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alirezamon |
//////////////////////////////////////////////////////////////////////
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// //
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// pfpu32_muldiv //
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// //
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// This file is part of the mor1kx project //
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// https://github.com/openrisc/mor1kx //
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// //
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// Description //
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// combined multiplier/divisor pipeline for //
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// single precision floating point numbers //
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// //
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// Author(s): //
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// Andrey Bacherov, avbacherov@opencores.org //
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// //
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//////////////////////////////////////////////////////////////////////
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// //
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// Copyright (C) 2015 //
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// //
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// This source file may be used and distributed without //
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// restriction provided that this copyright statement is not //
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// removed from the file and that any derivative work contains //
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// the original copyright notice and the associated disclaimer. //
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// //
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// THIS SOFTWARE IS PROVIDED ``AS IS'' AND WITHOUT ANY //
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// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED //
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// TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS //
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// FOR A PARTICULAR PURPOSE. IN NO EVENT SHALL THE AUTHOR //
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// OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, //
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// INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES //
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// (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE //
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// GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR //
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// BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF //
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// LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT //
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// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT //
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// OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE //
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// POSSIBILITY OF SUCH DAMAGE. //
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//////////////////////////////////////////////////////////////////////
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`include "mor1kx-defines.v"
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module pfpu32_muldiv
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(
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input clk,
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input rst,
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input flush_i, // flushe pipe
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input adv_i, // advance pipe
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input start_i, // start
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input is_div_i, // 1: division, 0: multiplication
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// input 'a' related values
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input signa_i,
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input [9:0] exp10a_i,
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input [23:0] fract24a_i,
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input infa_i,
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input zeroa_i,
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// input 'b' related values
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input signb_i,
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input [9:0] exp10b_i,
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input [23:0] fract24b_i,
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input infb_i,
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input zerob_i,
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// 'a'/'b' related
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input snan_i,
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input qnan_i,
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input anan_sign_i,
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// MUL/DIV common outputs
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output reg muldiv_rdy_o, // ready
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output reg muldiv_sign_o, // signum
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output reg [4:0] muldiv_shr_o, // do right shift in align stage
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output reg [9:0] muldiv_exp10shr_o, // exponent for right shift align
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output reg muldiv_shl_o, // do left shift in align stage
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output reg [9:0] muldiv_exp10shl_o, // exponent for left shift align
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output reg [9:0] muldiv_exp10sh0_o, // exponent for no shift in align
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output reg [27:0] muldiv_fract28_o, // fractional with appended {r,s} bits
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output reg muldiv_inv_o, // invalid operation flag
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output reg muldiv_inf_o, // infinity output reg
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output reg muldiv_snan_o, // signaling NaN output reg
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output reg muldiv_qnan_o, // quiet NaN output reg
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output reg muldiv_anan_sign_o, // signum for output nan
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// DIV additional outputs
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output reg div_op_o, // operation is division
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output reg div_sign_rmnd_o, // signum of reminder for IEEE compliant rounding
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output reg div_dbz_o // div division by zero flag
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);
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/*
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Any stage's output is registered.
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Definitions:
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s??o_name - "S"tage number "??", "O"utput
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s??t_name - "S"tage number "??", "T"emporary (internally)
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*/
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/* Stage #1: pre-operation stage */
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// detection of some exceptions
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wire s0t_inv = is_div_i ? ((zeroa_i & zerob_i) | (infa_i & infb_i)) : // div: 0/0, inf/inf -> invalid operation; snan output
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((zeroa_i & infb_i) | (zerob_i & infa_i)); // mul: 0 * inf -> invalid operation; snan output
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// division by zero
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wire s0t_dbz = is_div_i & (~zeroa_i) & (~infa_i) & zerob_i;
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// inf input
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wire s0t_inf_i = infa_i | (infb_i & (~is_div_i)); // for DIV only infA is used
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// force intermediate results to zero
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wire s0t_opc_0 = zeroa_i | zerob_i | (is_div_i & (infa_i | infb_i));
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// count leading zeros
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reg [4:0] s0t_nlza;
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always @(fract24a_i) begin
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casez(fract24a_i) // synopsys full_case parallel_case
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24'b1???????????????????????: s0t_nlza = 0;
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24'b01??????????????????????: s0t_nlza = 1;
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24'b001?????????????????????: s0t_nlza = 2;
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24'b0001????????????????????: s0t_nlza = 3;
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24'b00001???????????????????: s0t_nlza = 4;
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24'b000001??????????????????: s0t_nlza = 5;
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24'b0000001?????????????????: s0t_nlza = 6;
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24'b00000001????????????????: s0t_nlza = 7;
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24'b000000001???????????????: s0t_nlza = 8;
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24'b0000000001??????????????: s0t_nlza = 9;
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24'b00000000001?????????????: s0t_nlza = 10;
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24'b000000000001????????????: s0t_nlza = 11;
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24'b0000000000001???????????: s0t_nlza = 12;
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24'b00000000000001??????????: s0t_nlza = 13;
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24'b000000000000001?????????: s0t_nlza = 14;
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24'b0000000000000001????????: s0t_nlza = 15;
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24'b00000000000000001???????: s0t_nlza = 16;
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24'b000000000000000001??????: s0t_nlza = 17;
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24'b0000000000000000001?????: s0t_nlza = 18;
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24'b00000000000000000001????: s0t_nlza = 19;
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24'b000000000000000000001???: s0t_nlza = 20;
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24'b0000000000000000000001??: s0t_nlza = 21;
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24'b00000000000000000000001?: s0t_nlza = 22;
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24'b000000000000000000000001: s0t_nlza = 23;
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24'b000000000000000000000000: s0t_nlza = 0; // zero rezult
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endcase
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end // nlz for 'a'
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// count leading zeros
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reg [4:0] s0t_nlzb;
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always @(fract24b_i) begin
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casez(fract24b_i) // synopsys full_case parallel_case
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24'b1???????????????????????: s0t_nlzb = 0;
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24'b01??????????????????????: s0t_nlzb = 1;
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24'b001?????????????????????: s0t_nlzb = 2;
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24'b0001????????????????????: s0t_nlzb = 3;
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24'b00001???????????????????: s0t_nlzb = 4;
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24'b000001??????????????????: s0t_nlzb = 5;
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24'b0000001?????????????????: s0t_nlzb = 6;
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24'b00000001????????????????: s0t_nlzb = 7;
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24'b000000001???????????????: s0t_nlzb = 8;
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24'b0000000001??????????????: s0t_nlzb = 9;
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24'b00000000001?????????????: s0t_nlzb = 10;
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24'b000000000001????????????: s0t_nlzb = 11;
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24'b0000000000001???????????: s0t_nlzb = 12;
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24'b00000000000001??????????: s0t_nlzb = 13;
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24'b000000000000001?????????: s0t_nlzb = 14;
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24'b0000000000000001????????: s0t_nlzb = 15;
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24'b00000000000000001???????: s0t_nlzb = 16;
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24'b000000000000000001??????: s0t_nlzb = 17;
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24'b0000000000000000001?????: s0t_nlzb = 18;
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24'b00000000000000000001????: s0t_nlzb = 19;
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24'b000000000000000000001???: s0t_nlzb = 20;
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24'b0000000000000000000001??: s0t_nlzb = 21;
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24'b00000000000000000000001?: s0t_nlzb = 22;
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24'b000000000000000000000001: s0t_nlzb = 23;
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24'b000000000000000000000000: s0t_nlzb = 0; // zero result
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endcase
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end // nlz of 'b'
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// pre-norm stage outputs
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// input related
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reg s0o_inv, s0o_inf_i,
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s0o_snan_i, s0o_qnan_i, s0o_anan_i_sign;
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// computation related
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reg s0o_is_div;
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reg s0o_opc_0;
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reg s0o_signc;
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reg [9:0] s0o_exp10a;
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reg [23:0] s0o_fract24a;
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reg [4:0] s0o_shla;
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reg [9:0] s0o_exp10b;
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reg [23:0] s0o_fract24b;
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reg [4:0] s0o_shlb;
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// DIV additional outputs
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reg s0o_dbz;
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// registering
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always @(posedge clk) begin
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if(adv_i) begin
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// input related
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s0o_inv <= s0t_inv;
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s0o_inf_i <= s0t_inf_i;
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s0o_snan_i <= snan_i;
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s0o_qnan_i <= qnan_i;
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s0o_anan_i_sign <= anan_sign_i;
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// computation related
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s0o_is_div <= is_div_i;
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s0o_opc_0 <= s0t_opc_0;
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s0o_signc <= signa_i ^ signb_i;
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s0o_exp10a <= exp10a_i;
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s0o_fract24a <= fract24a_i;
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s0o_shla <= s0t_nlza;
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s0o_exp10b <= exp10b_i;
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s0o_fract24b <= fract24b_i;
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s0o_shlb <= s0t_nlzb;
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// DIV additional outputs
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s0o_dbz <= s0t_dbz;
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end // push pipe
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end
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// route ready through side back
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reg s0o_ready;
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always @(posedge clk `OR_ASYNC_RST) begin
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if (rst)
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s0o_ready <= 0;
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else if(flush_i)
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s0o_ready <= 0;
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else if(adv_i)
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s0o_ready <= start_i;
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end // posedge clock
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// left-shift the dividend and divisor
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wire [23:0] s1t_fract24a_shl = s0o_fract24a << s0o_shla;
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wire [23:0] s1t_fract24b_shl = s0o_fract24b << s0o_shlb;
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// force result to zero
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wire [23:0] s1t_fract24a = s1t_fract24a_shl & {24{~s0o_opc_0}};
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wire [23:0] s1t_fract24b = s1t_fract24b_shl & {24{~s0o_opc_0}};
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// exponent
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wire [9:0] s1t_exp10mux =
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s0o_is_div ? (s0o_exp10a - {5'd0,s0o_shla} - s0o_exp10b + {5'd0,s0o_shlb} + 10'd127) :
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(s0o_exp10a - {5'd0,s0o_shla} + s0o_exp10b - {5'd0,s0o_shlb} - 10'd127);
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// force result to zero
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wire [9:0] s1t_exp10c = s1t_exp10mux & {10{~s0o_opc_0}};
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// Goldshmidt division iterations control
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reg [10:0] itr_state; // iteration state indicator
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// iteration characteristic points:
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// quotient is computed
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wire itr_rndQ = itr_state[10];
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// iteration in progress
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wire itr_Proc = |itr_state;
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// iteration control state machine
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always @(posedge clk `OR_ASYNC_RST) begin
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if (rst)
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itr_state <= 11'd0;
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else if(flush_i)
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itr_state <= 11'd0;
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else if(adv_i & s0o_ready & s0o_is_div)
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itr_state <= 11'd1;
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else if(adv_i)
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itr_state <= {itr_state[9:0],1'b0};
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end // posedge clock
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// Multiplication operation flag
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wire s1t_is_mul = s0o_ready & (~s0o_is_div);
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// stage #1 outputs
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// input related
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reg s1o_inv, s1o_inf_i,
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s1o_snan_i, s1o_qnan_i, s1o_anan_i_sign;
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// computation related
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reg s1o_opc_0;
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reg s1o_signc;
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reg [9:0] s1o_exp10c;
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reg [23:0] s1o_fract24a;
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reg [23:0] s1o_fract24b;
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// DIV additional outputs
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reg s1o_dbz;
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// registering
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always @(posedge clk) begin
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if(adv_i & ~itr_Proc) begin
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// input related
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s1o_inv <= s0o_inv;
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s1o_inf_i <= s0o_inf_i;
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s1o_snan_i <= s0o_snan_i;
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s1o_qnan_i <= s0o_qnan_i;
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s1o_anan_i_sign <= s0o_anan_i_sign;
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// computation related
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s1o_opc_0 <= s0o_opc_0;
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s1o_signc <= s0o_signc;
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s1o_exp10c <= s1t_exp10c;
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s1o_fract24a <= s1t_fract24a;
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s1o_fract24b <= s1t_fract24b;
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// DIV additional outputs
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s1o_dbz <= s0o_dbz;
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end // advance pipe
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end // posedge clock
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// ready is special case
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reg s1o_mul_ready;
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reg s1o_div_ready;
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always @(posedge clk `OR_ASYNC_RST) begin
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if (rst) begin
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s1o_mul_ready <= 1'b0;
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s1o_div_ready <= 1'b0;
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end else if(flush_i) begin
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s1o_mul_ready <= 1'b0;
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s1o_div_ready <= 1'b0;
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end else if(adv_i) begin
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s1o_mul_ready <= s1t_is_mul;
|
308 |
|
|
s1o_div_ready <= itr_rndQ;
|
309 |
|
|
end
|
310 |
|
|
end // posedge clock
|
311 |
|
|
|
312 |
|
|
|
313 |
|
|
/* Stage #2: 1st part of multiplier */
|
314 |
|
|
|
315 |
|
|
|
316 |
|
|
// rigt shift value
|
317 |
|
|
// and appropriatelly corrected exponent
|
318 |
|
|
wire s1o_exp10c_0 = ~(|s1o_exp10c);
|
319 |
|
|
wire [9:0] s2t_shr_of_neg_exp = 11'h401 - {1'b0,s1o_exp10c}; // 1024-v+1
|
320 |
|
|
// variants:
|
321 |
|
|
wire [9:0] s2t_shr_t;
|
322 |
|
|
wire [9:0] s2t_exp10rx;
|
323 |
|
|
assign {s2t_shr_t,s2t_exp10rx} =
|
324 |
|
|
// force zero result
|
325 |
|
|
s1o_opc_0 ? {10'd0,10'd0} :
|
326 |
|
|
// negative exponent sum
|
327 |
|
|
// (!) takes 1x.xx case into account automatically
|
328 |
|
|
s1o_exp10c[9] ? {s2t_shr_of_neg_exp,10'd1} :
|
329 |
|
|
// (a) zero exponent sum (denorm. result potentially)
|
330 |
|
|
// (!) takes 1x.xx case into account automatically
|
331 |
|
|
// (b) normal case
|
332 |
|
|
// (!) 1x.xx case is processed in next stage
|
333 |
|
|
{{9'd0,s1o_exp10c_0},(s1o_exp10c | {9'd0,s1o_exp10c_0})};
|
334 |
|
|
// limited by 31 and forced result to zero
|
335 |
|
|
wire [4:0] s2t_shrx = s2t_shr_t[4:0] | {5{|s2t_shr_t[9:5]}};
|
336 |
|
|
|
337 |
|
|
|
338 |
|
|
// Support Goldshmidt iteration
|
339 |
|
|
// initial estimation of reciprocal
|
340 |
|
|
wire [8:0] itr_recip9b;
|
341 |
|
|
arecip_lut u_arlut
|
342 |
|
|
(
|
343 |
|
|
.b_i(s1o_fract24b[22:16]),
|
344 |
|
|
.r_o(itr_recip9b)
|
345 |
|
|
);
|
346 |
|
|
// support case: b==1
|
347 |
|
|
wire b_eq_1 = s1o_fract24b[23] & (~(|s1o_fract24b[22:0]));
|
348 |
|
|
// reciprocal with restored leading 01
|
349 |
|
|
wire [10:0] itr_recip11b = b_eq_1 ? 11'b10000000000 :
|
350 |
|
|
{2'b01,itr_recip9b};
|
351 |
|
|
|
352 |
|
|
// the subsequent two stages multiplier operates with 32-bit inputs
|
353 |
|
|
// 25-bits: fractionals (quotient is in range 0.5 to 1)
|
354 |
|
|
// 1-bit : rounding bit
|
355 |
|
|
// 6-bits: guard (due to truncations of intermediate results)
|
356 |
|
|
|
357 |
|
|
// intermediate results:
|
358 |
|
|
// updated divisor (D) is rounded up while all other intermediate values
|
359 |
|
|
// are just truncated in according with directed rounding analysed in:
|
360 |
|
|
// Guy Even, Peter-M.Seidel, Warren E.Ferguson
|
361 |
|
|
// "A parametric error analysis of Goldschmidt’s division algorithm"
|
362 |
|
|
wire itr_rndD = itr_state[3] | itr_state[6];
|
363 |
|
|
wire itr_rndDvsr;
|
364 |
|
|
// align resulting quotient to support subsequent IEEE-compliant rounding
|
365 |
|
|
wire [25:0] itr_res_qtnt26; // rounded quotient
|
366 |
|
|
// Updated quotient or divisor
|
367 |
|
|
wire [32:0] itr_qtnt33;
|
368 |
|
|
// 'F' (2-D) or 'Reminder'
|
369 |
|
|
wire [32:0] itr_rmnd33;
|
370 |
|
|
|
371 |
|
|
|
372 |
|
|
// control for multiplier's input 'A'
|
373 |
|
|
// the register also contains quotient to output
|
374 |
|
|
wire itr_uinA = s1t_is_mul |
|
375 |
|
|
itr_state[0] | itr_state[3] |
|
376 |
|
|
itr_state[6] | itr_rndQ;
|
377 |
|
|
// multiplexer for multiplier's input 'A'
|
378 |
|
|
wire [31:0] itr_mul32a =
|
379 |
|
|
s1t_is_mul ? {s1t_fract24a,8'd0} :
|
380 |
|
|
itr_state[0] ? {itr_recip11b,21'd0} :
|
381 |
|
|
itr_rndQ ? {itr_res_qtnt26,6'd0} : // truncate by 2^(-n-1)
|
382 |
|
|
itr_rmnd33[31:0];
|
383 |
|
|
// register of multiplier's input 'A'
|
384 |
|
|
reg [15:0] s1o_mul16_al;
|
385 |
|
|
reg [15:0] s1o_mul16_ah;
|
386 |
|
|
// registering
|
387 |
|
|
always @(posedge clk) begin
|
388 |
|
|
if(adv_i & itr_uinA) begin
|
389 |
|
|
s1o_mul16_al <= itr_mul32a[15: 0];
|
390 |
|
|
s1o_mul16_ah <= itr_mul32a[31:16];
|
391 |
|
|
end
|
392 |
|
|
end // posedge clock
|
393 |
|
|
|
394 |
|
|
|
395 |
|
|
// control for multiplier's input 'B'
|
396 |
|
|
wire itr_uinB = s1t_is_mul |
|
397 |
|
|
itr_state[0] | itr_state[1] |
|
398 |
|
|
itr_state[3] | itr_state[4] |
|
399 |
|
|
itr_state[6] | itr_state[7] |
|
400 |
|
|
itr_rndQ;
|
401 |
|
|
// multiplexer for multiplier's input 'B'
|
402 |
|
|
wire [31:0] itr_mul32b =
|
403 |
|
|
s1t_is_mul ? {s1t_fract24b,8'd0} :
|
404 |
|
|
(itr_state[0] | itr_rndQ) ? {s1o_fract24b,8'd0} :
|
405 |
|
|
itr_state[1] ? {s1o_fract24a,8'd0} :
|
406 |
|
|
itr_qtnt33[31:0];
|
407 |
|
|
// register of multiplier's input 'B'
|
408 |
|
|
reg [15:0] s1o_mul16_bl;
|
409 |
|
|
reg [15:0] s1o_mul16_bh;
|
410 |
|
|
always @(posedge clk) begin
|
411 |
|
|
if(adv_i & itr_uinB) begin
|
412 |
|
|
s1o_mul16_bl <= itr_mul32b[15: 0];
|
413 |
|
|
s1o_mul16_bh <= itr_mul32b[31:16];
|
414 |
|
|
end
|
415 |
|
|
end // posedge clock
|
416 |
|
|
|
417 |
|
|
// stage #2 outputs
|
418 |
|
|
// input related
|
419 |
|
|
reg s2o_inv, s2o_inf_i,
|
420 |
|
|
s2o_snan_i, s2o_qnan_i, s2o_anan_i_sign;
|
421 |
|
|
// DIV additional outputs
|
422 |
|
|
reg s2o_dbz;
|
423 |
|
|
reg [23:0] s2o_fract24a;
|
424 |
|
|
// computation related
|
425 |
|
|
reg s2o_opc_0;
|
426 |
|
|
reg s2o_signc;
|
427 |
|
|
reg [9:0] s2o_exp10c;
|
428 |
|
|
reg [4:0] s2o_shrx;
|
429 |
|
|
reg s2o_is_shrx;
|
430 |
|
|
reg [9:0] s2o_exp10rx;
|
431 |
|
|
// multipliers
|
432 |
|
|
reg [31:0] s2o_fract32_albl;
|
433 |
|
|
reg [31:0] s2o_fract32_albh;
|
434 |
|
|
reg [31:0] s2o_fract32_ahbl;
|
435 |
|
|
reg [31:0] s2o_fract32_ahbh;
|
436 |
|
|
// registering
|
437 |
|
|
always @(posedge clk) begin
|
438 |
|
|
if(adv_i) begin
|
439 |
|
|
// input related
|
440 |
|
|
s2o_inv <= s1o_inv;
|
441 |
|
|
s2o_inf_i <= s1o_inf_i;
|
442 |
|
|
s2o_snan_i <= s1o_snan_i;
|
443 |
|
|
s2o_qnan_i <= s1o_qnan_i;
|
444 |
|
|
s2o_anan_i_sign <= s1o_anan_i_sign;
|
445 |
|
|
// DIV additional outputs
|
446 |
|
|
s2o_dbz <= s1o_dbz;
|
447 |
|
|
s2o_fract24a <= s1o_fract24a;
|
448 |
|
|
// computation related
|
449 |
|
|
s2o_opc_0 <= s1o_opc_0;
|
450 |
|
|
s2o_signc <= s1o_signc;
|
451 |
|
|
s2o_exp10c <= s1o_exp10c;
|
452 |
|
|
s2o_shrx <= s2t_shrx;
|
453 |
|
|
s2o_is_shrx <= (|s2t_shrx);
|
454 |
|
|
s2o_exp10rx <= s2t_exp10rx;
|
455 |
|
|
// multipliers
|
456 |
|
|
s2o_fract32_albl <= s1o_mul16_al * s1o_mul16_bl;
|
457 |
|
|
s2o_fract32_albh <= s1o_mul16_al * s1o_mul16_bh;
|
458 |
|
|
s2o_fract32_ahbl <= s1o_mul16_ah * s1o_mul16_bl;
|
459 |
|
|
s2o_fract32_ahbh <= s1o_mul16_ah * s1o_mul16_bh;
|
460 |
|
|
end // advance pipe
|
461 |
|
|
end // posedge clock
|
462 |
|
|
|
463 |
|
|
// ready is special case
|
464 |
|
|
reg s2o_mul_ready;
|
465 |
|
|
reg s2o_div_ready;
|
466 |
|
|
always @(posedge clk `OR_ASYNC_RST) begin
|
467 |
|
|
if (rst) begin
|
468 |
|
|
s2o_mul_ready <= 1'b0;
|
469 |
|
|
s2o_div_ready <= 1'b0;
|
470 |
|
|
end else if(flush_i) begin
|
471 |
|
|
s2o_mul_ready <= 1'b0;
|
472 |
|
|
s2o_div_ready <= 1'b0;
|
473 |
|
|
end else if(adv_i) begin
|
474 |
|
|
s2o_mul_ready <= s1o_mul_ready;
|
475 |
|
|
s2o_div_ready <= s1o_div_ready;
|
476 |
|
|
end
|
477 |
|
|
end // posedge clock
|
478 |
|
|
|
479 |
|
|
|
480 |
|
|
/* Stage #3: 2nd part of multiplier */
|
481 |
|
|
|
482 |
|
|
|
483 |
|
|
// 2nd stage of multiplier
|
484 |
|
|
wire [47:0] s3t_fract48;
|
485 |
|
|
assign s3t_fract48 = {s2o_fract32_ahbh, 16'd0} +
|
486 |
|
|
{16'd0, s2o_fract32_ahbl} +
|
487 |
|
|
{16'd0, s2o_fract32_albh} +
|
488 |
|
|
{32'd0, s2o_fract32_albl[31:16]};
|
489 |
|
|
|
490 |
|
|
// stage #3 outputs (for division support)
|
491 |
|
|
|
492 |
|
|
// full product
|
493 |
|
|
reg [32:0] s3o_mul33o; // output
|
494 |
|
|
reg s3o_mul33s; // sticky
|
495 |
|
|
// registering
|
496 |
|
|
always @(posedge clk) begin
|
497 |
|
|
if(adv_i) begin
|
498 |
|
|
s3o_mul33o <= s3t_fract48[47:15];
|
499 |
|
|
s3o_mul33s <= (|s3t_fract48[14:0]) | (|s2o_fract32_albl[15:0]);
|
500 |
|
|
end
|
501 |
|
|
end // posedge clock
|
502 |
|
|
|
503 |
|
|
// For pipelinization of division final stage
|
504 |
|
|
// input related
|
505 |
|
|
reg s3o_inv, s3o_inf_i,
|
506 |
|
|
s3o_snan_i, s3o_qnan_i, s3o_anan_i_sign;
|
507 |
|
|
// DIV computation related
|
508 |
|
|
reg s3o_dbz;
|
509 |
|
|
reg [23:0] s3o_fract24a;
|
510 |
|
|
reg s3o_opc_0;
|
511 |
|
|
reg s3o_signc;
|
512 |
|
|
reg [9:0] s3o_exp10c;
|
513 |
|
|
reg [4:0] s3o_shrx;
|
514 |
|
|
reg s3o_is_shrx;
|
515 |
|
|
reg [9:0] s3o_exp10rx;
|
516 |
|
|
// registering
|
517 |
|
|
always @(posedge clk) begin
|
518 |
|
|
if(adv_i) begin
|
519 |
|
|
// input related
|
520 |
|
|
s3o_inv <= s2o_inv;
|
521 |
|
|
s3o_inf_i <= s2o_inf_i;
|
522 |
|
|
s3o_snan_i <= s2o_snan_i;
|
523 |
|
|
s3o_qnan_i <= s2o_qnan_i;
|
524 |
|
|
s3o_anan_i_sign <= s2o_anan_i_sign;
|
525 |
|
|
// DIV computation related
|
526 |
|
|
s3o_dbz <= s2o_dbz;
|
527 |
|
|
s3o_fract24a <= s2o_fract24a;
|
528 |
|
|
s3o_opc_0 <= s2o_opc_0;
|
529 |
|
|
s3o_signc <= s2o_signc;
|
530 |
|
|
s3o_exp10c <= s2o_exp10c;
|
531 |
|
|
s3o_shrx <= s2o_shrx;
|
532 |
|
|
s3o_is_shrx <= s2o_is_shrx;
|
533 |
|
|
s3o_exp10rx <= s2o_exp10rx;
|
534 |
|
|
end // advance pipe
|
535 |
|
|
end // @clock
|
536 |
|
|
|
537 |
|
|
// stage 3 ready makes sense for division only
|
538 |
|
|
reg s3o_div_ready;
|
539 |
|
|
always @(posedge clk `OR_ASYNC_RST) begin
|
540 |
|
|
if (rst)
|
541 |
|
|
s3o_div_ready <= 1'b0;
|
542 |
|
|
else if(flush_i)
|
543 |
|
|
s3o_div_ready <= 1'b0;
|
544 |
|
|
else if(adv_i)
|
545 |
|
|
s3o_div_ready <= s2o_div_ready;
|
546 |
|
|
end // posedge clock
|
547 |
|
|
|
548 |
|
|
|
549 |
|
|
// Feedback from multiplier's output with various rounding tecqs.
|
550 |
|
|
// +2^(-n-2) in case of rounding 1.xxx qutient
|
551 |
|
|
wire itr_rndQ1xx = s3o_mul33o[31];
|
552 |
|
|
// +2^(-n-2) in case of rounding 0.1xx qutient
|
553 |
|
|
wire itr_rndQ01x = (~s3o_mul33o[31]);
|
554 |
|
|
// rounding mask:
|
555 |
|
|
wire [32:0] itr_rndM33 = // bits [6],[5] ... [0]
|
556 |
|
|
{ 26'd0,(itr_rndQ & itr_rndQ1xx),(itr_rndQ & itr_rndQ01x), // round resulting quotient
|
557 |
|
|
4'd0,(itr_rndD & s3o_mul33s) }; // round intermediate divisor
|
558 |
|
|
// rounding
|
559 |
|
|
assign itr_qtnt33 = s3o_mul33o + itr_rndM33;
|
560 |
|
|
|
561 |
|
|
|
562 |
|
|
// compute 2's complement or reminder (for sticky bit detection)
|
563 |
|
|
// binary point position is located just after bit [30]
|
564 |
|
|
wire [32:0] itr_AorT33 =
|
565 |
|
|
s3o_div_ready ? {1'b0,s3o_fract24a,8'd0} : // for reminder
|
566 |
|
|
{32'h80000000,1'b0}; // for two's complement
|
567 |
|
|
|
568 |
|
|
// 'Reminder' / Two's complement
|
569 |
|
|
assign itr_rmnd33 = itr_AorT33 - itr_qtnt33;
|
570 |
|
|
|
571 |
|
|
// Auxiliary flags:
|
572 |
|
|
// - truncated reminder isn't zero
|
573 |
|
|
wire s4t_rmnd33_n0 = |itr_rmnd33;
|
574 |
|
|
// - rounded quotient is exact
|
575 |
|
|
wire s4t_qtnt_exact = ~(s4t_rmnd33_n0 | s3o_mul33s);
|
576 |
|
|
// - signum of final reminder
|
577 |
|
|
wire s4t_sign_rmnd = itr_rmnd33[32] | ((~s4t_rmnd33_n0) & s3o_mul33s);
|
578 |
|
|
|
579 |
|
|
|
580 |
|
|
// Additionally store 26-bit of non-rounded (_raw_) and rounded (_res_) quotients.
|
581 |
|
|
// It is used for rounding in cases of denormalized result.
|
582 |
|
|
// Stiky bit is forced to be zero.
|
583 |
|
|
// The value are marked by stage #2 output
|
584 |
|
|
// raw
|
585 |
|
|
reg [25:0] s3o_raw_qtnt26;
|
586 |
|
|
// rounded
|
587 |
|
|
reg [25:0] s3o_res_qtnt26;
|
588 |
|
|
assign itr_res_qtnt26 = {itr_qtnt33[31:7],itr_qtnt33[6] & itr_rndQ01x};
|
589 |
|
|
// latching
|
590 |
|
|
always @(posedge clk ) begin
|
591 |
|
|
if(itr_rndQ) begin
|
592 |
|
|
s3o_raw_qtnt26 <= s3o_mul33o[31:6];
|
593 |
|
|
s3o_res_qtnt26 <= itr_res_qtnt26;
|
594 |
|
|
end
|
595 |
|
|
end
|
596 |
|
|
|
597 |
|
|
// Possible left shift computation.
|
598 |
|
|
// In fact, as the dividend and divisor was normalized
|
599 |
|
|
// and the result is non-zero
|
600 |
|
|
// the '1' is maximum number of leading zeros in the quotient.
|
601 |
|
|
wire s4t_nlz = ~s3o_res_qtnt26[25];
|
602 |
|
|
wire [9:0] s4t_exp10_m1 = s3o_exp10c - 10'd1;
|
603 |
|
|
// left shift flag and corrected exponent
|
604 |
|
|
wire s4t_shlx;
|
605 |
|
|
wire [9:0] s4t_exp10lx;
|
606 |
|
|
assign {s4t_shlx,s4t_exp10lx} =
|
607 |
|
|
// shift isn't needed (includes zero result)
|
608 |
|
|
(~s4t_nlz) ? {1'b0,s3o_exp10c} :
|
609 |
|
|
// normalization is possible
|
610 |
|
|
(s3o_exp10c > 10'd1) ? {1'b1,s4t_exp10_m1} :
|
611 |
|
|
// denormalized and zero cases
|
612 |
|
|
{1'b0,{9'd0,~s3o_opc_0}};
|
613 |
|
|
|
614 |
|
|
// check if quotient is denormalized
|
615 |
|
|
wire s4t_denorm = s3o_is_shrx |
|
616 |
|
|
((~s3o_is_shrx) & (~s4t_shlx) & s4t_nlz);
|
617 |
|
|
// Select quotient for subsequent align and rounding
|
618 |
|
|
// The rounded (_res_) quotient is used:
|
619 |
|
|
// - for normalized result
|
620 |
|
|
// - exact result
|
621 |
|
|
// - non-exact but lesser than infinity precision result
|
622 |
|
|
wire [25:0] s4t_qtnt26 =
|
623 |
|
|
( (~s4t_denorm) | s4t_qtnt_exact |
|
624 |
|
|
((~s4t_qtnt_exact) & (~s4t_sign_rmnd)) ) ? s3o_res_qtnt26 :
|
625 |
|
|
s3o_raw_qtnt26;
|
626 |
|
|
|
627 |
|
|
|
628 |
|
|
// output
|
629 |
|
|
always @(posedge clk) begin
|
630 |
|
|
if(adv_i) begin
|
631 |
|
|
// input related
|
632 |
|
|
muldiv_inv_o <= s3o_div_ready ? s3o_inv : s2o_inv;
|
633 |
|
|
muldiv_inf_o <= s3o_div_ready ? s3o_inf_i : s2o_inf_i;
|
634 |
|
|
muldiv_snan_o <= s3o_div_ready ? s3o_snan_i : s2o_snan_i;
|
635 |
|
|
muldiv_qnan_o <= s3o_div_ready ? s3o_qnan_i : s2o_qnan_i;
|
636 |
|
|
muldiv_anan_sign_o <= s3o_div_ready ? s3o_anan_i_sign : s2o_anan_i_sign;
|
637 |
|
|
// computation related
|
638 |
|
|
muldiv_sign_o <= s3o_div_ready ? s3o_signc : s2o_signc;
|
639 |
|
|
muldiv_shr_o <= s3o_div_ready ? s3o_shrx : s2o_shrx;
|
640 |
|
|
muldiv_exp10shr_o <= s3o_div_ready ? s3o_exp10rx : s2o_exp10rx;
|
641 |
|
|
muldiv_shl_o <= s3o_div_ready & s4t_shlx; // makes sense for DIV only
|
642 |
|
|
muldiv_exp10shl_o <= {10{s3o_div_ready}} & s4t_exp10lx; // makes sense for DIV only
|
643 |
|
|
muldiv_exp10sh0_o <= s3o_div_ready ? s3o_exp10c : s2o_exp10c;
|
644 |
|
|
muldiv_fract28_o <= s3o_div_ready ?
|
645 |
|
|
{1'b0,s4t_qtnt26,~s4t_qtnt_exact} : // quotient
|
646 |
|
|
{s3t_fract48[47:21],|s3t_fract48[20:0]}; // product
|
647 |
|
|
// DIV additional outputs
|
648 |
|
|
div_op_o <= s3o_div_ready;
|
649 |
|
|
div_sign_rmnd_o <= s3o_div_ready & s4t_sign_rmnd;
|
650 |
|
|
div_dbz_o <= s3o_div_ready & s3o_dbz;
|
651 |
|
|
end // advance pipe
|
652 |
|
|
end // posedge clock
|
653 |
|
|
|
654 |
|
|
// ready is special case
|
655 |
|
|
always @(posedge clk `OR_ASYNC_RST) begin
|
656 |
|
|
if (rst)
|
657 |
|
|
muldiv_rdy_o <= 0;
|
658 |
|
|
else if(flush_i)
|
659 |
|
|
muldiv_rdy_o <= 0;
|
660 |
|
|
else if(adv_i)
|
661 |
|
|
muldiv_rdy_o <= s2o_mul_ready | s3o_div_ready;
|
662 |
|
|
end // posedge clock
|
663 |
|
|
|
664 |
|
|
endmodule // pfpu32_muldiv
|
665 |
|
|
|
666 |
|
|
|
667 |
|
|
// initial reciprocal approximation
|
668 |
|
|
module arecip_lut
|
669 |
|
|
(
|
670 |
|
|
input [6:0] b_i,
|
671 |
|
|
output reg [8:0] r_o
|
672 |
|
|
);
|
673 |
|
|
always @(b_i) begin
|
674 |
|
|
case(b_i) // synopsys full_case parallel_case
|
675 |
|
|
7'd0 : r_o = 9'd508;
|
676 |
|
|
7'd1 : r_o = 9'd500;
|
677 |
|
|
7'd2 : r_o = 9'd492;
|
678 |
|
|
7'd3 : r_o = 9'd485;
|
679 |
|
|
7'd4 : r_o = 9'd477;
|
680 |
|
|
7'd5 : r_o = 9'd470;
|
681 |
|
|
7'd6 : r_o = 9'd463;
|
682 |
|
|
7'd7 : r_o = 9'd455;
|
683 |
|
|
7'd8 : r_o = 9'd448;
|
684 |
|
|
7'd9 : r_o = 9'd441;
|
685 |
|
|
7'd10 : r_o = 9'd434;
|
686 |
|
|
7'd11 : r_o = 9'd428;
|
687 |
|
|
7'd12 : r_o = 9'd421;
|
688 |
|
|
7'd13 : r_o = 9'd414;
|
689 |
|
|
7'd14 : r_o = 9'd408;
|
690 |
|
|
7'd15 : r_o = 9'd401;
|
691 |
|
|
7'd16 : r_o = 9'd395;
|
692 |
|
|
7'd17 : r_o = 9'd389;
|
693 |
|
|
7'd18 : r_o = 9'd383;
|
694 |
|
|
7'd19 : r_o = 9'd377;
|
695 |
|
|
7'd20 : r_o = 9'd371;
|
696 |
|
|
7'd21 : r_o = 9'd365;
|
697 |
|
|
7'd22 : r_o = 9'd359;
|
698 |
|
|
7'd23 : r_o = 9'd353;
|
699 |
|
|
7'd24 : r_o = 9'd347;
|
700 |
|
|
7'd25 : r_o = 9'd342;
|
701 |
|
|
7'd26 : r_o = 9'd336;
|
702 |
|
|
7'd27 : r_o = 9'd331;
|
703 |
|
|
7'd28 : r_o = 9'd326;
|
704 |
|
|
7'd29 : r_o = 9'd320;
|
705 |
|
|
7'd30 : r_o = 9'd315;
|
706 |
|
|
7'd31 : r_o = 9'd310;
|
707 |
|
|
7'd32 : r_o = 9'd305;
|
708 |
|
|
7'd33 : r_o = 9'd300;
|
709 |
|
|
7'd34 : r_o = 9'd295;
|
710 |
|
|
7'd35 : r_o = 9'd290;
|
711 |
|
|
7'd36 : r_o = 9'd285;
|
712 |
|
|
7'd37 : r_o = 9'd280;
|
713 |
|
|
7'd38 : r_o = 9'd275;
|
714 |
|
|
7'd39 : r_o = 9'd271;
|
715 |
|
|
7'd40 : r_o = 9'd266;
|
716 |
|
|
7'd41 : r_o = 9'd261;
|
717 |
|
|
7'd42 : r_o = 9'd257;
|
718 |
|
|
7'd43 : r_o = 9'd252;
|
719 |
|
|
7'd44 : r_o = 9'd248;
|
720 |
|
|
7'd45 : r_o = 9'd243;
|
721 |
|
|
7'd46 : r_o = 9'd239;
|
722 |
|
|
7'd47 : r_o = 9'd235;
|
723 |
|
|
7'd48 : r_o = 9'd231;
|
724 |
|
|
7'd49 : r_o = 9'd226;
|
725 |
|
|
7'd50 : r_o = 9'd222;
|
726 |
|
|
7'd51 : r_o = 9'd218;
|
727 |
|
|
7'd52 : r_o = 9'd214;
|
728 |
|
|
7'd53 : r_o = 9'd210;
|
729 |
|
|
7'd54 : r_o = 9'd206;
|
730 |
|
|
7'd55 : r_o = 9'd202;
|
731 |
|
|
7'd56 : r_o = 9'd198;
|
732 |
|
|
7'd57 : r_o = 9'd195;
|
733 |
|
|
7'd58 : r_o = 9'd191;
|
734 |
|
|
7'd59 : r_o = 9'd187;
|
735 |
|
|
7'd60 : r_o = 9'd183;
|
736 |
|
|
7'd61 : r_o = 9'd180;
|
737 |
|
|
7'd62 : r_o = 9'd176;
|
738 |
|
|
7'd63 : r_o = 9'd172;
|
739 |
|
|
7'd64 : r_o = 9'd169;
|
740 |
|
|
7'd65 : r_o = 9'd165;
|
741 |
|
|
7'd66 : r_o = 9'd162;
|
742 |
|
|
7'd67 : r_o = 9'd158;
|
743 |
|
|
7'd68 : r_o = 9'd155;
|
744 |
|
|
7'd69 : r_o = 9'd152;
|
745 |
|
|
7'd70 : r_o = 9'd148;
|
746 |
|
|
7'd71 : r_o = 9'd145;
|
747 |
|
|
7'd72 : r_o = 9'd142;
|
748 |
|
|
7'd73 : r_o = 9'd138;
|
749 |
|
|
7'd74 : r_o = 9'd135;
|
750 |
|
|
7'd75 : r_o = 9'd132;
|
751 |
|
|
7'd76 : r_o = 9'd129;
|
752 |
|
|
7'd77 : r_o = 9'd126;
|
753 |
|
|
7'd78 : r_o = 9'd123;
|
754 |
|
|
7'd79 : r_o = 9'd120;
|
755 |
|
|
7'd80 : r_o = 9'd117;
|
756 |
|
|
7'd81 : r_o = 9'd114;
|
757 |
|
|
7'd82 : r_o = 9'd111;
|
758 |
|
|
7'd83 : r_o = 9'd108;
|
759 |
|
|
7'd84 : r_o = 9'd105;
|
760 |
|
|
7'd85 : r_o = 9'd102;
|
761 |
|
|
7'd86 : r_o = 9'd99;
|
762 |
|
|
7'd87 : r_o = 9'd96;
|
763 |
|
|
7'd88 : r_o = 9'd93;
|
764 |
|
|
7'd89 : r_o = 9'd91;
|
765 |
|
|
7'd90 : r_o = 9'd88;
|
766 |
|
|
7'd91 : r_o = 9'd85;
|
767 |
|
|
7'd92 : r_o = 9'd82;
|
768 |
|
|
7'd93 : r_o = 9'd80;
|
769 |
|
|
7'd94 : r_o = 9'd77;
|
770 |
|
|
7'd95 : r_o = 9'd74;
|
771 |
|
|
7'd96 : r_o = 9'd72;
|
772 |
|
|
7'd97 : r_o = 9'd69;
|
773 |
|
|
7'd98 : r_o = 9'd67;
|
774 |
|
|
7'd99 : r_o = 9'd64;
|
775 |
|
|
7'd100 : r_o = 9'd62;
|
776 |
|
|
7'd101 : r_o = 9'd59;
|
777 |
|
|
7'd102 : r_o = 9'd57;
|
778 |
|
|
7'd103 : r_o = 9'd54;
|
779 |
|
|
7'd104 : r_o = 9'd52;
|
780 |
|
|
7'd105 : r_o = 9'd49;
|
781 |
|
|
7'd106 : r_o = 9'd47;
|
782 |
|
|
7'd107 : r_o = 9'd45;
|
783 |
|
|
7'd108 : r_o = 9'd42;
|
784 |
|
|
7'd109 : r_o = 9'd40;
|
785 |
|
|
7'd110 : r_o = 9'd38;
|
786 |
|
|
7'd111 : r_o = 9'd35;
|
787 |
|
|
7'd112 : r_o = 9'd33;
|
788 |
|
|
7'd113 : r_o = 9'd31;
|
789 |
|
|
7'd114 : r_o = 9'd29;
|
790 |
|
|
7'd115 : r_o = 9'd26;
|
791 |
|
|
7'd116 : r_o = 9'd24;
|
792 |
|
|
7'd117 : r_o = 9'd22;
|
793 |
|
|
7'd118 : r_o = 9'd20;
|
794 |
|
|
7'd119 : r_o = 9'd18;
|
795 |
|
|
7'd120 : r_o = 9'd15;
|
796 |
|
|
7'd121 : r_o = 9'd13;
|
797 |
|
|
7'd122 : r_o = 9'd11;
|
798 |
|
|
7'd123 : r_o = 9'd9;
|
799 |
|
|
7'd124 : r_o = 9'd7;
|
800 |
|
|
7'd125 : r_o = 9'd5;
|
801 |
|
|
7'd126 : r_o = 9'd3;
|
802 |
|
|
default: r_o = 9'd1;
|
803 |
|
|
endcase // LUT for initial approximation of reciprocal
|
804 |
|
|
end // always
|
805 |
|
|
endmodule
|