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///////////////////////////////////////////////////////////////////// //// //// //// FPU //// //// Floating Point Unit (Double precision) //// //// //// //// Author: David Lundgren //// //// davidklun@gmail.com //// //// //// ///////////////////////////////////////////////////////////////////// //// //// //// Copyright (C) 2009 David Lundgren //// //// davidklun@gmail.com //// //// //// //// 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 module fpu_exceptions( clk, rst, enable, rmode, opa, opb, in_except, exponent_in, mantissa_in, fpu_op, out, ex_enable, underflow, overflow, inexact, exception, invalid); input clk; input rst; input enable; input [1:0] rmode; input [63:0] opa; input [63:0] opb; input [63:0] in_except; input [11:0] exponent_in; input [1:0] mantissa_in; input [2:0] fpu_op; output [63:0] out; output ex_enable; output underflow; output overflow; output inexact; output exception; output invalid; reg [63:0] out; reg ex_enable; reg underflow; reg overflow; reg inexact; reg exception; reg invalid; reg in_et_zero; reg opa_et_zero; reg opb_et_zero; reg input_et_zero; reg add; reg subtract; reg multiply; reg divide; reg opa_QNaN; reg opb_QNaN; reg opa_SNaN; reg opb_SNaN; reg opa_pos_inf; reg opb_pos_inf; reg opa_neg_inf; reg opb_neg_inf; reg opa_inf; reg opb_inf; reg NaN_input; reg SNaN_input; reg a_NaN; reg div_by_0; reg div_0_by_0; reg div_inf_by_inf; reg div_by_inf; reg mul_0_by_inf; reg mul_inf; reg div_inf; reg add_inf; reg sub_inf; reg addsub_inf_invalid; reg addsub_inf; reg out_inf_trigger; reg out_pos_inf; reg out_neg_inf; reg round_nearest; reg round_to_zero; reg round_to_pos_inf; reg round_to_neg_inf; reg inf_round_down_trigger; reg mul_uf; reg div_uf; reg underflow_trigger; reg invalid_trigger; reg overflow_trigger; reg inexact_trigger; reg except_trigger; reg enable_trigger; reg NaN_out_trigger; reg SNaN_trigger; wire [10:0] exp_2047 = 11'b11111111111; wire [10:0] exp_2046 = 11'b11111111110; reg [62:0] NaN_output_0; reg [62:0] NaN_output; wire [51:0] mantissa_max = 52'b1111111111111111111111111111111111111111111111111111; reg [62:0] inf_round_down; reg [62:0] out_inf; reg [63:0] out_0; reg [63:0] out_1; reg [63:0] out_2; always @(posedge clk) begin if (rst) begin in_et_zero <= 0; opa_et_zero <= 0; opb_et_zero <= 0; input_et_zero <= 0; add <= 0; subtract <= 0; multiply <= 0; divide <= 0; opa_QNaN <= 0; opb_QNaN <= 0; opa_SNaN <= 0; opb_SNaN <= 0; opa_pos_inf <= 0; opb_pos_inf <= 0; opa_neg_inf <= 0; opb_neg_inf <= 0; opa_inf <= 0; opb_inf <= 0; NaN_input <= 0; SNaN_input <= 0; a_NaN <= 0; div_by_0 <= 0; div_0_by_0 <= 0; div_inf_by_inf <= 0; div_by_inf <= 0; mul_0_by_inf <= 0; mul_inf <= 0; div_inf <= 0; add_inf <= 0; sub_inf <= 0; addsub_inf_invalid <= 0; addsub_inf <= 0; out_inf_trigger <= 0; out_pos_inf <= 0; out_neg_inf <= 0; round_nearest <= 0; round_to_zero <= 0; round_to_pos_inf <= 0; round_to_neg_inf <= 0; inf_round_down_trigger <= 0; mul_uf <= 0; div_uf <= 0; underflow_trigger <= 0; invalid_trigger <= 0; overflow_trigger <= 0; inexact_trigger <= 0; except_trigger <= 0; enable_trigger <= 0; NaN_out_trigger <= 0; SNaN_trigger <= 0; NaN_output_0 <= 0; NaN_output <= 0; inf_round_down <= 0; out_inf <= 0; out_0 <= 0; out_1 <= 0; out_2 <= 0; end else if (enable) begin in_et_zero <= !(|in_except[62:0]); opa_et_zero <= !(|opa[62:0]); opb_et_zero <= !(|opb[62:0]); input_et_zero <= !(|in_except[62:0]); add <= fpu_op == 3'b000; subtract <= fpu_op == 3'b001; multiply <= fpu_op == 3'b010; divide <= fpu_op == 3'b011; opa_QNaN <= (opa[62:52] == 2047) & |opa[51:0] & opa[51]; opb_QNaN <= (opb[62:52] == 2047) & |opb[51:0] & opb[51]; opa_SNaN <= (opa[62:52] == 2047) & |opa[51:0] & !opa[51]; opb_SNaN <= (opb[62:52] == 2047) & |opb[51:0] & !opb[51]; opa_pos_inf <= !opa[63] & (opa[62:52] == 2047) & !(|opa[51:0]); opb_pos_inf <= !opb[63] & (opb[62:52] == 2047) & !(|opb[51:0]); opa_neg_inf <= opa[63] & (opa[62:52] == 2047) & !(|opa[51:0]); opb_neg_inf <= opb[63] & (opb[62:52] == 2047) & !(|opb[51:0]); opa_inf <= (opa[62:52] == 2047) & !(|opa[51:0]); opb_inf <= (opb[62:52] == 2047) & !(|opb[51:0]); NaN_input <= opa_QNaN | opb_QNaN | opa_SNaN | opb_SNaN; SNaN_input <= opa_SNaN | opb_SNaN; a_NaN <= opa_QNaN | opa_SNaN; div_by_0 <= divide & opb_et_zero & !opa_et_zero; div_0_by_0 <= divide & opb_et_zero & opa_et_zero; div_inf_by_inf <= divide & opa_inf & opb_inf; div_by_inf <= divide & !opa_inf & opb_inf; mul_0_by_inf <= multiply & ((opa_inf & opb_et_zero) | (opa_et_zero & opb_inf)); mul_inf <= multiply & (opa_inf | opb_inf) & !mul_0_by_inf; div_inf <= divide & opa_inf & !opb_inf; add_inf <= (add & (opa_inf | opb_inf)); sub_inf <= (subtract & (opa_inf | opb_inf)); addsub_inf_invalid <= (add & opa_pos_inf & opb_neg_inf) | (add & opa_neg_inf & opb_pos_inf) | (subtract & opa_pos_inf & opb_pos_inf) | (subtract & opa_neg_inf & opb_neg_inf); addsub_inf <= (add_inf | sub_inf) & !addsub_inf_invalid; out_inf_trigger <= addsub_inf | mul_inf | div_inf | div_by_0 | (exponent_in > 2046); out_pos_inf <= out_inf_trigger & !in_except[63]; out_neg_inf <= out_inf_trigger & in_except[63]; round_nearest <= (rmode == 2'b00); round_to_zero <= (rmode == 2'b01); round_to_pos_inf <= (rmode == 2'b10); round_to_neg_inf <= (rmode == 2'b11); inf_round_down_trigger <= (out_pos_inf & round_to_neg_inf) | (out_neg_inf & round_to_pos_inf) | (out_inf_trigger & round_to_zero); mul_uf <= multiply & !opa_et_zero & !opb_et_zero & in_et_zero; div_uf <= divide & !opa_et_zero & in_et_zero; underflow_trigger <= div_by_inf | mul_uf | div_uf; invalid_trigger <= SNaN_input | addsub_inf_invalid | mul_0_by_inf | div_0_by_0 | div_inf_by_inf; overflow_trigger <= out_inf_trigger & !NaN_input; inexact_trigger <= (|mantissa_in[1:0] | out_inf_trigger | underflow_trigger) & !NaN_input; except_trigger <= invalid_trigger | overflow_trigger | underflow_trigger | inexact_trigger; enable_trigger <= except_trigger | out_inf_trigger | NaN_input; NaN_out_trigger <= NaN_input | invalid_trigger; SNaN_trigger <= invalid_trigger & !SNaN_input; NaN_output_0 <= a_NaN ? { exp_2047, 1'b1, opa[50:0]} : { exp_2047, 1'b1, opb[50:0]}; NaN_output <= SNaN_trigger ? { exp_2047, 2'b01, opa[49:0]} : NaN_output_0; inf_round_down <= { exp_2046, mantissa_max }; out_inf <= inf_round_down_trigger ? inf_round_down : { exp_2047, 52'b0 }; out_0 <= underflow_trigger ? { in_except[63], 63'b0 } : in_except; out_1 <= out_inf_trigger ? { in_except[63], out_inf } : out_0; out_2 <= NaN_out_trigger ? { in_except[63], NaN_output} : out_1; end end always @(posedge clk) begin if (rst) begin ex_enable <= 0; underflow <= 0; overflow <= 0; inexact <= 0; exception <= 0; invalid <= 0; out <= 0; end else if (enable) begin ex_enable <= enable_trigger; underflow <= underflow_trigger; overflow <= overflow_trigger; inexact <= inexact_trigger; exception <= except_trigger; invalid <= invalid_trigger; out <= out_2; end end endmodule