module MetaManifoldProver #( parameter DATA_WIDTH = 32, parameter ADDR_WIDTH = 8 )( input wire clk, input wire rst_n, // Control interface input wire start, output reg busy, output reg done, // Operation select input wire [2:0] op_select, // 000: MassLe, 001: TorusDist, 010: MengerHash, 011: FoldEnergy, 100: SurfaceCheck // Mass Number gate inputs (Q16_16) input wire signed [DATA_WIDTH-1:0] admissible, input wire signed [DATA_WIDTH-1:0] residual, input wire signed [DATA_WIDTH-1:0] threshold, output reg mass_le_result, // Torus topology inputs (simplified) input wire [7:0] coord1, input wire [7:0] coord2, output reg [11:0] torus_distance, // Fold energy inputs (Q16_16) input wire signed [DATA_WIDTH-1:0] torus_energy, input wire signed [DATA_WIDTH-1:0] menger_energy, input wire signed [DATA_WIDTH-1:0] alpha, input wire signed [DATA_WIDTH-1:0] beta, output reg signed [DATA_WIDTH-1:0] fold_energy_total ); // Fixed-point multiplication (Q16.16) function signed [63:0] q16_mul; input signed [31:0] a; input signed [31:0] b; reg signed [63:0] product; begin product = a * b; q16_mul = product >>> 16; end endfunction // Fixed-point comparison function q16_le; input signed [31:0] a; input signed [31:0] b; begin q16_le = (a <= b); end endfunction // Internal registers reg signed [31:0] residual_plus_epsilon; reg signed [63:0] threshold_times_residual; reg signed [31:0] threshold_times_residual_q16; reg [7:0] dim1[0:4]; reg [7:0] dim2[0:4]; reg [7:0] dim_diff[0:4]; reg [7:0] dim_wrapped[0:4]; reg [7:0] dim_min[0:4]; reg [11:0] torus_sum; reg signed [63:0] torus_weighted; reg signed [63:0] menger_weighted; reg signed [63:0] fold_sum; reg mass_condition; reg surface_condition; // State machine reg [2:0] state; localparam IDLE = 3'd0; localparam MASS_LE = 3'd1; localparam TORUS_DIST = 3'd2; localparam FOLD_ENERGY = 3'd3; // State machine always @(posedge clk or negedge rst_n) begin if (!rst_n) begin state <= IDLE; busy <= 1'b0; done <= 1'b0; mass_le_result <= 1'b0; torus_distance <= 12'd0; fold_energy_total <= 32'd0; end else begin case (state) IDLE: begin if (start) begin state <= op_select; busy <= 1'b1; done <= 1'b0; end end MASS_LE: begin // Calculate: admissible <= residual * threshold residual_plus_epsilon <= residual + 32'h00010000; // +1.0 in Q16.16 threshold_times_residual <= q16_mul(threshold, residual_plus_epsilon); threshold_times_residual_q16 <= threshold_times_residual[31:16]; mass_condition = q16_le(32'd0, threshold_times_residual_q16); mass_le_result <= mass_condition; state <= IDLE; done <= 1'b1; busy <= 1'b0; end TORUS_DIST: begin // Calculate Manhattan distance (simplified 8-bit coords) dim1[0] = coord1[1:0]; dim1[1] = coord1[3:2]; dim1[2] = coord1[5:4]; dim1[3] = coord1[7:6]; dim1[4] = 8'd0; dim2[0] = coord2[1:0]; dim2[1] = coord2[3:2]; dim2[2] = coord2[5:4]; dim2[3] = coord2[7:6]; dim2[4] = 8'd0; dim_diff[0] = (dim1[0] >= dim2[0]) ? (dim1[0] - dim2[0]) : (dim2[0] - dim1[0]); dim_diff[1] = (dim1[1] >= dim2[1]) ? (dim1[1] - dim2[1]) : (dim2[1] - dim1[1]); dim_diff[2] = (dim1[2] >= dim2[2]) ? (dim1[2] - dim2[2]) : (dim2[2] - dim1[2]); dim_diff[3] = (dim1[3] >= dim2[3]) ? (dim1[3] - dim2[3]) : (dim2[3] - dim1[3]); dim_diff[4] = 8'd0; torus_sum = dim_diff[0] + dim_diff[1] + dim_diff[2] + dim_diff[3]; torus_distance <= torus_sum; state <= IDLE; done <= 1'b1; busy <= 1'b0; end FOLD_ENERGY: begin // Calculate weighted sum: alpha*E_torus + beta*E_menger torus_weighted = q16_mul(alpha, torus_energy); menger_weighted = q16_mul(beta, menger_energy); fold_sum = torus_weighted + menger_weighted; fold_energy_total <= fold_sum[31:16]; state <= IDLE; done <= 1'b1; busy <= 1'b0; end default: begin state <= IDLE; busy <= 1'b0; done <= 1'b1; end endcase end end endmodule