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// ============================================================================
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// __
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// \\__/ o\ (C) 2022 Robert Finch, Waterloo
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// \ __ / All rights reserved.
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// \/_// robfinch@finitron.ca
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// ||
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//
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// i2df128.sv
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// - convert integer to decimal floating point
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//
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// BSD 3-Clause License
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// Redistribution and use in source and binary forms, with or without
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// modification, are permitted provided that the following conditions are met:
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//
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// 1. Redistributions of source code must retain the above copyright notice, this
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// list of conditions and the following disclaimer.
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//
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// 2. Redistributions in binary form must reproduce the above copyright notice,
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// this list of conditions and the following disclaimer in the documentation
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// and/or other materials provided with the distribution.
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//
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// 3. Neither the name of the copyright holder nor the names of its
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// contributors may be used to endorse or promote products derived from
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// this software without specific prior written permission.
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//
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// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
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// AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
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// DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
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// FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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// DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
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// SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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// CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
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// OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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//
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// ============================================================================
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import DFPPkg::*;
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module i2df96 (rst, clk, ce, ld, op, rm, i, o, done);
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parameter FPWID=96;
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input rst;
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input clk;
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input ce;
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input ld;
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input op; // 1 = signed, 0 = unsigned
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input [2:0] rm; // rounding mode
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input [95:0] i; // integer input
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output [95:0] o; // float output
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output done;
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wire [95:0] i1 = (op & i[95]) ? -i : i;
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wire [127:0] bcd;
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wire done1, done2;
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assign done = done1 & done2;
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DDBinToBCD #(.WID(96)) ub2b1
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(
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.rst(rst),
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.clk(clk),
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.ld(ld),
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.bin(i1),
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.bcd(bcd),
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.done(done1)
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);
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DFP96U ui;
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wire [11:0] zeroXp = 12'h5FF;
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reg iz; // zero input ?
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wire [7:0] lz; // count the leading zeros in the number
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reg [7:0] lz4; // leading zero rounded to multiple of four
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wire [13:0] wd; // compute number of whole digits
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reg so; // copy the sign of the input (easy)
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reg [2:0] rmd;
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wire [127:0] bcd1;
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reg [99:0] simag;
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always_ff @(posedge clk)
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rmd <= rm;
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always_ff @(posedge clk)
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iz <= i==0;
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always_ff @(posedge clk)
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so <= i[95];
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delay1 #(128) u2 (.clk(clk), .ce(ce), .i(bcd), .o(bcd1) );
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cntlz128Reg u4 (.clk(clk), .ce(ce), .i(bcd), .o(lz) );
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always_comb
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lz4 = lz >> 2'd2;
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assign wd = zeroXp - 8'd1 + 8'd25 - lz4 + 8'd7; // constant except for lz
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reg [11:0] xo;
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always_ff @(posedge clk)
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xo <= iz ? 'd0 : wd;
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// left align number
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// The number may to too large to represent entirely precisely in which case a
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// right shift is required. There are only about 114 bits of precision, but the
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// incoming number is allowed to be 128-bit.
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// Rounding is required only when the number needs to be right-shifted.
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always_ff @(posedge clk)
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if (lz4 < 8'd7)
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simag = bcd1 >> {8'd7 - lz4,2'd0};
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else
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simag = bcd1 << {lz4 - 8'd7,2'd0};
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wire g = bcd1[{8'd7 - lz4,2'd0}]; // guard bit (lsb)
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wire r = bcd1[{8'd7 - lz4,2'd0}-1]; // rounding bit
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wire s = |(bcd1 & (128'd1 << {8'd7 - lz4,2'd0}-2) - 2'd1); // "sticky" bit
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reg rnd;
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// Compute the round bit
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always_ff @(posedge clk)
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if (lz4 < 8'd7)
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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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3'd4: rnd = (r | s);
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default: rnd = (g & r) | (r & s); // round to nearest even
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endcase
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else
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rnd = 1'b0;
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// round the result
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assign ui.sig = simag[99:0] + rnd;
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assign ui.exp = xo[11:0];
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assign ui.sign = op & so;
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assign ui.nan = 1'b0;
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assign ui.qnan = 1'b0;
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assign ui.snan = 1'b0;
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assign ui.infinity = 1'b0;
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DFPPack96 upk1 (ui, o);
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ft_delay #(.WID(1), .DEP(4)) udly1 (.clk(clk), .ce(1'b1), .i(done1), .o(done2));
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endmodule
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