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robfinch |
// ============================================================================
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// __
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// \\__/ o\ (C) 2006-2016 Robert Finch, Stratford
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// \ __ / All rights reserved.
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// \/_// robfinch<remove>@finitron.ca
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// ||
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//
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// This source file is free software: you can redistribute it and/or modify
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// it under the terms of the GNU Lesser General Public License as published
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// by the Free Software Foundation, either version 3 of the License, or
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// (at your option) any later version.
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//
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// This source file is distributed in the hope that it will be useful,
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// but WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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// GNU General Public License for more details.
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//
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// You should have received a copy of the GNU General Public License
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// along with this program. If not, see <http://www.gnu.org/licenses/>.
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//
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// IntToFloat
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// - Integer to floating point conversion
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// - Can convert a number on every clock cycle, with a latency of one cycle.
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// - parameterized width
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// - IEEE 754 representation
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//
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// The WID parameter should be either 32 or 64
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// ============================================================================
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//
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module IntToFloat(clk, ce, rm, i, o);
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parameter WID = 32;
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input clk;
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input ce;
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input [2:0] rm; // rounding mode
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input [WID-1:0] i; // integer input
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output [WID-1:0] o; // float output
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localparam MSB = WID-1;
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localparam EMSB = WID==64 ? 10 : 7;
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localparam FMSB = WID==64 ? 51 : 22;
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wire [EMSB:0] zeroXp = {EMSB{1'b1}};
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wire iz; // zero input ?
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wire [MSB:0] imag; // get magnitude of i
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wire [MSB:0] imag1 = i[MSB] ? -i : i;
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wire [6:0] lz; // count the leading zeros in the number
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wire [EMSB:0] wd; // compute number of whole digits
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wire so; // copy the sign of the input (easy)
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wire [1:0] rmd;
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delay1 #(2) u0 (.clk(clk), .ce(ce), .i(rm), .o(rmd) );
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delay1 #(1) u1 (.clk(clk), .ce(ce), .i(i==0), .o(iz) );
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delay1 #(WID) u2 (.clk(clk), .ce(ce), .i(imag1), .o(imag) );
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delay1 #(1) u3 (.clk(clk), .ce(ce), .i(i[MSB]), .o(so) );
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generate
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if (WID==64) begin
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cntlz64Reg u4 (.clk(clk), .ce(ce), .i(imag1), .o(lz) );
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end else begin
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cntlz32Reg u4 (.clk(clk), .ce(ce), .i(imag1), .o(lz) );
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assign lz[6]=1'b0;
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end
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endgenerate
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assign wd = zeroXp - 1 + WID - lz; // constant except for lz
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wire [EMSB:0] xo = iz ? 0 : wd;
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wire [MSB:0] simag = imag << lz; // left align number
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wire g = simag[EMSB+2]; // guard bit (lsb)
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wire r = simag[EMSB+1]; // rounding bit
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wire s = |simag[EMSB:0]; // "sticky" bit
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reg rnd;
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// Compute the round bit
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always @(rmd,g,r,s,so)
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case (rmd)
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3'd0: rnd = (g & r) | (r & s); // round to nearest even
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3'd1: rnd = 0; // round to zero (truncate)
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3'd2: rnd = (r | s) & !so; // round towards +infinity
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3'd3: rnd = (r | s) & so; // round towards -infinity
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// The following reserved for additional round mode
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default: rnd = 0; // round to zero (truncate)
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endcase
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// "hide" the leading one bit = MSB-1
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// round the result
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wire [FMSB:0] mo = simag[MSB-1:EMSB+1]+rnd;
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assign o = {so,xo,mo};
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endmodule
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module IntToFloat_tb();
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reg clk;
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reg [7:0] cnt;
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wire [31:0] fo1,fo2,fo3,fo4,fo5,fo6;
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initial begin
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clk = 1'b0;
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cnt = 0;
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end
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always #10 clk=!clk;
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always @(posedge clk)
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cnt = cnt + 1;
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// Some test cases
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IntToFloat #(32) u1 (.clk(clk), .ce(1), .rm(2'd0), .i(0), .o(fo1) ); // zero should return zero (INT min)
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IntToFloat #(32) u2 (.clk(clk), .ce(1), .rm(2'd0), .i(1), .o(fo2) );
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IntToFloat #(32) u3 (.clk(clk), .ce(1), .rm(2'd0), .i(-1), .o(fo3) ); // ensure negative flows through
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IntToFloat #(32) u4 (.clk(clk), .ce(1), .rm(2'd0), .i(16777226), .o(fo4) );
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IntToFloat #(32) u5 (.clk(clk), .ce(1), .rm(2'd0), .i(32'h7FFFFFFF), .o(fo5) ); // INT max
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IntToFloat #(32) u6 (.clk(clk), .ce(1), .rm(2'd0), .i(32'h80000000), .o(fo6) ); // INT max negative
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endmodule
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