📄 fpu.v
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///////////////////////////////////////////////////////////////////////// //////// FPU //////// Floating Point Unit (Single precision) //////// //////// 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 / 100ps/*FPU Operations (fpu_op):========================0 = add1 = sub2 = mul3 = div4 =5 =6 =7 =Rounding Modes (rmode):=======================0 = round_nearest_even1 = round_to_zero2 = round_up3 = round_down*/module fpu( clk, rmode, fpu_op, opa, opb, out, inf, snan, qnan, ine, overflow, underflow, zero, div_by_zero);input clk;input [1:0] rmode;input [2:0] fpu_op;input [31:0] opa, opb;output [31:0] out;output inf, snan, qnan;output ine;output overflow, underflow;output zero;output div_by_zero;parameter INF = 31'h7f800000, QNAN = 31'h7fc00001, SNAN = 31'h7f800001;//////////////////////////////////////////////////////////////////////////// Local Wires//reg zero;reg [31:0] opa_r, opb_r; // Input operand registersreg [31:0] out; // Output registerreg div_by_zero; // Divide by zero output registerwire signa, signb; // alias to opX signwire sign_fasu; // sign outputwire [26:0] fracta, fractb; // Fraction Outputs from EQU blockwire [7:0] exp_fasu; // Exponent output from EQU blockreg [7:0] exp_r; // Exponent output (registerd)wire [26:0] fract_out_d; // fraction outputwire co; // carry outputreg [27:0] fract_out_q; // fraction output (registerd)wire [30:0] out_d; // Intermediate final result outputwire overflow_d, underflow_d;// Overflow/Underflow Indicatorsreg overflow, underflow; // Output registers for Overflow & Underflowreg inf, snan, qnan; // Output Registers for INF, SNAN and QNANreg ine; // Output Registers for INEreg [1:0] rmode_r1, rmode_r2, // Pipeline registers for rounding mode rmode_r3;reg [2:0] fpu_op_r1, fpu_op_r2, // Pipeline registers for fp opration fpu_op_r3;wire mul_inf, div_inf;wire mul_00, div_00;//////////////////////////////////////////////////////////////////////////// Input Registers//always @(posedge clk) opa_r <= #1 opa;always @(posedge clk) opb_r <= #1 opb;always @(posedge clk) rmode_r1 <= #1 rmode;always @(posedge clk) rmode_r2 <= #1 rmode_r1;always @(posedge clk) rmode_r3 <= #1 rmode_r2;always @(posedge clk) fpu_op_r1 <= #1 fpu_op;always @(posedge clk) fpu_op_r2 <= #1 fpu_op_r1;always @(posedge clk) fpu_op_r3 <= #1 fpu_op_r2;//////////////////////////////////////////////////////////////////////////// Exceptions block//wire inf_d, ind_d, qnan_d, snan_d, opa_nan, opb_nan;wire opa_00, opb_00;wire opa_inf, opb_inf;wire opa_dn, opb_dn;except u0( .clk(clk), .opa(opa_r), .opb(opb_r), .inf(inf_d), .ind(ind_d), .qnan(qnan_d), .snan(snan_d), .opa_nan(opa_nan), .opb_nan(opb_nan), .opa_00(opa_00), .opb_00(opb_00), .opa_inf(opa_inf), .opb_inf(opb_inf), .opa_dn(opa_dn), .opb_dn(opb_dn) );//////////////////////////////////////////////////////////////////////////// Pre-Normalize block// - Adjusts the numbers to equal exponents and sorts them// - determine result sign// - determine actual operation to perform (add or sub)//wire nan_sign_d, result_zero_sign_d;reg sign_fasu_r;wire [7:0] exp_mul;wire sign_mul;reg sign_mul_r;wire [23:0] fracta_mul, fractb_mul;wire inf_mul;reg inf_mul_r;wire [1:0] exp_ovf;reg [1:0] exp_ovf_r;wire sign_exe;reg sign_exe_r;wire [2:0] underflow_fmul_d;pre_norm u1(.clk(clk), // System Clock .rmode(rmode_r2), // Roundin Mode .add(!fpu_op_r1[0]), // Add/Sub Input .opa(opa_r), .opb(opb_r), // Registered OP Inputs .opa_nan(opa_nan), // OpA is a NAN indicator .opb_nan(opb_nan), // OpB is a NAN indicator .fracta_out(fracta), // Equalized and sorted fraction .fractb_out(fractb), // outputs (Registered) .exp_dn_out(exp_fasu), // Selected exponent output (registered); .sign(sign_fasu), // Encoded output Sign (registered) .nan_sign(nan_sign_d), // Output Sign for NANs (registered) .result_zero_sign(result_zero_sign_d), // Output Sign for zero result (registered) .fasu_op(fasu_op) // Actual fasu operation output (registered) );always @(posedge clk) sign_fasu_r <= #1 sign_fasu;pre_norm_fmul u2( .clk(clk), .fpu_op(fpu_op_r1), .opa(opa_r), .opb(opb_r), .fracta(fracta_mul), .fractb(fractb_mul), .exp_out(exp_mul), // FMUL exponent output (registered) .sign(sign_mul), // FMUL sign output (registered) .sign_exe(sign_exe), // FMUL exception sign output (registered) .inf(inf_mul), // FMUL inf output (registered) .exp_ovf(exp_ovf), // FMUL exponnent overflow output (registered) .underflow(underflow_fmul_d) );always @(posedge clk) sign_mul_r <= #1 sign_mul;always @(posedge clk) sign_exe_r <= #1 sign_exe;always @(posedge clk) inf_mul_r <= #1 inf_mul;always @(posedge clk) exp_ovf_r <= #1 exp_ovf;//////////////////////////////////////////////////////////////////////////// Add/Sub//add_sub27 u3( .add(fasu_op), // Add/Sub .opa(fracta), // Fraction A input .opb(fractb), // Fraction B Input .sum(fract_out_d), // SUM output .co(co_d) ); // Carry Outputalways @(posedge clk) fract_out_q <= #1 {co_d, fract_out_d};//////////////////////////////////////////////////////////////////////////// Mul//wire [47:0] prod;mul_r2 u5(.clk(clk), .opa(fracta_mul), .opb(fractb_mul), .prod(prod));//////////////////////////////////////////////////////////////////////////// Divide//wire [49:0] quo;wire [49:0] fdiv_opa;wire [49:0] remainder;wire remainder_00;reg [4:0] div_opa_ldz_d, div_opa_ldz_r1, div_opa_ldz_r2;always @(fracta_mul) casex(fracta_mul[22:0]) 23'b1??????????????????????: div_opa_ldz_d = 1; 23'b01?????????????????????: div_opa_ldz_d = 2; 23'b001????????????????????: div_opa_ldz_d = 3; 23'b0001???????????????????: div_opa_ldz_d = 4; 23'b00001??????????????????: div_opa_ldz_d = 5; 23'b000001?????????????????: div_opa_ldz_d = 6; 23'b0000001????????????????: div_opa_ldz_d = 7; 23'b00000001???????????????: div_opa_ldz_d = 8; 23'b000000001??????????????: div_opa_ldz_d = 9; 23'b0000000001?????????????: div_opa_ldz_d = 10; 23'b00000000001????????????: div_opa_ldz_d = 11; 23'b000000000001???????????: div_opa_ldz_d = 12; 23'b0000000000001??????????: div_opa_ldz_d = 13; 23'b00000000000001?????????: div_opa_ldz_d = 14; 23'b000000000000001????????: div_opa_ldz_d = 15; 23'b0000000000000001???????: div_opa_ldz_d = 16; 23'b00000000000000001??????: div_opa_ldz_d = 17; 23'b000000000000000001?????: div_opa_ldz_d = 18; 23'b0000000000000000001????: div_opa_ldz_d = 19; 23'b00000000000000000001???: div_opa_ldz_d = 20; 23'b000000000000000000001??: div_opa_ldz_d = 21; 23'b0000000000000000000001?: div_opa_ldz_d = 22; 23'b0000000000000000000000?: div_opa_ldz_d = 23; endcase
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