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root |
`timescale 1ns/1ns
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/*
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CORDIC testbench
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This testbench assumes the default settings for `defines
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in the cordic.v file. If you change any of the defaults
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you may have to make modifications to this file as well.
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This testbench uses `defines from the cordic.v file
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make sure you have the `include path set correctly for your
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environment.
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*/
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`include "cordic.v"
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module tb ();
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wire [`XY_BITS:0] x_o,y_o;
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wire [`THETA_BITS:0] theta_o;
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reg [`XY_BITS:0] x_i,y_i;
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reg [`THETA_BITS:0] theta_i; // angle in radians
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reg clock,reset;
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reg init;
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cordic UUT (.clk(clock),.rst(reset),
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`ifdef ITERATE
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.init(init),
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`endif
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.x_i(x_i),.y_i(y_i),.theta_i(theta_i),
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.x_o(x_o),.y_o(y_o),.theta_o(theta_o));
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integer i,j,k;
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real a_i,a_o,a_e;
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real rx,ry,rex,rey;
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reg signed [`XY_BITS:0] ex,ey;
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reg signed [16:0] x [90:0];
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reg signed [16:0] y [90:0];
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reg signed [16:0] z [90:0];
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task show_vector_results;
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input integer j;
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input [`THETA_BITS:0] theta;
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begin
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a_i = (j * 3.14) / 180;
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a_o = theta;
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a_o = a_o / 32768;
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if (a_o > a_i) a_e = a_o - a_i; else a_e = a_i - a_o;
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if (a_e > 0.001)
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$display("angle %f computed %f error %f",a_i,a_o,a_o - a_i);
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else
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$display("angle %f computed %f",a_i,a_o);
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end
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endtask
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task show_rotate_results;
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input integer j;
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input [`XY_BITS:0] lx;
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input [`XY_BITS:0] ly;
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begin
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rx = lx;// / 65535;
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ry = ly;// / 65535;
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rx = rx / 32768; //65535;
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ry = ry / 32768; //65535;
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if (lx > x[j]) ex = lx - x[j]; else ex = x[j] - lx;
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if (ly > y[j]) ey = ly - y[j]; else ey = y[j] - ly;
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if (ex > 10 || ey > 10)
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$display("Angle: %d sin = %f cos = %f errors %d %d",j,ry,rx,ey,ex);
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else
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$display("Angle: %d sin = %f cos = %f",j,ry,rx);
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end
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endtask
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task show_results;
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input integer j;
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input [`XY_BITS:0] lx;
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input [`XY_BITS:0] ly;
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input [`THETA_BITS:0] ltheta;
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begin
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`ifdef VECTOR
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show_vector_results(j,ltheta);
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`endif
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`ifdef ROTATE
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show_rotate_results(j,lx,ly);
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`endif
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end
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endtask
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initial begin
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$display("starting simulation");
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`ifdef PIPELINE
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$display("PIPELINE configuration");
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`endif
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`ifdef ITERATE
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$display("ITERATE configuration");
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`endif
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`ifdef COMBINATORIAL
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$display("COMBINATORIAL configuration");
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`endif
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// The following table is computed for U(1,15) format numbers
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// The angle data z[] is in radians
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x[0] <= 17'd32768; y[0] <= 17'd0; z[0] <= 17'd0;
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x[1] <= 17'd32763; y[1] <= 17'd571; z[1] <= 17'd571;
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x[2] <= 17'd32748; y[2] <= 17'd1143; z[2] <= 17'd1143;
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x[3] <= 17'd32723; y[3] <= 17'd1714; z[3] <= 17'd1715;
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x[4] <= 17'd32688; y[4] <= 17'd2285; z[4] <= 17'd2287;
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x[5] <= 17'd32643; y[5] <= 17'd2855; z[5] <= 17'd2859;
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x[6] <= 17'd32588; y[6] <= 17'd3425; z[6] <= 17'd3431;
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x[7] <= 17'd32523; y[7] <= 17'd3993; z[7] <= 17'd4003;
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x[8] <= 17'd32449; y[8] <= 17'd4560; z[8] <= 17'd4575;
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x[9] <= 17'd32364; y[9] <= 17'd5126; z[9] <= 17'd5147;
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x[10] <= 17'd32270; y[10] <= 17'd5690; z[10] <= 17'd5719;
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x[11] <= 17'd32165; y[11] <= 17'd6252; z[11] <= 17'd6291;
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x[12] <= 17'd32051; y[12] <= 17'd6812; z[12] <= 17'd6862;
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x[13] <= 17'd31928; y[13] <= 17'd7371; z[13] <= 17'd7434;
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x[14] <= 17'd31794; y[14] <= 17'd7927; z[14] <= 17'd8006;
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x[15] <= 17'd31651; y[15] <= 17'd8480; z[15] <= 17'd8578;
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x[16] <= 17'd31498; y[16] <= 17'd9032; z[16] <= 17'd9150;
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x[17] <= 17'd31336; y[17] <= 17'd9580; z[17] <= 17'd9722;
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x[18] <= 17'd31164; y[18] <= 17'd10125; z[18] <= 17'd10294;
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x[19] <= 17'd30982; y[19] <= 17'd10668; z[19] <= 17'd10866;
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x[20] <= 17'd30791; y[20] <= 17'd11207; z[20] <= 17'd11438;
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x[21] <= 17'd30591; y[21] <= 17'd11743; z[21] <= 17'd12010;
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x[22] <= 17'd30381; y[22] <= 17'd12275; z[22] <= 17'd12582;
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x[23] <= 17'd30163; y[23] <= 17'd12803; z[23] <= 17'd13153;
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x[24] <= 17'd29935; y[24] <= 17'd13327; z[24] <= 17'd13725;
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x[25] <= 17'd29697; y[25] <= 17'd13848; z[25] <= 17'd14297;
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x[26] <= 17'd29451; y[26] <= 17'd14364; z[26] <= 17'd14869;
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| 128 |
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x[27] <= 17'd29196; y[27] <= 17'd14876; z[27] <= 17'd15441;
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x[28] <= 17'd28932; y[28] <= 17'd15383; z[28] <= 17'd16013;
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x[29] <= 17'd28659; y[29] <= 17'd15886; z[29] <= 17'd16585;
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x[30] <= 17'd28377; y[30] <= 17'd16383; z[30] <= 17'd17157;
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x[31] <= 17'd28087; y[31] <= 17'd16876; z[31] <= 17'd17729;
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x[32] <= 17'd27788; y[32] <= 17'd17364; z[32] <= 17'd18301;
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x[33] <= 17'd27481; y[33] <= 17'd17846; z[33] <= 17'd18873;
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x[34] <= 17'd27165; y[34] <= 17'd18323; z[34] <= 17'd19444;
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x[35] <= 17'd26841; y[35] <= 17'd18794; z[35] <= 17'd20016;
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x[36] <= 17'd26509; y[36] <= 17'd19260; z[36] <= 17'd20588;
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x[37] <= 17'd26169; y[37] <= 17'd19720; z[37] <= 17'd21160;
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x[38] <= 17'd25821; y[38] <= 17'd20173; z[38] <= 17'd21732;
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x[39] <= 17'd25465; y[39] <= 17'd20621; z[39] <= 17'd22304;
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x[40] <= 17'd25101; y[40] <= 17'd21062; z[40] <= 17'd22876;
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x[41] <= 17'd24730; y[41] <= 17'd21497; z[41] <= 17'd23448;
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x[42] <= 17'd24351; y[42] <= 17'd21926; z[42] <= 17'd24020;
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x[43] <= 17'd23964; y[43] <= 17'd22347; z[43] <= 17'd24592;
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x[44] <= 17'd23571; y[44] <= 17'd22762; z[44] <= 17'd25164;
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x[45] <= 17'd23170; y[45] <= 17'd23170; z[45] <= 17'd25735;
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x[46] <= 17'd22762; y[46] <= 17'd23571; z[46] <= 17'd26307;
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x[47] <= 17'd22347; y[47] <= 17'd23964; z[47] <= 17'd26879;
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x[48] <= 17'd21926; y[48] <= 17'd24351; z[48] <= 17'd27451;
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x[49] <= 17'd21497; y[49] <= 17'd24730; z[49] <= 17'd28023;
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x[50] <= 17'd21062; y[50] <= 17'd25101; z[50] <= 17'd28595;
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x[51] <= 17'd20621; y[51] <= 17'd25465; z[51] <= 17'd29167;
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x[52] <= 17'd20173; y[52] <= 17'd25821; z[52] <= 17'd29739;
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x[53] <= 17'd19720; y[53] <= 17'd26169; z[53] <= 17'd30311;
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x[54] <= 17'd19260; y[54] <= 17'd26509; z[54] <= 17'd30883;
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x[55] <= 17'd18794; y[55] <= 17'd26841; z[55] <= 17'd31455;
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x[56] <= 17'd18323; y[56] <= 17'd27165; z[56] <= 17'd32026;
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x[57] <= 17'd17846; y[57] <= 17'd27481; z[57] <= 17'd32598;
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| 159 |
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x[58] <= 17'd17364; y[58] <= 17'd27788; z[58] <= 17'd33170;
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| 160 |
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x[59] <= 17'd16876; y[59] <= 17'd28087; z[59] <= 17'd33742;
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x[60] <= 17'd16384; y[60] <= 17'd28377; z[60] <= 17'd34314;
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x[61] <= 17'd15886; y[61] <= 17'd28659; z[61] <= 17'd34886;
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x[62] <= 17'd15383; y[62] <= 17'd28932; z[62] <= 17'd35458;
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x[63] <= 17'd14876; y[63] <= 17'd29196; z[63] <= 17'd36030;
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x[64] <= 17'd14364; y[64] <= 17'd29451; z[64] <= 17'd36602;
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x[65] <= 17'd13848; y[65] <= 17'd29697; z[65] <= 17'd37174;
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| 167 |
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x[66] <= 17'd13327; y[66] <= 17'd29935; z[66] <= 17'd37746;
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x[67] <= 17'd12803; y[67] <= 17'd30163; z[67] <= 17'd38317;
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x[68] <= 17'd12275; y[68] <= 17'd30381; z[68] <= 17'd38889;
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| 170 |
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x[69] <= 17'd11743; y[69] <= 17'd30591; z[69] <= 17'd39461;
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| 171 |
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x[70] <= 17'd11207; y[70] <= 17'd30791; z[70] <= 17'd40033;
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| 172 |
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x[71] <= 17'd10668; y[71] <= 17'd30982; z[71] <= 17'd40605;
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| 173 |
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x[72] <= 17'd10125; y[72] <= 17'd31164; z[72] <= 17'd41177;
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| 174 |
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x[73] <= 17'd9580; y[73] <= 17'd31336; z[73] <= 17'd41749;
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| 175 |
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x[74] <= 17'd9032; y[74] <= 17'd31498; z[74] <= 17'd42321;
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| 176 |
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x[75] <= 17'd8480; y[75] <= 17'd31651; z[75] <= 17'd42893;
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| 177 |
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x[76] <= 17'd7927; y[76] <= 17'd31794; z[76] <= 17'd43465;
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| 178 |
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x[77] <= 17'd7371; y[77] <= 17'd31928; z[77] <= 17'd44037;
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| 179 |
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x[78] <= 17'd6812; y[78] <= 17'd32051; z[78] <= 17'd44608;
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| 180 |
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x[79] <= 17'd6252; y[79] <= 17'd32165; z[79] <= 17'd45180;
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| 181 |
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x[80] <= 17'd5690; y[80] <= 17'd32270; z[80] <= 17'd45752;
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| 182 |
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x[81] <= 17'd5126; y[81] <= 17'd32364; z[81] <= 17'd46324;
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| 183 |
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x[82] <= 17'd4560; y[82] <= 17'd32449; z[82] <= 17'd46896;
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| 184 |
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x[83] <= 17'd3993; y[83] <= 17'd32523; z[83] <= 17'd47468;
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| 185 |
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x[84] <= 17'd3425; y[84] <= 17'd32588; z[84] <= 17'd48040;
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| 186 |
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x[85] <= 17'd2855; y[85] <= 17'd32643; z[85] <= 17'd48612;
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| 187 |
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x[86] <= 17'd2285; y[86] <= 17'd32688; z[86] <= 17'd49184;
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| 188 |
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x[87] <= 17'd1714; y[87] <= 17'd32723; z[87] <= 17'd49756;
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| 189 |
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x[88] <= 17'd1143; y[88] <= 17'd32748; z[88] <= 17'd50328;
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| 190 |
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x[89] <= 17'd571; y[89] <= 17'd32763; z[89] <= 17'd50899;
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| 191 |
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x[90] <= 17'd0; y[90] <= 17'd32768; z[90] <= 17'd51471;
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| 192 |
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| 193 |
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clock <= 0;
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| 194 |
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init <= 0;
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| 195 |
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reset <= 1;
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| 196 |
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x_i <= 0;
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| 197 |
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y_i <= 0;
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| 198 |
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theta_i <= 0;
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| 199 |
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#1 clock <= 1;
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| 200 |
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#1 clock <= 0;
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| 201 |
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reset <= 0;
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| 202 |
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| 203 |
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for (j=0;j<=90;j = j+1) begin // test 91 different angles, 0 to 90 degrees
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| 204 |
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`ifdef ROTATE // compute sin and cos
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| 205 |
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x_i <= `CORDIC_1;
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| 206 |
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y_i <= 0;
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| 207 |
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theta_i <= z[j];
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| 208 |
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`endif
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| 209 |
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`ifdef VECTOR // compute the arctan
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| 210 |
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x_i <= x[j];
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| 211 |
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y_i <= y[j];
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| 212 |
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theta_i <= 0;
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| 213 |
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`endif
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| 214 |
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| 215 |
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| 216 |
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`ifdef ITERATE
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| 217 |
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init <= 1; // load the value into the rotator
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| 218 |
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#1 clock <= 1;
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| 219 |
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#1 clock <= 0;
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| 220 |
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init <= 0;
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| 221 |
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for(i=0;i<`ITERATIONS;i = i+1) begin // iterate on the value
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| 222 |
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#1 clock <= 1;
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| 223 |
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#1 clock <= 0;
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| 224 |
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end
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| 225 |
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show_results(j,x_o,y_o,theta_o);
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| 226 |
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`endif
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| 227 |
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| 228 |
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| 229 |
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`ifdef COMBINATORIAL
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| 230 |
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#1; // give a little time to view the waveform...
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| 231 |
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show_results(j,x_o,y_o,theta_o);
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| 232 |
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`endif
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| 233 |
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| 234 |
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`ifdef PIPELINE
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| 235 |
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#1 clock <= 1;
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| 236 |
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#1 clock <= 0;
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| 237 |
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if (j >= (`ITERATIONS-2)) begin // wait until the results start popping out
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| 238 |
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show_results((j-(`ITERATIONS-2)),x_o,y_o,theta_o);
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| 239 |
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end
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| 240 |
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if (j == 90) // now flush the pipe
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| 241 |
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for(i=0;i<(`ITERATIONS-2);i = i+1) begin
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| 242 |
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#1 clock <= 1;
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| 243 |
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#1 clock <= 0;
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| 244 |
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show_results((90-`ITERATIONS+3+i),x_o,y_o,theta_o);
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| 245 |
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end
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| 246 |
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`endif
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| 247 |
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| 248 |
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| 249 |
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end
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| 250 |
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for(i=0;i<16;i=i+1) // dump a few extra clock just for grins
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| 251 |
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#1 clock <= ~clock;
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| 252 |
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end
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| 253 |
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| 254 |
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endmodule
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