// Morphic Scalar FPGA Implementation // Derived from Lean: Semantics/MorphicScalar.lean // Target: Lattice iCE40 HX8K / ECP5 // Q16.16 fixed-point arithmetic // Implements quantum-inspired computational stem cell `timescale 1ns / 1ps `include "state_definitions.vh" // ═══════════════════════════════════════════════════════════════════════════ // Q16.16 Fixed-Point Arithmetic (32-bit signed) // ═══════════════════════════════════════════════════════════════════════════ module q16_16_add ( input signed [31:0] a, input signed [31:0] b, output signed [31:0] sum, output overflow ); wire signed [32:0] ext = $signed({a[31], a}) + $signed({b[31], b}); assign overflow = (a[31] == b[31]) && (ext[32] != a[31]); assign sum = overflow ? (a[31] ? 32'sh80000000 : 32'sh7FFFFFFF) : ext[31:0]; endmodule module q16_16_mul ( input signed [31:0] a, input signed [31:0] b, output signed [31:0] product ); wire signed [63:0] full = $signed(a) * $signed(b); assign product = full[47:16]; // Q16.16 multiply: keep middle 32 bits endmodule module q16_16_div ( input signed [31:0] numerator, input signed [31:0] denominator, output signed [31:0] quotient ); assign quotient = (denominator == 0) ? 32'sh7FFFFFFF : $signed((($signed(numerator) <<< 16) / $signed(denominator))); endmodule module q16_16_compare ( input signed [31:0] a, input signed [31:0] b, output lt, output eq, output gt ); assign lt = (a < b); assign eq = (a == b); assign gt = (a > b); endmodule // ═══════════════════════════════════════════════════════════════════════════ // OEPI Calculation (Operator Escalation Percentage Index) // Derived from Lean: Semantics/OEPI.lean // OEPI = 0.25*uncertainty + 0.25*impact + 0.20*time_sensitivity + // 0.15*irreversibility + 0.15*live_voltage_risk // ═══════════════════════════════════════════════════════════════════════════ module oepi_calculator ( input signed [31:0] uncertainty, input signed [31:0] impact, input signed [31:0] time_sensitivity, input signed [31:0] irreversibility, input signed [31:0] live_voltage_risk, output signed [31:0] oepi_score ); // Weights in Q16.16 localparam signed [31:0] W_UNCERTAINTY = 32'sh00004000; // 0.25 localparam signed [31:0] W_IMPACT = 32'sh00004000; // 0.25 localparam signed [31:0] W_TIME = 32'sh00003333; // 0.20 localparam signed [31:0] W_IRREVERSIBLE = 32'sh00002666; // 0.15 localparam signed [31:0] W_VOLTAGE = 32'sh00002666; // 0.15 localparam signed [31:0] W_DIVISOR = 32'sh00019000; // 100.0 wire signed [31:0] w_uncertainty, w_impact, w_time, w_irreversible, w_voltage; wire signed [31:0] sum1, sum2, sum3, total; q16_16_mul mul_uncertainty (.a(uncertainty), .b(W_UNCERTAINTY), .product(w_uncertainty)); q16_16_mul mul_impact (.a(impact), .b(W_IMPACT), .product(w_impact)); q16_16_mul mul_time (.a(time_sensitivity), .b(W_TIME), .product(w_time)); q16_16_mul mul_irreversible (.a(irreversibility), .b(W_IRREVERSIBLE), .product(w_irreversible)); q16_16_mul mul_voltage (.a(live_voltage_risk), .b(W_VOLTAGE), .product(w_voltage)); q16_16_add add1 (.a(w_uncertainty), .b(w_impact), .sum(sum1), .overflow()); q16_16_add add2 (.a(sum1), .b(w_time), .sum(sum2), .overflow()); q16_16_add add3 (.a(sum2), .b(w_irreversible), .sum(sum3), .overflow()); q16_16_add add4 (.a(sum3), .b(w_voltage), .sum(total), .overflow()); q16_16_div div_normalizer (.a(total), .b(W_DIVISOR), .quotient(oepi_score)); endmodule // ═══════════════════════════════════════════════════════════════════════════ // OEPI Threshold Classifier // Derived from Lean: Semantics/OEPI.lean // ═══════════════════════════════════════════════════════════════════════════ module oepi_threshold_classifier ( input signed [31:0] oepi_score, output [1:0] threshold // 00=low, 01=medium, 10=critical ); localparam signed [31:0] THRESHOLD_MEDIUM = 32'sh00008C00; // 70.0 localparam signed [31:0] THRESHOLD_CRITICAL = 32'sh0000BE00; // 95.0 wire score_ge_medium, score_ge_critical; q16_16_compare cmp_medium (.a(oepi_score), .b(THRESHOLD_MEDIUM), .lt(), .eq(), .gt(score_ge_medium)); q16_16_compare cmp_critical (.a(oepi_score), .b(THRESHOLD_CRITICAL), .lt(), .eq(), .gt(score_ge_critical)); assign threshold = score_ge_critical ? 2'b10 : (score_ge_medium ? 2'b01 : 2'b00); endmodule // ═══════════════════════════════════════════════════════════════════════════ // Scalar State Machine // Derived from Lean: Semantics/MorphicScalar.lean // ═══════════════════════════════════════════════════════════════════════════ module scalar_state_machine ( input wire clk, input wire rst_n, input wire transition_trigger, input wire [3:0] target_state, input wire operator_available, output reg [3:0] current_state, output reg in_pool ); // State transition logic always @(posedge clk or negedge rst_n) begin if (!rst_n) begin current_state <= STATE_SUPERPOSED; in_pool <= 1'b1; end else if (transition_trigger) begin current_state <= target_state; // Update pool status based on state case (target_state) STATE_SUPERPOSED: in_pool <= 1'b1; STATE_SCOUTING: in_pool <= 1'b1; STATE_LOW_POWER_PASSIVE: in_pool <= 1'b1; default: in_pool <= 1'b0; endcase end else if (!operator_available && (current_state == STATE_OPERATOR_ALERT)) begin // Auto-transition to low power passive mode when operator unavailable current_state <= STATE_LOW_POWER_PASSIVE; end end endmodule // ═══════════════════════════════════════════════════════════════════════════ // Amplitude Update Module // Derived from Lean: Semantics/MorphicScalar.lean // amplitude(new) = amplitude(old) + delta // ═══════════════════════════════════════════════════════════════════════════ module amplitude_update ( input signed [31:0] amplitude_old, input signed [31:0] delta, output signed [31:0] amplitude_new ); q16_16_add update_inst (.a(amplitude_old), .b(delta), .sum(amplitude_new), .overflow()); endmodule // ═══════════════════════════════════════════════════════════════════════════ // Profile Collapse Selector // Derived from Lean: Semantics/MorphicScalar.lean // Collapse scalar into specific profile based on measurement // ═══════════════════════════════════════════════════════════════════════════ module profile_collapse ( input wire collapse_trigger, input wire [7:0] profile_id, // 8-bit profile ID output wire collapse_valid, output wire [7:0] collapsed_profile ); assign collapse_valid = collapse_trigger; assign collapsed_profile = profile_id; endmodule // ═══════════════════════════════════════════════════════════════════════════ // Morphic Scalar Top-Level Module // Integrates state machine, OEPI calculation, and amplitude updates // ═══════════════════════════════════════════════════════════════════════════ module morphic_scalar_top ( input wire clk, input wire rst_n, // State machine control input wire state_transition, input wire [3:0] target_state, input wire operator_available, // OEPI inputs input signed [31:0] uncertainty, input signed [31:0] impact, input signed [31:0] time_sensitivity, input signed [31:0] irreversibility, input signed [31:0] live_voltage_risk, // Amplitude update inputs input wire amplitude_update_trigger, input signed [31:0] amplitude_old, input signed [31:0] amplitude_delta, // Profile collapse inputs input wire collapse_trigger, input wire [7:0] profile_id, // Outputs output wire [3:0] scalar_state, output wire scalar_in_pool, output signed [31:0] oepi_output, output wire [1:0] oepi_threshold, output signed [31:0] amplitude_new, output wire collapse_valid, output wire [7:0] collapsed_profile ); // State machine instance wire [3:0] state_wire; wire pool_wire; scalar_state_machine state_machine_inst ( .clk(clk), .rst_n(rst_n), .transition_trigger(state_transition), .target_state(target_state), .operator_available(operator_available), .current_state(state_wire), .in_pool(pool_wire) ); assign scalar_state = state_wire; assign scalar_in_pool = pool_wire; // OEPI calculation instance wire signed [31:0] oepi_wire; oepi_calculator oepi_inst ( .uncertainty(uncertainty), .impact(impact), .time_sensitivity(time_sensitivity), .irreversibility(irreversibility), .live_voltage_risk(live_voltage_risk), .oepi_score(oepi_wire) ); assign oepi_output = oepi_wire; // OEPI threshold classification wire [1:0] threshold_wire; oepi_threshold_classifier threshold_inst ( .oepi_score(oepi_wire), .threshold(threshold_wire) ); assign oepi_threshold = threshold_wire; // Amplitude update instance wire signed [31:0] amplitude_wire; amplitude_update amplitude_inst ( .amplitude_old(amplitude_old), .delta(amplitude_delta), .amplitude_new(amplitude_wire) ); assign amplitude_new = amplitude_update_trigger ? amplitude_wire : amplitude_old; // Profile collapse instance wire collapse_valid_wire; wire [7:0] collapsed_profile_wire; profile_collapse collapse_inst ( .collapse_trigger(collapse_trigger), .profile_id(profile_id), .collapse_valid(collapse_valid_wire), .collapsed_profile(collapsed_profile_wire) ); assign collapse_valid = collapse_valid_wire; assign collapsed_profile = collapsed_profile_wire; endmodule // ═══════════════════════════════════════════════════════════════════════════ // Testbench // ═══════════════════════════════════════════════════════════════════════════ module morphic_scalar_tb; reg clk; reg rst_n; // State machine control reg state_transition; reg [3:0] target_state; reg operator_available; // OEPI inputs reg signed [31:0] uncertainty; reg signed [31:0] impact; reg signed [31:0] time_sensitivity; reg signed [31:0] irreversibility; reg signed [31:0] live_voltage_risk; // Amplitude update inputs reg amplitude_update_trigger; reg signed [31:0] amplitude_old; reg signed [31:0] amplitude_delta; // Profile collapse inputs reg collapse_trigger; reg [7:0] profile_id; // Outputs wire [3:0] scalar_state; wire scalar_in_pool; wire signed [31:0] oepi_output; wire [1:0] oepi_threshold; wire signed [31:0] amplitude_new; wire collapse_valid; wire [7:0] collapsed_profile; // Instantiate DUT morphic_scalar_top dut ( .clk(clk), .rst_n(rst_n), .state_transition(state_transition), .target_state(target_state), .operator_available(operator_available), .uncertainty(uncertainty), .impact(impact), .time_sensitivity(time_sensitivity), .irreversibility(irreversibility), .live_voltage_risk(live_voltage_risk), .amplitude_update_trigger(amplitude_update_trigger), .amplitude_old(amplitude_old), .amplitude_delta(amplitude_delta), .collapse_trigger(collapse_trigger), .profile_id(profile_id), .scalar_state(scalar_state), .scalar_in_pool(scalar_in_pool), .oepi_output(oepi_output), .oepi_threshold(oepi_threshold), .amplitude_new(amplitude_new), .collapse_valid(collapse_valid), .collapsed_profile(collapsed_profile) ); // Clock generation (50MHz) initial clk = 0; always #10 clk = ~clk; // Test stimulus initial begin // Initialize inputs rst_n = 0; state_transition = 0; target_state = 4'd0; operator_available = 1; uncertainty = 32'sh00008000; // 50.0 in Q16.16 impact = 32'sh00004E00; // 30.0 time_sensitivity = 32'sh00003333; // 20.0 irreversibility = 32'sh00001A00; // 10.0 live_voltage_risk = 32'sh00000D00; // 5.0 amplitude_update_trigger = 0; amplitude_old = 32'sh00008000; // 50.0 amplitude_delta = 32'sh00001000; // 10.0 collapse_trigger = 0; profile_id = 8'h01; #20; rst_n = 1; #100; $display("Initial State: %d", scalar_state); $display("In Pool: %b", scalar_in_pool); // Test OEPI calculation #100; $display("OEPI Score: %d", oepi_output); $display("OEPI Threshold: %b", oepi_threshold); // Test state transition #100; target_state = STATE_MEASURE_LOCAL_NEED; state_transition = 1; #20; state_transition = 0; #100; $display("State after transition: %d", scalar_state); // Test amplitude update #100; amplitude_update_trigger = 1; #20; amplitude_update_trigger = 0; #100; $display("Amplitude New: %d", amplitude_new); // Test profile collapse #100; collapse_trigger = 1; #20; collapse_trigger = 0; #100; $display("Collapse Valid: %b", collapse_valid); $display("Collapsed Profile: %d", collapsed_profile); // Test operator unavailable -> low power passive mode #100; target_state = STATE_OPERATOR_ALERT; state_transition = 1; #20; state_transition = 0; #100; $display("State after operator alert: %d", scalar_state); #50; operator_available = 0; #100; $display("State after operator unavailable: %d", scalar_state); #100; $finish; end endmodule