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