//IEEE Floating Point Adder (Single Precision) //Copyright (C) Jonathan P Dawson 2013 //2013-12-12 typedef enum logic [3:0] { add_unpack, add_special, add_align, add_0, add_1, add_norm_0, add_norm_1, add_round, add_pack, add_output, add_input } adder_state; module adder( clk, rst, input_a, input_b, input_stb, input_ack, output_z, output_z_stb, output_z_ack ); input clk; input rst; input [31:0] input_a; input [31:0] input_b; input input_stb; output input_ack; output [31:0] output_z; output output_z_stb; input output_z_ack; reg s_output_z_stb; reg [31:0] s_output_z; reg s_input_ack; adder_state state; reg [31:0] a, b, z; reg [26:0] a_m, b_m; reg [23:0] z_m; reg [9:0] a_e, b_e, z_e; reg a_s, b_s, z_s; reg guard, round_bit, sticky; reg [27:0] sum; always_ff @(posedge clk) begin case(state) // get_a: // begin // s_input_a_ack <= 1; // if (s_input_a_ack && input_a_stb) begin // a <= input_a; // s_input_a_ack <= 0; // state <= get_b; // end // end // get_b: // begin // s_input_b_ack <= 1; // if (s_input_b_ack && input_b_stb) begin // b <= input_b; // s_input_b_ack <= 0; // state <= unpack; // end // end add_input: begin s_input_ack <= 1; if (s_input_ack && input_stb) begin a <= input_a; b <= input_b; s_input_ack <= 0; state <= add_unpack; end end add_unpack: begin a_m <= {a[22 : 0], 3'd0}; b_m <= {b[22 : 0], 3'd0}; a_e <= a[30 : 23] - 127; b_e <= b[30 : 23] - 127; a_s <= a[31]; b_s <= b[31]; state <= add_special; end add_special: begin //if a is NaN return a if (a_e == 128 && a_m != 0) begin z <= {a_s, 8'hff, a[22], a[21:0]}; state <= add_output; end else if (b_e == 128 && b_m != 0) begin z <= {b_s, 8'hff, b[22:0]}; state <= add_output; //if a is inf return inf end else if (a_e == 128 && a_m == 0) begin z[31] <= a_s; z[30:23] <= 255; z[22:0] <= 0; //if a is inf and signs don't match return nan if ((b_e == 128) && (a_s != b_s)) begin z[31] <= b_s; z[30:23] <= 255; z[22] <= 1; z[21:0] <= 0; end state <= add_output; //if b is inf return inf end else if (b_e == 128 && b_m == 0) begin z[31] <= b_s; z[30:23] <= 255; z[22:0] <= 0; state <= add_output; //if a is zero return b end else if ((($signed(a_e) == -127) && (a_m == 0)) && (($signed(b_e) == -127) && (b_m == 0))) begin z[31] <= a_s & b_s; z[30:23] <= b_e[7:0] + 127; z[22:0] <= b_m[26:3]; state <= add_output; //if a is zero return b end else if (($signed(a_e) == -127) && (a_m == 0)) begin z[31] <= b_s; z[30:23] <= b_e[7:0] + 127; z[22:0] <= b_m[26:3]; state <= add_output; //if b is zero return a end else if (($signed(b_e) == -127) && (b_m == 0)) begin z[31] <= a_s; z[30:23] <= a_e[7:0] + 127; z[22:0] <= a_m[26:3]; state <= add_output; end else begin //Denormalised Number if ($signed(a_e) == -127) begin a_e <= -126; end else begin a_m[26] <= 1; end //Denormalised Number if ($signed(b_e) == -127) begin b_e <= -126; end else begin b_m[26] <= 1; end state <= add_align; end end add_align: begin if ($signed(a_e) > $signed(b_e)) begin b_e <= b_e + 1; b_m <= b_m >> 1; b_m[0] <= b_m[0] | b_m[1]; end else if ($signed(a_e) < $signed(b_e)) begin a_e <= a_e + 1; a_m <= a_m >> 1; a_m[0] <= a_m[0] | a_m[1]; end else begin state <= add_0; end end add_0: begin z_e <= a_e; if (a_s == b_s) begin sum <= a_m + b_m; z_s <= a_s; end else begin if (a_m >= b_m) begin sum <= a_m - b_m; z_s <= a_s; end else begin sum <= b_m - a_m; z_s <= b_s; end end state <= add_1; end add_1: begin if (sum[27]) begin z_m <= sum[27:4]; guard <= sum[3]; round_bit <= sum[2]; sticky <= sum[1] | sum[0]; z_e <= z_e + 1; end else begin z_m <= sum[26:3]; guard <= sum[2]; round_bit <= sum[1]; sticky <= sum[0]; end state <= add_norm_0; end add_norm_0: begin if (z_m[23] == 0 && $signed(z_e) > -126) begin z_e <= z_e - 1; z_m <= z_m << 1; z_m[0] <= guard; guard <= round_bit; round_bit <= 0; end else begin state <= add_norm_1; end end add_norm_1: begin if ($signed(z_e) < -126) begin z_e <= z_e + 1; z_m <= z_m >> 1; guard <= z_m[0]; round_bit <= guard; sticky <= sticky | round_bit; end else begin state <= add_round; end end add_round: begin if (guard && (round_bit | sticky | z_m[0])) begin z_m <= z_m + 1; if (z_m == 24'hffffff) begin z_e <=z_e + 1; end end state <= add_pack; end add_pack: begin z[22 : 0] <= z_m[22:0]; z[30 : 23] <= z_e[7:0] + 127; z[31] <= z_s; if ($signed(z_e) == -126 && z_m[23] == 0) begin z[30 : 23] <= 0; end if ($signed(z_e) == -126 && z_m[23:0] == 24'h0) begin z[31] <= 1'b0; // FIX SIGN BUG: -a + a = +0. end //if overflow occurs, return inf if ($signed(z_e) > 127) begin z[22 : 0] <= 0; z[30 : 23] <= 255; z[31] <= z_s; end state <= add_output; end add_output: begin s_output_z_stb <= 1; s_output_z <= z; if (s_output_z_stb && output_z_ack) begin s_output_z_stb <= 0; state <= add_input; end end endcase if (rst == 1) begin state <= add_input; s_input_ack <= 0; s_output_z_stb <= 0; end end assign input_ack = s_input_ack; assign output_z_stb = s_output_z_stb; assign output_z = s_output_z; endmodule