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- //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
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