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570 lines
20 KiB
Verilog
570 lines
20 KiB
Verilog
// NII Core Surface Driver - FPGA Bitstream
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// Based on Canonical Core v1 architecture
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// Layer 6: Steady-State Stability (SSS) monitoring
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// Layer 7: Alcubierre Information Metric
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// FAMM-aware scheduling
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// Topological state management
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// Q16.16 fixed-point arithmetic
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`timescale 1ns / 1ps
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// ═══════════════════════════════════════════════════════════════════════════
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// Q16.16 Fixed-Point Arithmetic
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// ═══════════════════════════════════════════════════════════════════════════
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module q16_16_add (
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input [15:0] a,
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input [15:0] b,
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output [15:0] sum
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);
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assign sum = a + b;
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endmodule
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module q16_16_sub (
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input [15:0] a,
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input [15:0] b,
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output [15:0] diff
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);
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assign diff = a - b;
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endmodule
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module q16_16_mul (
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input [15:0] a,
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input [15:0] b,
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output [15:0] product
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);
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wire [31:0] temp;
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assign temp = a * b;
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assign product = temp[30:15]; // Extract Q16.16 result
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endmodule
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module q16_16_div (
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input [15:0] numerator,
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input [15:0] denominator,
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output [15:0] quotient
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);
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wire [31:0] temp;
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assign temp = (numerator << 16) / denominator;
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assign quotient = temp[15:0];
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endmodule
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module q16_16_compare (
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input [15:0] a,
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input [15:0] b,
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output lt,
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output eq,
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output gt
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);
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assign lt = (a < b);
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assign eq = (a == b);
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assign gt = (a > b);
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endmodule
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// ═══════════════════════════════════════════════════════════════════════════
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// SSS Monitor Module - Layer 6
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// ═══════════════════════════════════════════════════════════════════════════
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module sss_monitor (
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input wire clk,
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input wire reset_n,
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input wire [15:0] routing_load, // L_R
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input wire [15:0] memory_load, // L_M
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input wire [15:0] extraneous_weight, // λ_E
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input wire [15:0] engram_length, // ℓ
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input wire [15:0] extraneous_gradient, // ‖∇L_E‖
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input wire [15:0] heel_dig_limit, // σ_sys
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output wire [15:0] sss_constant,
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output wire slip_threshold_crossed,
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output wire mode_survival_trigger
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);
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// Counter-torque: L_R + L_M
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wire [15:0] counter_torque;
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q16_16_add counter_torque_inst (
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.a(routing_load),
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.b(memory_load),
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.sum(counter_torque)
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);
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// Torsional term: λ_E · ℓ · ‖∇L_E‖
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wire [15:0] temp1;
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wire [15:0] torsional_term;
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q16_16_mul mul1_inst (
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.a(extraneous_weight),
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.b(engram_length),
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.product(temp1)
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);
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q16_16_mul mul2_inst (
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.a(temp1),
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.b(extraneous_gradient),
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.product(torsional_term)
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);
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// SSS constant: counter_torque - torsional_term
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q16_16_sub sss_inst (
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.a(counter_torque),
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.b(torsional_term),
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.diff(sss_constant)
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);
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// Slip threshold: Φ_sss < -σ_sys
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wire [15:0] negative_heel_dig;
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assign negative_heel_dig = -heel_dig_limit;
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wire sss_lt_threshold;
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q16_16_compare compare_inst (
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.a(sss_constant),
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.b(negative_heel_dig),
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.lt(sss_lt_threshold),
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.eq(),
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.gt()
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);
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// Register slip threshold crossing
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reg slip_crossed_reg;
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always @(posedge clk or negedge reset_n) begin
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if (!reset_n) begin
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slip_crossed_reg <= 1'b0;
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end else begin
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slip_crossed_reg <= sss_lt_threshold;
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end
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end
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assign slip_threshold_crossed = slip_crossed_reg;
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// MODE_SURVIVAL trigger (with hysteresis)
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reg [3:0] slip_counter;
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always @(posedge clk or negedge reset_n) begin
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if (!reset_n) begin
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slip_counter <= 4'h0;
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end else if (sss_lt_threshold) begin
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if (slip_counter < 4'hF)
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slip_counter <= slip_counter + 4'h1;
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end else begin
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slip_counter <= 4'h0;
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end
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end
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assign mode_survival_trigger = (slip_counter >= 4'h8); // 8 consecutive crossings
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endmodule
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// ═══════════════════════════════════════════════════════════════════════════
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// Sigmoid Function (Q16.16) - Piecewise Linear Approximation
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// ═══════════════════════════════════════════════════════════════════════════
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module sigmoid_q16_16 (
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input wire [15:0] x,
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output wire [15:0] y
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);
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// Piecewise linear approximation for sigmoid
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// sigmoid(x) ≈ 0 for x < -5, 1 for x > 5, (x+5)/10 otherwise
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wire x_lt_neg5, x_gt_pos5;
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wire [15:0] x_plus_5, x_div_10;
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assign x_lt_neg5 = (x < 16'h8000); // -5.0 in Q16.16
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assign x_gt_pos5 = (x > 16'h5000); // 5.0 in Q16.16
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q16_16_add add_inst (
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.a(x),
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.b(16'h5000), // 5.0
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.sum(x_plus_5)
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);
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q16_16_div div_inst (
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.numerator(x_plus_5),
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.denominator(16'hA000), // 10.0
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.quotient(x_div_10)
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);
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assign y = x_lt_neg5 ? 16'h0000 : (x_gt_pos5 ? 16'hFFFF : x_div_10);
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endmodule
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// ═══════════════════════════════════════════════════════════════════════════
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// Warp Metric Module - Layer 7
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// ═══════════════════════════════════════════════════════════════════════════
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module virtual_warp_metric (
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input wire clk,
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input wire reset_n,
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input wire [15:0] kappa, // κ
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input wire [15:0] sss_constant,
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input wire [15:0] opcode_efficacy, // Ω_opcode
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input wire [15:0] local_velocity,
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input wire [15:0] coherence, // φ
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input wire [15:0] proper_time, // dτ
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input wire [15:0] entropy_displacement, // dH
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output wire [15:0] virtual_warp_value, // f(x_i)
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output wire [15:0] effective_velocity,
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output wire [15:0] virtual_warp_metric_value
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);
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// Warp function: f(x_i) = sigmoid(-κ·Φ_sss) · Ω_opcode
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wire [15:0] neg_kappa_sss;
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q16_16_mul mul_kappa_inst (
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.a(-kappa),
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.b(sss_constant),
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.product(neg_kappa_sss)
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);
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sigmoid_q16_16 sigmoid_inst (
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.x(neg_kappa_sss),
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.y(virtual_warp_value)
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);
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wire [15:0] virtual_warp_final;
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q16_16_mul mul_warp_inst (
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.a(virtual_warp_value),
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.b(opcode_efficacy),
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.product(virtual_warp_final)
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);
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// Effective velocity: v_eff = v_local / (1 - φ)
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wire [15:0] one_minus_coherence;
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wire [15:0] denominator;
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q16_16_sub sub_coherence_inst (
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.a(16'hFFFF), // 1.0
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.b(coherence),
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.diff(one_minus_coherence)
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);
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// Avoid division by zero
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assign denominator = (one_minus_coherence == 16'h0000) ? 16'hFFFF : one_minus_coherence;
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q16_16_div div_velocity_inst (
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.numerator(local_velocity),
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.denominator(denominator),
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.quotient(effective_velocity)
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);
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// Warp metric: dI² = -dτ² + (dH - v_eff · f · Ω · dτ)²
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wire [15:0] time_term;
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wire [15:0] space_term_inner;
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wire [15:0] space_term;
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wire [15:0] warp_coupling; // f · Ω
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q16_16_mul mul_time_inst (
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.a(-proper_time),
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.b(proper_time),
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.product(time_term)
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);
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assign virtual_warp_coupling = virtual_warp_final;
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wire [15:0] v_eff_warp_dtau;
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q16_16_mul mul_space1_inst (
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.a(effective_velocity),
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.b(virtual_warp_coupling),
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.product(v_eff_warp_dtau)
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);
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q16_16_mul mul_space2_inst (
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.a(v_eff_warp_dtau),
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.b(proper_time),
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.product(space_term_inner)
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);
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q16_16_sub sub_space_inst (
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.a(entropy_displacement),
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.b(space_term_inner),
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.diff(space_term)
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);
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q16_16_mul mul_space_final_inst (
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.a(space_term),
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.b(space_term),
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.product(virtual_warp_metric_value)
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);
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endmodule
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// ═══════════════════════════════════════════════════════════════════════════
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// FAMM Scheduler Module
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// ═══════════════════════════════════════════════════════════════════════════
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module famm_scheduler (
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input wire clk,
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input wire reset_n,
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input wire [15:0] torsional_stress, // Σ²
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input wire [15:0] interlocking_energy, // I_lock
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input wire [15:0] laplacian_energy, // Δϕ
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output wire [15:0] famm_load,
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output wire [1:0] schedule_decision // 00: execute, 01: throttle, 10: defer
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);
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// FAMM load: Σ² + I_lock + Δϕ
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wire [15:0] temp1;
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q16_16_add add1_inst (
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.a(torsional_stress),
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.b(interlocking_energy),
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.sum(temp1)
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);
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q16_16_add add2_inst (
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.a(temp1),
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.b(laplacian_energy),
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.sum(famm_load)
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);
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// Scheduling decision based on load thresholds
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wire load_lt_025, load_lt_050;
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assign load_lt_025 = (famm_load < 16'h4000); // 0.25
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assign load_lt_050 = (famm_load < 16'h8000); // 0.5
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// Combinational scheduling decision
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assign schedule_decision = load_lt_025 ? 2'b00 : (load_lt_050 ? 2'b01 : 2'b10);
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endmodule
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// ═══════════════════════════════════════════════════════════════════════════
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// Topological Adapter Module
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// ═══════════════════════════════════════════════════════════════════════════
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module topological_adapter (
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input wire clk,
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input wire reset_n,
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input wire [15:0] cognitive_load,
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output wire [1:0] topology_metric // 00: relational, 01: semantic, 10: topological, 11: minimal
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);
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// Topology adaptation based on cognitive load
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wire load_lt_025, load_lt_050, load_lt_075;
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assign load_lt_025 = (cognitive_load < 16'h4000); // 0.25
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assign load_lt_050 = (cognitive_load < 16'h8000); // 0.5
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assign load_lt_075 = (cognitive_load < 16'hC000); // 0.75
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// Combinational topology selection
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assign topology_metric = load_lt_025 ? 2'b00 : (load_lt_050 ? 2'b01 : (load_lt_075 ? 2'b10 : 2'b11));
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endmodule
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// ═══════════════════════════════════════════════════════════════════════════
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// Complete NII Surface Driver
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// ═══════════════════════════════════════════════════════════════════════════
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module nii_surface_driver (
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input wire clk,
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input wire reset_n,
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// SSS inputs
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input wire [15:0] routing_load,
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input wire [15:0] memory_load,
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input wire [15:0] extraneous_weight,
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input wire [15:0] engram_length,
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input wire [15:0] extraneous_gradient,
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input wire [15:0] heel_dig_limit,
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// Warp metric inputs
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input wire [15:0] kappa,
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input wire [15:0] opcode_efficacy,
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input wire [15:0] local_velocity,
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input wire [15:0] coherence,
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input wire [15:0] proper_time,
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input wire [15:0] entropy_displacement,
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// FAMM inputs
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input wire [15:0] torsional_stress,
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input wire [15:0] interlocking_energy,
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input wire [15:0] laplacian_energy,
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// Topological input
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input wire [15:0] cognitive_load,
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// Outputs
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output wire [15:0] sss_constant_out,
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output wire slip_threshold_crossed,
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output wire mode_survival_trigger,
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output wire [15:0] virtual_warp_value_out,
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output wire [15:0] effective_velocity_out,
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output wire [15:0] virtual_warp_metric_out,
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output wire [15:0] famm_load_out,
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output wire [1:0] schedule_decision_out,
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output wire [1:0] topology_metric_out
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);
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// SSS monitor instance
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wire [15:0] sss_constant_wire;
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sss_monitor sss_inst (
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.clk(clk),
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.reset_n(reset_n),
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.routing_load(routing_load),
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.memory_load(memory_load),
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.extraneous_weight(extraneous_weight),
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.engram_length(engram_length),
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.extraneous_gradient(extraneous_gradient),
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.heel_dig_limit(heel_dig_limit),
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.sss_constant(sss_constant_wire),
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.slip_threshold_crossed(slip_threshold_crossed),
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.mode_survival_trigger(mode_survival_trigger)
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);
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assign sss_constant_out = sss_constant_wire;
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// Warp metric instance
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wire [15:0] warp_value_wire;
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wire [15:0] effective_velocity_wire;
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wire [15:0] warp_metric_wire;
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virtual_warp_metric virtual_warp_inst (
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.clk(clk),
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.reset_n(reset_n),
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.kappa(kappa),
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.sss_constant(sss_constant_wire),
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.opcode_efficacy(opcode_efficacy),
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.local_velocity(local_velocity),
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.coherence(coherence),
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.proper_time(proper_time),
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.entropy_displacement(entropy_displacement),
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.virtual_warp_value(virtual_warp_value_wire),
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.effective_velocity(effective_velocity_wire),
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.virtual_warp_metric_value(virtual_warp_metric_wire)
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);
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assign virtual_warp_value_out = virtual_warp_value_wire;
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assign effective_velocity_out = effective_velocity_wire;
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assign virtual_warp_metric_out = virtual_warp_metric_wire;
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// FAMM scheduler instance
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wire [15:0] famm_load_wire;
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wire [1:0] schedule_decision_wire;
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famm_scheduler famm_inst (
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.clk(clk),
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.reset_n(reset_n),
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.torsional_stress(torsional_stress),
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.interlocking_energy(interlocking_energy),
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.laplacian_energy(laplacian_energy),
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.famm_load(famm_load_wire),
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.schedule_decision(schedule_decision_wire)
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);
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assign famm_load_out = famm_load_wire;
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assign schedule_decision_out = schedule_decision_wire;
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// Topological adapter instance
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wire [1:0] topology_metric_wire;
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topological_adapter topo_inst (
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.clk(clk),
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.reset_n(reset_n),
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.cognitive_load(cognitive_load),
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.topology_metric(topology_metric_wire)
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);
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assign topology_metric_out = topology_metric_wire;
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endmodule
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// ═══════════════════════════════════════════════════════════════════════════
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// Testbench
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// ═══════════════════════════════════════════════════════════════════════════
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module nii_surface_driver_tb;
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reg clk;
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reg reset_n;
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// SSS inputs
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reg [15:0] routing_load;
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reg [15:0] memory_load;
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reg [15:0] extraneous_weight;
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reg [15:0] engram_length;
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reg [15:0] extraneous_gradient;
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reg [15:0] heel_dig_limit;
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// Warp metric inputs
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reg [15:0] kappa;
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reg [15:0] opcode_efficacy;
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reg [15:0] local_velocity;
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reg [15:0] coherence;
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reg [15:0] proper_time;
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reg [15:0] entropy_displacement;
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// FAMM inputs
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reg [15:0] torsional_stress;
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reg [15:0] interlocking_energy;
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reg [15:0] laplacian_energy;
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// Topological input
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reg [15:0] cognitive_load;
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// Outputs
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wire [15:0] sss_constant_out;
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wire slip_threshold_crossed;
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wire mode_survival_trigger;
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wire [15:0] virtual_warp_value_out;
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wire [15:0] effective_velocity_out;
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wire [15:0] virtual_warp_metric_out;
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wire [15:0] famm_load_out;
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wire [1:0] schedule_decision_out;
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wire [1:0] topology_metric_out;
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// Instantiate DUT
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nii_surface_driver dut (
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.clk(clk),
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||
.reset_n(reset_n),
|
||
.routing_load(routing_load),
|
||
.memory_load(memory_load),
|
||
.extraneous_weight(extraneous_weight),
|
||
.engram_length(engram_length),
|
||
.extraneous_gradient(extraneous_gradient),
|
||
.heel_dig_limit(heel_dig_limit),
|
||
.kappa(kappa),
|
||
.opcode_efficacy(opcode_efficacy),
|
||
.local_velocity(local_velocity),
|
||
.coherence(coherence),
|
||
.proper_time(proper_time),
|
||
.entropy_displacement(entropy_displacement),
|
||
.torsional_stress(torsional_stress),
|
||
.interlocking_energy(interlocking_energy),
|
||
.laplacian_energy(laplacian_energy),
|
||
.cognitive_load(cognitive_load),
|
||
.sss_constant_out(sss_constant_out),
|
||
.slip_threshold_crossed(slip_threshold_crossed),
|
||
.mode_survival_trigger(mode_survival_trigger),
|
||
.virtual_warp_value_out(virtual_warp_value_out),
|
||
.effective_velocity_out(effective_velocity_out),
|
||
.virtual_warp_metric_out(virtual_warp_metric_out),
|
||
.famm_load_out(famm_load_out),
|
||
.schedule_decision_out(schedule_decision_out),
|
||
.topology_metric_out(topology_metric_out)
|
||
);
|
||
|
||
// Clock generation (50MHz)
|
||
initial clk = 0;
|
||
always #10 clk = ~clk;
|
||
|
||
// Test stimulus
|
||
initial begin
|
||
// Initialize inputs
|
||
reset_n = 0;
|
||
routing_load = 16'h8000; // 1.0 (assuming Q1.15 or similar)
|
||
memory_load = 16'h6000; // 0.75
|
||
extraneous_weight = 16'h4000; // 0.5
|
||
engram_length = 16'h3000; // 0.375
|
||
extraneous_gradient = 16'h1000; // 0.125
|
||
heel_dig_limit = 16'h4000; // 0.5
|
||
|
||
kappa = 16'h8000; // 1.0
|
||
opcode_efficacy = 16'h7FFF; // 1.0
|
||
local_velocity = 16'h8000; // 1.0
|
||
coherence = 16'h6000; // 0.75
|
||
proper_time = 16'h0500; // small dt
|
||
entropy_displacement = 16'h1000;
|
||
|
||
torsional_stress = 16'h8000;
|
||
interlocking_energy = 16'h4000;
|
||
laplacian_energy = 16'h2000;
|
||
|
||
cognitive_load = 16'h0000; // 0.0
|
||
|
||
#20;
|
||
reset_n = 1;
|
||
|
||
#100;
|
||
$display("SSS Constant: %h", sss_constant_out);
|
||
$display("Slip Threshold Crossed: %b", slip_threshold_crossed);
|
||
$display("Virtual Warp Value: %h", virtual_warp_value_out);
|
||
$display("Effective Velocity: %h", effective_velocity_out);
|
||
$display("Virtual Warp Metric: %h", virtual_warp_metric_out);
|
||
$display("FAMM Load: %h", famm_load_out);
|
||
$display("Schedule Decision: %b", schedule_decision_out);
|
||
$display("Topology Metric: %b", topology_metric_out);
|
||
|
||
#100;
|
||
cognitive_load = 16'h8000; // 0.5 - trigger topology change
|
||
#100;
|
||
$display("Topology Metric after load: %b", topology_metric_out);
|
||
|
||
#100;
|
||
$finish;
|
||
end
|
||
endmodule
|