Research-Stack/4-Infrastructure/hardware/nii_surface_driver.v

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