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`timescale 1ns / 1ns
module mag_square(
input clk,
// IQ pair defined to start when iq is high, last exactly two cycles
input iq,
input signed [17:0] d_in,
output signed [18:0] mag2_out
);
// Full scale input on both I and Q gives full-scale positive output.
// Saturation step only kicks in when I and Q are full-scale negative.
`define SAT(x,old,new) ((~|x[old:new] | &x[old:new]) ? x[new:0] : {x[old],{new{~x[old]}}})
reg signed [35:0] sqr1=0;
wire signed [18:0] sqr1s=sqr1[35:17];
reg signed [18:0] sqr2=0, sqr3=0;
reg signed [19:0] mag1=0;
reg signed [18:0] mag2=0;
always @(posedge clk) begin
sqr1 <= d_in*d_in;
sqr2 <= sqr1s;
sqr3 <= sqr2;
if (~iq) mag1 <= sqr2+sqr3+1;
mag2 <= `SAT(mag1,19,18);
end
`undef SAT
// mag2 must be positive!
assign mag2_out = mag2;
endmodule