| 1 | // Testbench for the gcd circuit. |
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| 2 | module testGcd(clock,x,y,s); |
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| 3 | parameter N = 8; |
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| 4 | parameter logN = 3; |
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| 5 | input clock; |
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| 6 | input [N-1:0] x,y; |
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| 7 | input s; |
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| 8 | reg [N-1:0] a,b; |
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| 9 | reg start; |
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| 10 | wire busy; |
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| 11 | wire [N-1:0] o; |
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| 12 | |
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| 13 | // Unit under test. |
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| 14 | gcd #(N,logN) g(clock,start,a,b,busy,o); |
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| 15 | |
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| 16 | initial begin |
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| 17 | a = 0; |
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| 18 | b = 0; |
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| 19 | start = 0; |
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| 20 | end |
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| 21 | |
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| 22 | always @ (posedge clock) begin |
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| 23 | a = x; |
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| 24 | b = y; |
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| 25 | start = s; |
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| 26 | end // always @ (posedge clock) |
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| 27 | |
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| 28 | endmodule // testGcd |
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| 29 | |
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| 30 | // GCD circuit for unsigned N-bit numbers |
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| 31 | // a[0], b[0], and o[0] are the least significant bits |
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| 32 | // |
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| 33 | // Author: Fabio Somenzi <Fabio@Colorado.EDU> |
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| 34 | module gcd(clock,start,a,b,busy,o); |
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| 35 | parameter N = 8; |
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| 36 | parameter logN = 3; |
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| 37 | input clock; |
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| 38 | input start; |
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| 39 | input [N-1:0] a; |
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| 40 | input [N-1:0] b; |
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| 41 | output busy; |
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| 42 | output [N-1:0] o; |
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| 43 | |
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| 44 | reg [logN-1:0] lsb; |
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| 45 | reg [N-1:0] x; |
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| 46 | reg [N-1:0] y; |
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| 47 | wire done; |
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| 48 | wire load; |
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| 49 | reg busy; |
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| 50 | reg [N-1:0] o; |
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| 51 | reg [logN:0] cpt; |
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| 52 | wire [1:0] xy_lsb; |
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| 53 | wire [N-1:0] diff; |
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| 54 | |
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| 55 | function select; |
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| 56 | input [N-1:0] z; |
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| 57 | input [logN-1:0] lsb; |
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| 58 | begin: _select |
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| 59 | if (lsb == 3'd0) |
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| 60 | select = z[0]; |
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| 61 | else if (lsb == 3'd1) |
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| 62 | select = z[1]; |
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| 63 | else if (lsb == 3'd2) |
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| 64 | select = z[2]; |
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| 65 | else if (lsb == 3'd3) |
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| 66 | select = z[3]; |
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| 67 | else if (lsb == 3'd4) |
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| 68 | select = z[4]; |
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| 69 | else if (lsb == 3'd5) |
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| 70 | select = z[5]; |
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| 71 | else if (lsb == 3'd6) |
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| 72 | select = z[6]; |
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| 73 | else |
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| 74 | select = z[7]; |
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| 75 | end // block: _select |
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| 76 | endfunction // select |
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| 77 | |
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| 78 | assign xy_lsb[1] = select(x,lsb); |
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| 79 | assign xy_lsb[0] = select(y,lsb); |
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| 80 | assign diff = x < y ? y - x : x - y; |
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| 81 | assign done = ((x == y) | (x == 0) | (y == 0) | (cpt > 13)) & busy; |
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| 82 | assign load = start & ~busy; |
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| 83 | |
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| 84 | initial begin |
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| 85 | busy = 0; |
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| 86 | x = 0; |
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| 87 | y = 0; |
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| 88 | o = 0; |
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| 89 | lsb = 0; |
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| 90 | cpt=0; |
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| 91 | end // initial begin |
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| 92 | |
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| 93 | // Data path. |
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| 94 | always @(posedge clock) begin |
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| 95 | if (load) begin |
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| 96 | x = a; |
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| 97 | y = b; |
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| 98 | lsb = 0; |
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| 99 | cpt=0; |
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| 100 | end // if (load) |
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| 101 | else if (busy & ~done) begin |
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| 102 | cpt = cpt+1 ; |
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| 103 | case (xy_lsb) |
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| 104 | 2'b00: |
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| 105 | if (lsb<7) begin |
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| 106 | lsb = lsb + 1; |
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| 107 | end |
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| 108 | 2'b01: |
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| 109 | begin |
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| 110 | x[N-2:0] = x[N-1:1]; |
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| 111 | x[N-1] = 0; |
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| 112 | end |
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| 113 | 2'b10: |
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| 114 | begin |
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| 115 | y[N-2:0] = y[N-1:1]; |
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| 116 | y[N-1] = 0; |
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| 117 | end |
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| 118 | 2'b11: begin |
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| 119 | if (x < y) begin |
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| 120 | y[N-2:0] = diff[N-1:1]; |
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| 121 | y[N-1] = 0; |
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| 122 | end // if (x < y) |
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| 123 | else begin |
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| 124 | x[N-2:0] = diff[N-1:1]; |
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| 125 | x[N-1] = 0; |
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| 126 | end // else: !if(x < y) |
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| 127 | end // case: 2b'11 |
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| 128 | endcase // case (xy_lsb) |
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| 129 | end // if (~done) |
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| 130 | else if (done) begin |
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| 131 | o = (x < y) ? x : y; |
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| 132 | end // else: !if(~done) |
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| 133 | end // always @ (posedge clock) |
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| 134 | |
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| 135 | |
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| 136 | |
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| 137 | // Controller. |
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| 138 | always @(posedge clock) begin |
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| 139 | if (~busy) begin |
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| 140 | if (start) begin |
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| 141 | busy = 1; |
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| 142 | end // if (start) |
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| 143 | end // if (~busy) |
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| 144 | else begin |
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| 145 | if (done) begin |
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| 146 | busy = 0; |
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| 147 | end |
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| 148 | end // else: !if(~busy) |
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| 149 | end // always @ (posedge clock) |
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| 150 | |
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| 151 | endmodule // gcd |
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