if (ce) begin
if (anan1) begin
xa2 <= xa1a;
ma2 <= ma1;
end
// Underflow? -> limit exponent to zero
else if (bs1 & xa1b[EMSB+1]) begin
xa2 <= 1'd0;
ma2 <= ma1;
end
// overflow ? -> set value to infinity
else if (~bs1 & xa1b[EMSB+1]) begin
xa2 <= infXp;
ma2 <= 1'd0;
end
else begin
xa2 <= xa1b;
ma2 <= ma1;
end
end
 
assign o = {sa2,xa2,ma2};
 
endmodule
/verilog2/fpSigmoid.v
0,0 → 1,189
// ============================================================================
// __
// \\__/ o\ (C) 2017-2019 Robert Finch, Waterloo
// \ __ / All rights reserved.
// \/_// robfinch<remove>@finitron.ca
// ||
//
// sigmoid.v
// - perform sigmoid function
//
//
// 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/>.
//
//
// This module returns the sigmoid of a number using a lookup table.
// -1.0 or +1.0 is returned for entries outside of the range -8.0 to +8.0
//
// ToTo: check pipelining of values
// ============================================================================
 
`include "fpConfig.sv"
 
`define ONE80 80'h3FFF0000000000000000
`define EIGHT80 80'h40020000000000000000
`define FIVETWELVE80 80'h40080000000000000000
`define ONE64 64'h3FF0000000000000
`define EIGHT64 64'h4020000000000000
`define FIVETWELVE64 64'h4080000000000000
`define ONE40 40'h3FE0000000
`define EIGHT40 40'h4040000000
`define ONE32 32'h7F000000
`define EIGHT32 32'h42000000
`define FIVETWELVE32 32'h48000000
 
module fpSigmoid(clk, ce, a, o);
parameter FPWID = 128;
`include "fpSize.sv"
input clk;
input ce;
input [MSB:0] a;
output reg [MSB:0] o;
 
wire [4:0] cmp1_o;
reg [4:0] cmp2_o;
 
// Just the mantissa is stored in the table to economize on the storate.
// The exponent is always the same value (0x3ff). Only the top 32 bits of
// the mantissa are stored.
(* ram_style="block" *)
reg [31:0] SigmoidLUT [0:1023];
 
// Check if the input is in the range (-8 to +8)
// We take the absolute value by trimming off the sign bit.
generate begin : ext
if (FPWID+`EXTRA_BITS==80)
fp_cmp_unit #(FPWID) u1 (.a(a & 80'h7FFFFFFFFFFFFFFFFFFF), .b(`EIGHT80), .o(cmp1_o), .nanx() );
else if (FPWID+`EXTRA_BITS==64)
fp_cmp_unit #(FPWID) u1 (.a(a & 64'h7FFFFFFFFFFFFFFF), .b(`EIGHT64), .o(cmp1_o), .nanx() );
else if (FPWID+`EXTRA_BITS==40)
fp_cmp_unit #(FPWID) u1 (.a(a & 40'h7FFFFFFFFF), .b(`EIGHT40), .o(cmp1_o), .nanx() );
else if (FPWID+`EXTRA_BITS==32)
fp_cmp_unit #(FPWID) u1 (.a(a & 32'h7FFFFFFF), .b(`EIGHT32), .o(cmp1_o), .nanx() );
else begin
always @*
begin
$display("Sigmoid: unsupported FPWIDth.");
$stop;
end
end
end
endgenerate
 
initial begin
`include "D:\Cores6\nvio\v1\rtl\fpUnit\SigTbl.ver"
end
 
// Quickly multiply number by 64 (it is in range -8 to 8) then convert to integer to get
// table index = add 6 to exponent then convert to integer
wire sa;
wire [EMSB:0] xa;
wire [FMSB:0] ma;
fpDecomp #(FPWID) u1 (.i(a), .sgn(sa), .exp(xa), .man(ma), .fract(), .xz(), .vz(), .xinf(), .inf(), .nan() );
 
reg [9:0] lutadr;
wire [5:0] lzcnt;
wire [MSB:0] a1;
wire [MSB:0] i1, i2;
wire [EMSB:0] xa1 = xa + 4'd6;
assign a1 = {sa,xa1,ma}; // we know the exponent won't overflow
wire [31:0] man32a = SigmoidLUT[lutadr];
wire [31:0] man32b = lutadr==10'h3ff ? man32a : SigmoidLUT[lutadr+1];
wire [31:0] man32;
wire [79:0] sig80;
generate begin : la
if (FPWID >= 40) begin
wire [15:0] eps = ma[FMSB-10:FMSB-10-15];
wire [47:0] p = (man32b - man32a) * eps;
assign man32 = man32a + (p >> 26);
cntlz32 u3 (man32,lzcnt);
end
else if (FPWID==32) begin
wire [12:0] eps = ma[FMSB-10:0];
wire [43:0] p = (man32b - man32a) * eps;
assign man32 = man32a + (p >> 26);
cntlz32 u3 (man32,lzcnt);
end
end
endgenerate
 
wire [31:0] man32s = man32 << (lzcnt + 2'd1); // +1 to hide leading one
 
// Convert to integer
f2i #(FPWID) u2
(
.clk(clk),
.ce(1'b1),
.i(a1),
.o(i2)
);
assign i1 = i2 + 512;
 
always @(posedge clk)
if (ce) cmp2_o <= cmp1_o;
 
// We know the integer is in range 0 to 1023
always @(posedge clk)
if(ce) lutadr <= i1[9:0];
reg sa1,sa2;
always @(posedge clk)
if (ce) sa1 <= a[FPWID-1];
always @(posedge clk)
if (ce) sa2 <= sa1;
 
generate begin : ooo
if (FPWID==80) begin
wire [14:0] ex1 = 15'h3ffe - lzcnt;
always @(posedge clk)
if (ce) begin
if (cmp2_o[1]) // abs(a) less than 8 ?
o <= {1'b0,ex1,man32s[31:0],32'd0};
else
o <= sa1 ? 80'h0 : `ONE80;
end
end
else if (FPWID==64) begin
wire [10:0] ex1 = 11'h3fe - lzcnt;
always @(posedge clk)
if (ce) begin
if (cmp2_o[1]) // abs(a) less than 8 ?
o <= {1'b0,ex1,man32s[31:0],20'd0};
else
o <= sa1 ? 64'h0 : `ONE64;
end
end
else if (FPWID==40) begin
wire [9:0] ex1 = 10'h1fe - lzcnt;
always @(posedge clk)
if (ce) begin
if (cmp2_o[1]) // abs(a) less than 8 ?
o <= {1'b0,ex1,man32s[31:3]};
else
o <= sa1 ? 40'h0 : `ONE40;
end
end
else if (FPWID==32) begin
wire [7:0] ex1 = 8'h7e - lzcnt;
always @(posedge clk)
if (ce) begin
if (cmp2_o[1]) // abs(a) less than 8 ?
o <= {1'b0,ex1,man32s[31:9]};
else
o <= sa1 ? 32'h0 : `ONE32;
end
end
end
endgenerate
 
endmodule
/verilog2/fpSize.sv
0,0 → 1,32
`ifndef EXTRA_BITS
`define EXTRA_BITS 0
`endif
 
// This file contains defintions for fields to ease dealing with different fp
// FPWIDths. Some of the code still needs to be modified to support FPWIDths
// other than standard 32,64 or 80 bit.
localparam MSB = FPWID-1+`EXTRA_BITS;
localparam EMSB = FPWID==128 ? 14 :
FPWID==96 ? 14 :
FPWID==80 ? 14 :
FPWID==64 ? 10 :
FPWID==52 ? 10 :
FPWID==48 ? 10 :
FPWID==44 ? 10 :
FPWID==42 ? 10 :
FPWID==40 ? 9 :
FPWID==32 ? 7 :
FPWID==24 ? 6 : 4;
localparam FMSB = FPWID==128 ? (111 + `EXTRA_BITS) :
FPWID==96 ? (79 + `EXTRA_BITS) :
FPWID==80 ? (63 + `EXTRA_BITS) :
FPWID==64 ? (51 + `EXTRA_BITS) :
FPWID==52 ? (39 + `EXTRA_BITS) :
FPWID==48 ? (35 + `EXTRA_BITS) :
FPWID==44 ? (31 + `EXTRA_BITS) :
FPWID==42 ? (29 + `EXTRA_BITS) :
FPWID==40 ? (28 + `EXTRA_BITS) :
FPWID==32 ? (22 + `EXTRA_BITS) :
FPWID==24 ? (15 + `EXTRA_BITS) : (9 + `EXTRA_BITS);
localparam FX = (FMSB+2)*2; // the MSB of the expanded fraction
localparam EX = FX + 1 + EMSB + 1 + 1 - 1;
/verilog2/fpSqrt.v
0,0 → 1,168
// ============================================================================
// __
// \\__/ o\ (C) 2018-2019 Robert Finch, Waterloo
// \ __ / All rights reserved.
// \/_// robfinch<remove>@finitron.ca
// ||
//
// fpSqrt.v
// - floating point square root
// - parameterized width
// - IEEE 754 representation
//
//
// 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/>.
//
// Floating Point Multiplier / Divider
//
// ============================================================================
 
`include "fpConfig.sv"
`include "fp_defines.v"
 
module fpSqrt(rst, clk, ce, ld, a, o, done, sqrinf, sqrneg);
parameter FPWID = 32;
`include "fpSize.sv"
localparam pShiftAmt =
FPWID==80 ? 48 :
FPWID==64 ? 36 :
FPWID==32 ? 7 : (FMSB+1-16);
input rst;
input clk;
input ce;
input ld;
input [MSB:0] a;
output reg [EX:0] o;
output done;
output sqrinf;
output sqrneg;
 
// registered outputs
reg sign_exe;
reg inf;
reg overflow;
reg underflow;
 
wire so;
wire [EMSB:0] xo;
wire [FX:0] mo;
 
// constants
wire [EMSB:0] infXp = {EMSB+1{1'b1}}; // infinite / NaN - all ones
// The following is the value for an exponent of zero, with the offset
// eg. 8'h7f for eight bit exponent, 11'h7ff for eleven bit exponent, etc.
wire [EMSB:0] bias = {1'b0,{EMSB{1'b1}}}; //2^0 exponent
// The following is a template for a quiet nan. (MSB=1)
wire [FMSB:0] qNaN = {1'b1,{FMSB{1'b0}}};
 
// variables
wire [EMSB+2:0] ex1; // sum of exponents
wire [FX:0] sqrto;
 
// Operands
wire sa; // sign bit
wire [EMSB:0] xa; // exponent bits
wire [FMSB+1:0] fracta;
wire a_dn; // a/b is denormalized
wire az;
wire aInf;
wire aNan;
wire done1;
wire [7:0] lzcnt;
wire [MSB:0] aa;
 
// -----------------------------------------------------------
// - decode the input operand
// - derive basic information
// - calculate exponent
// - calculate fraction
// -----------------------------------------------------------
 
fpDecompReg #(FPWID) u1
(
.clk(clk),
.ce(ce),
.i(a),
.o(aa),
.sgn(sa),
.exp(xa),
.fract(fracta),
.xz(a_dn),
.vz(az),
.inf(aInf),
.nan(aNan)
);
 
assign ex1 = xa + 8'd1;
assign so = 1'b0; // square root of positive numbers only
assign xo = (ex1 >> 1) + (bias >> 1); // divide by 2 cuts the bias in half, so 1/2 of it is added back in.
assign mo = aNan ? {1'b1,aa[FMSB:0],{FMSB+1{1'b0}}} : (sqrto << pShiftAmt);
assign sqrinf = aInf;
assign sqrneg = !az & so;
 
wire [FMSB+2:0] fracta1 = ex1[0] ? {1'b0,fracta} << 1 : {2'b0,fracta};
 
wire ldd;
delay1 #(1) u3 (.clk(clk), .ce(ce), .i(ld), .o(ldd));
 
isqrt #(FX+1) u2
(
.rst(rst),
.clk(clk),
.ce(ce),
.ld(ldd),
.a({1'b0,fracta1,{FMSB+1{1'b0}}}),
.o(sqrto),
.done(done)
);
 
always @*
casez({aNan,sqrinf,sqrneg})
3'b1??: o <= {sa,xa,mo};
3'b01?: o <= {sa,1'b1,qNaN|`QSQRTINF,{FMSB+1{1'b0}}};
3'b001: o <= {sa,1'b1,qNaN|`QSQRTNEG,{FMSB+1{1'b0}}};
default: o <= {so,xo,mo};
endcase
 
endmodule
 
module fpSqrtnr(rst, clk, ce, ld, a, o, rm, done, inf, sqrinf, sqrneg);
parameter FPWID=32;
`include "fpSize.sv"
 
input rst;
input clk;
input ce;
input ld;
input [MSB:0] a;
output [MSB:0] o;
input [2:0] rm;
output done;
output inf;
output sqrinf;
output sqrneg;
 
wire [EX:0] o1;
wire inf1;
wire [MSB+3:0] fpn0;
wire done1;
 
fpSqrt #(FPWID) u1 (rst, clk, ce, ld, a, o1, done1, sqrinf, sqrneg);
fpNormalize #(FPWID) u2(.clk(clk), .ce(ce), .under_i(1'b0), .i(o1), .o(fpn0) );
fpRound #(FPWID) u3(.clk(clk), .ce(ce), .rm(rm), .i(fpn0), .o(o) );
delay2 #(1) u5(.clk(clk), .ce(ce), .i(inf1), .o(inf));
delay2 #(1) u8(.clk(clk), .ce(ce), .i(done1), .o(done));
endmodule
 
/verilog2/fpTrunc.sv
0,0 → 1,75
// ============================================================================
// __
// \\__/ o\ (C) 2019 Robert Finch, Waterloo
// \ __ / All rights reserved.
// \/_// robfinch<remove>@finitron.ca
// ||
//
// fpTrunc.v
// - convert floating point to integer (chop off fractional bits)
// - single cycle latency floating point unit
// - parameterized FPWIDth
// - IEEE 754 representation
//
//
// 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"
 
module fpTrunc(clk, ce, i, o, overflow);
parameter FPWID = 32;
`include "fpSize.sv"
input clk;
input ce;
input [MSB:0] i;
output reg [MSB:0] o;
output overflow;
 
 
integer n;
wire [MSB:0] maxInt = {MSB{1'b1}}; // maximum unsigned integer value
wire [EMSB:0] zeroXp = {EMSB{1'b1}}; // simple constant - value of exp for zero
 
// Decompose fp value
reg sgn; // sign
reg [EMSB:0] exp;
reg [FMSB:0] man;
reg [FMSB:0] mask;
 
wire [7:0] shamt = FMSB - (exp - zeroXp);
always @*
for (n = 0; n <= FMSB; n = n +1)
mask[n] = (n > shamt);
 
always @*
sgn = i[MSB];
always @*
exp = i[MSB-1:FMSB+1];
always @*
if (exp > zeroXp + FMSB)
man = i[FMSB:0];
else
man = i[FMSB:0] & mask;
 
always @(posedge clk)
if (ce) begin
if (exp < zeroXp)
o <= 1'd0;
else
o <= {sgn,exp,man};
end
 
endmodule
/verilog2/fp_defines.v
0,0 → 1,81
// ============================================================================
// __
// \\__/ o\ (C) 2006-2019 Robert Finch, Waterloo
// \ __ / All rights reserved.
// \/_// robfinch<remove>@finitron.ca
// ||
//
// 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/>.
//
//
// fp_defines.v
// ============================================================================
//
 
`define QINFOS 23'h7FC000 // info
`define QSUBINF 4'd1
`define QINFDIV 4'd2
`define QZEROZERO 4'd3
`define QINFZERO 4'd4
`define QSQRTINF 4'd5
`define QSQRTNEG 4'd6
 
`define QSUBINFS 31'h7FC00001 // - infinity - infinity
`define QINFDIVS 31'h7FC00002 // - infinity / infinity
`define QZEROZEROS 31'h7FC00003 // - zero / zero
`define QINFZEROS 31'h7FC00004 // - infinity X zero
`define QSQRTINF 31'h7FC00005 // - square root of infinity
`define QSQRTNEG 31'h7FC00006 // - square root of negaitve number
 
`define QINFOD 52'hFF80000000000 // info
`define QSUBINFD 63'h7FF0000000000001 // - infinity - infinity
`define QINFDIVD 63'h7FF0000000000002 // - infinity / infinity
`define QZEROZEROD 63'h7FF0000000000003 // - zero / zero
`define QINFZEROD 63'h7FF0000000000004 // - infinity X zero
`define QSQRTINFD 63'h7FF0000000000005 // - square root of infinity
`define QSQRTNEGD 63'h7FF0000000000006 // - square root of negaitve number
 
`define QINFODX 64'hFF800000_00000000 // info
`define QSUBINFDX 79'h7FFF000000_0000000001 // - infinity - infinity
`define QINFDIVDX 79'h7FFF000000_0000000002 // - infinity / infinity
`define QZEROZERODX 79'h7FFF000000_0000000003 // - zero / zero
`define QINFZERODX 79'h7FFF000000_0000000004 // - infinity X zero
`define QSQRTINFDX 79'h7FFF000000_0000000005 // - square root of infinity
`define QSQRTNEGDX 79'h7FFF000000_0000000006 // - square root of negaitve number
 
`define QINFOQ 112'hFF800000_0000000000_0000000000 // info
`define QSUBINFQ 127'h7F_FF00000000_0000000000_0000000001 // - infinity - infinity
`define QINFDIVQ 127'h7F_FF00000000_0000000000_0000000002 // - infinity / infinity
`define QZEROZEROQ 127'h7F_FF00000000_0000000000_0000000003 // - zero / zero
`define QINFZEROQ 127'h7F_FF00000000_0000000000_0000000004 // - infinity X zero
`define QSQRTINFQ 127'h7F_FF00000000_0000000000_0000000005 // - square root of infinity
`define QSQRTNEGQ 127'h7F_FF00000000_0000000000_0000000006 // - square root of negaitve number
 
`define POINT5S 32'h3F000000
`define POINT5SX 40'h3F80000000
`define POINT5D 64'h3FE0000000000000
`define POINT5DX 80'h3FFE0000000000000000
`define ZEROS 32'h00000000
`define ZEROSX 40'h0000000000
`define ZEROD 64'h0000000000000000
`define ZERODX 80'h00000000000000000000
 
`define AIN 3'd0
`define BIN 3'd1
`define CIN 3'd2
`define RES 3'd3
`define POINT5 3'd4
`define ZERO 3'd5
 
 
/verilog2/fpdivr16.v
0,0 → 1,124
// ============================================================================
// __
// \\__/ o\ (C) 2006-2019 Robert Finch, Waterloo
// \ __ / All rights reserved.
// \/_// robfinch<remove>@finitron.ca
// ||
//
// fpdivr16.v
// Radix 16 floating point divider primitive
//
//
// 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/>.
//
// ============================================================================
 
module fpdivr16(clk, ld, a, b, q, r, done, lzcnt);
parameter FPWID1 = 112;
localparam REM = FPWID1 % 4;
localparam FPWID = ((FPWID1*4)+3)/4;
localparam DMSB = FPWID-1;
input clk;
input ld;
input [FPWID-1:0] a;
input [FPWID-1:0] b;
output reg [FPWID*2-1:0] q = 1'd0;
output reg [FPWID-1:0] r = 1'd0;
output reg done = 1'd0;
output reg [7:0] lzcnt = 1'd0;
 
initial begin
if (FPWID % 4) begin
$display("fpdvir16: FPWIDth must be a multiple of four.");
$finish;
end
end
 
wire [7:0] maxcnt;
reg [DMSB:0] rxx = 1'd0;
reg [8:0] cnt = 1'd0; // iteration count
// Simulation didn't like all the wiring.
reg [DMSB+1:0] ri = 1'd0;
reg b0 = 1'd0,b1 = 1'd0,b2 = 1'd0,b3 = 1'd0;
reg [DMSB+1:0] r1 = 1'd0,r2 = 1'd0,r3 = 1'd0,r4 = 1'd0;
reg gotnz = 0;
 
assign maxcnt = FPWID*2/4-1;
always @*
b0 = b <= {rxx,q[FPWID*2-1]};
always @*
r1 = b0 ? {rxx,q[FPWID*2-1]} - b : {rxx,q[FPWID*2-1]};
always @*
b1 = b <= {r1,q[FPWID*2-2]};
always @*
r2 = b1 ? {r1,q[FPWID*2-2]} - b : {r1,q[FPWID*2-2]};
always @*
b2 = b <= {r2,q[FPWID*2-3]};
always @*
r3 = b2 ? {r2,q[FPWID*2-3]} - b : {r2,q[FPWID*2-3]};
always @*
b3 = b <= {r3,q[FPWID*2-4]};
always @*
r4 = b3 ? {r3,q[FPWID*2-4]} - b : {r3,q[FPWID*2-4]};
 
reg [2:0] state = 0;
 
always @(posedge clk)
begin
done <= 1'b0;
case(state)
3'd0:
if (ld) begin
lzcnt <= 0;
gotnz <= 0;
cnt <= maxcnt;
q <= {(a << REM),{FPWID{1'b0}}};
rxx <= {FPWID{1'b0}};
state <= 1;
end
3'd1:
if (!cnt[8]) begin
q[FPWID*2-1:4] <= q[FPWID*2-5:0];
q[3] <= b0;
q[2] <= b1;
q[1] <= b2;
q[0] <= b3;
if (!gotnz)
casez({b0,b1,b2,b3})
4'b1???: ;
4'b01??: lzcnt <= lzcnt + 8'd1;
4'b001?: lzcnt <= lzcnt + 8'd2;
4'b0001: lzcnt <= lzcnt + 8'd3;
4'b0000: lzcnt <= lzcnt + 8'd4;
endcase
if ({b0,b1,b2,b3} != 4'h0 && !gotnz) begin
gotnz <= 3'd1;
end
rxx <= r4;
cnt <= cnt - 3'd1;
end
else
state <= 3'd2;
3'd2:
begin
r <= r4;
done <= 1'b1;
state <= 1'd0;
end
default: state <= 1'd0;
endcase
end
 
endmodule
 
/verilog2/fs2d.v
0,0 → 1,81
// ============================================================================
// __
// \\__/ o\ (C) 2006-2019 Robert Finch, Waterloo
// \ __ / All rights reserved.
// \/_// robfinch<remove>@finitron.ca
// ||
//
// fs2d.v
// - convert floating point single to double
//
//
// 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/>.
//
// ============================================================================
 
module fs2d(a, o);
input [39:0] a;
output [79:0] o;
 
reg signo;
reg [14:0] expo;
reg [63:0] mano;
 
assign o = {signo,expo,mano};
 
wire signi;
wire [9:0] expi;
wire [28:0] mani;
wire xinf; // exponent infinite
wire vz; // value zero
wire xz; // exponent zero
 
fpDecomp #(40) u1 (.i(a), .sgn(signi), .exp(expi), .man(mani), .xinf(xinf), .xz(xz), .vz(vz) );
wire [5:0] lz;
cntlz32 u2 ({mani,3'b111}, lz); // '1' bit already unhidden due to denormalized number
 
always @*
begin
// sign out always just = sign in
signo = signi;
 
// special check for zero
if (vz) begin
expo <= 0;
mano <= 0;
end
// convert infinity / nan
// infinity in = infinity out
else if (xinf) begin
expo <= 15'h7fff;
mano <= {mani,35'b0};
end
// convert denormal
// a denormal was really a number with an exponent of -126
// this value is easily represented in the double format
// it may be possible to normalize the value if it isn't
// zero
else if (xz) begin
expo <= 15'd31745 - lz; // 32767 "zero" -1022 - lz
mano <= {mani << (lz + 1), 35'd0}; // shift one more to hide leading '1'
end
// convert typical number
// adjust exponent, copy mantissa
else begin
expo <= expi + 15'd31744; // 32767-1023 1023-127
mano <= {mani,35'd0};
end
end
 
endmodule
/verilog2/i2f.v
0,0 → 1,130
// ============================================================================
// __
// \\__/ o\ (C) 2006-2019 Robert Finch, Waterloo
// \ __ / All rights reserved.
// \/_// robfinch<remove>@finitron.ca
// ||
//
// i2f.v
// - convert integer to floating point
// - parameterized FPWIDth
// - IEEE 754 representation
// - pipelineable
// - single cycle latency
//
// 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/>.
//
// ============================================================================
 
module i2f
#( parameter FPWID = 32)
(
input clk,
input ce,
input [2:0] rm, // rounding mode
input [FPWID-1:0] i, // integer input
output [FPWID-1:0] o // float output
);
`include "fpSize.sv"
 
wire [EMSB:0] zeroXp = {EMSB{1'b1}};
 
wire iz; // zero input ?
wire [MSB:0] imag; // get magnitude of i
wire [MSB:0] imag1 = i[MSB] ? -i : i;
wire [7:0] lz; // count the leading zeros in the number
wire [EMSB:0] wd; // compute number of whole digits
wire so; // copy the sign of the input (easy)
wire [2:0] rmd;
 
delay1 #(3) u0 (.clk(clk), .ce(ce), .i(rm), .o(rmd) );
delay1 #(1) u1 (.clk(clk), .ce(ce), .i(i==0), .o(iz) );
delay1 #(FPWID) u2 (.clk(clk), .ce(ce), .i(imag1), .o(imag) );
delay1 #(1) u3 (.clk(clk), .ce(ce), .i(i[MSB]), .o(so) );
generate
if (FPWID==128) begin
cntlz128Reg u4 (.clk(clk), .ce(ce), .i(imag1), .o(lz) );
end else if (FPWID==96) begin
cntlz96Reg u4 (.clk(clk), .ce(ce), .i(imag1), .o(lz[6:0]) );
assign lz[7]=1'b0;
end else if (FPWID==84) begin
cntlz96Reg u4 (.clk(clk), .ce(ce), .i({imag1,12'hfff}), .o(lz[6:0]) );
assign lz[7]=1'b0;
end else if (FPWID==80) begin
cntlz80Reg u4 (.clk(clk), .ce(ce), .i(imag1), .o(lz[6:0]) );
assign lz[7]=1'b0;
end else if (FPWID==64) begin
cntlz64Reg u4 (.clk(clk), .ce(ce), .i(imag1), .o(lz[6:0]) );
assign lz[7]=1'b0;
end else begin
cntlz32Reg u4 (.clk(clk), .ce(ce), .i(imag1), .o(lz[5:0]) );
assign lz[7:6]=2'b00;
end
endgenerate
 
assign wd = zeroXp - 1 + FPWID - lz; // constant except for lz
 
wire [EMSB:0] xo = iz ? 0 : wd;
wire [MSB:0] simag = imag << lz; // left align number
 
wire g = simag[EMSB+2]; // guard bit (lsb)
wire r = simag[EMSB+1]; // rounding bit
wire s = |simag[EMSB:0]; // "sticky" bit
reg rnd;
 
// Compute the round bit
always @(rmd,g,r,s,so)
case (rmd)
3'd0: rnd = (g & r) | (r & s); // round to nearest even
3'd1: rnd = 0; // round to zero (truncate)
3'd2: rnd = (r | s) & !so; // round towards +infinity
3'd3: rnd = (r | s) & so; // round towards -infinity
3'd4: rnd = (r | s);
endcase
 
// "hide" the leading one bit = MSB-1
// round the result
wire [FMSB:0] mo = simag[MSB-1:EMSB+1]+rnd;
 
assign o = {so,xo,mo};
 
endmodule
 
 
module i2f_tb();
 
reg clk;
reg [7:0] cnt;
wire [31:0] fo;
reg [31:0] i;
wire [79:0] fo80;
initial begin
clk = 1'b0;
cnt = 0;
end
always #10 clk=!clk;
 
always @(posedge clk)
cnt = cnt + 1;
 
always @(cnt)
case(cnt)
8'd0: i <= 32'd0;
8'd1: i <= 32'd16777226;
endcase
 
i2f #(32) u1 (.clk(clk), .ce(1), .rm(2'd0), .i(i), .o(fo) );
i2f #(80) u2 (.clk(clk), .ce(1), .rm(2'd0), .i({{48{i[31]}},i}), .o(fo80) );
 
endmodule
/verilog2/isqrt.v
0,0 → 1,151
// ============================================================================
// __
// \\__/ o\ (C) 2010-2019 Robert Finch, Waterloo
// \ __ / All rights reserved.
// \/_// robfinch<remove>@finitron.ca
// ||
//
// isqrt.v
// - integer square root
// - uses the standard long form calc.
// - geared towards use in an floating point unit
// - calculates to FPWID fractional precision (double FPWIDth output)
//
//
// 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/>.
//
// ============================================================================
 
module isqrt(rst, clk, ce, ld, a, o, done);
parameter FPWID = 32;
localparam MSB = FPWID-1;
parameter IDLE=3'd0;
parameter CALC=3'd1;
parameter DONE=3'd2;
input rst;
input clk;
input ce;
input ld;
input [MSB:0] a;
output [FPWID*2-1:0] o;
output done;
 
reg [2:0] state;
reg [FPWID*2:0] root;
wire [FPWID*2-1:0] testDiv;
reg [FPWID*2-1:0] remLo;
reg [FPWID*2-1:0] remHi;
 
wire cnt_done;
assign testDiv = {root[FPWID*2-2:0],1'b1};
wire [FPWID*2-1:0] remHiShift = {remHi[FPWID*2-3:0],remLo[FPWID*2-1:FPWID*2-2]};
wire doesGoInto = remHiShift >= testDiv;
assign o = root[FPWID*2:1];
 
// Iteration counter
reg [7:0] cnt;
 
always @(posedge clk)
if (rst) begin
cnt <= FPWID*2;
remLo <= {FPWID*2{1'b0}};
remHi <= {FPWID*2{1'b0}};
root <= {FPWID*2+1{1'b0}};
state <= IDLE;
end
else if (ce) begin
if (!cnt_done)
cnt <= cnt + 8'd1;
case(state)
IDLE:
if (ld) begin
cnt <= 8'd0;
state <= CALC;
remLo <= {a,32'h0};
remHi <= {FPWID*2{1'b0}};
root <= {FPWID*2+1{1'b0}};
end
CALC:
if (!cnt_done) begin
// Shift the remainder low
remLo <= {remLo[FPWID*2-3:0],2'd0};
// Shift the remainder high
remHi <= doesGoInto ? remHiShift - testDiv: remHiShift;
// Shift the root
root <= {root+doesGoInto,1'b0}; // root * 2 + 1/0
end
else begin
cnt <= 8'h00;
state <= DONE;
end
DONE:
begin
cnt <= cnt + 8'd1;
if (cnt == 8'd6)
state <= IDLE;
end
endcase
end
assign cnt_done = (cnt==FPWID);
assign done = state==DONE;
 
endmodule
 
 
module isqrt_tb();
 
reg clk;
reg rst;
reg [31:0] a;
wire [63:0] o;
reg ld;
wire done;
reg [7:0] state;
 
initial begin
clk = 1;
rst = 0;
#100 rst = 1;
#100 rst = 0;
end
 
always #10 clk = ~clk; // 50 MHz
 
always @(posedge clk)
if (rst) begin
state <= 8'd0;
a <= 32'h912345;
end
else
begin
ld <= 1'b0;
case(state)
8'd0:
begin
a <= 32'h9123456;
ld <= 1'b1;
state <= 8'd1;
end
8'd1:
if (done) begin
$display("i=%h o=%h", a, o);
end
endcase
end
 
isqrt #(32) u1 (.rst(rst), .clk(clk), .ce(1'b1), .ld(ld), .a(a), .o(o), .done(done));
 
endmodule
 
 

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