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123 lines
5.3 KiB
Verilog
123 lines
5.3 KiB
Verilog
// s3c_core.v — Shared S3C core modules
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// Included by s3c_manifold_fpga.v and mode_multiplexed_dsp_slice.v
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`ifndef S3C_CORE_V
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`define S3C_CORE_V
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// ═══════════════════════════════════════════════════════════════════════════
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// S3C Shell Decomposition: n = k^2 + a
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// Computes shell coordinates for integer decomposition
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// ═══════════════════════════════════════════════════════════════════════════
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module s3c_shell_decomposition (
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input wire [15:0] n, // Input sample (unsigned 16-bit)
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output reg [15:0] k, // Shell index (coarse handle)
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output reg [15:0] a, // Lower offset (medium handle)
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output reg [15:0] b, // Upper offset (fine handle)
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output reg [31:0] mass, // Intersection form a*b
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output reg [15:0] width // Shell width = 2k+1 = a+b+1
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);
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// Compute k = floor(sqrt(n))
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// OPTIMIZATION: Use lookup table for sqrt (smaller than hardware sqrt)
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// For 16-bit input, we can use a 256-entry lookup table for sqrt of 0-65535
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// Simplified sqrt approximation using binary search
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reg [15:0] sqrt_result;
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reg [15:0] sqrt_low;
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reg [15:0] sqrt_high;
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reg [15:0] sqrt_mid;
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reg [15:0] sqrt_sq;
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integer i;
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always @(*) begin
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sqrt_low = 0;
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sqrt_high = 16'd256; // sqrt(65536) = 256
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sqrt_result = 0;
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// Binary search for sqrt
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for (i = 0; i < 8; i = i + 1) begin
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sqrt_mid = (sqrt_low + sqrt_high) >> 1;
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sqrt_sq = sqrt_mid * sqrt_mid;
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if (sqrt_sq < n) begin
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sqrt_low = sqrt_mid + 1;
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end else begin
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sqrt_high = sqrt_mid;
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end
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end
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sqrt_result = sqrt_low - 1;
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if (sqrt_result > 255) sqrt_result = 255;
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end
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// Compute k, a, b, mass, width
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reg [31:0] k_sq;
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reg [31:0] k1_sq;
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always @(*) begin
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k = sqrt_result;
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k_sq = k * k;
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a = n - k_sq[15:0];
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k1_sq = (k + 1) * (k + 1);
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b = k1_sq[15:0] - n;
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mass = a * b;
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width = a + b + 1;
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end
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endmodule
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// ═══════════════════════════════════════════════════════════════════════════
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// S3C J-Score Calculation
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// J(n) = ab*F_m + (a-b)*F_p + <chi, F_c>
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// ═══════════════════════════════════════════════════════════════════════════
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module s3c_j_score (
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input wire [15:0] handleK,
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input wire [15:0] handleA,
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input wire [15:0] handleB,
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output wire [31:0] massResonance, // ab*F_m
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output wire [31:0] mirrorResonance, // (a-b)*F_p
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output wire [31:0] spectralCoupling, // <chi, F_c>
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output wire [31:0] total // J(n)
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);
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wire [31:0] ab;
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wire [15:0] a_minus_b;
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wire [31:0] abs_a_minus_b;
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assign ab = handleA * handleB;
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assign a_minus_b = (handleA >= handleB) ? (handleA - handleB) : (handleB - handleA);
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assign abs_a_minus_b = {16'b0, a_minus_b};
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assign massResonance = ab;
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assign mirrorResonance = abs_a_minus_b;
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assign spectralCoupling = {16'b0, handleK};
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assign total = massResonance + mirrorResonance + spectralCoupling;
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endmodule
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// ═══════════════════════════════════════════════════════════════════════════
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// S3C 3-Point Contact Detection
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// Detects 3-point contact from manifold handles
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// ═══════════════════════════════════════════════════════════════════════════
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module s3c_three_point_contact (
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input wire [15:0] handleK,
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input wire [15:0] handleA,
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input wire [15:0] handleB,
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output wire kappaA, // Forward spectral prediction
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output wire kappaB, // Temporal midpoint
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output wire kappaC // Backward phase correction
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);
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assign kappaA = (handleA > 0);
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assign kappaB = (handleK > 0);
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assign kappaC = (handleB > 0);
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endmodule
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// ═══════════════════════════════════════════════════════════════════════════
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// S3C Emission Gate
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// Emit only if kappa_A AND kappa_C AND J > 0
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// ═══════════════════════════════════════════════════════════════════════════
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module s3c_emission_gate (
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input wire kappaA,
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input wire kappaC,
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input wire [31:0] jScore,
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output wire emit
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);
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assign emit = kappaA && kappaC && (jScore > 0);
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endmodule
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`endif
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