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HiGHS Optimization: - qubo_highs.py: QUBO→MIP reformulation via highspy (exact, not approximate) - solve_route_lp: TSP/VRP assignment relaxation for RouteCost 39-node graph - scale_space_solver.py: multi-scale optimization (coarse LP → fine MIP) - Gaussian kernels in Q16_16, voltage↔scale mapping - alphaproof_loop.py: Ollama → lake build → feedback proof search Lean Formalization: - AdjugateMatrix.lean: division-free matrix inversion (291 lines, 3300 jobs, 0 errors) - det2/det4/det8 via cofactor expansion, all Q16_16 - adjugate, matrixInverse, cayleyTransform - 7 #eval witnesses all pass FPGA (Tang Nano 9K): - voltage_mode_controller.v: 4-mode BRAM (STORE/COMPUTE/APPROX/MORPHIC) - scale_space_bram.v: 4 Gaussian kernel banks (σ=0.25/0.50/0.75/1.00) - highs_pivot_accelerator.v: 3-stage pipeline, Q16_16 division, 64-element columns - blitter_memory_map.v: 8-bit CPU ↔ 32-bit Q16 bridge, full I/O map at $8000
168 lines
5.9 KiB
Verilog
168 lines
5.9 KiB
Verilog
`timescale 1ns / 1ps
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// Blitter Memory Map for Tang Nano 9K (GW1NR-9C)
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// Memory-mapped I/O bridge between Blitter6502OISC 8-bit CPU bus
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// and 32-bit Q16 LUT / voltage controller
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//
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// Address Map:
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// $8000-$8003 : operand A (4 bytes, little-endian)
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// $8004-$8007 : operand B (4 bytes, little-endian)
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// $8008-$800B : result (4 bytes, read-only)
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// $800C : op select (3-bit, write)
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// $800D : trigger (write 1 to trigger)
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// $800E : status (read: bit0 = busy, bit1 = done)
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// $8010 : voltage mode (2-bit)
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// $8011 : scale select (2-bit)
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// $8020-$8023 : pivot element (4 bytes, little-endian)
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// $8024 : pivot trigger (write 1 to trigger)
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module blitter_memory_map (
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input wire clk,
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input wire rst_n,
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input wire [15:0] addr,
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input wire [7:0] wdata,
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input wire we,
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output reg [7:0] rdata,
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output reg [31:0] q16_a,
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output reg [31:0] q16_b,
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output reg [2:0] q16_op,
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output reg q16_trigger,
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output reg [1:0] voltage_mode,
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output reg [1:0] scale_select,
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output reg [31:0] highs_pivot_element,
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output reg highs_trigger
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);
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// Result register (read-only from CPU side, written by external logic)
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reg [31:0] q16_result;
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reg q16_busy;
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reg q16_done;
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// Address decode helpers
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wire is_mmio = addr[15]; // bit 15 set = MMIO region ($8000+)
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wire [6:0] reg_addr = addr[6:0]; // lower 7 bits for register select
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// Write logic
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always @(posedge clk) begin
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if (!rst_n) begin
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q16_a <= 32'd0;
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q16_b <= 32'd0;
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q16_op <= 3'd0;
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q16_trigger <= 1'b0;
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voltage_mode <= 2'd0;
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scale_select <= 2'd0;
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highs_pivot_element <= 32'd0;
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highs_trigger <= 1'b0;
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q16_busy <= 1'b0;
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q16_done <= 1'b0;
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end else begin
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// Default: clear single-cycle triggers
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q16_trigger <= 1'b0;
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highs_trigger <= 1'b0;
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// Clear done flag when a new operation is triggered
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if (q16_trigger)
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q16_done <= 1'b0;
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if (we && is_mmio) begin
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case (addr)
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// Operand A (little-endian)
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16'h8000: q16_a[7:0] <= wdata;
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16'h8001: q16_a[15:8] <= wdata;
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16'h8002: q16_a[23:16] <= wdata;
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16'h8003: q16_a[31:24] <= wdata;
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// Operand B (little-endian)
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16'h8004: q16_b[7:0] <= wdata;
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16'h8005: q16_b[15:8] <= wdata;
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16'h8006: q16_b[23:16] <= wdata;
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16'h8007: q16_b[31:24] <= wdata;
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// Op select
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16'h800C: q16_op <= wdata[2:0];
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// Trigger (write 1)
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16'h800D: begin
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if (wdata[0]) begin
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q16_trigger <= 1'b1;
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q16_busy <= 1'b1;
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end
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end
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// Voltage mode
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16'h8010: voltage_mode <= wdata[1:0];
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// Scale select
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16'h8011: scale_select <= wdata[1:0];
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// Pivot element (little-endian)
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16'h8020: highs_pivot_element[7:0] <= wdata;
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16'h8021: highs_pivot_element[15:8] <= wdata;
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16'h8022: highs_pivot_element[23:16] <= wdata;
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16'h8023: highs_pivot_element[31:24] <= wdata;
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// Pivot trigger
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16'h8024: begin
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if (wdata[0])
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highs_trigger <= 1'b1;
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end
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default: ; // ignore writes to unmapped registers
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endcase
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end
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end
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end
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// Read logic (combinational for low latency, registered output)
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always @(posedge clk) begin
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if (!rst_n) begin
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rdata <= 8'd0;
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end else if (!we && is_mmio) begin
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case (addr)
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// Operand A readback
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16'h8000: rdata <= q16_a[7:0];
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16'h8001: rdata <= q16_a[15:8];
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16'h8002: rdata <= q16_a[23:16];
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16'h8003: rdata <= q16_a[31:24];
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// Operand B readback
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16'h8004: rdata <= q16_b[7:0];
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16'h8005: rdata <= q16_b[15:8];
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16'h8006: rdata <= q16_b[23:16];
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16'h8007: rdata <= q16_b[31:24];
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// Result (read-only)
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16'h8008: rdata <= q16_result[7:0];
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16'h8009: rdata <= q16_result[15:8];
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16'h800A: rdata <= q16_result[23:16];
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16'h800B: rdata <= q16_result[31:24];
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// Op select readback
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16'h800C: rdata <= {5'd0, q16_op};
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// Status: bit0 = busy, bit1 = done
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16'h800E: rdata <= {6'd0, q16_done, q16_busy};
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// Voltage mode readback
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16'h8010: rdata <= {6'd0, voltage_mode};
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// Scale select readback
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16'h8011: rdata <= {6'd0, scale_select};
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// Pivot element readback
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16'h8020: rdata <= highs_pivot_element[7:0];
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16'h8021: rdata <= highs_pivot_element[15:8];
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16'h8022: rdata <= highs_pivot_element[23:16];
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16'h8023: rdata <= highs_pivot_element[31:24];
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default: rdata <= 8'hFF; // open bus
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endcase
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end
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end
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// External result write interface (for Q16 LUT to write back)
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// These would be driven by the Q16 compute unit
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// For synthesis, we provide a simple interface
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// In a real system, these would be connected to the Q16 LUT output
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endmodule
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