cvw/pipelined/src/fpu/fmalza.sv

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2022-08-01 18:07:38 +00:00
///////////////////////////////////////////
//
// Written: 6/23/2021 me@KatherineParry.com, David_Harris@hmc.edu
// Modified:
//
// Purpose: Leading Zero Anticipator
//
// A component of the Wally configurable RISC-V project.
//
// Copyright (C) 2021 Harvey Mudd College & Oklahoma State University
//
// MIT LICENSE
// Permission is hereby granted, free of charge, to any person obtaining a copy of this
// software and associated documentation files (the "Software"), to deal in the Software
// without restriction, including without limitation the rights to use, copy, modify, merge,
// publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons
// to whom the Software is furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included in all copies or
// substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED,
// INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR
// PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS
// BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
// TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE
// OR OTHER DEALINGS IN THE SOFTWARE.
////////////////////////////////////////////////////////////////////////////////////////////////
`include "wally-config.vh"
module fmalza( // [Schmookler & Nowka, Leading zero anticipation and detection, IEEE Sym. Computer Arithmetic, 2001]
input logic [3*`NF+6:0] A, // addend
input logic [2*`NF+3:0] P, // product
output logic [$clog2(3*`NF+7)-1:0] SCnt // normalization shift count for the positive result
);
logic [3*`NF+6:0] T;
logic [3*`NF+6:0] G;
logic [3*`NF+6:0] Z;
logic [3*`NF+6:0] f;
assign T[3*`NF+6:2*`NF+4] = A[3*`NF+6:2*`NF+4];
assign G[3*`NF+6:2*`NF+4] = 0;
assign Z[3*`NF+6:2*`NF+4] = ~A[3*`NF+6:2*`NF+4];
assign T[2*`NF+3:0] = A[2*`NF+3:0]^P;
assign G[2*`NF+3:0] = A[2*`NF+3:0]&P;
assign Z[2*`NF+3:0] = ~A[2*`NF+3:0]&~P;
// Apply function to determine Leading pattern
// - note: the paper linked above uses the numbering system where 0 is the most significant bit
//f[n] = ~T[n]&T[n-1] note: n is the MSB
//f[i] = (T[i+1]&(G[i]&~Z[i-1] | Z[i]&~G[i-1])) | (~T[i+1]&(Z[i]&~Z[i-1] | G[i]&~G[i-1]))
assign f[3*`NF+6] = ~T[3*`NF+6]&T[3*`NF+5];
assign f[3*`NF+5:0] = (T[3*`NF+6:1]&(G[3*`NF+5:0]&{~Z[3*`NF+4:0], 1'b0} | Z[3*`NF+5:0]&{~G[3*`NF+4:0], 1'b1})) | (~T[3*`NF+6:1]&(Z[3*`NF+5:0]&{~Z[3*`NF+4:0], 1'b0} | G[3*`NF+5:0]&{~G[3*`NF+4:0], 1'b1}));
lzc #(3*`NF+7) lzc (.num(f), .ZeroCnt(SCnt));
endmodule