📄 pre_norm.v
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///////////////////////////////////////////////////////////////////////// //////// Pre Normalize //////// Pre Normalization Unit for Add/Sub Operations //////// //////// Author: Rudolf Usselmann //////// rudi@asics.ws //////// ///////////////////////////////////////////////////////////////////////////// //////// Copyright (C) 2000 Rudolf Usselmann //////// rudi@asics.ws //////// //////// This source file may be used and distributed without //////// restriction provided that this copyright statement is not //////// removed from the file and that any derivative work contains //////// the original copyright notice and the associated disclaimer.//////// //////// THIS SOFTWARE IS PROVIDED ``AS IS'' AND WITHOUT ANY //////// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED //////// TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS //////// FOR A PARTICULAR PURPOSE. IN NO EVENT SHALL THE AUTHOR //////// OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, //////// INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES //////// (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE //////// GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR //////// BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF //////// LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT //////// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT //////// OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE //////// POSSIBILITY OF SUCH DAMAGE. //////// /////////////////////////////////////////////////////////////////////////`timescale 1ns / 100psmodule pre_norm(clk, rmode, add, opa, opb, opa_nan, opb_nan, fracta_out, fractb_out, exp_dn_out, sign, nan_sign, result_zero_sign, fasu_op);input clk;input [1:0] rmode;input add;input [31:0] opa, opb;input opa_nan, opb_nan;output [26:0] fracta_out, fractb_out;output [7:0] exp_dn_out;output sign;output nan_sign, result_zero_sign;output fasu_op; // Operation Output//////////////////////////////////////////////////////////////////////////// Local Wires and registers//wire signa, signb; // alias to opX signwire [7:0] expa, expb; // alias to opX exponentwire [22:0] fracta, fractb; // alias to opX fractionwire expa_lt_expb; // expa is larger than expb indicatorwire fractb_lt_fracta; // fractb is larger than fracta indicatorreg [7:0] exp_dn_out; // de normalized exponent outputwire [7:0] exp_small, exp_large;wire [7:0] exp_diff; // Numeric difference of the two exponentswire [22:0] adj_op; // Fraction adjustment: inputwire [26:0] adj_op_tmp;wire [26:0] adj_op_out; // Fraction adjustment: outputwire [26:0] fracta_n, fractb_n; // Fraction selection after normalizingwire [26:0] fracta_s, fractb_s; // Fraction Sorting outreg [26:0] fracta_out, fractb_out; // Fraction Outputreg sign, sign_d; // Sign Outputreg add_d; // operation (add/sub)reg fasu_op; // operation (add/sub) registerwire expa_dn, expb_dn;reg sticky;reg result_zero_sign;reg add_r, signa_r, signb_r;wire [4:0] exp_diff_sft;wire exp_lt_27;wire op_dn;wire [26:0] adj_op_out_sft;reg fracta_lt_fractb, fracta_eq_fractb;wire nan_sign1;reg nan_sign;//////////////////////////////////////////////////////////////////////////// Aliases//assign signa = opa[31];assign signb = opb[31];assign expa = opa[30:23];assign expb = opb[30:23];assign fracta = opa[22:0];assign fractb = opb[22:0];//////////////////////////////////////////////////////////////////////////// Pre-Normalize exponents (and fractions)//assign expa_lt_expb = expa > expb; // expa is larger than expb// ---------------------------------------------------------------------// Normalizeassign expa_dn = !(|expa); // opa denormalizedassign expb_dn = !(|expb); // opb denormalized// ---------------------------------------------------------------------// Calculate the difference between the smaller and larger exponentwire [7:0] exp_diff1, exp_diff1a, exp_diff2;assign exp_small = expa_lt_expb ? expb : expa;assign exp_large = expa_lt_expb ? expa : expb;assign exp_diff1 = exp_large - exp_small;assign exp_diff1a = exp_diff1-1;assign exp_diff2 = (expa_dn | expb_dn) ? exp_diff1a : exp_diff1;assign exp_diff = (expa_dn & expb_dn) ? 8'h0 : exp_diff2;always @(posedge clk) // If numbers are equal we should return zero exp_dn_out <= #1 (!add_d & expa==expb & fracta==fractb) ? 8'h0 : exp_large;// ---------------------------------------------------------------------// Adjust the smaller fractionassign op_dn = expa_lt_expb ? expb_dn : expa_dn;assign adj_op = expa_lt_expb ? fractb : fracta;assign adj_op_tmp = { ~op_dn, adj_op, 3'b0 }; // recover hidden bit (op_dn) // adj_op_out is 27 bits wide, so can only be shifted 27 bits to the rightassign exp_lt_27 = exp_diff > 8'd27;assign exp_diff_sft = exp_lt_27 ? 5'd27 : exp_diff[4:0];assign adj_op_out_sft = adj_op_tmp >> exp_diff_sft;assign adj_op_out = {adj_op_out_sft[26:1], adj_op_out_sft[0] | sticky };// ---------------------------------------------------------------------// Get truncated portion (sticky bit)always @(exp_diff_sft or adj_op_tmp) case(exp_diff_sft) // synopsys full_case parallel_case 00: sticky = 1'h0; 01: sticky = adj_op_tmp[0]; 02: sticky = |adj_op_tmp[01:0]; 03: sticky = |adj_op_tmp[02:0]; 04: sticky = |adj_op_tmp[03:0]; 05: sticky = |adj_op_tmp[04:0]; 06: sticky = |adj_op_tmp[05:0]; 07: sticky = |adj_op_tmp[06:0]; 08: sticky = |adj_op_tmp[07:0]; 09: sticky = |adj_op_tmp[08:0]; 10: sticky = |adj_op_tmp[09:0]; 11: sticky = |adj_op_tmp[10:0]; 12: sticky = |adj_op_tmp[11:0]; 13: sticky = |adj_op_tmp[12:0]; 14: sticky = |adj_op_tmp[13:0]; 15: sticky = |adj_op_tmp[14:0]; 16: sticky = |adj_op_tmp[15:0]; 17: sticky = |adj_op_tmp[16:0]; 18: sticky = |adj_op_tmp[17:0]; 19: sticky = |adj_op_tmp[18:0]; 20: sticky = |adj_op_tmp[19:0]; 21: sticky = |adj_op_tmp[20:0]; 22: sticky = |adj_op_tmp[21:0]; 23: sticky = |adj_op_tmp[22:0]; 24: sticky = |adj_op_tmp[23:0]; 25: sticky = |adj_op_tmp[24:0]; 26: sticky = |adj_op_tmp[25:0]; 27: sticky = |adj_op_tmp[26:0]; endcase// ---------------------------------------------------------------------// Select operands for add/sub (recover hidden bit)assign fracta_n = expa_lt_expb ? {~expa_dn, fracta, 3'b0} : adj_op_out;assign fractb_n = expa_lt_expb ? adj_op_out : {~expb_dn, fractb, 3'b0};// ---------------------------------------------------------------------// Sort operands (for sub only)assign fractb_lt_fracta = fractb_n > fracta_n; // fractb is larger than fractaassign fracta_s = fractb_lt_fracta ? fractb_n : fracta_n;assign fractb_s = fractb_lt_fracta ? fracta_n : fractb_n;always @(posedge clk) fracta_out <= #1 fracta_s;always @(posedge clk) fractb_out <= #1 fractb_s;// ---------------------------------------------------------------------// Determine sign for the output// sign: 0=Positive Number; 1=Negative Numberalways @(signa or signb or add or fractb_lt_fracta) case({signa, signb, add}) // synopsys full_case parallel_case // Add 3'b0_0_1: sign_d = 0; 3'b0_1_1: sign_d = fractb_lt_fracta; 3'b1_0_1: sign_d = !fractb_lt_fracta; 3'b1_1_1: sign_d = 1; // Sub 3'b0_0_0: sign_d = fractb_lt_fracta; 3'b0_1_0: sign_d = 0; 3'b1_0_0: sign_d = 1; 3'b1_1_0: sign_d = !fractb_lt_fracta; endcasealways @(posedge clk) sign <= #1 sign_d;// Fix sign for ZERO resultalways @(posedge clk) signa_r <= #1 signa;always @(posedge clk) signb_r <= #1 signb;always @(posedge clk) add_r <= #1 add;always @(posedge clk) result_zero_sign <= #1 ( add_r & signa_r & signb_r) | (!add_r & signa_r & !signb_r) | ( add_r & (signa_r | signb_r) & (rmode==3)) | (!add_r & (signa_r == signb_r) & (rmode==3));// Fix sign for NAN resultalways @(posedge clk) fracta_lt_fractb <= #1 fracta < fractb;always @(posedge clk) fracta_eq_fractb <= #1 fracta == fractb;assign nan_sign1 = fracta_eq_fractb ? (signa_r & signb_r) : fracta_lt_fractb ? signb_r : signa_r;always @(posedge clk) nan_sign <= #1 (opa_nan & opb_nan) ? nan_sign1 : opb_nan ? signb_r : signa_r;//////////////////////////////////////////////////////////////////////////// Decode Add/Sub operation//// add: 1=Add; 0=Subtractalways @(signa or signb or add) case({signa, signb, add}) // synopsys full_case parallel_case // Add 3'b0_0_1: add_d = 1; 3'b0_1_1: add_d = 0; 3'b1_0_1: add_d = 0; 3'b1_1_1: add_d = 1; // Sub 3'b0_0_0: add_d = 0; 3'b0_1_0: add_d = 1; 3'b1_0_0: add_d = 1; 3'b1_1_0: add_d = 0; endcasealways @(posedge clk) fasu_op <= #1 add_d;endmodule
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