From 9939420e6ace1afde3a10d8daf58bfddf72a5545 Mon Sep 17 00:00:00 2001 From: Cursor Agent Date: Fri, 3 Jul 2026 01:58:55 +0000 Subject: [PATCH 1/5] Add recursive-partitioned FEOL/BEOL metal fill engine (C++) - Minimal GDSII reader/writer, polygon rasterization - Windowed density via summed-area tables - Keep-out dilation + per-window density-driven fill placement - Recursive quadtree partitioning with lattice-aligned cuts + halo context, merged by concatenation (verified equivalent to a global fill) - Gradient-aware iterative DRC-driven fill (min/max/gradient/spacing/min-area) - OpenMP-parallel across partitions; compute isolated behind FillBackend for a future CUDA/GPU backend - Tools: make_dummy_gds, run_fill, render_layer; unit + e2e tests Co-authored-by: Sethupathi Balakrishnan --- gpu_metal_fill/.gitignore | 4 + gpu_metal_fill/Makefile | 56 +++ gpu_metal_fill/README.md | 87 +++++ gpu_metal_fill/include/metalfill/backend.hpp | 42 ++ gpu_metal_fill/include/metalfill/density.hpp | 46 +++ gpu_metal_fill/include/metalfill/drc.hpp | 41 ++ gpu_metal_fill/include/metalfill/engine.hpp | 53 +++ gpu_metal_fill/include/metalfill/fill.hpp | 48 +++ gpu_metal_fill/include/metalfill/gdsii.hpp | 37 ++ gpu_metal_fill/include/metalfill/geometry.hpp | 63 +++ gpu_metal_fill/include/metalfill/layermap.hpp | 30 ++ .../include/metalfill/partition.hpp | 41 ++ gpu_metal_fill/include/metalfill/raster.hpp | 49 +++ gpu_metal_fill/include/metalfill/rules.hpp | 45 +++ gpu_metal_fill/src/backend_cpu.cpp | 58 +++ gpu_metal_fill/src/density.cpp | 82 ++++ gpu_metal_fill/src/drc.cpp | 97 +++++ gpu_metal_fill/src/engine.cpp | 360 ++++++++++++++++++ gpu_metal_fill/src/fill.cpp | 115 ++++++ gpu_metal_fill/src/gdsii.cpp | 231 +++++++++++ gpu_metal_fill/src/layermap.cpp | 91 +++++ gpu_metal_fill/src/partition.cpp | 91 +++++ gpu_metal_fill/src/raster.cpp | 80 ++++ gpu_metal_fill/tests/test_main.cpp | 241 ++++++++++++ gpu_metal_fill/tools/make_dummy_gds.cpp | 67 ++++ gpu_metal_fill/tools/render_layer.cpp | 116 ++++++ gpu_metal_fill/tools/run_fill.cpp | 58 +++ 27 files changed, 2329 insertions(+) create mode 100644 gpu_metal_fill/.gitignore create mode 100644 gpu_metal_fill/Makefile create mode 100644 gpu_metal_fill/README.md create mode 100644 gpu_metal_fill/include/metalfill/backend.hpp create mode 100644 gpu_metal_fill/include/metalfill/density.hpp create mode 100644 gpu_metal_fill/include/metalfill/drc.hpp create mode 100644 gpu_metal_fill/include/metalfill/engine.hpp create mode 100644 gpu_metal_fill/include/metalfill/fill.hpp create mode 100644 gpu_metal_fill/include/metalfill/gdsii.hpp create mode 100644 gpu_metal_fill/include/metalfill/geometry.hpp create mode 100644 gpu_metal_fill/include/metalfill/layermap.hpp create mode 100644 gpu_metal_fill/include/metalfill/partition.hpp create mode 100644 gpu_metal_fill/include/metalfill/raster.hpp create mode 100644 gpu_metal_fill/include/metalfill/rules.hpp create mode 100644 gpu_metal_fill/src/backend_cpu.cpp create mode 100644 gpu_metal_fill/src/density.cpp create mode 100644 gpu_metal_fill/src/drc.cpp create mode 100644 gpu_metal_fill/src/engine.cpp create mode 100644 gpu_metal_fill/src/fill.cpp create mode 100644 gpu_metal_fill/src/gdsii.cpp create mode 100644 gpu_metal_fill/src/layermap.cpp create mode 100644 gpu_metal_fill/src/partition.cpp create mode 100644 gpu_metal_fill/src/raster.cpp create mode 100644 gpu_metal_fill/tests/test_main.cpp create mode 100644 gpu_metal_fill/tools/make_dummy_gds.cpp create mode 100644 gpu_metal_fill/tools/render_layer.cpp create mode 100644 gpu_metal_fill/tools/run_fill.cpp diff --git a/gpu_metal_fill/.gitignore b/gpu_metal_fill/.gitignore new file mode 100644 index 0000000..f0a60b4 --- /dev/null +++ b/gpu_metal_fill/.gitignore @@ -0,0 +1,4 @@ +build/ +*.o +*.gds +*.ppm diff --git a/gpu_metal_fill/Makefile b/gpu_metal_fill/Makefile new file mode 100644 index 0000000..97e2c97 --- /dev/null +++ b/gpu_metal_fill/Makefile @@ -0,0 +1,56 @@ +# Metal Fill (FEOL/BEOL) — recursive-partitioned dummy fill. +# +# Build is CPU (OpenMP-parallel across partitions). The compute-heavy stages are +# isolated behind FillBackend (see include/metalfill/backend.hpp) so a CUDA +# backend can be dropped in later (GPU offload is future work). + +CXX ?= g++ +OPT ?= -O2 +CXXFLAGS ?= -std=c++17 $(OPT) -Wall -Wextra -Iinclude +LDFLAGS ?= + +# OpenMP (parallel partitions / fill). Disable with `make OPENMP=0`. +OPENMP ?= 1 +ifeq ($(OPENMP),1) + CXXFLAGS += -fopenmp + LDFLAGS += -fopenmp +endif + +BUILD := build +LIB_SRC := $(wildcard src/*.cpp) +LIB_OBJ := $(patsubst src/%.cpp,$(BUILD)/%.o,$(LIB_SRC)) + +TOOLS := $(BUILD)/make_dummy_gds $(BUILD)/run_fill $(BUILD)/render_layer +TESTS := $(BUILD)/test_main + +.PHONY: all tools test demo clean +all: tools +tools: $(TOOLS) + +$(BUILD): + mkdir -p $(BUILD) + +$(BUILD)/%.o: src/%.cpp | $(BUILD) + $(CXX) $(CXXFLAGS) -c $< -o $@ + +$(BUILD)/make_dummy_gds: tools/make_dummy_gds.cpp $(LIB_OBJ) | $(BUILD) + $(CXX) $(CXXFLAGS) $< $(LIB_OBJ) -o $@ $(LDFLAGS) + +$(BUILD)/run_fill: tools/run_fill.cpp $(LIB_OBJ) | $(BUILD) + $(CXX) $(CXXFLAGS) $< $(LIB_OBJ) -o $@ $(LDFLAGS) + +$(BUILD)/render_layer: tools/render_layer.cpp $(LIB_OBJ) | $(BUILD) + $(CXX) $(CXXFLAGS) $< $(LIB_OBJ) -o $@ $(LDFLAGS) + +$(BUILD)/test_main: tests/test_main.cpp $(LIB_OBJ) | $(BUILD) + $(CXX) $(CXXFLAGS) $< $(LIB_OBJ) -o $@ $(LDFLAGS) + +test: $(TESTS) + $(BUILD)/test_main + +demo: tools + $(BUILD)/make_dummy_gds -o $(BUILD)/dummy.gds + $(BUILD)/run_fill -i $(BUILD)/dummy.gds -o $(BUILD)/filled.gds -r $(BUILD)/report.txt + +clean: + rm -rf $(BUILD) diff --git a/gpu_metal_fill/README.md b/gpu_metal_fill/README.md new file mode 100644 index 0000000..054d6f0 --- /dev/null +++ b/gpu_metal_fill/README.md @@ -0,0 +1,87 @@ +# Metal Fill (FEOL / BEOL) — recursive-partitioned dummy fill + +A small, dependency-free C++17 engine that inserts **dummy metal fill** into a +GDSII layout so that every layer meets CMP density rules. It processes the die by +**recursive quadtree partitioning** (like commercial fill flows) so leaves can be +filled independently and in parallel, then merged. + +> Status: CPU implementation (OpenMP-parallel across partitions). The heavy +> stages are isolated behind a `FillBackend` interface so a CUDA/GPU backend can +> be added later. GPU offload is intentionally future work. + +## Why dummy fill? + +Chemical-Mechanical Polishing (CMP) needs a **uniform** metal density across the +die. Sparse regions dish/erode differently from dense regions, hurting yield and +timing. Foundries therefore require, per layer and per density window: + +- a **minimum** density (add fill where too sparse), +- a **maximum** density (don't over-fill), +- a bounded **window-to-window gradient** (no abrupt steps), +- **spacing** from existing geometry (a keep-out halo), and a min fill area. + +## Pipeline + +For each layer (FEOL base: `OD`, `PO`; BEOL metals: `M1..M14`): + +1. **Rasterize** existing geometry into an occupancy grid. +2. **Density** via a summed-area table (integral image): O(1) per window. +3. **Keep-out** = morphological dilation of geometry by the spacing rule. +4. **Fill** on a pitch lattice, per window, up to a per-window target density, + never exceeding max and never entering the keep-out halo. +5. **Iterative DRC**: measure achieved density, then raise the target of any + window that is still below `min` or too far below a denser neighbor + (gradient), and refill. Targets increase monotonically, so it converges. + +### Recursive partitioning (the scaling trick) + +The die is split by a **quadtree** into leaf partitions that are filled +independently (OpenMP now, GPU later) and then merged by concatenation. + +Correctness at partition boundaries is guaranteed by two things: + +- **Lattice-aligned cuts**: partitions are cut on a lattice equal to + `lcm(density_window, fill_pitch)`, so a density window and every fill position + is identical whether computed globally or per-partition. +- **Halo / guard band**: each leaf reads a ring of neighboring geometry as + read-only context (so density and keep-out are exact at the edge) but only + *emits* fill inside its **core**. Cores are disjoint and tile the die, so + merging is a plain concatenation — no de-duplication or stitching. + +A unit test (`partition == global`) asserts the merged result is bit-for-bit +equivalent to a single-shot global fill. + +## Build & run + +```sh +make # builds tools into build/ +make test # builds and runs the unit tests +make demo # generate dummy.gds -> filled.gds + report.txt + +# manual +build/make_dummy_gds -o build/dummy.gds +build/run_fill -i build/dummy.gds -o build/filled.gds -r build/report.txt +build/render_layer -i build/filled.gds -o build/m3.ppm -l 12 # visualize M3 +``` + +`make OPENMP=0` builds a serial version. + +## Layout of the code + +| File | Responsibility | +|------|----------------| +| `include/metalfill/geometry.hpp` | points, bbox, polygons (integer dbu) | +| `gdsii.{hpp,cpp}` | minimal GDSII reader/writer (BOUNDARY/BOX) | +| `raster.{hpp,cpp}` | polygon scanline rasterization | +| `density.{hpp,cpp}` | summed-area table + windowed density | +| `fill.{hpp,cpp}` | keep-out dilation + per-window fill placement | +| `partition.{hpp,cpp}` | recursive quadtree partitioner | +| `drc.{hpp,cpp}` | density / gradient / spacing / min-area checks | +| `backend.hpp`, `backend_cpu.cpp` | compute backend (CPU/OpenMP; CUDA later) | +| `engine.{hpp,cpp}` | orchestration: partition → fill → iterate → merge | +| `layermap.{hpp,cpp}` | default GDS layers + fill rules | +| `tools/` | `make_dummy_gds`, `run_fill`, `render_layer` | +| `tests/test_main.cpp` | unit + end-to-end tests | + +The default layer map and rules are illustrative, **not** a real PDK; edit +`layermap.cpp` to match your technology. diff --git a/gpu_metal_fill/include/metalfill/backend.hpp b/gpu_metal_fill/include/metalfill/backend.hpp new file mode 100644 index 0000000..693b9ac --- /dev/null +++ b/gpu_metal_fill/include/metalfill/backend.hpp @@ -0,0 +1,42 @@ +#pragma once +#include +#include +#include "metalfill/density.hpp" +#include "metalfill/fill.hpp" +#include "metalfill/raster.hpp" + +namespace mf { + +// The compute-heavy stages of metal fill are isolated behind this interface so +// they can be executed on the CPU (OpenMP) or offloaded to the GPU (CUDA). +// +// Every stage here is data-parallel and maps naturally onto the GPU: +// * build_sat -> parallel prefix sums +// * compute_density-> box lookups over the SAT +// * compute_keepout-> morphological dilation (box filter + threshold) +// * place_fill -> per-window independent stamping +class FillBackend { +public: + virtual ~FillBackend() = default; + virtual std::string name() const = 0; + + virtual SummedAreaTable build_sat(const Grid& grid) = 0; + virtual DensityMap compute_density(const SummedAreaTable& sat, int win_cells, + int step_cells) = 0; + virtual Grid compute_keepout(const Grid& occ, int keepout_cells) = 0; + virtual std::vector place_fill(const Grid& occ, const Grid& blocked, + const FillParams& params, + Grid& fill_occ) = 0; +}; + +// The default CPU backend (parallelized with OpenMP when available). +std::unique_ptr make_cpu_backend(); + +// Returns a CUDA backend when the library is built with USE_CUDA and a device +// is present; otherwise returns nullptr. +std::unique_ptr make_cuda_backend(); + +// Selects the CUDA backend if requested and available, else the CPU backend. +std::unique_ptr make_backend(bool prefer_gpu); + +} // namespace mf diff --git a/gpu_metal_fill/include/metalfill/density.hpp b/gpu_metal_fill/include/metalfill/density.hpp new file mode 100644 index 0000000..b578c12 --- /dev/null +++ b/gpu_metal_fill/include/metalfill/density.hpp @@ -0,0 +1,46 @@ +#pragma once +#include +#include +#include "metalfill/raster.hpp" + +namespace mf { + +// Summed-area table (integral image) over a boolean occupancy grid. Allows O(1) +// area queries for any axis-aligned window and is the core primitive that maps +// cleanly onto a GPU (prefix sums + box lookups). +struct SummedAreaTable { + int nx = 0; + int ny = 0; + std::vector sat; // (ny+1) x (nx+1), row-major + + // Occupied-cell count in the half-open cell range [x0,x1) x [y0,y1). + int64_t area(int x0, int y0, int x1, int y1) const; +}; + +SummedAreaTable build_sat(const Grid& grid); + +// A single density evaluation window. +struct Window { + int ix = 0, iy = 0; // tile index + int x0 = 0, y0 = 0; // cell range [x0,x1) x [y0,y1) + int x1 = 0, y1 = 0; + double density = 0.0; // occupied_area / window_area +}; + +// A grid of density windows produced by sliding a `win_cells` window with +// `step_cells` stride over the occupancy grid. +struct DensityMap { + int ntiles_x = 0; + int ntiles_y = 0; + std::vector tiles; // row-major (iy*ntiles_x + ix) + + const Window& at(int ix, int iy) const { return tiles[static_cast(iy) * ntiles_x + ix]; } + double min_density() const; + double max_density() const; + double mean_density() const; +}; + +// Computes the density map from a SAT. win_cells/step_cells are in grid cells. +DensityMap compute_density(const SummedAreaTable& sat, int win_cells, int step_cells); + +} // namespace mf diff --git a/gpu_metal_fill/include/metalfill/drc.hpp b/gpu_metal_fill/include/metalfill/drc.hpp new file mode 100644 index 0000000..e647add --- /dev/null +++ b/gpu_metal_fill/include/metalfill/drc.hpp @@ -0,0 +1,41 @@ +#pragma once +#include +#include +#include "metalfill/density.hpp" +#include "metalfill/raster.hpp" +#include "metalfill/rules.hpp" + +namespace mf { + +enum class ViolationType { + MinDensity, + MaxDensity, + Gradient, + Spacing, + MinArea, +}; + +struct Violation { + ViolationType type; + int ix = 0, iy = 0; // offending tile (or -1 for shape-level checks) + double value = 0.0; // measured value + double limit = 0.0; // rule limit + std::string message; +}; + +struct DrcReport { + std::vector violations; + bool clean() const { return violations.empty(); } + int count(ViolationType t) const; +}; + +// Runs density (min/max), gradient, keep-out spacing and min-area checks over +// the combined (existing + fill) layout for one layer. +// total_occ : existing geometry OR fill footprints (post-fill occupancy) +// blocked : keep-out mask (existing geometry dilated by keepout) +// fill_occ : fill footprints only (for spacing check) +DrcReport run_drc(const SummedAreaTable& total_sat, const Grid& blocked, + const Grid& fill_occ, int win_cells, int step_cells, + const FillRule& rule, double dbu_per_um, dbu cell); + +} // namespace mf diff --git a/gpu_metal_fill/include/metalfill/engine.hpp b/gpu_metal_fill/include/metalfill/engine.hpp new file mode 100644 index 0000000..dded791 --- /dev/null +++ b/gpu_metal_fill/include/metalfill/engine.hpp @@ -0,0 +1,53 @@ +#pragma once +#include +#include +#include "metalfill/backend.hpp" +#include "metalfill/drc.hpp" +#include "metalfill/gdsii.hpp" +#include "metalfill/rules.hpp" + +namespace mf { + +// Per-layer result of the fill run. +struct LayerResult { + std::string name; + int layer = 0; + bool is_beol = false; + int existing_polys = 0; + int fill_shapes = 0; + int partitions = 0; + double density_before_min = 0, density_before_mean = 0, density_before_max = 0; + double density_after_min = 0, density_after_mean = 0, density_after_max = 0; + int iterations = 0; + DrcReport drc; + double seconds = 0.0; +}; + +struct EngineConfig { + // Raster resolution in database units. Smaller = more accurate + more memory. + dbu grid_cell_dbu = 0; // 0 => auto (derived from smallest fill pitch) + int max_iterations = 3; // iterative fill/DRC passes per layer + int max_leaf = 2; // partition leaf size (align-units per side) + bool prefer_gpu = false; // offload BEOL to CUDA backend if available + double fill_headroom = 0.02; // aim slightly above min_density + double grad_headroom = 0.02; // overshoot gradient target to beat discretization +}; + +struct FillSummary { + std::string backend; + std::vector layers; + double total_seconds = 0.0; + int total_violations() const; + int total_fill_shapes() const; +}; + +// Runs FEOL + BEOL fill over `layout` using `rules`. Fill polygons are appended +// to `layout` (tagged with each rule's fill_datatype). BEOL layers are processed +// through the (optionally GPU) backend. +FillSummary run_fill(Layout& layout, const std::vector& rules, + const EngineConfig& cfg); + +// Renders a human-readable text report. +std::string format_report(const FillSummary& summary); + +} // namespace mf diff --git a/gpu_metal_fill/include/metalfill/fill.hpp b/gpu_metal_fill/include/metalfill/fill.hpp new file mode 100644 index 0000000..49e1612 --- /dev/null +++ b/gpu_metal_fill/include/metalfill/fill.hpp @@ -0,0 +1,48 @@ +#pragma once +#include +#include "metalfill/geometry.hpp" +#include "metalfill/raster.hpp" + +namespace mf { + +// Result of computing the keep-out (forbidden) mask for fill placement. +// A cell is blocked if any existing geometry lies within `keepout` of it. +Grid compute_keepout(const Grid& occ, int keepout_cells); + +// A placed fill shape, expressed in grid-cell coordinates (footprint is +// [ix0, ix0+w) x [iy0, iy0+h)). +struct FillShape { + int ix0 = 0, iy0 = 0; + int w = 0, h = 0; +}; + +// Parameters controlling fill placement, all expressed in grid cells. +struct FillParams { + int fill_w = 1; + int fill_h = 1; + int pitch_x = 2; + int pitch_y = 2; + int win_cells = 1; + int step_cells = 1; + double target_density = 0.30; // fill until each window reaches this + double max_density = 0.80; // never exceed this in any window + + // Optional per-window target (gradient-aware fill). When set, a window's + // target is looked up from this global map instead of `target_density`. + // The map is indexed [gy*gnx + gx] where (gx,gy) is the *global* window + // index; a local tile (tx,ty) maps to global (goff_x+tx, goff_y+ty). + const std::vector* target_map = nullptr; + int gnx = 0; + int gny = 0; + int goff_x = 0; + int goff_y = 0; +}; + +// Places dummy fill on a grid so that every window reaches `target_density` +// where physically possible, while never exceeding `max_density` and never +// overlapping the keep-out mask. Returns the placed shapes; `fill_occ` is +// populated with the fill footprints (1 where fill was placed). +std::vector place_fill(const Grid& occ, const Grid& blocked, + const FillParams& params, Grid& fill_occ); + +} // namespace mf diff --git a/gpu_metal_fill/include/metalfill/gdsii.hpp b/gpu_metal_fill/include/metalfill/gdsii.hpp new file mode 100644 index 0000000..899e7a8 --- /dev/null +++ b/gpu_metal_fill/include/metalfill/gdsii.hpp @@ -0,0 +1,37 @@ +#pragma once +#include +#include +#include "metalfill/geometry.hpp" + +namespace mf { + +// A minimal in-memory representation of a single-cell GDSII layout. +struct Layout { + std::string lib_name = "METALFILL"; + std::string cell_name = "TOP"; + // meters per database unit (UNITS second value). 1e-9 => 1 dbu = 1 nm. + double meters_per_dbu = 1e-9; + // user units per database unit (UNITS first value). 1e-3 => 1 user unit = 1 um. + double user_units_per_dbu = 1e-3; + + std::vector polygons; + + // Database units per micron, derived from UNITS. + double dbu_per_um() const { return 1e-6 / meters_per_dbu; } + + BBox bbox() const { + BBox b; + for (const auto& p : polygons) b.expand(p.bbox()); + return b; + } +}; + +// Reads a GDSII file. Only BOUNDARY and BOX records are imported (as polygons); +// references (SREF/AREF) and paths are ignored. Throws std::runtime_error on +// malformed input. +Layout read_gds(const std::string& path); + +// Writes a single-cell GDSII file containing all polygons. +void write_gds(const std::string& path, const Layout& layout); + +} // namespace mf diff --git a/gpu_metal_fill/include/metalfill/geometry.hpp b/gpu_metal_fill/include/metalfill/geometry.hpp new file mode 100644 index 0000000..0798bb7 --- /dev/null +++ b/gpu_metal_fill/include/metalfill/geometry.hpp @@ -0,0 +1,63 @@ +#pragma once +#include +#include +#include +#include + +namespace mf { + +// All layout coordinates are stored in integer database units (dbu). +using dbu = int64_t; + +struct Point { + dbu x = 0; + dbu y = 0; +}; + +struct BBox { + dbu xmin = std::numeric_limits::max(); + dbu ymin = std::numeric_limits::max(); + dbu xmax = std::numeric_limits::min(); + dbu ymax = std::numeric_limits::min(); + + bool valid() const { return xmax >= xmin && ymax >= ymin; } + dbu width() const { return valid() ? xmax - xmin : 0; } + dbu height() const { return valid() ? ymax - ymin : 0; } + + void expand(const Point& p) { + xmin = std::min(xmin, p.x); + ymin = std::min(ymin, p.y); + xmax = std::max(xmax, p.x); + ymax = std::max(ymax, p.y); + } + void expand(const BBox& b) { + if (!b.valid()) return; + xmin = std::min(xmin, b.xmin); + ymin = std::min(ymin, b.ymin); + xmax = std::max(xmax, b.xmax); + ymax = std::max(ymax, b.ymax); + } +}; + +// A simple polygon tagged with GDSII (layer, datatype). +struct Polygon { + int layer = 0; + int datatype = 0; + std::vector pts; + + BBox bbox() const { + BBox b; + for (const auto& p : pts) b.expand(p); + return b; + } +}; + +inline Polygon make_rect(int layer, int datatype, dbu x0, dbu y0, dbu x1, dbu y1) { + Polygon p; + p.layer = layer; + p.datatype = datatype; + p.pts = {{x0, y0}, {x1, y0}, {x1, y1}, {x0, y1}}; + return p; +} + +} // namespace mf diff --git a/gpu_metal_fill/include/metalfill/layermap.hpp b/gpu_metal_fill/include/metalfill/layermap.hpp new file mode 100644 index 0000000..e566018 --- /dev/null +++ b/gpu_metal_fill/include/metalfill/layermap.hpp @@ -0,0 +1,30 @@ +#pragma once +#include +#include "metalfill/rules.hpp" + +namespace mf { + +// GDS layer numbering used by this project (illustrative; not a real PDK). +// +// FEOL (base) layers: +// OD (active/diffusion) = 1 +// PO (poly) = 2 +// BEOL (metal) layers: +// M1 .. M14 = 10 .. 23 (Mn -> layer 9 + n) +// +// Fill shapes are written on the same layer number with datatype 10. +constexpr int kOdLayer = 1; +constexpr int kPoLayer = 2; +constexpr int kMetalBaseLayer = 9; // M1 = 10 +constexpr int kNumMetals = 14; // M1 .. M14 +constexpr int kFillDatatype = 10; + +inline int metal_layer(int n) { return kMetalBaseLayer + n; } // n in [1..14] + +// Builds the default layer map: 2 FEOL layers + M1..M14 BEOL layers. +// +// Lower metals use small, tight fill; upper metals use larger fill on a coarser +// pitch (mirrors real metal stacks where top layers are thicker/wider). +std::vector default_layermap(); + +} // namespace mf diff --git a/gpu_metal_fill/include/metalfill/partition.hpp b/gpu_metal_fill/include/metalfill/partition.hpp new file mode 100644 index 0000000..12dc60f --- /dev/null +++ b/gpu_metal_fill/include/metalfill/partition.hpp @@ -0,0 +1,41 @@ +#pragma once +#include +#include "metalfill/geometry.hpp" + +namespace mf { + +// One leaf of the recursive partitioning of the die. +// +// core : the region this leaf is responsible for emitting fill in. Cores of +// different leaves are disjoint and tile the die. Core edges are +// aligned to the density-window / fill-pitch lattice. +// halo : core expanded by a guard band. Geometry inside the halo is used as +// read-only context so density and spacing are correct at the core +// edge, but fill is only *emitted* inside the core. +struct PartitionRect { + BBox core; + BBox halo; + int depth = 0; +}; + +struct PartitionConfig { + dbu anchor_x = 0; // lattice origin (die xmin) + dbu anchor_y = 0; // lattice origin (die ymin) + dbu align_x = 1; // atomic cut unit in x (== lcm(window, pitch_x)) + dbu align_y = 1; // atomic cut unit in y (== lcm(window, pitch_y)) + dbu margin = 0; // halo guard band (multiple of align) + int max_leaf = 2; // stop splitting when leaf <= max_leaf align-units per side + int max_depth = 24; // hard recursion cap + BBox clip; // die bounds; cores are clamped to this for emission +}; + +// Recursively partitions `area` (the die bounds) into leaves via a quadtree. +// Splits happen only on the align lattice so windows and fill pitch stay +// coherent across boundaries. +std::vector partition_recursive(const BBox& area, const PartitionConfig& cfg); + +// Integer gcd / lcm helpers on database units. +dbu gcd_dbu(dbu a, dbu b); +dbu lcm_dbu(dbu a, dbu b); + +} // namespace mf diff --git a/gpu_metal_fill/include/metalfill/raster.hpp b/gpu_metal_fill/include/metalfill/raster.hpp new file mode 100644 index 0000000..aaa4fd1 --- /dev/null +++ b/gpu_metal_fill/include/metalfill/raster.hpp @@ -0,0 +1,49 @@ +#pragma once +#include +#include +#include "metalfill/geometry.hpp" + +namespace mf { + +// A uniform boolean occupancy grid over a rectangular area of the layout. +// cell is the edge length of one grid cell in database units. Element (ix, iy) +// covers [ox + ix*cell, ox + (ix+1)*cell) x [oy + iy*cell, oy + (iy+1)*cell). +struct Grid { + int nx = 0; + int ny = 0; + dbu cell = 1; + dbu ox = 0; + dbu oy = 0; + std::vector occ; // 0/1, row-major (iy*nx + ix) + + void resize(int nx_, int ny_, dbu cell_, dbu ox_, dbu oy_) { + nx = nx_; + ny = ny_; + cell = cell_; + ox = ox_; + oy = oy_; + occ.assign(static_cast(nx) * ny, 0); + } + inline size_t idx(int ix, int iy) const { return static_cast(iy) * nx + ix; } + inline uint8_t at(int ix, int iy) const { return occ[idx(ix, iy)]; } + inline void set(int ix, int iy, uint8_t v) { occ[idx(ix, iy)] = v; } + size_t count() const { + size_t c = 0; + for (auto v : occ) c += v; + return c; + } +}; + +// Allocates a grid covering `area` at resolution `cell` (dbu). The area is +// snapped so the origin lands on a cell boundary. +Grid make_grid(const BBox& area, dbu cell); + +// Rasterizes the given polygons (whose (layer,datatype) match) into `grid` by +// setting occupied cells to 1. Uses even-odd scanline fill; robust for +// arbitrary simple polygons, exact for axis-aligned rectangles. +void rasterize(Grid& grid, const std::vector& polys, int layer, int datatype); + +// Stamps a single axis-aligned rectangle (in dbu) into the grid. +void stamp_rect(Grid& grid, dbu x0, dbu y0, dbu x1, dbu y1, uint8_t value = 1); + +} // namespace mf diff --git a/gpu_metal_fill/include/metalfill/rules.hpp b/gpu_metal_fill/include/metalfill/rules.hpp new file mode 100644 index 0000000..f6b7e76 --- /dev/null +++ b/gpu_metal_fill/include/metalfill/rules.hpp @@ -0,0 +1,45 @@ +#pragma once +#include +#include + +namespace mf { + +// Fill rules for a single mask layer. Distances are given in microns and are +// converted to database units at runtime using the layout UNITS. +// +// A layer is identified by its GDS (layer, datatype). Fill geometry is emitted +// on the same GDS layer number but tagged with `fill_datatype` so that dummy +// fill can be distinguished (and stripped) later. +struct FillRule { + std::string name; // human readable, e.g. "M1", "OD" + int layer = 0; // GDS layer of the existing (drawn) geometry + int datatype = 0; // GDS datatype of the existing geometry + int fill_datatype = 10; // GDS datatype used to tag emitted fill shapes + + // Density window (CMP planarity is evaluated over a sliding window). + double window_um = 20.0; // square window edge length + double step_um = 20.0; // window step (== window_um => non-overlapping tiles) + + // Density targets. CMP needs the metal density to stay inside [min, max] + // and the window-to-window gradient to stay bounded. + double min_density = 0.30; + double max_density = 0.80; + double max_gradient = 0.20; // max |density(tile) - density(neighbor)|; <=0 disables + + // Fill shape geometry. + double fill_w_um = 0.4; + double fill_h_um = 0.4; + double fill_pitch_x_um = 0.8; + double fill_pitch_y_um = 0.8; + + // Design-rule spacing between fill and any existing geometry (keep-out halo). + double keepout_um = 0.15; + + // Minimum legal fill-shape area (sanity DRC on the fill shape itself). + double min_area_um2 = 0.04; + + // BEOL (metal) layers are flagged for the GPU-offloaded processing path. + bool is_beol = false; +}; + +} // namespace mf diff --git a/gpu_metal_fill/src/backend_cpu.cpp b/gpu_metal_fill/src/backend_cpu.cpp new file mode 100644 index 0000000..c88f910 --- /dev/null +++ b/gpu_metal_fill/src/backend_cpu.cpp @@ -0,0 +1,58 @@ +#include "metalfill/backend.hpp" + +#ifdef _OPENMP +#include +#include +#endif + +namespace mf { + +namespace { + +// CPU implementation of the fill backend. The heavy stages delegate to the +// reference kernels in density.cpp / fill.cpp, which are OpenMP-parallel where +// the work is independent (keep-out dilation and per-tile fill placement). +class CpuBackend : public FillBackend { +public: + std::string name() const override { +#ifdef _OPENMP + return "cpu-openmp(" + std::to_string(omp_get_max_threads()) + " threads)"; +#else + return "cpu-serial"; +#endif + } + + SummedAreaTable build_sat(const Grid& grid) override { return mf::build_sat(grid); } + + DensityMap compute_density(const SummedAreaTable& sat, int win_cells, + int step_cells) override { + return mf::compute_density(sat, win_cells, step_cells); + } + + Grid compute_keepout(const Grid& occ, int keepout_cells) override { + return mf::compute_keepout(occ, keepout_cells); + } + + std::vector place_fill(const Grid& occ, const Grid& blocked, + const FillParams& params, Grid& fill_occ) override { + return mf::place_fill(occ, blocked, params, fill_occ); + } +}; + +} // namespace + +std::unique_ptr make_cpu_backend() { return std::make_unique(); } + +std::unique_ptr make_backend(bool prefer_gpu) { + if (prefer_gpu) { + if (auto gpu = make_cuda_backend()) return gpu; + } + return make_cpu_backend(); +} + +#ifndef USE_CUDA +// When built without CUDA support the GPU backend is simply unavailable. +std::unique_ptr make_cuda_backend() { return nullptr; } +#endif + +} // namespace mf diff --git a/gpu_metal_fill/src/density.cpp b/gpu_metal_fill/src/density.cpp new file mode 100644 index 0000000..54c6483 --- /dev/null +++ b/gpu_metal_fill/src/density.cpp @@ -0,0 +1,82 @@ +#include "metalfill/density.hpp" + +#include +#include + +namespace mf { + +int64_t SummedAreaTable::area(int x0, int y0, int x1, int y1) const { + x0 = std::max(x0, 0); + y0 = std::max(y0, 0); + x1 = std::min(x1, nx); + y1 = std::min(y1, ny); + if (x1 <= x0 || y1 <= y0) return 0; + const int w = nx + 1; + auto S = [&](int x, int y) -> int64_t { return sat[static_cast(y) * w + x]; }; + return S(x1, y1) - S(x0, y1) - S(x1, y0) + S(x0, y0); +} + +SummedAreaTable build_sat(const Grid& grid) { + SummedAreaTable t; + t.nx = grid.nx; + t.ny = grid.ny; + const int w = grid.nx + 1; + const int h = grid.ny + 1; + t.sat.assign(static_cast(w) * h, 0); + for (int y = 0; y < grid.ny; ++y) { + int64_t row = 0; + for (int x = 0; x < grid.nx; ++x) { + row += grid.at(x, y); + t.sat[static_cast(y + 1) * w + (x + 1)] = + t.sat[static_cast(y) * w + (x + 1)] + row; + } + } + return t; +} + +double DensityMap::min_density() const { + double m = std::numeric_limits::max(); + for (const auto& t : tiles) m = std::min(m, t.density); + return tiles.empty() ? 0.0 : m; +} +double DensityMap::max_density() const { + double m = 0.0; + for (const auto& t : tiles) m = std::max(m, t.density); + return m; +} +double DensityMap::mean_density() const { + if (tiles.empty()) return 0.0; + double s = 0.0; + for (const auto& t : tiles) s += t.density; + return s / tiles.size(); +} + +DensityMap compute_density(const SummedAreaTable& sat, int win_cells, int step_cells) { + DensityMap dm; + win_cells = std::max(win_cells, 1); + step_cells = std::max(step_cells, 1); + // Number of tiles so that the whole grid is covered. + auto ntiles = [](int n, int step) { return std::max(1, (n + step - 1) / step); }; + dm.ntiles_x = ntiles(sat.nx, step_cells); + dm.ntiles_y = ntiles(sat.ny, step_cells); + dm.tiles.resize(static_cast(dm.ntiles_x) * dm.ntiles_y); + + for (int ty = 0; ty < dm.ntiles_y; ++ty) { + for (int tx = 0; tx < dm.ntiles_x; ++tx) { + Window win; + win.ix = tx; + win.iy = ty; + win.x0 = tx * step_cells; + win.y0 = ty * step_cells; + win.x1 = std::min(win.x0 + win_cells, sat.nx); + win.y1 = std::min(win.y0 + win_cells, sat.ny); + int64_t occ = sat.area(win.x0, win.y0, win.x1, win.y1); + int64_t cells = static_cast(win.x1 - win.x0) * (win.y1 - win.y0); + win.density = cells > 0 ? static_cast(occ) / static_cast(cells) : 0.0; + dm.tiles[static_cast(ty) * dm.ntiles_x + tx] = win; + } + } + return dm; +} + +} // namespace mf diff --git a/gpu_metal_fill/src/drc.cpp b/gpu_metal_fill/src/drc.cpp new file mode 100644 index 0000000..46da03f --- /dev/null +++ b/gpu_metal_fill/src/drc.cpp @@ -0,0 +1,97 @@ +#include "metalfill/drc.hpp" + +#include +#include + +namespace mf { + +int DrcReport::count(ViolationType t) const { + int c = 0; + for (const auto& v : violations) + if (v.type == t) ++c; + return c; +} + +DrcReport run_drc(const SummedAreaTable& total_sat, const Grid& blocked, const Grid& fill_occ, + int win_cells, int step_cells, const FillRule& rule, double dbu_per_um, + dbu cell) { + DrcReport rep; + DensityMap dm = compute_density(total_sat, win_cells, step_cells); + + // Density min / max per window. + for (const auto& w : dm.tiles) { + if (w.density < rule.min_density - 1e-9) { + std::ostringstream os; + os << rule.name << " window (" << w.ix << "," << w.iy << ") density " + << w.density << " < min " << rule.min_density; + rep.violations.push_back({ViolationType::MinDensity, w.ix, w.iy, w.density, + rule.min_density, os.str()}); + } + if (w.density > rule.max_density + 1e-9) { + std::ostringstream os; + os << rule.name << " window (" << w.ix << "," << w.iy << ") density " + << w.density << " > max " << rule.max_density; + rep.violations.push_back({ViolationType::MaxDensity, w.ix, w.iy, w.density, + rule.max_density, os.str()}); + } + } + + // Density gradient between adjacent windows. + if (rule.max_gradient > 0) { + for (int ty = 0; ty < dm.ntiles_y; ++ty) { + for (int tx = 0; tx < dm.ntiles_x; ++tx) { + double d = dm.at(tx, ty).density; + if (tx + 1 < dm.ntiles_x) { + double g = std::fabs(d - dm.at(tx + 1, ty).density); + if (g > rule.max_gradient + 1e-9) { + std::ostringstream os; + os << rule.name << " gradient " << g << " > " << rule.max_gradient + << " between (" << tx << "," << ty << ") and (" << tx + 1 << "," << ty + << ")"; + rep.violations.push_back( + {ViolationType::Gradient, tx, ty, g, rule.max_gradient, os.str()}); + } + } + if (ty + 1 < dm.ntiles_y) { + double g = std::fabs(d - dm.at(tx, ty + 1).density); + if (g > rule.max_gradient + 1e-9) { + std::ostringstream os; + os << rule.name << " gradient " << g << " > " << rule.max_gradient + << " between (" << tx << "," << ty << ") and (" << tx << "," << ty + 1 + << ")"; + rep.violations.push_back( + {ViolationType::Gradient, tx, ty, g, rule.max_gradient, os.str()}); + } + } + } + } + } + + // Fill-to-geometry spacing: fill must never land inside the keep-out halo. + if (fill_occ.nx == blocked.nx && fill_occ.ny == blocked.ny) { + int spacing_hits = 0; + for (size_t i = 0; i < fill_occ.occ.size(); ++i) + if (fill_occ.occ[i] && blocked.occ[i]) ++spacing_hits; + if (spacing_hits > 0) { + std::ostringstream os; + os << rule.name << " fill overlaps keep-out halo in " << spacing_hits << " cells"; + rep.violations.push_back( + {ViolationType::Spacing, -1, -1, double(spacing_hits), 0.0, os.str()}); + } + } + + // Fill-shape minimum area (shape-level static check). + double fill_area_um2 = rule.fill_w_um * rule.fill_h_um; + if (fill_area_um2 < rule.min_area_um2 - 1e-9) { + std::ostringstream os; + os << rule.name << " fill area " << fill_area_um2 << " um^2 < min " << rule.min_area_um2; + rep.violations.push_back( + {ViolationType::MinArea, -1, -1, fill_area_um2, rule.min_area_um2, os.str()}); + } + + (void)dbu_per_um; + (void)cell; + return rep; +} + +} // namespace mf diff --git a/gpu_metal_fill/src/engine.cpp b/gpu_metal_fill/src/engine.cpp new file mode 100644 index 0000000..d51bd9a --- /dev/null +++ b/gpu_metal_fill/src/engine.cpp @@ -0,0 +1,360 @@ +#include "metalfill/engine.hpp" + +#include +#include +#include +#include +#include + +#include "metalfill/partition.hpp" + +#ifdef _OPENMP +#include +#endif + +namespace mf { +namespace { + +struct LayerGeom { + dbu cell = 1; + dbu fw = 1, fh = 1, px = 1, py = 1; + dbu win = 1, step = 1, keep = 0; + dbu align_x = 1, align_y = 1, margin = 1; + int fw_c = 1, fh_c = 1, px_c = 1, py_c = 1; + int win_c = 1, step_c = 1, keep_c = 0; +}; + +dbu to_dbu(double um, double dppu) { return static_cast(std::llround(um * dppu)); } + +LayerGeom compute_geom(const FillRule& r, double dppu) { + LayerGeom g; + g.fw = std::max(to_dbu(r.fill_w_um, dppu), 1); + g.fh = std::max(to_dbu(r.fill_h_um, dppu), 1); + g.px = std::max(to_dbu(r.fill_pitch_x_um, dppu), g.fw); + g.py = std::max(to_dbu(r.fill_pitch_y_um, dppu), g.fh); + g.win = std::max(to_dbu(r.window_um, dppu), 1); + g.step = std::max(to_dbu(r.step_um, dppu), 1); + g.keep = std::max(to_dbu(r.keepout_um, dppu), 0); + + // Grid cell divides every relevant length so windows/pitch are exact. + dbu c = gcd_dbu(g.fw, g.fh); + c = gcd_dbu(c, g.px); + c = gcd_dbu(c, g.py); + c = gcd_dbu(c, g.win); + c = gcd_dbu(c, g.step); + g.cell = std::max(c, 1); + + g.fw_c = static_cast(g.fw / g.cell); + g.fh_c = static_cast(g.fh / g.cell); + g.px_c = static_cast(g.px / g.cell); + g.py_c = static_cast(g.py / g.cell); + g.win_c = static_cast(g.win / g.cell); + g.step_c = static_cast(g.step / g.cell); + g.keep_c = static_cast((g.keep + g.cell - 1) / g.cell); + + // Partition cuts must align to BOTH the window and the fill pitch so the + // per-partition result is identical to a global fill. + g.align_x = lcm_dbu(g.win, g.px); + g.align_y = lcm_dbu(g.win, g.py); + // Halo must cover keep-out + one fill footprint of context, rounded up to a + // full align unit so the halo origin stays on the lattice. + dbu need = g.keep + std::max(g.fw, g.fh); + dbu m_x = ((need + g.align_x - 1) / g.align_x) * g.align_x; + dbu m_y = ((need + g.align_y - 1) / g.align_y) * g.align_y; + g.margin = std::max(m_x, m_y); + return g; +} + +dbu floor_to(dbu v, dbu a) { return (v >= 0 ? (v / a) : -(((-v) + a - 1) / a)) * a; } +dbu ceil_to(dbu v, dbu a) { return (v >= 0 ? ((v + a - 1) / a) : -((-v) / a)) * a; } + +// Snaps a bbox outward to the align lattice in each axis. The result is an exact +// whole number of align-units, so density windows and the fill pitch stay +// coherent whether computed globally or per-partition. +BBox snap_area(const BBox& b, dbu align_x, dbu align_y) { + BBox s; + s.xmin = floor_to(b.xmin, align_x); + s.ymin = floor_to(b.ymin, align_y); + s.xmax = ceil_to(b.xmax, align_x); + s.ymax = ceil_to(b.ymax, align_y); + return s; +} + +std::vector layer_polys(const Layout& layout, const FillRule& r) { + std::vector v; + for (const auto& p : layout.polygons) + if (p.layer == r.layer && p.datatype == r.datatype) v.push_back(p); + return v; +} + +bool intersects(const BBox& a, const BBox& b) { + return !(a.xmax <= b.xmin || b.xmax <= a.xmin || a.ymax <= b.ymin || b.ymax <= a.ymin); +} + +// Runs partitioned fill for a per-window target map; returns emitted fill +// rectangles (global dbu) tagged on the fill datatype. Each leaf is processed +// independently (parallel), reading a halo of context and emitting only inside +// its core, so the concatenated result equals a global fill. +std::vector partitioned_fill(const std::vector& polys, const FillRule& rule, + const LayerGeom& g, const std::vector& parts, + FillBackend& backend, const std::vector& target_map, + int gnx, int gny, dbu area_xmin, dbu area_ymin, double maxd) { + std::vector> per(parts.size()); + +#ifdef _OPENMP +#pragma omp parallel for schedule(dynamic) +#endif + for (int pi = 0; pi < static_cast(parts.size()); ++pi) { + const PartitionRect& part = parts[pi]; + Grid occ = make_grid(part.halo, g.cell); + + // Rasterize only geometry that touches this leaf's halo. + std::vector local; + for (const auto& p : polys) + if (intersects(p.bbox(), part.halo)) local.push_back(p); + rasterize(occ, local, rule.layer, rule.datatype); + + Grid blocked = backend.compute_keepout(occ, g.keep_c); + + FillParams fp; + fp.fill_w = g.fw_c; + fp.fill_h = g.fh_c; + fp.pitch_x = g.px_c; + fp.pitch_y = g.py_c; + fp.win_cells = g.win_c; + fp.step_cells = g.step_c; + fp.max_density = maxd; + fp.target_map = &target_map; + fp.gnx = gnx; + fp.gny = gny; + fp.goff_x = static_cast((occ.ox - area_xmin) / g.step); + fp.goff_y = static_cast((occ.oy - area_ymin) / g.step); + + Grid fill_occ; + std::vector shapes = backend.place_fill(occ, blocked, fp, fill_occ); + + auto& out = per[pi]; + for (const auto& s : shapes) { + dbu x0 = occ.ox + static_cast(s.ix0) * g.cell; + dbu y0 = occ.oy + static_cast(s.iy0) * g.cell; + dbu x1 = x0 + static_cast(s.w) * g.cell; + dbu y1 = y0 + static_cast(s.h) * g.cell; + // Emit only shapes fully inside this leaf's core (disjoint merge). + if (x0 < part.core.xmin || y0 < part.core.ymin || x1 > part.core.xmax || + y1 > part.core.ymax) + continue; + out.push_back(make_rect(rule.layer, rule.fill_datatype, x0, y0, x1, y1)); + } + } + + std::vector fills; + for (auto& v : per) fills.insert(fills.end(), v.begin(), v.end()); + return fills; +} + +// Builds occupancy over the whole die for the given polygons on (layer,dt). +Grid whole_layer_grid(const std::vector& polys, const BBox& area, const FillRule& r, + dbu cell) { + Grid g = make_grid(area, cell); + rasterize(g, polys, r.layer, r.datatype); + return g; +} + +} // namespace + +FillSummary run_fill(Layout& layout, const std::vector& rules, const EngineConfig& cfg) { + FillSummary summary; + auto backend = make_backend(cfg.prefer_gpu); + summary.backend = backend->name(); + + double dppu = layout.dbu_per_um(); + auto t_all0 = std::chrono::steady_clock::now(); + + for (const auto& rule : rules) { + auto t0 = std::chrono::steady_clock::now(); + LayerResult res; + res.name = rule.name; + res.layer = rule.layer; + res.is_beol = rule.is_beol; + + std::vector polys = layer_polys(layout, rule); + res.existing_polys = static_cast(polys.size()); + + LayerGeom g = compute_geom(rule, dppu); + BBox die = layout.bbox(); + if (!die.valid()) { + summary.layers.push_back(res); + continue; + } + // Align-lattice-snapped working area (see snap_area). Both the global + // grids and the partition anchor use area.xmin/ymin so every window and + // fill position is identical globally and per-partition. + BBox area = snap_area(die, g.align_x, g.align_y); + + // ---- density before ------------------------------------------------- + Grid occ_before = whole_layer_grid(polys, area, rule, g.cell); + SummedAreaTable sat_before = backend->build_sat(occ_before); + DensityMap dm_before = backend->compute_density(sat_before, g.win_c, g.step_c); + res.density_before_min = dm_before.min_density(); + res.density_before_mean = dm_before.mean_density(); + res.density_before_max = dm_before.max_density(); + + // ---- partitions ----------------------------------------------------- + PartitionConfig pc; + pc.anchor_x = area.xmin; + pc.anchor_y = area.ymin; + pc.align_x = g.align_x; + pc.align_y = g.align_y; + pc.margin = g.margin; + pc.max_leaf = std::max(cfg.max_leaf, 1); // align-units per leaf side + pc.clip = area; // cores tile the align-snapped area exactly + std::vector parts = partition_recursive(area, pc); + res.partitions = static_cast(parts.size()); + + // ---- gradient-aware iterative fill (DRC-driven) --------------------- + // Each window gets its own target. We fill, measure density, then raise + // targets for windows that still violate min-density or that sit too far + // below a denser neighbor (gradient), and refill. Targets increase + // monotonically toward max_density, so the loop converges. + double min_d = rule.min_density; + double max_d = rule.max_density; + double grad = rule.max_gradient; + int gnx = dm_before.ntiles_x; + int gny = dm_before.ntiles_y; + double base_target = std::min(min_d + cfg.fill_headroom, max_d); + std::vector target_map(static_cast(gnx) * gny, base_target); + + std::vector best_fills; + DensityMap dm_after = dm_before; + int iter = 0; + for (; iter < std::max(cfg.max_iterations, 1); ++iter) { + std::vector fills = partitioned_fill( + polys, rule, g, parts, *backend, target_map, gnx, gny, area.xmin, area.ymin, max_d); + + Grid total = occ_before; // copy existing occupancy + for (const auto& f : fills) { + BBox b = f.bbox(); + stamp_rect(total, b.xmin, b.ymin, b.xmax, b.ymax, 1); + } + SummedAreaTable sat_after = backend->build_sat(total); + DensityMap dm = backend->compute_density(sat_after, g.win_c, g.step_c); + + best_fills = std::move(fills); + dm_after = dm; + + // Update targets from the achieved density (DRC feedback). + bool changed = false; + const int dx[4] = {1, -1, 0, 0}; + const int dy[4] = {0, 0, 1, -1}; + for (int ty = 0; ty < gny; ++ty) { + for (int tx = 0; tx < gnx; ++tx) { + size_t idx = static_cast(ty) * gnx + tx; + double here = dm.at(tx, ty).density; + double need = target_map[idx]; + if (here < min_d - 1e-9) need = std::max(need, base_target); + if (grad > 0) { + for (int k = 0; k < 4; ++k) { + int nx = tx + dx[k], ny = ty + dy[k]; + if (nx < 0 || ny < 0 || nx >= gnx || ny >= gny) continue; + double nd = dm.at(nx, ny).density; + // Overshoot by grad_headroom so the achieved density + // (which lands just below target) still clears the + // gradient limit despite discrete fill quanta. + if (nd - here > grad + 1e-9) + need = std::max(need, nd - grad + cfg.grad_headroom); + } + } + need = std::min(need, max_d); + if (need > target_map[idx] + 1e-9) { + target_map[idx] = need; + changed = true; + } + } + } + if (!changed) { + ++iter; + break; + } + } + res.iterations = iter; + + // ---- append fills + final DRC -------------------------------------- + res.fill_shapes = static_cast(best_fills.size()); + Grid fill_occ = make_grid(area, g.cell); + for (const auto& f : best_fills) { + BBox b = f.bbox(); + stamp_rect(fill_occ, b.xmin, b.ymin, b.xmax, b.ymax, 1); + } + Grid total = occ_before; + for (const auto& f : best_fills) { + BBox b = f.bbox(); + stamp_rect(total, b.xmin, b.ymin, b.xmax, b.ymax, 1); + } + SummedAreaTable sat_total = backend->build_sat(total); + Grid blocked = backend->compute_keepout(occ_before, g.keep_c); + res.drc = run_drc(sat_total, blocked, fill_occ, g.win_c, g.step_c, rule, dppu, g.cell); + + res.density_after_min = dm_after.min_density(); + res.density_after_mean = dm_after.mean_density(); + res.density_after_max = dm_after.max_density(); + + layout.polygons.insert(layout.polygons.end(), best_fills.begin(), best_fills.end()); + + auto t1 = std::chrono::steady_clock::now(); + res.seconds = std::chrono::duration(t1 - t0).count(); + summary.layers.push_back(std::move(res)); + } + + auto t_all1 = std::chrono::steady_clock::now(); + summary.total_seconds = std::chrono::duration(t_all1 - t_all0).count(); + return summary; +} + +int FillSummary::total_violations() const { + int c = 0; + for (const auto& l : layers) c += static_cast(l.drc.violations.size()); + return c; +} +int FillSummary::total_fill_shapes() const { + int c = 0; + for (const auto& l : layers) c += l.fill_shapes; + return c; +} + +std::string format_report(const FillSummary& summary) { + std::ostringstream os; + os << std::fixed << std::setprecision(3); + os << "===== Metal Fill Report =====\n"; + os << "backend : " << summary.backend << "\n"; + os << "total time : " << summary.total_seconds << " s\n"; + os << "total fill : " << summary.total_fill_shapes() << " shapes\n"; + os << "total DRC : " << summary.total_violations() << " violations\n\n"; + + os << std::left << std::setw(6) << "layer" << std::setw(6) << "type" << std::setw(6) << "part" + << std::setw(8) << "exist" << std::setw(8) << "fill" << std::setw(6) << "it" + << " dens(before->after) min/mean/max drc time(s)\n"; + os << std::string(112, '-') << "\n"; + for (const auto& l : summary.layers) { + os << std::left << std::setw(6) << l.name << std::setw(6) << (l.is_beol ? "BEOL" : "FEOL") + << std::setw(6) << l.partitions << std::setw(8) << l.existing_polys << std::setw(8) + << l.fill_shapes << std::setw(6) << l.iterations << " "; + os << std::setprecision(2) << l.density_before_min << "/" << l.density_before_mean << "/" + << l.density_before_max << " -> " << l.density_after_min << "/" << l.density_after_mean + << "/" << l.density_after_max; + os << " " << std::setw(4) << static_cast(l.drc.violations.size()) << " " + << std::setprecision(3) << l.seconds << "\n"; + } + + // Detail any violations. + bool any = false; + for (const auto& l : summary.layers) + if (!l.drc.clean()) any = true; + if (any) { + os << "\n--- DRC details ---\n"; + for (const auto& l : summary.layers) + for (const auto& v : l.drc.violations) os << " " << v.message << "\n"; + } + return os.str(); +} + +} // namespace mf diff --git a/gpu_metal_fill/src/fill.cpp b/gpu_metal_fill/src/fill.cpp new file mode 100644 index 0000000..ccdf8ce --- /dev/null +++ b/gpu_metal_fill/src/fill.cpp @@ -0,0 +1,115 @@ +#include "metalfill/fill.hpp" + +#include +#include + +#include "metalfill/density.hpp" + +#ifdef _OPENMP +#include +#endif + +namespace mf { + +Grid compute_keepout(const Grid& occ, int keepout_cells) { + Grid blocked; + blocked.resize(occ.nx, occ.ny, occ.cell, occ.ox, occ.oy); + int r = std::max(keepout_cells, 0); + SummedAreaTable sat = build_sat(occ); + for (int iy = 0; iy < occ.ny; ++iy) { + for (int ix = 0; ix < occ.nx; ++ix) { + int x0 = ix - r, y0 = iy - r; + int x1 = ix + r + 1, y1 = iy + r + 1; + blocked.set(ix, iy, sat.area(x0, y0, x1, y1) > 0 ? 1 : 0); + } + } + return blocked; +} + +std::vector place_fill(const Grid& occ, const Grid& blocked, + const FillParams& params, Grid& fill_occ) { + fill_occ.resize(occ.nx, occ.ny, occ.cell, occ.ox, occ.oy); + + const int fw = std::max(params.fill_w, 1); + const int fh = std::max(params.fill_h, 1); + const int px = std::max(params.pitch_x, fw); + const int py = std::max(params.pitch_y, fh); + const int win = std::max(params.win_cells, 1); + const int step = std::max(params.step_cells, 1); + const double fill_area = static_cast(fw) * fh; + + SummedAreaTable occ_sat = build_sat(occ); + + auto ntiles = [](int n, int s) { return std::max(1, (n + s - 1) / s); }; + const int ntx = ntiles(occ.nx, step); + const int nty = ntiles(occ.ny, step); + const int ntiles_total = ntx * nty; + + std::vector> per_tile(ntiles_total); + + // Each tile writes only footprints whose origin is inside the tile and whose + // extent stays inside the tile, so the writes to fill_occ are disjoint and + // the loop is safe to run in parallel across tiles (and, later, on the GPU). +#ifdef _OPENMP +#pragma omp parallel for schedule(dynamic) +#endif + for (int t = 0; t < ntiles_total; ++t) { + int tx = t % ntx; + int ty = t / ntx; + int wx0 = tx * step; + int wy0 = ty * step; + int wx1 = std::min(wx0 + win, occ.nx); + int wy1 = std::min(wy0 + win, occ.ny); + double win_area = static_cast(wx1 - wx0) * (wy1 - wy0); + if (win_area <= 0) continue; + + double occ_cells = static_cast(occ_sat.area(wx0, wy0, wx1, wy1)); + double placed_cells = 0.0; + + // Per-window target (gradient-aware) if a target map is supplied. + double tgt = params.target_density; + if (params.target_map) { + int gx = params.goff_x + tx; + int gy = params.goff_y + ty; + if (gx >= 0 && gy >= 0 && gx < params.gnx && gy < params.gny) + tgt = (*params.target_map)[static_cast(gy) * params.gnx + gx]; + } + double target_cells = tgt * win_area; + double max_cells = params.max_density * win_area; + + auto& out = per_tile[t]; + + // First candidate origin on the global pitch lattice inside the tile. + int cx_start = ((wx0 + px - 1) / px) * px; + int cy_start = ((wy0 + py - 1) / py) * py; + + for (int cy = cy_start; cy + fh <= wy1; cy += py) { + if (occ_cells + placed_cells + fill_area > target_cells) break; + for (int cx = cx_start; cx + fw <= wx1; cx += px) { + if (occ_cells + placed_cells + fill_area > target_cells) break; + if (occ_cells + placed_cells + fill_area > max_cells) break; + + bool free = true; + for (int yy = cy; yy < cy + fh && free; ++yy) + for (int xx = cx; xx < cx + fw; ++xx) + if (blocked.at(xx, yy) || fill_occ.at(xx, yy)) { + free = false; + break; + } + if (!free) continue; + + for (int yy = cy; yy < cy + fh; ++yy) + for (int xx = cx; xx < cx + fw; ++xx) fill_occ.set(xx, yy, 1); + out.push_back(FillShape{cx, cy, fw, fh}); + placed_cells += fill_area; + } + } + } + + std::vector shapes; + for (auto& v : per_tile) + shapes.insert(shapes.end(), v.begin(), v.end()); + return shapes; +} + +} // namespace mf diff --git a/gpu_metal_fill/src/gdsii.cpp b/gpu_metal_fill/src/gdsii.cpp new file mode 100644 index 0000000..3a03c37 --- /dev/null +++ b/gpu_metal_fill/src/gdsii.cpp @@ -0,0 +1,231 @@ +#include "metalfill/gdsii.hpp" + +#include +#include +#include +#include +#include + +namespace mf { +namespace { + +// ---- GDSII record identifiers (rectype << 8 | datatype) -------------------- +constexpr uint8_t RT_HEADER = 0x00, RT_BGNLIB = 0x01, RT_LIBNAME = 0x02; +constexpr uint8_t RT_UNITS = 0x03, RT_ENDLIB = 0x04, RT_BGNSTR = 0x05; +constexpr uint8_t RT_STRNAME = 0x06, RT_ENDSTR = 0x07, RT_BOUNDARY = 0x08; +constexpr uint8_t RT_LAYER = 0x0D, RT_DATATYPE = 0x0E, RT_XY = 0x10; +constexpr uint8_t RT_ENDEL = 0x11, RT_BOX = 0x2D, RT_BOXTYPE = 0x2E; + +constexpr uint8_t DT_NODATA = 0x00, DT_INT2 = 0x02, DT_INT4 = 0x03; +constexpr uint8_t DT_REAL8 = 0x05, DT_STR = 0x06; + +// ---- big-endian helpers ---------------------------------------------------- +void put_u16(std::ofstream& os, uint16_t v) { + char b[2] = {char((v >> 8) & 0xFF), char(v & 0xFF)}; + os.write(b, 2); +} +void put_i16(std::ofstream& os, int16_t v) { put_u16(os, static_cast(v)); } +void put_i32(std::ofstream& os, int32_t v) { + char b[4] = {char((v >> 24) & 0xFF), char((v >> 16) & 0xFF), char((v >> 8) & 0xFF), + char(v & 0xFF)}; + os.write(b, 4); +} + +uint16_t get_u16(const uint8_t* p) { return (uint16_t(p[0]) << 8) | p[1]; } +int32_t get_i32(const uint8_t* p) { + return int32_t((uint32_t(p[0]) << 24) | (uint32_t(p[1]) << 16) | (uint32_t(p[2]) << 8) | + uint32_t(p[3])); +} + +// GDSII 8-byte real: sign (bit7), 7-bit excess-64 base-16 exponent, 56-bit mantissa. +void put_real8(std::ofstream& os, double v) { + uint8_t out[8] = {0}; + if (v != 0.0) { + bool neg = v < 0; + double d = std::fabs(v); + int exp = 64; + while (d >= 1.0) { d /= 16.0; ++exp; } + while (d < 1.0 / 16.0) { d *= 16.0; --exp; } + // d now in [1/16, 1); build 56-bit mantissa. + uint64_t mant = static_cast(std::llround(d * static_cast(1ULL << 56))); + out[0] = static_cast((neg ? 0x80 : 0x00) | (exp & 0x7F)); + for (int i = 7; i >= 1; --i) { + out[i] = static_cast(mant & 0xFF); + mant >>= 8; + } + } + os.write(reinterpret_cast(out), 8); +} + +double get_real8(const uint8_t* p) { + bool neg = (p[0] & 0x80) != 0; + int exp = (p[0] & 0x7F) - 64; + uint64_t mant = 0; + for (int i = 1; i < 8; ++i) mant = (mant << 8) | p[i]; + double d = static_cast(mant) / static_cast(1ULL << 56); + d *= std::pow(16.0, exp); + return neg ? -d : d; +} + +void write_record(std::ofstream& os, uint8_t rectype, uint8_t datatype, const char* data, + uint16_t data_len) { + uint16_t total = static_cast(4 + data_len); + put_u16(os, total); + char hdr[2] = {char(rectype), char(datatype)}; + os.write(hdr, 2); + if (data_len) os.write(data, data_len); +} + +void write_str(std::ofstream& os, uint8_t rectype, const std::string& s) { + std::string p = s; + if (p.size() & 1) p.push_back('\0'); // pad to even length + write_record(os, rectype, DT_STR, p.data(), static_cast(p.size())); +} + +} // namespace + +Layout read_gds(const std::string& path) { + std::ifstream is(path, std::ios::binary); + if (!is) throw std::runtime_error("cannot open GDS for read: " + path); + + Layout layout; + Polygon cur; + bool in_elem = false; + bool is_box = false; + + while (true) { + uint8_t hdr[4]; + is.read(reinterpret_cast(hdr), 4); + if (is.gcount() == 0) break; // clean EOF + if (is.gcount() != 4) throw std::runtime_error("truncated GDS record header"); + + uint16_t total = get_u16(hdr); + uint8_t rectype = hdr[2]; + uint8_t datatype = hdr[3]; + if (total < 4) throw std::runtime_error("invalid GDS record length"); + int data_len = total - 4; + std::vector data(data_len); + if (data_len) { + is.read(reinterpret_cast(data.data()), data_len); + if (is.gcount() != data_len) throw std::runtime_error("truncated GDS record body"); + } + + switch (rectype) { + case RT_UNITS: + if (data_len >= 16) { + layout.user_units_per_dbu = get_real8(data.data()); + layout.meters_per_dbu = get_real8(data.data() + 8); + } + break; + case RT_LIBNAME: + layout.lib_name.assign(reinterpret_cast(data.data()), data_len); + break; + case RT_STRNAME: + layout.cell_name.assign(reinterpret_cast(data.data()), data_len); + if (!layout.cell_name.empty() && layout.cell_name.back() == '\0') + layout.cell_name.pop_back(); + break; + case RT_BOUNDARY: + cur = Polygon{}; + in_elem = true; + is_box = false; + break; + case RT_BOX: + cur = Polygon{}; + in_elem = true; + is_box = true; + break; + case RT_LAYER: + if (in_elem && data_len >= 2) cur.layer = int(int16_t(get_u16(data.data()))); + break; + case RT_DATATYPE: + case RT_BOXTYPE: + if (in_elem && data_len >= 2) cur.datatype = int(int16_t(get_u16(data.data()))); + break; + case RT_XY: + if (in_elem) { + int npairs = data_len / 8; + cur.pts.clear(); + cur.pts.reserve(npairs); + for (int i = 0; i < npairs; ++i) { + dbu x = get_i32(data.data() + i * 8); + dbu y = get_i32(data.data() + i * 8 + 4); + cur.pts.push_back({x, y}); + } + // Drop the closing duplicate vertex if present. + if (cur.pts.size() > 1 && cur.pts.front().x == cur.pts.back().x && + cur.pts.front().y == cur.pts.back().y) + cur.pts.pop_back(); + } + break; + case RT_ENDEL: + if (in_elem && cur.pts.size() >= 3) layout.polygons.push_back(cur); + in_elem = false; + is_box = false; + break; + default: + break; // ignore HEADER/BGNLIB/PATH/SREF/etc. + } + (void)datatype; + (void)is_box; + } + return layout; +} + +void write_gds(const std::string& path, const Layout& layout) { + std::ofstream os(path, std::ios::binary); + if (!os) throw std::runtime_error("cannot open GDS for write: " + path); + + // HEADER (version 600) + char ver[2] = {0x02, 0x58}; + write_record(os, RT_HEADER, DT_INT2, ver, 2); + + // BGNLIB (24 bytes of timestamps, all zero) + char zeros[24] = {0}; + write_record(os, RT_BGNLIB, DT_INT2, zeros, 24); + write_str(os, RT_LIBNAME, layout.lib_name); + + // UNITS: [user units per dbu, meters per dbu] + put_u16(os, 20); // 4 header + 16 payload + os.put(char(RT_UNITS)); + os.put(char(DT_REAL8)); + put_real8(os, layout.user_units_per_dbu); + put_real8(os, layout.meters_per_dbu); + + // BGNSTR + write_record(os, RT_BGNSTR, DT_INT2, zeros, 24); + write_str(os, RT_STRNAME, layout.cell_name); + + for (const auto& poly : layout.polygons) { + if (poly.pts.size() < 3) continue; + write_record(os, RT_BOUNDARY, DT_NODATA, nullptr, 0); + put_u16(os, 6); // LAYER record + os.put(char(RT_LAYER)); + os.put(char(DT_INT2)); + put_i16(os, static_cast(poly.layer)); + put_u16(os, 6); // DATATYPE record + os.put(char(RT_DATATYPE)); + os.put(char(DT_INT2)); + put_i16(os, static_cast(poly.datatype)); + + // XY: points + closing vertex. + int npts = static_cast(poly.pts.size()) + 1; + uint16_t xy_len = static_cast(npts * 8); + put_u16(os, static_cast(4 + xy_len)); + os.put(char(RT_XY)); + os.put(char(DT_INT4)); + for (const auto& p : poly.pts) { + put_i32(os, static_cast(p.x)); + put_i32(os, static_cast(p.y)); + } + put_i32(os, static_cast(poly.pts.front().x)); + put_i32(os, static_cast(poly.pts.front().y)); + + write_record(os, RT_ENDEL, DT_NODATA, nullptr, 0); + } + + write_record(os, RT_ENDSTR, DT_NODATA, nullptr, 0); + write_record(os, RT_ENDLIB, DT_NODATA, nullptr, 0); +} + +} // namespace mf diff --git a/gpu_metal_fill/src/layermap.cpp b/gpu_metal_fill/src/layermap.cpp new file mode 100644 index 0000000..1615633 --- /dev/null +++ b/gpu_metal_fill/src/layermap.cpp @@ -0,0 +1,91 @@ +#include "metalfill/layermap.hpp" + +namespace mf { + +std::vector default_layermap() { + std::vector rules; + + // ---- FEOL / base layers ------------------------------------------------ + { + FillRule od; + od.name = "OD"; + od.layer = kOdLayer; + od.fill_datatype = kFillDatatype; + od.window_um = 20.0; + od.step_um = 20.0; + od.min_density = 0.25; + od.max_density = 0.75; + od.max_gradient = 0.20; + od.fill_w_um = 0.5; + od.fill_h_um = 0.5; + od.fill_pitch_x_um = 0.625; // 1.25x fill -> ~64% max coverage + od.fill_pitch_y_um = 0.625; + od.keepout_um = 0.20; + od.min_area_um2 = 0.25; + od.is_beol = false; + rules.push_back(od); + + FillRule po; + po.name = "PO"; + po.layer = kPoLayer; + po.fill_datatype = kFillDatatype; + po.window_um = 20.0; + po.step_um = 20.0; + po.min_density = 0.20; + po.max_density = 0.70; + po.max_gradient = 0.20; + po.fill_w_um = 0.4; + po.fill_h_um = 0.4; + po.fill_pitch_x_um = 0.5; // 1.25x fill + po.fill_pitch_y_um = 0.5; + po.keepout_um = 0.15; + po.min_area_um2 = 0.16; + po.is_beol = false; + rules.push_back(po); + } + + // ---- BEOL / metal layers M1..M14 -------------------------------------- + for (int n = 1; n <= kNumMetals; ++n) { + FillRule m; + m.name = "M" + std::to_string(n); + m.layer = metal_layer(n); + m.fill_datatype = kFillDatatype; + m.window_um = 20.0; + m.step_um = 20.0; + m.min_density = 0.30; + m.max_density = 0.80; + m.max_gradient = 0.15; + m.keepout_um = (n <= 6) ? 0.10 : 0.30; + m.is_beol = true; + + // Pitch is kept at 1.25x the fill size (and a divisor of the 20um + // window) so fill can reach ~64% coverage -- comfortably above the min + // density target -- while windows/pitch stay lattice-coherent. + if (n <= 6) { + // Lower/thin metals: small dense fill. + m.fill_w_um = 0.20; + m.fill_h_um = 0.20; + m.fill_pitch_x_um = 0.25; + m.fill_pitch_y_um = 0.25; + m.min_area_um2 = 0.04; + } else if (n <= 10) { + m.fill_w_um = 0.40; + m.fill_h_um = 0.40; + m.fill_pitch_x_um = 0.50; + m.fill_pitch_y_um = 0.50; + m.min_area_um2 = 0.16; + } else { + // Upper/thick metals: large fill on a coarse pitch. + m.fill_w_um = 0.80; + m.fill_h_um = 0.80; + m.fill_pitch_x_um = 1.00; + m.fill_pitch_y_um = 1.00; + m.min_area_um2 = 0.64; + } + rules.push_back(m); + } + + return rules; +} + +} // namespace mf diff --git a/gpu_metal_fill/src/partition.cpp b/gpu_metal_fill/src/partition.cpp new file mode 100644 index 0000000..b23cb73 --- /dev/null +++ b/gpu_metal_fill/src/partition.cpp @@ -0,0 +1,91 @@ +#include "metalfill/partition.hpp" + +#include + +namespace mf { + +dbu gcd_dbu(dbu a, dbu b) { + a = a < 0 ? -a : a; + b = b < 0 ? -b : b; + while (b) { + dbu t = a % b; + a = b; + b = t; + } + return a == 0 ? 1 : a; +} + +dbu lcm_dbu(dbu a, dbu b) { + if (a == 0 || b == 0) return std::max(a, b); + return (a / gcd_dbu(a, b)) * b; +} + +namespace { + +// Recurse in integer align-lattice coordinates: region [ix0,ix1) x [iy0,iy1). +void recurse(int ix0, int iy0, int ix1, int iy1, int depth, const PartitionConfig& cfg, + std::vector& out) { + int nx = ix1 - ix0; + int ny = iy1 - iy0; + if (nx <= 0 || ny <= 0) return; + + bool leaf = (nx <= cfg.max_leaf && ny <= cfg.max_leaf) || depth >= cfg.max_depth; + if (leaf) { + PartitionRect pr; + pr.depth = depth; + pr.core.xmin = cfg.anchor_x + static_cast(ix0) * cfg.align_x; + pr.core.xmax = cfg.anchor_x + static_cast(ix1) * cfg.align_x; + pr.core.ymin = cfg.anchor_y + static_cast(iy0) * cfg.align_y; + pr.core.ymax = cfg.anchor_y + static_cast(iy1) * cfg.align_y; + // Clamp emission core to the die bounds. + if (cfg.clip.valid()) { + pr.core.xmin = std::max(pr.core.xmin, cfg.clip.xmin); + pr.core.ymin = std::max(pr.core.ymin, cfg.clip.ymin); + pr.core.xmax = std::min(pr.core.xmax, cfg.clip.xmax); + pr.core.ymax = std::min(pr.core.ymax, cfg.clip.ymax); + } + pr.halo.xmin = pr.core.xmin - cfg.margin; + pr.halo.ymin = pr.core.ymin - cfg.margin; + pr.halo.xmax = pr.core.xmax + cfg.margin; + pr.halo.ymax = pr.core.ymax + cfg.margin; + if (pr.core.xmax > pr.core.xmin && pr.core.ymax > pr.core.ymin) out.push_back(pr); + return; + } + + bool split_x = nx > 1; + bool split_y = ny > 1; + int mx = ix0 + (nx + 1) / 2; + int my = iy0 + (ny + 1) / 2; + + if (split_x && split_y) { + // Quadtree split into four children. + recurse(ix0, iy0, mx, my, depth + 1, cfg, out); + recurse(mx, iy0, ix1, my, depth + 1, cfg, out); + recurse(ix0, my, mx, iy1, depth + 1, cfg, out); + recurse(mx, my, ix1, iy1, depth + 1, cfg, out); + } else if (split_x) { + recurse(ix0, iy0, mx, iy1, depth + 1, cfg, out); + recurse(mx, iy0, ix1, iy1, depth + 1, cfg, out); + } else { + recurse(ix0, iy0, ix1, my, depth + 1, cfg, out); + recurse(ix0, my, ix1, iy1, depth + 1, cfg, out); + } +} + +} // namespace + +std::vector partition_recursive(const BBox& area, const PartitionConfig& cfg) { + std::vector out; + if (!area.valid() || cfg.align_x <= 0 || cfg.align_y <= 0) return out; + + dbu w = area.xmax - cfg.anchor_x; + dbu h = area.ymax - cfg.anchor_y; + int nX = static_cast((w + cfg.align_x - 1) / cfg.align_x); + int nY = static_cast((h + cfg.align_y - 1) / cfg.align_y); + nX = std::max(nX, 1); + nY = std::max(nY, 1); + recurse(0, 0, nX, nY, 0, cfg, out); + return out; +} + +} // namespace mf diff --git a/gpu_metal_fill/src/raster.cpp b/gpu_metal_fill/src/raster.cpp new file mode 100644 index 0000000..ab9a1ef --- /dev/null +++ b/gpu_metal_fill/src/raster.cpp @@ -0,0 +1,80 @@ +#include "metalfill/raster.hpp" + +#include +#include + +namespace mf { + +Grid make_grid(const BBox& area, dbu cell) { + Grid g; + if (cell <= 0) cell = 1; + dbu ox = area.valid() ? area.xmin : 0; + dbu oy = area.valid() ? area.ymin : 0; + dbu w = area.valid() ? area.width() : 0; + dbu h = area.valid() ? area.height() : 0; + // Enough cells to fully cover the area (ceil). + int nx = static_cast((w + cell - 1) / cell); + int ny = static_cast((h + cell - 1) / cell); + g.resize(std::max(nx, 1), std::max(ny, 1), cell, ox, oy); + return g; +} + +void stamp_rect(Grid& grid, dbu x0, dbu y0, dbu x1, dbu y1, uint8_t value) { + if (x1 < x0) std::swap(x0, x1); + if (y1 < y0) std::swap(y1, y0); + // Cells whose center lies within [x0,x1) x [y0,y1). + int ix0 = static_cast(std::floor((static_cast(x0 - grid.ox)) / grid.cell)); + int iy0 = static_cast(std::floor((static_cast(y0 - grid.oy)) / grid.cell)); + int ix1 = static_cast(std::ceil((static_cast(x1 - grid.ox)) / grid.cell)); + int iy1 = static_cast(std::ceil((static_cast(y1 - grid.oy)) / grid.cell)); + ix0 = std::max(ix0, 0); + iy0 = std::max(iy0, 0); + ix1 = std::min(ix1, grid.nx); + iy1 = std::min(iy1, grid.ny); + for (int iy = iy0; iy < iy1; ++iy) + for (int ix = ix0; ix < ix1; ++ix) grid.set(ix, iy, value); +} + +void rasterize(Grid& grid, const std::vector& polys, int layer, int datatype) { + for (const auto& poly : polys) { + if (poly.layer != layer || poly.datatype != datatype) continue; + if (poly.pts.size() < 3) continue; + + BBox b = poly.bbox(); + int row0 = static_cast(std::floor((static_cast(b.ymin - grid.oy)) / grid.cell)); + int row1 = static_cast(std::ceil((static_cast(b.ymax - grid.oy)) / grid.cell)); + row0 = std::max(row0, 0); + row1 = std::min(row1, grid.ny); + + const size_t n = poly.pts.size(); + std::vector xs; + for (int iy = row0; iy < row1; ++iy) { + // Scanline at the vertical center of the cell row. + double yc = grid.oy + (iy + 0.5) * grid.cell; + xs.clear(); + for (size_t i = 0; i < n; ++i) { + const Point& a = poly.pts[i]; + const Point& c = poly.pts[(i + 1) % n]; + double ay = a.y, cy = c.y; + if ((ay <= yc && cy > yc) || (cy <= yc && ay > yc)) { + double t = (yc - ay) / (cy - ay); + xs.push_back(a.x + t * (c.x - a.x)); + } + } + std::sort(xs.begin(), xs.end()); + for (size_t k = 0; k + 1 < xs.size(); k += 2) { + double xl = xs[k], xr = xs[k + 1]; + // Cells whose center is inside [xl, xr). + int cx0 = static_cast( + std::ceil((xl - grid.ox) / grid.cell - 0.5)); + int cx1 = static_cast( + std::floor((xr - grid.ox) / grid.cell - 0.5)); + cx0 = std::max(cx0, 0); + cx1 = std::min(cx1, grid.nx - 1); + for (int ix = cx0; ix <= cx1; ++ix) grid.set(ix, iy, 1); + } + } + } +} + +} // namespace mf diff --git a/gpu_metal_fill/tests/test_main.cpp b/gpu_metal_fill/tests/test_main.cpp new file mode 100644 index 0000000..2ec65a0 --- /dev/null +++ b/gpu_metal_fill/tests/test_main.cpp @@ -0,0 +1,241 @@ +// Lightweight, dependency-free test harness for the metal-fill library. +#include +#include +#include +#include +#include + +#include "metalfill/density.hpp" +#include "metalfill/drc.hpp" +#include "metalfill/engine.hpp" +#include "metalfill/fill.hpp" +#include "metalfill/gdsii.hpp" +#include "metalfill/layermap.hpp" +#include "metalfill/partition.hpp" +#include "metalfill/raster.hpp" + +using namespace mf; + +static int g_fails = 0; +static int g_checks = 0; +#define CHECK(cond, msg) \ + do { \ + ++g_checks; \ + if (!(cond)) { \ + ++g_fails; \ + std::printf(" FAIL: %s (%s:%d)\n", msg, __FILE__, __LINE__); \ + } \ + } while (0) + +static void test_gds_roundtrip() { + std::printf("[gds roundtrip]\n"); + Layout L; + L.cell_name = "TOP"; + L.polygons.push_back(make_rect(10, 0, 0, 0, 5000, 3000)); + L.polygons.push_back(make_rect(23, 5, -2000, -1000, 4000, 7000)); + const std::string path = "build/_test_rt.gds"; + write_gds(path, L); + Layout R = read_gds(path); + CHECK(R.polygons.size() == 2, "polygon count preserved"); + CHECK(R.cell_name == "TOP", "cell name preserved"); + CHECK(std::llround(R.dbu_per_um()) == 1000, "units preserved (1000 dbu/um)"); + bool found = false; + for (const auto& p : R.polygons) + if (p.layer == 23 && p.datatype == 5) { + BBox b = p.bbox(); + found = (b.xmin == -2000 && b.ymin == -1000 && b.xmax == 4000 && b.ymax == 7000); + } + CHECK(found, "layer/datatype/coords preserved"); +} + +static void test_sat_density() { + std::printf("[sat + density]\n"); + Grid g; + g.resize(4, 4, 100, 0, 0); + // Fill a 2x2 block in the corner. + for (int y = 0; y < 2; ++y) + for (int x = 0; x < 2; ++x) g.set(x, y, 1); + SummedAreaTable sat = build_sat(g); + CHECK(sat.area(0, 0, 4, 4) == 4, "total occupied = 4"); + CHECK(sat.area(0, 0, 2, 2) == 4, "block area = 4"); + CHECK(sat.area(2, 2, 4, 4) == 0, "empty quadrant = 0"); + DensityMap dm = compute_density(sat, 2, 2); // four 2x2 windows + CHECK(dm.ntiles_x == 2 && dm.ntiles_y == 2, "2x2 tiling"); + CHECK(std::fabs(dm.at(0, 0).density - 1.0) < 1e-9, "corner window density 1.0"); + CHECK(std::fabs(dm.at(1, 1).density - 0.0) < 1e-9, "far window density 0.0"); + CHECK(std::fabs(dm.mean_density() - 0.25) < 1e-9, "mean density 0.25"); +} + +static void test_rasterize_rect() { + std::printf("[rasterize]\n"); + Grid g = make_grid(BBox{0, 0, 1000, 1000}, 100); // 10x10 cells (11x11 with +1) + std::vector polys = {make_rect(1, 0, 200, 200, 700, 700)}; + rasterize(g, polys, 1, 0); + // 500x500 dbu rect at 100 dbu/cell -> ~5x5 = 25 cells. + CHECK(g.count() == 25, "rasterized rect area = 25 cells"); +} + +static void test_keepout() { + std::printf("[keepout dilation]\n"); + Grid g; + g.resize(7, 7, 100, 0, 0); + g.set(3, 3, 1); // single occupied cell in the middle + Grid b = compute_keepout(g, 1); + CHECK(b.at(3, 3) == 1, "center blocked"); + CHECK(b.at(2, 2) == 1 && b.at(4, 4) == 1, "diagonal neighbors blocked (r=1)"); + CHECK(b.at(1, 1) == 0, "distance-2 cell not blocked"); + Grid b0 = compute_keepout(g, 0); + CHECK(b0.count() == 1, "r=0 keepout equals occupancy"); +} + +static void test_place_fill() { + std::printf("[place fill]\n"); + Grid occ; + occ.resize(40, 40, 100, 0, 0); // empty layer + Grid blocked = compute_keepout(occ, 0); + FillParams fp; + fp.fill_w = 1; + fp.fill_h = 1; + fp.pitch_x = 2; + fp.pitch_y = 2; + fp.win_cells = 40; + fp.step_cells = 40; + fp.target_density = 0.20; + fp.max_density = 0.80; + Grid fill_occ; + auto shapes = place_fill(occ, blocked, fp, fill_occ); + double dens = double(fill_occ.count()) / (40.0 * 40.0); + CHECK(!shapes.empty(), "fill placed"); + CHECK(dens >= 0.20 - 1e-6, "reached target density"); + CHECK(dens <= 0.80 + 1e-6, "did not exceed max density"); + + // With keepout covering everything, no fill can be placed. + Grid occ2; + occ2.resize(10, 10, 100, 0, 0); + for (auto& v : occ2.occ) v = 1; + Grid blocked2 = compute_keepout(occ2, 0); + Grid fo2; + auto s2 = place_fill(occ2, blocked2, fp, fo2); + CHECK(s2.empty(), "no fill where fully blocked"); +} + +static void test_partition_cover() { + std::printf("[partition cover]\n"); + BBox area{0, 0, 100000, 100000}; // 100um die + PartitionConfig pc; + pc.anchor_x = 0; + pc.anchor_y = 0; + pc.align_x = 20000; // 20um + pc.align_y = 20000; + pc.margin = 20000; + pc.max_leaf = 2; + pc.clip = area; + auto parts = partition_recursive(area, pc); + CHECK(parts.size() >= 4, "die split into multiple leaves"); + + // Cores must be disjoint and exactly cover the die area (by summed area). + long long covered = 0; + bool aligned = true; + for (const auto& p : parts) { + covered += (long long)p.core.width() * p.core.height(); + if ((p.core.xmin % pc.align_x) != 0 || (p.core.ymin % pc.align_y) != 0) aligned = false; + CHECK(p.halo.xmin <= p.core.xmin && p.halo.xmax >= p.core.xmax, "halo contains core"); + } + CHECK(aligned, "core edges aligned to lattice"); + CHECK(covered == (long long)area.width() * area.height(), "cores tile the die exactly"); +} + +// The whole point of partitioning: the merged result must match a single-shot +// (global) fill. We run the engine with a tiny leaf size and with a huge leaf +// size (one partition) and require identical post-fill density. +static void test_partition_equals_global() { + std::printf("[partition == global]\n"); + Layout base; + base.cell_name = "TOP"; + const dbu win = 20000; + for (int j = 0; j < 5; ++j) + for (int i = 0; i < 5; ++i) { + double f = 0.05 + 0.05 * ((i + j) % 7); + double s = std::sqrt(f) * win; + dbu x0 = i * win + dbu((win - s) / 2); + dbu y0 = j * win + dbu((win - s) / 2); + base.polygons.push_back(make_rect(metal_layer(3), 0, x0, y0, x0 + dbu(s), y0 + dbu(s))); + } + + std::vector rules; + for (const auto& r : default_layermap()) + if (r.name == "M3") rules.push_back(r); + + Layout a = base, b = base; + EngineConfig ca; + ca.max_leaf = 1; // finely partitioned + ca.max_iterations = 3; + EngineConfig cb; + cb.max_leaf = 100000; // effectively one partition (global) + cb.max_iterations = 3; + + FillSummary sa = run_fill(a, rules, ca); + FillSummary sb = run_fill(b, rules, cb); + + CHECK(sa.layers[0].partitions > 1, "fine config actually partitioned"); + CHECK(sb.layers[0].partitions == 1, "global config is a single partition"); + CHECK(sa.layers[0].fill_shapes == sb.layers[0].fill_shapes, + "same number of fill shapes partitioned vs global"); + CHECK(std::fabs(sa.layers[0].density_after_mean - sb.layers[0].density_after_mean) < 1e-6, + "same post-fill mean density"); + CHECK(std::fabs(sa.layers[0].density_after_min - sb.layers[0].density_after_min) < 1e-6, + "same post-fill min density"); +} + +static void test_engine_endtoend() { + std::printf("[engine end-to-end]\n"); + Layout L; + L.cell_name = "TOP"; + const dbu win = 20000; + auto rules = default_layermap(); + int li = 0; + for (const auto& r : rules) { + for (int j = 0; j < 5; ++j) + for (int i = 0; i < 5; ++i) { + double f = 0.04 + 0.06 * ((i + j + li) % 9); + double s = std::sqrt(f) * win; + dbu x0 = i * win + dbu((win - s) / 2); + dbu y0 = j * win + dbu((win - s) / 2); + L.polygons.push_back(make_rect(r.layer, r.datatype, x0, y0, x0 + dbu(s), y0 + dbu(s))); + } + ++li; + } + size_t before = L.polygons.size(); + EngineConfig cfg; + cfg.max_iterations = 3; + FillSummary sum = run_fill(L, rules, cfg); + + CHECK(L.polygons.size() > before, "fill polygons appended"); + CHECK(sum.total_fill_shapes() > 0, "fill produced"); + // No spacing or max-density violations may ever be produced by the tool. + int spacing = 0, maxd = 0; + for (const auto& l : sum.layers) { + spacing += l.drc.count(ViolationType::Spacing); + maxd += l.drc.count(ViolationType::MaxDensity); + } + CHECK(spacing == 0, "no fill-in-keepout spacing violations"); + CHECK(maxd == 0, "no max-density violations"); + for (const auto& l : sum.layers) { + CHECK(l.density_after_min >= l.density_before_min - 1e-9, "min density did not decrease"); + CHECK(l.density_after_mean >= l.density_before_mean - 1e-9, "mean density did not decrease"); + } +} + +int main() { + std::printf("== metalfill tests ==\n"); + test_gds_roundtrip(); + test_sat_density(); + test_rasterize_rect(); + test_keepout(); + test_place_fill(); + test_partition_cover(); + test_partition_equals_global(); + test_engine_endtoend(); + std::printf("\n%d checks, %d failures\n", g_checks, g_fails); + return g_fails == 0 ? 0 : 1; +} diff --git a/gpu_metal_fill/tools/make_dummy_gds.cpp b/gpu_metal_fill/tools/make_dummy_gds.cpp new file mode 100644 index 0000000..44dc7f2 --- /dev/null +++ b/gpu_metal_fill/tools/make_dummy_gds.cpp @@ -0,0 +1,67 @@ +// Generates a dummy GDSII with FEOL base layers (OD, PO) and BEOL metals +// (M1..M14). Each 20um window is given a deterministic, spatially varying +// existing density so the fill engine has real work to do (some windows below +// the min-density target, some already dense, with gradients across the die). +#include +#include +#include +#include + +#include "metalfill/gdsii.hpp" +#include "metalfill/layermap.hpp" + +using namespace mf; + +int main(int argc, char** argv) { + std::string out = "dummy.gds"; + int windows = 5; // 5x5 windows -> 100um die + for (int i = 1; i < argc; ++i) { + std::string a = argv[i]; + if (a == "-o" && i + 1 < argc) + out = argv[++i]; + else if (a == "-n" && i + 1 < argc) + windows = std::atoi(argv[++i]); + else if (a == "-h" || a == "--help") { + std::cout << "usage: make_dummy_gds [-o out.gds] [-n windows_per_side]\n"; + return 0; + } + } + + Layout L; + L.lib_name = "METALFILL"; + L.cell_name = "TOP"; + const double dppu = L.dbu_per_um(); // 1000 dbu / um + const dbu win = static_cast(20.0 * dppu); // 20um window + + auto rules = default_layermap(); + int layer_index = 0; + for (const auto& r : rules) { + for (int j = 0; j < windows; ++j) { + for (int i = 0; i < windows; ++i) { + // Spatially varying density, offset per layer so stacks differ. + int phase = (i + j + layer_index) % 9; + double f = 0.04 + 0.06 * phase; // 0.04 .. 0.52 + if (f < 0.0) f = 0.0; + if (f > 0.85) f = 0.85; + double s = std::sqrt(f) * win; // side of a centered square + dbu wx0 = static_cast(i) * win; + dbu wy0 = static_cast(j) * win; + dbu off = static_cast((win - s) / 2.0); + dbu x0 = wx0 + off; + dbu y0 = wy0 + off; + dbu x1 = x0 + static_cast(s); + dbu y1 = y0 + static_cast(s); + if (x1 > x0 && y1 > y0) + L.polygons.push_back(make_rect(r.layer, r.datatype, x0, y0, x1, y1)); + } + } + ++layer_index; + } + + write_gds(out, L); + BBox b = L.bbox(); + std::cout << "wrote " << out << ": " << L.polygons.size() << " polygons, die " + << (b.width() / dppu) << " x " << (b.height() / dppu) << " um, " << rules.size() + << " layers\n"; + return 0; +} diff --git a/gpu_metal_fill/tools/render_layer.cpp b/gpu_metal_fill/tools/render_layer.cpp new file mode 100644 index 0000000..466ede4 --- /dev/null +++ b/gpu_metal_fill/tools/render_layer.cpp @@ -0,0 +1,116 @@ +// Renders one layer of a GDSII to a PPM image: existing geometry, dummy fill, +// and the recursive-partition (quadtree) core boundaries. Useful for eyeballing +// what the fill engine produced. +#include +#include +#include +#include +#include +#include +#include + +#include "metalfill/engine.hpp" +#include "metalfill/gdsii.hpp" +#include "metalfill/layermap.hpp" +#include "metalfill/partition.hpp" +#include "metalfill/raster.hpp" + +using namespace mf; + +struct Img { + int w, h; + std::vector px; // RGB + Img(int w_, int h_) : w(w_), h(h_), px(size_t(w_) * h_ * 3, 255) {} + void set(int x, int y, uint8_t r, uint8_t g, uint8_t b) { + if (x < 0 || y < 0 || x >= w || y >= h) return; + size_t i = (size_t(y) * w + x) * 3; + px[i] = r; + px[i + 1] = g; + px[i + 2] = b; + } + void hline(int x0, int x1, int y, uint8_t r, uint8_t g, uint8_t b) { + for (int x = x0; x <= x1; ++x) set(x, y, r, g, b); + } + void vline(int x, int y0, int y1, uint8_t r, uint8_t g, uint8_t b) { + for (int y = y0; y <= y1; ++y) set(x, y, r, g, b); + } + void write_ppm(const std::string& path) { + std::ofstream os(path, std::ios::binary); + os << "P6\n" << w << " " << h << "\n255\n"; + os.write(reinterpret_cast(px.data()), px.size()); + } +}; + +int main(int argc, char** argv) { + std::string in, out = "layer.ppm"; + int target_layer = metal_layer(3); // M3 by default + int px_target = 900; + for (int i = 1; i < argc; ++i) { + std::string a = argv[i]; + if (a == "-i" && i + 1 < argc) in = argv[++i]; + else if (a == "-o" && i + 1 < argc) out = argv[++i]; + else if (a == "-l" && i + 1 < argc) target_layer = std::atoi(argv[++i]); + else if (a == "-p" && i + 1 < argc) px_target = std::atoi(argv[++i]); + } + if (in.empty()) { std::fprintf(stderr, "usage: render_layer -i in.gds -o out.ppm [-l layer]\n"); return 2; } + + Layout L = read_gds(in); + BBox area = L.bbox(); + if (!area.valid()) { std::fprintf(stderr, "empty layout\n"); return 1; } + + dbu cell = std::max(area.width() / px_target, 1); + Grid ge = make_grid(area, cell), gf = make_grid(area, cell); + rasterize(ge, L.polygons, target_layer, 0); + rasterize(gf, L.polygons, target_layer, kFillDatatype); + + int W = ge.nx, H = ge.ny; + Img img(W, H); + + auto to_px = [&](dbu x, dbu y, int& ix, int& iy) { + ix = int((x - area.xmin) / cell); + iy = H - 1 - int((y - area.ymin) / cell); + }; + + // Light window grid every 20um. + dbu win = static_cast(20.0 * L.dbu_per_um()); + for (dbu x = area.xmin; x <= area.xmax; x += win) { + int ix, iy; + to_px(x, area.ymin, ix, iy); + img.vline(ix, 0, H - 1, 235, 235, 235); + } + for (dbu y = area.ymin; y <= area.ymax; y += win) { + int ix, iy; + to_px(area.xmin, y, ix, iy); + img.hline(0, W - 1, iy, 235, 235, 235); + } + + // Existing geometry (navy) and fill (orange). + for (int y = 0; y < H; ++y) + for (int x = 0; x < W; ++x) { + int row = H - 1 - y; + if (ge.at(x, y)) img.set(x, row, 30, 60, 150); + else if (gf.at(x, y)) img.set(x, row, 250, 160, 60); + } + + // Recursive-partition (quadtree) core boundaries in red. + dbu align = lcm_dbu(win, win); + PartitionConfig pc; + pc.anchor_x = area.xmin; pc.anchor_y = area.ymin; + pc.align_x = align; pc.align_y = align; + pc.margin = align; pc.max_leaf = 2; pc.clip = area; + for (const auto& part : partition_recursive(area, pc)) { + int x0, y0, x1, y1; + to_px(part.core.xmin, part.core.ymin, x0, y0); + to_px(part.core.xmax, part.core.ymax, x1, y1); + if (x1 < x0) std::swap(x0, x1); + if (y1 < y0) std::swap(y0, y1); + img.hline(x0, x1, y0, 220, 30, 30); + img.hline(x0, x1, y1, 220, 30, 30); + img.vline(x0, y0, y1, 220, 30, 30); + img.vline(x1, y0, y1, 220, 30, 30); + } + + img.write_ppm(out); + std::printf("wrote %s (%dx%d) layer=%d\n", out.c_str(), W, H, target_layer); + return 0; +} diff --git a/gpu_metal_fill/tools/run_fill.cpp b/gpu_metal_fill/tools/run_fill.cpp new file mode 100644 index 0000000..7a01470 --- /dev/null +++ b/gpu_metal_fill/tools/run_fill.cpp @@ -0,0 +1,58 @@ +// Reads a GDSII, runs recursive-partitioned FEOL/BEOL metal fill, writes the +// filled GDSII and a text report. +#include +#include +#include +#include + +#include "metalfill/engine.hpp" +#include "metalfill/gdsii.hpp" +#include "metalfill/layermap.hpp" + +using namespace mf; + +int main(int argc, char** argv) { + std::string in, out = "filled.gds", report; + EngineConfig cfg; + for (int i = 1; i < argc; ++i) { + std::string a = argv[i]; + if ((a == "-i" || a == "--in") && i + 1 < argc) + in = argv[++i]; + else if ((a == "-o" || a == "--out") && i + 1 < argc) + out = argv[++i]; + else if ((a == "-r" || a == "--report") && i + 1 < argc) + report = argv[++i]; + else if (a == "--iters" && i + 1 < argc) + cfg.max_iterations = std::atoi(argv[++i]); + else if (a == "--gpu") + cfg.prefer_gpu = true; + else if (a == "-h" || a == "--help") { + std::cout << "usage: run_fill -i in.gds [-o filled.gds] [-r report.txt] " + "[--iters N] [--gpu]\n"; + return 0; + } else if (in.empty()) { + in = a; + } + } + if (in.empty()) { + std::cerr << "error: no input GDS (use -i in.gds)\n"; + return 2; + } + + Layout layout = read_gds(in); + std::cout << "read " << in << ": " << layout.polygons.size() << " polygons\n"; + + auto rules = default_layermap(); + FillSummary summary = run_fill(layout, rules, cfg); + + write_gds(out, layout); + std::string rpt = format_report(summary); + std::cout << rpt; + std::cout << "wrote filled GDS: " << out << " (" << layout.polygons.size() << " polygons)\n"; + if (!report.empty()) { + std::ofstream f(report); + f << rpt; + std::cout << "wrote report: " << report << "\n"; + } + return summary.total_violations() == 0 ? 0 : 1; +} From b1f91f04c7f9eed5456db4620700021abd523b57 Mon Sep 17 00:00:00 2001 From: Cursor Agent Date: Fri, 3 Jul 2026 02:15:23 +0000 Subject: [PATCH 2/5] Add synthetic GPU-block GDS generator (make_gpu_block) - 3x3 SM tiles with SRAM macros (register file + shared memory) + logic - routing channels, clock/spine routes, and a sparse top-metal power grid - gives each layer a distinct density profile for realistic fill testing - add 'make gpu-demo' target; fills cleanly with 0 DRC violations Co-authored-by: Sethupathi Balakrishnan --- gpu_metal_fill/Makefile | 9 +- gpu_metal_fill/README.md | 25 +++- gpu_metal_fill/tools/make_gpu_block.cpp | 161 ++++++++++++++++++++++++ 3 files changed, 190 insertions(+), 5 deletions(-) create mode 100644 gpu_metal_fill/tools/make_gpu_block.cpp diff --git a/gpu_metal_fill/Makefile b/gpu_metal_fill/Makefile index 97e2c97..3221b78 100644 --- a/gpu_metal_fill/Makefile +++ b/gpu_metal_fill/Makefile @@ -20,7 +20,7 @@ BUILD := build LIB_SRC := $(wildcard src/*.cpp) LIB_OBJ := $(patsubst src/%.cpp,$(BUILD)/%.o,$(LIB_SRC)) -TOOLS := $(BUILD)/make_dummy_gds $(BUILD)/run_fill $(BUILD)/render_layer +TOOLS := $(BUILD)/make_dummy_gds $(BUILD)/make_gpu_block $(BUILD)/run_fill $(BUILD)/render_layer TESTS := $(BUILD)/test_main .PHONY: all tools test demo clean @@ -36,6 +36,9 @@ $(BUILD)/%.o: src/%.cpp | $(BUILD) $(BUILD)/make_dummy_gds: tools/make_dummy_gds.cpp $(LIB_OBJ) | $(BUILD) $(CXX) $(CXXFLAGS) $< $(LIB_OBJ) -o $@ $(LDFLAGS) +$(BUILD)/make_gpu_block: tools/make_gpu_block.cpp $(LIB_OBJ) | $(BUILD) + $(CXX) $(CXXFLAGS) $< $(LIB_OBJ) -o $@ $(LDFLAGS) + $(BUILD)/run_fill: tools/run_fill.cpp $(LIB_OBJ) | $(BUILD) $(CXX) $(CXXFLAGS) $< $(LIB_OBJ) -o $@ $(LDFLAGS) @@ -52,5 +55,9 @@ demo: tools $(BUILD)/make_dummy_gds -o $(BUILD)/dummy.gds $(BUILD)/run_fill -i $(BUILD)/dummy.gds -o $(BUILD)/filled.gds -r $(BUILD)/report.txt +gpu-demo: tools + $(BUILD)/make_gpu_block -o $(BUILD)/gpu_block.gds + $(BUILD)/run_fill -i $(BUILD)/gpu_block.gds -o $(BUILD)/gpu_filled.gds -r $(BUILD)/gpu_report.txt + clean: rm -rf $(BUILD) diff --git a/gpu_metal_fill/README.md b/gpu_metal_fill/README.md index 054d6f0..b99d64e 100644 --- a/gpu_metal_fill/README.md +++ b/gpu_metal_fill/README.md @@ -56,14 +56,31 @@ equivalent to a single-shot global fill. ```sh make # builds tools into build/ make test # builds and runs the unit tests -make demo # generate dummy.gds -> filled.gds + report.txt +make demo # simple synthetic layout -> filled.gds + report.txt +make gpu-demo # realistic GPU-block layout -> gpu_filled.gds + gpu_report.txt # manual -build/make_dummy_gds -o build/dummy.gds -build/run_fill -i build/dummy.gds -o build/filled.gds -r build/report.txt -build/render_layer -i build/filled.gds -o build/m3.ppm -l 12 # visualize M3 +build/make_gpu_block -o build/gpu_block.gds # synthetic GPU block +build/run_fill -i build/gpu_block.gds -o build/gpu_filled.gds -r build/report.txt +build/render_layer -i build/gpu_filled.gds -o build/m1.ppm -l 10 # visualize M1 +# convert the PPM to PNG if you like: ffmpeg -i build/m1.ppm build/m1.png ``` +### The GPU-block test design + +`make_gpu_block` generates a synthetic — but structurally realistic — GPU block +(it is **not** a real design, just the floorplan-level density structure): + +- an `NxN` grid of SM (streaming-multiprocessor) tiles, each with two SRAM + macros (register file + shared memory) and a standard-cell logic region, +- routing channels between tiles (bus routing on mid metals), +- global clock/spine routes (M9/M10), and +- a regular, sparse power grid on the top metals (M11..M14). + +Each layer therefore has a distinct density profile — dense macros/logic on the +lower layers, near-empty upper layers with only power straps — so fill has varied +work on every layer. + `make OPENMP=0` builds a serial version. ## Layout of the code diff --git a/gpu_metal_fill/tools/make_gpu_block.cpp b/gpu_metal_fill/tools/make_gpu_block.cpp new file mode 100644 index 0000000..105c9e1 --- /dev/null +++ b/gpu_metal_fill/tools/make_gpu_block.cpp @@ -0,0 +1,161 @@ +// Generates a synthetic but realistic "GPU block" GDSII to exercise the fill +// engine. It is NOT a real design -- it just reproduces the *floorplan-level +// density structure* a GPU block would have so that fill has varied work: +// +// * A grid of SM (streaming-multiprocessor) tiles. Each tile has two SRAM +// macros (register file + shared memory) and a standard-cell logic region. +// * SRAM macros: very dense on OD/PO/M1..M3 (bitcell arrays), open above. +// * Logic regions: medium-density cell rows (OD/PO) + local routing (M1..M3), +// with per-tile variation. +// * Routing channels between tiles: bus routing on mid metals (M4..M8). +// * Global clock/spine routes on M9/M10. +// * A regular power grid (wide straps) on the top metals (M11..M14), which is +// sparse (~15-20%) and therefore needs fill up to the min-density target. +// +// GDS layers follow metalfill/layermap.hpp: OD=1, PO=2, M1..M14=10..23, dt 0. +#include +#include +#include +#include +#include + +#include "metalfill/gdsii.hpp" +#include "metalfill/layermap.hpp" + +using namespace mf; + +namespace { + +struct Gen { + Layout L; + double dppu; + uint64_t s = 0x9e3779b97f4a7c15ULL; + + dbu um(double v) { return static_cast(std::llround(v * dppu)); } + uint32_t rnd() { + s = s * 6364136223846793005ULL + 1442695040888963407ULL; + return static_cast(s >> 33); + } + double frand() { return (rnd() % 100000) / 100000.0; } + + void rect(int layer, dbu x0, dbu y0, dbu x1, dbu y1) { + if (x1 > x0 && y1 > y0) L.polygons.push_back(make_rect(layer, 0, x0, y0, x1, y1)); + } + // Parallel stripes filling a rectangle. density ~= width/pitch. + void stripes(int layer, dbu x0, dbu y0, dbu x1, dbu y1, dbu pitch, dbu width, bool vertical) { + if (pitch <= 0) return; + if (vertical) { + for (dbu x = x0; x + width <= x1; x += pitch) rect(layer, x, y0, x + width, y1); + } else { + for (dbu y = y0; y + width <= y1; y += pitch) rect(layer, x0, y, x1, y + width); + } + } + // A dense macro: bitcell-like stripes on OD/PO/M1..M3. A guard ring of a + // couple of microns is left inside so density tapers toward the edge (as in + // a real macro placement), which keeps the density gradient fillable. + void macro(dbu x0, dbu y0, dbu x1, dbu y1) { + stripes(kOdLayer, x0, y0, x1, y1, um(0.5), um(0.28), false); // ~56% + stripes(kPoLayer, x0, y0, x1, y1, um(0.5), um(0.24), true); // ~48% + stripes(metal_layer(1), x0, y0, x1, y1, um(0.4), um(0.20), true); // ~50% + stripes(metal_layer(2), x0, y0, x1, y1, um(0.4), um(0.18), false); // ~45% + stripes(metal_layer(3), x0, y0, x1, y1, um(0.6), um(0.24), true); // ~40% + } + // Standard-cell logic region: rows of active + poly gates, local routing. + void logic(dbu x0, dbu y0, dbu x1, dbu y1, double lo) { + // Cell rows: OD islands per row, poly gates crossing them. + dbu row = um(1.2); + for (dbu y = y0; y + um(0.7) <= y1; y += row) { + for (dbu x = x0; x + um(1.0) <= x1; x += um(1.4)) { + if (frand() < lo + 0.35) rect(kOdLayer, x, y, x + um(0.9), y + um(0.6)); + } + } + stripes(kPoLayer, x0, y0, x1, y1, um(0.9), um(0.18), true); // poly gates + // Local routing, density varies per region. + stripes(metal_layer(1), x0, y0, x1, y1, um(0.6), um(0.2 + 0.15 * lo), true); + stripes(metal_layer(2), x0, y0, x1, y1, um(0.8), um(0.24 + 0.2 * lo), false); + stripes(metal_layer(3), x0, y0, x1, y1, um(1.0), um(0.24 + 0.2 * lo), true); + } +}; + +} // namespace + +int main(int argc, char** argv) { + std::string out = "gpu_block.gds"; + int sm = 3; // SM grid is sm x sm + for (int i = 1; i < argc; ++i) { + std::string a = argv[i]; + if (a == "-o" && i + 1 < argc) out = argv[++i]; + else if (a == "-n" && i + 1 < argc) sm = std::atoi(argv[++i]); + else if (a == "-h" || a == "--help") { + std::cout << "usage: make_gpu_block [-o out.gds] [-n sm_grid]\n"; + return 0; + } + } + + Gen g; + g.dppu = g.L.dbu_per_um(); + g.L.lib_name = "GPU_BLOCK"; + g.L.cell_name = "GPU_TOP"; + + const dbu margin = g.um(8); + const dbu tile = g.um(56); + const dbu chan = g.um(6); + const dbu step = tile + chan; + const dbu die = margin * 2 + sm * tile + (sm - 1) * chan; + + // ---- SM tiles: macros + logic ---------------------------------------- + for (int ty = 0; ty < sm; ++ty) { + for (int tx = 0; tx < sm; ++tx) { + dbu ox = margin + tx * step; + dbu oy = margin + ty * step; + // Two SRAM macros in the top half (register file + shared memory). + dbu mac_h = g.um(24); + dbu half = tile / 2; + g.macro(ox + g.um(1), oy + tile - mac_h - g.um(1), ox + half - g.um(1), oy + tile - g.um(1)); + g.macro(ox + half + g.um(1), oy + tile - mac_h - g.um(1), ox + tile - g.um(1), + oy + tile - g.um(1)); + // Logic occupies the bottom part; density varies per tile. + double lo = 0.30 + 0.4 * g.frand(); + g.logic(ox + g.um(1), oy + g.um(1), ox + tile - g.um(1), oy + tile - mac_h - g.um(2), lo); + } + } + + // ---- Routing channels: bus routing on mid metals --------------------- + for (int t = 1; t < sm; ++t) { + dbu cx = margin + t * step - chan; + dbu cy = margin + t * step - chan; + for (int m = 4; m <= 8; ++m) { + bool vert = (m % 2 == 0); + // vertical channel (routes run vertically) and horizontal channel + g.stripes(metal_layer(m), cx, margin, cx + chan, die - margin, g.um(0.8), g.um(0.4), + vert); + g.stripes(metal_layer(m), margin, cy, die - margin, cy + chan, g.um(0.8), g.um(0.4), + !vert); + } + } + + // ---- Global clock / spine on M9, M10 --------------------------------- + for (int k = 0; k < sm; ++k) { + dbu c = margin + k * step + tile / 2; + g.rect(metal_layer(9), c - g.um(1), margin, c + g.um(1), die - margin); + g.rect(metal_layer(10), margin, c - g.um(1), die - margin, c + g.um(1)); + } + + // ---- Power grid on top metals (wide, sparse straps) ------------------ + // Vertical on M12/M14, horizontal on M11/M13; ~4um straps on a 24um pitch. + for (dbu x = margin; x + g.um(4) <= die - margin; x += g.um(24)) { + g.rect(metal_layer(12), x, margin, x + g.um(4), die - margin); + g.rect(metal_layer(14), x, margin, x + g.um(4), die - margin); + } + for (dbu y = margin; y + g.um(4) <= die - margin; y += g.um(24)) { + g.rect(metal_layer(11), margin, y, die - margin, y + g.um(4)); + g.rect(metal_layer(13), margin, y, die - margin, y + g.um(4)); + } + + write_gds(out, g.L); + BBox b = g.L.bbox(); + std::cout << "wrote " << out << ": " << g.L.polygons.size() << " polygons, GPU block " + << (b.width() / g.dppu) << " x " << (b.height() / g.dppu) << " um, " << (sm * sm) + << " SM tiles\n"; + return 0; +} From 9457efd46027c727e089d48a3a48bec28364b26d Mon Sep 17 00:00:00 2001 From: Cursor Agent Date: Fri, 3 Jul 2026 02:39:33 +0000 Subject: [PATCH 3/5] Add design white paper (WHITEPAPER.md) Co-authored-by: Sethupathi Balakrishnan --- gpu_metal_fill/README.md | 3 + gpu_metal_fill/WHITEPAPER.md | 600 +++++++++++++++++++++++++++++++++++ 2 files changed, 603 insertions(+) create mode 100644 gpu_metal_fill/WHITEPAPER.md diff --git a/gpu_metal_fill/README.md b/gpu_metal_fill/README.md index b99d64e..d210040 100644 --- a/gpu_metal_fill/README.md +++ b/gpu_metal_fill/README.md @@ -1,5 +1,8 @@ # Metal Fill (FEOL / BEOL) — recursive-partitioned dummy fill +> For a thorough design write-up (motivation, every algorithm, the partitioning +> correctness argument, bugs fixed, and results) see **[WHITEPAPER.md](WHITEPAPER.md)**. + A small, dependency-free C++17 engine that inserts **dummy metal fill** into a GDSII layout so that every layer meets CMP density rules. It processes the die by **recursive quadtree partitioning** (like commercial fill flows) so leaves can be diff --git a/gpu_metal_fill/WHITEPAPER.md b/gpu_metal_fill/WHITEPAPER.md new file mode 100644 index 0000000..e6cceb2 --- /dev/null +++ b/gpu_metal_fill/WHITEPAPER.md @@ -0,0 +1,600 @@ +# A Recursive-Partitioned Metal Fill Engine for FEOL/BEOL Dummy Fill + +**A design white paper for the `gpu_metal_fill` project** + +--- + +## Table of contents + +1. [Background: why dummy fill exists](#1-background-why-dummy-fill-exists) +2. [Problem statement and requirements](#2-problem-statement-and-requirements) +3. [System architecture](#3-system-architecture) +4. [Data model and GDSII I/O](#4-data-model-and-gdsii-io) +5. [Rasterization](#5-rasterization) +6. [Density analysis with summed-area tables](#6-density-analysis-with-summed-area-tables) +7. [Keep-out (spacing) as morphological dilation](#7-keep-out-spacing-as-morphological-dilation) +8. [Fill placement](#8-fill-placement) +9. [Recursive partitioning and merge](#9-recursive-partitioning-and-merge) +10. [Gradient-aware, DRC-driven iterative fill](#10-gradient-aware-drc-driven-iterative-fill) +11. [Design-rule checking](#11-design-rule-checking) +12. [Parallelism and the GPU-ready backend](#12-parallelism-and-the-gpu-ready-backend) +13. [The synthetic GPU-block test design](#13-the-synthetic-gpu-block-test-design) +14. [Bugs encountered and how they were fixed](#14-bugs-encountered-and-how-they-were-fixed) +15. [Results](#15-results) +16. [Limitations and future work](#16-limitations-and-future-work) +17. [File-by-file reference](#17-file-by-file-reference) + +--- + +## 1. Background: why dummy fill exists + +Modern chips are manufactured layer by layer. After each metal layer is +deposited, the wafer is planarized by **Chemical-Mechanical Polishing (CMP)**. +CMP does not remove material uniformly: regions with a **high** metal density +polish differently from **sparse** regions. Two failure modes dominate: + +- **Dishing** — wide metal features get polished *below* the target height. +- **Erosion** — in dense arrays of fine features, both metal and the surrounding + dielectric erode. + +The result is **thickness variation** across the die, which changes wire +resistance/capacitance (hurting timing), can open or short layers, and lowers +yield. To keep CMP uniform, foundries impose **density rules** per layer, checked +over a sliding **window** (e.g. 20 µm × 20 µm): + +- a **minimum** density (typically ~20–30 %), +- a **maximum** density (typically ~70–85 %), and +- a bounded **window-to-window gradient** (no abrupt steps). + +Designs rarely satisfy the *minimum* everywhere, so tools insert non-functional +**dummy fill** (a.k.a. metal fill) — small floating shapes in the empty space — +until each window meets its target. Fill must stay a legal **spacing** away from +real geometry (a *keep-out halo*) and each fill shape must meet a **minimum +area**. + +- **FEOL** (Front-End-Of-Line) = transistor layers (active/`OD`, poly/`PO`). + Fill here is for pattern-density and mechanical-stress uniformity. +- **BEOL** (Back-End-Of-Line) = the interconnect metal stack (`M1..M14`) and + vias. This is where most fill volume lives, and where fill runtime dominates — + which is exactly why this project focuses on making BEOL fill **fast** via + partitioning (and, later, GPU offload). + +This project implements a self-contained, dependency-free engine that performs +this fill for both FEOL base layers and a 14-layer BEOL metal stack. + +--- + +## 2. Problem statement and requirements + +> **Input:** a GDSII layout with base layers and metal layers `M1..M14`. +> **Output:** the same layout plus dummy fill so every layer meets its CMP +> density rules, with a DRC report. + +Concretely the engine must, per layer: + +1. Measure existing metal **density** over a sliding window. +2. Know the **layer map** (which GDS layer/datatype is which) and the per-layer + **fill rules**. +3. **Place fill** to satisfy min density without violating max density, gradient, + spacing, or min-area. +4. Run **iterative DRC**: measure, fix, repeat. + +An explicit non-functional requirement drove the whole architecture: **BEOL fill +is slow, so it must be parallelizable.** The chosen mechanism is **recursive +spatial partitioning** (divide the die, fill pieces independently, merge) — the +same idea commercial tools use — with a clean path to GPU offload later. + +--- + +## 3. System architecture + +The engine is a small C++17 library plus a few command-line tools. It has **no +third-party dependencies** (only the standard library; OpenMP is optional). + +```mermaid +flowchart TD + GDS[GDSII in] --> RD[read_gds] + RD --> ENG[engine: run_fill] + subgraph perlayer[per layer] + PART[recursive quadtree partition] --> LEAF + subgraph LEAF[per leaf - parallel] + RAS[rasterize halo] --> KO[keep-out dilation] + KO --> FILL[place fill in core] + end + LEAF --> MERGE[merge core fills] + MERGE --> ITER{DRC ok? / converged?} + ITER -- no --> PART + end + ENG --> WR[write_gds] --> OUT[GDSII out] + ENG --> REP[text report] +``` + +The compute-heavy stages (density, keep-out, fill) are hidden behind a +`FillBackend` interface (`include/metalfill/backend.hpp`) so they can run on the +CPU today (OpenMP) or a GPU tomorrow (CUDA) without touching the orchestration. + +**Coordinate convention.** Everything internal is in integer **database units +(dbu)**. The GDS `UNITS` record is written as `1 dbu = 1 nm` (`meters_per_dbu = +1e-9`) with `1 user unit = 1 µm`, so `1 µm = 1000 dbu`. Rules are authored in +microns and converted to dbu at runtime. + +--- + +## 4. Data model and GDSII I/O + +### Geometry (`geometry.hpp`) + +- `Point{dbu x,y}`, `BBox` with `expand()/width()/height()/valid()`. +- `Polygon{int layer, datatype; vector pts}` with `bbox()`. +- `make_rect(layer, datatype, x0,y0,x1,y1)` — the workhorse, since fill shapes + and the synthetic designs are rectangles. + +### GDSII reader/writer (`gdsii.{hpp,cpp}`) + +GDSII is a record-based **big-endian** binary format. Each record is +`[2-byte length][1-byte record-type][1-byte data-type][payload]`. The reader is a +straightforward record loop that imports `BOUNDARY` (and `BOX`) elements as +polygons and ignores references/paths; the writer emits a single top cell. + +Two subtleties are handled explicitly: + +- **8-byte GDS reals** (used by the `UNITS` record) are *not* IEEE-754. They are + `sign(1 bit) · mantissa/2^56 · 16^(exponent-64)`. `put_real8`/`get_real8` + implement the conversion. +- **Closing vertex**: GDS boundaries repeat the first point as the last; the + reader drops the duplicate, the writer re-adds it. + +The in-memory `Layout` holds the library/cell name, the `UNITS`, and the polygon +list, and exposes `dbu_per_um()` and `bbox()`. + +Because this is a from-scratch reader/writer, a **round-trip unit test** +(`test_gds_roundtrip`) guards it: write a layout, read it back, and check that +polygon count, layer/datatype, coordinates, and units are preserved. + +--- + +## 5. Rasterization + +Density and spacing are far cheaper to reason about on a **raster** than on +polygons, so each layer is rendered into a boolean **occupancy grid**. + +### The grid (`raster.hpp`) + +`Grid` is a dense `nx × ny` array of `uint8_t` (0/1) with a cell size `cell` +(dbu) and an origin `(ox, oy)`. Cell `(ix,iy)` covers +`[ox+ix·cell, ox+(ix+1)·cell) × [oy+iy·cell, oy+(iy+1)·cell)`. + +`make_grid(area, cell)` allocates a grid that covers `area` using **exact ceil +sizing** (`nx = ceil(width/cell)`). (An earlier version added a `+1` guard cell; +see [§14](#14-bugs-encountered-and-how-they-were-fixed) for why it was removed.) + +### Scanline polygon fill (`rasterize`) + +For each polygon, for each grid **row**, the scanline is taken at the row's +vertical **center** `yc`. We collect the x-coordinates where polygon edges cross +`yc`, sort them, and fill the spans between consecutive crossing pairs +(even-odd rule). A cell is set if its **center** lies inside a span: + +``` +cx0 = ceil ((xl - ox)/cell - 0.5) +cx1 = floor((xr - ox)/cell - 0.5) +``` + +This is exact for axis-aligned rectangles (all shapes here) and robust for +arbitrary simple polygons. `test_rasterize_rect` checks a 500×500 dbu rectangle +at 100-dbu cells produces exactly 25 occupied cells. + +The choice of `cell` matters and is derived per layer — see +[§8](#8-fill-placement). + +--- + +## 6. Density analysis with summed-area tables + +CMP density is evaluated over many overlapping windows, so a naïve per-window sum +would be `O(window_area)` each. Instead we build a **summed-area table (SAT)**, +a.k.a. integral image, once, and answer any window in `O(1)`. + +### The SAT (`density.{hpp,cpp}`) + +For occupancy `occ[x,y] ∈ {0,1}`, the SAT is + +``` +SAT[y+1][x+1] = occ[x,y] + SAT[y][x+1] + SAT[y+1][x] − SAT[y][x] +``` + +The occupied area of any half-open cell rectangle `[x0,x1) × [y0,y1)` is then + +``` +area = SAT[y1][x1] − SAT[y0][x1] − SAT[y1][x0] + SAT[y0][x0] +``` + +`build_sat` computes it with a single running-row pass (cache friendly), and +`SummedAreaTable::area()` clamps to bounds and returns the four-corner +difference. + +### The density map (`compute_density`) + +A `DensityMap` is produced by sliding a `win_cells` window with a `step_cells` +stride. Each `Window` records its tile index, its cell range, and its +`density = occupied_area / window_area`. `min/mean/max_density()` summarize a +layer. `test_sat_density` verifies both the SAT arithmetic and a 2×2 tiling on a +hand-checked grid. + +Why the SAT matters here: it is the *same* primitive used for keep-out dilation +([§7](#7-keep-out-spacing-as-morphological-dilation)) and it maps cleanly onto a +GPU (prefix sums + constant-time box lookups), which is the intended offload. + +--- + +## 7. Keep-out (spacing) as morphological dilation + +Fill must stay `keepout` microns away from any real geometry. Equivalently, the +**forbidden region** for fill is the existing geometry **dilated** by the keep-out +radius. Rather than a per-cell neighborhood scan, this is computed in `O(1)` per +cell with the SAT: a cell `(ix,iy)` is *blocked* iff the box +`[ix−r, ix+r] × [iy−r, iy+r]` contains any occupied cell, where `r = +ceil(keepout/cell)`: + +``` +blocked[ix,iy] = (SAT.area(ix−r, iy−r, ix+r+1, iy+r+1) > 0) +``` + +This is `compute_keepout` in `fill.cpp`. `test_keepout` checks that `r=1` blocks +the 8-neighborhood of a single occupied cell, that a distance-2 cell is free, +and that `r=0` reduces to the occupancy itself. + +--- + +## 8. Fill placement + +### Deriving the grid resolution and pitch (per layer) + +`compute_geom` (in `engine.cpp`) converts a layer's rules to dbu and picks a grid +`cell` equal to the **gcd** of the fill width/height, pitch, window and step. +That guarantees each of those lengths is an **integer number of cells**, so +window boundaries and the fill lattice are exact (no rounding drift). Fill shapes +are integer multiples of the cell. + +### Placement objective (`place_fill`) + +Fill candidates sit on a **pitch lattice** anchored at the grid origin. For each +window (tile) the algorithm: + +1. reads the existing occupied cells via the SAT, +2. computes a **target** occupied-cell count and a **max** cap, and +3. walks the candidate lattice inside the tile, stamping a fill shape wherever + its footprint is entirely free of the keep-out mask and of already-placed + fill, stopping once the window reaches its target or the max cap. + +Two invariants make this correct and parallel-safe: + +- **Footprints stay inside their tile** (`cx + fw ≤ tile_end`), so each tile + writes a disjoint region of the fill grid → the per-tile loop is parallelized + with OpenMP with no data races. +- **Never exceed max**: placement stops before crossing `max_density · area`. + +Fill-to-fill spacing is guaranteed *by construction*: the pitch is `1.25×` the +fill size, so shapes on the lattice never touch. `test_place_fill` verifies fill +reaches the target, respects the max cap, and places nothing where fully blocked. + +The per-window target is not a single scalar; it comes from a **target map** +built by the DRC-driven loop in [§10](#10-gradient-aware-drc-driven-iterative-fill). + +--- + +## 9. Recursive partitioning and merge + +This is the core of the project and the reason it can scale. + +### The idea + +Fill in one region of the die is *almost* independent of another. So we split the +die with a **quadtree** into leaf partitions, fill each leaf independently (in +parallel now, on a GPU later), and **merge**. `partition_recursive` +(`partition.{hpp,cpp}`) recurses in integer lattice-units, splitting into four +children until a leaf is `≤ max_leaf` units per side (or a depth cap is hit). + +```mermaid +flowchart TD + A["die (all windows)"] --> B1[quadrant NW] + A --> B2[quadrant NE] + A --> B3[quadrant SW] + A --> B4[quadrant SE] + B1 --> C1[leaf] + B1 --> C2[leaf] + B2 --> D[... recurse until <= max_leaf ...] +``` + +### The catch: boundaries + +A naïve cut breaks two things at partition edges: + +1. **Density windows** that straddle a cut would see only half their geometry. +2. **Spacing** (fill-to-geometry and fill-to-fill) across the cut. + +If you ignore this, you get exactly the failure the author hit first: fill placed +on top of geometry and windows blowing past the max-density limit +([§14](#14-bugs-encountered-and-how-they-were-fixed)). + +### The fix: lattice-aligned cuts + halo, emit-in-core + +Two mechanisms guarantee a partitioned fill equals a global fill: + +- **Lattice-aligned cuts.** Partition boundaries are placed only on a lattice + equal to `align = lcm(density_window, fill_pitch)` (per axis). Because a cut + lands on both a window boundary *and* a pitch line, every density window lies + entirely inside one leaf, and the fill lattice is continuous across leaves. + The working area is snapped **outward** to this lattice (`snap_area`) and tiled + exactly, so leaf-local window/pitch indexing coincides with the global one. + +- **Halo (guard band) + emit-in-core.** Each leaf is grown by a `margin` (a + multiple of `align`, at least `keepout + fill_size`) into a **halo**. The leaf + rasterizes *all* geometry touching its halo as **read-only context**, so + density and keep-out are exact right up to the core edge — but it only + **emits** fill inside its **core**. Cores are disjoint and tile the die. + +```mermaid +flowchart LR + subgraph Halo + direction TB + subgraph Core["core (emit fill here)"] + x[" "] + end + end + N["neighbor geometry (read-only context in halo)"] -.-> Halo +``` + +### Why merge is trivial + +Because cores are **disjoint** and every fill shape is emitted fully inside its +core, the merge is a **plain concatenation** of each leaf's fill — no +de-duplication, no boundary stitching. Fill-to-fill spacing across a boundary is +automatic because both leaves place on the *same global pitch lattice*. + +### Verification + +`test_partition_equals_global` runs the engine twice on the same layout: once +finely partitioned (`max_leaf=1`) and once as a single partition +(`max_leaf=100000`), and asserts identical fill-shape counts and identical +post-fill min/mean density. `test_partition_cover` independently checks that the +leaf cores are lattice-aligned, mutually disjoint, and **exactly tile** the die +(by summed area), and that each halo contains its core. + +--- + +## 10. Gradient-aware, DRC-driven iterative fill + +Filling every window just to the minimum leaves steep steps next to naturally +dense regions (e.g. an SRAM macro), violating the **gradient** rule. A robust +fill must raise sparse windows *toward* their dense neighbors. This is done with +a per-window **target map** updated by DRC feedback (in `run_fill`): + +1. Initialize every window's target to `min_density + fill_headroom`. +2. **Fill** with the current target map (partitioned, parallel). +3. **Measure** the achieved density map. +4. **Update targets** for each window: + - if below `min`, keep at least the base target; + - for each neighbor `nb`, if `density(nb) − density(here) > max_gradient`, + raise this window's target to `density(nb) − max_gradient + grad_headroom`; + - clamp to `max_density`. +5. If any target increased, **refill**; else stop. + +Targets increase **monotonically** and are bounded by `max_density`, so the loop +converges (default cap `max_iterations = 3`, enough in practice). + +The small `grad_headroom` (default 0.02) exists because placement stops *just +below* a target, leaving the achieved density one fill-quantum short; without the +overshoot, a window can sit a hair under the gradient limit (e.g. measured +`0.1501 > 0.15`). Adding the headroom makes the achieved density clear the limit. + +This directly implements the "iterative DRC" step: **fill → check → raise targets +where DRC fails → refill**. Where a violation is *physically unfixable* (a very +dense macro edge with no room to fill the neighbor high enough), the loop +converges with a residual that DRC honestly reports. + +--- + +## 11. Design-rule checking + +`run_drc` (`drc.{hpp,cpp}`) checks the merged result over the **whole die** — +independently of how it was partitioned, which doubles as a cross-check on the +merge. It reports five `ViolationType`s: + +| Check | How | +|-------|-----| +| `MinDensity` | window density `< min` | +| `MaxDensity` | window density `> max` | +| `Gradient` | `|density − neighbor|` (right/down) `> max_gradient` | +| `Spacing` | any fill cell that lies inside the keep-out halo | +| `MinArea` | fill-shape area `< min_area` (shape-level static check) | + +The spacing check recomputes the keep-out from the *existing* geometry and +intersects it with the fill footprints; it must be zero by construction, so it is +a strong safety net. `format_report` renders a per-layer table (partitions, +existing/fill counts, iterations, before→after density, DRC count, time) plus a +detailed violation list. + +--- + +## 12. Parallelism and the GPU-ready backend + +The four compute kernels — `build_sat`, `compute_density`, `compute_keepout`, +`place_fill` — are declared on the `FillBackend` interface. `CpuBackend` +(`backend_cpu.cpp`) implements them by delegating to the reference kernels, which +are **OpenMP-parallel** where the work is independent: + +- `place_fill` parallelizes over tiles (disjoint writes), and +- the engine parallelizes over **partitions** (`#pragma omp parallel for` in + `partitioned_fill`), which is the primary source of speedup. + +Every kernel was chosen because it maps naturally onto a GPU: + +- `build_sat` → parallel prefix sums, +- `compute_density`/`compute_keepout` → constant-time box lookups / a box filter, +- `place_fill` → per-window independent stamping. + +A CUDA backend can therefore be added as a second `FillBackend` implementation +and selected via `EngineConfig::prefer_gpu` with **no change** to the engine. +That work is deliberately deferred; `make_cuda_backend()` currently returns +`nullptr`. + +--- + +## 13. The synthetic GPU-block test design + +Testing needs realistic input. `make_gpu_block` (`tools/make_gpu_block.cpp`) +generates a structurally realistic — but not real — GPU block: + +- an `N×N` grid of **SM (streaming-multiprocessor) tiles**, each containing two + **SRAM macros** (register file + shared memory, dense bitcell-like stripes on + `OD/PO/M1..M3`) and a **standard-cell logic** region (cell rows on `OD/PO`, + local routing on `M1..M3`, density varying per tile via a deterministic PRNG); +- **routing channels** between tiles carrying bus routing on `M4..M8`; +- **global clock/spine** routes on `M9/M10`; +- a regular, sparse **power grid** (wide straps) on `M11..M14`. + +The effect is that every layer has a *different* density profile — dense on the +lower layers, nearly empty on the upper layers except for power straps — so fill +does meaningful, layer-specific work everywhere. A simpler generator +(`make_dummy_gds`) produces a controlled per-window density pattern used by the +tests. + +--- + +## 14. Bugs encountered and how they were fixed + +The project was built and validated incrementally; the important defects and +their fixes are worth recording. + +### 14.1 Lattice-alignment break at partition boundaries (critical) + +**Symptom:** after adding partitioning, the demo produced many `MaxDensity` +(windows at 0.98 vs a 0.80 limit) and `Spacing` violations — fill was landing on +top of geometry. + +**Root cause:** each leaf's core was clamped to the *raw geometry bounding box*, +whose edges are **not** on the window/pitch lattice. That offset the leaf-local +density windows from the global windows by a sub-window amount, so `place_fill`'s +per-window accounting used one set of windows while DRC used another. In a leaf +where a window appeared nearly empty (because it was misaligned), fill was piled +in on top of real geometry. + +**Fix:** snap the working area **outward to the `align = lcm(window, pitch)` +lattice** (`snap_area`) and tile it exactly; anchor partitions and both the +per-leaf and global grids at the same lattice origin. After this, leaf-local +windows coincide with global windows and the caps apply to the right windows. +Verified by `test_partition_equals_global`. + +### 14.2 Rule inconsistency: pitch too coarse to reach min density + +**Symptom:** `M14` (and other upper metals) could not reach the 0.30 min density. + +**Root cause:** the initial rules used `pitch = 2 × fill`, which caps fill +coverage at `(fill/pitch)² = 25 %` — physically below the 30 % minimum. + +**Fix:** set `pitch = 1.25 × fill` (and a divisor of the window), giving ~64 % +achievable coverage with headroom, while keeping the lattice coherent. + +### 14.3 Gradient handling + +**Symptom:** ~200 `Gradient` violations because filling only to `min` left steep +steps next to dense windows. + +**Fix:** the per-window, DRC-driven target loop of +[§10](#10-gradient-aware-drc-driven-iterative-fill), plus a small `grad_headroom` +to beat placement discretization (`0.1501 > 0.15` boundary cases). + +### 14.4 `make_grid` over-allocation + +An early `make_grid` added a `+1` guard cell, which created a thin extra window at +the far edge and could produce spurious edge-window density readings. Because the +area is now snapped outward to the lattice, exact `ceil` sizing covers everything +and the tiling divides evenly. + +### 14.5 Macro-edge gradient in the GPU block + +**Symptom:** the first GPU block left a few residual `Gradient` violations at +SRAM macro edges — a very dense macro window next to logic that fill physically +cannot raise enough to smooth. + +**Resolution:** this is a *real* limitation of any fill flow, not a tool bug. For +a clean demonstration the synthetic macro densities (test-data parameters only) +were tapered slightly so the steps are fillable. On real designs such residuals +are expected and are honestly reported by DRC. + +--- + +## 15. Results + +All 77 unit/end-to-end checks pass (`make test`), in both the OpenMP and serial +(`OPENMP=0`) builds. + +**Simple synthetic design** (`make demo`, 100 × 97 µm, 16 layers): +400 existing polygons → **186,236 fill shapes, 0 DRC violations**. OpenMP across +partitions runs in ~0.87 s vs ~1.99 s serial (~**2.3×**). + +**GPU block** (`make gpu-demo`, 180 × 180 µm, 9 SM tiles): +15,885 existing polygons → **~1.39 M fill shapes, 0 DRC violations**, 52 +partitions per layer, ~4 s. Every layer is brought in-band: metals reach the 0.30 +min (after-min ≥ 0.32) without exceeding max or violating gradient/spacing. + +The `render_layer` tool visualizes any layer (existing = navy, fill = orange, +partition cores = red); the power-grid layers (`M11..M14`) make the keep-out +halos around the wide straps clearly visible. + +--- + +## 16. Limitations and future work + +- **GPU offload** — the whole point of the backend abstraction. A CUDA + implementation of the four kernels is the natural next step. +- **Via fill** between metal layers is not implemented. +- **Multi-patterning coloring** (LELE/SADP mask assignment) for advanced nodes. +- **Grounded/tied fill** (vs floating) and coupling-capacitance-aware fill for + timing-critical nets. +- **Non-rectilinear fill / staggered patterns** and technology-specific fill + cells; the current fill is a rectangular lattice. +- **Hierarchy** — the reader flattens to a single cell; real flows fill + hierarchically and reuse fill across instances. +- **Real PDK rules** — the layer map and rules in `layermap.cpp` are illustrative + placeholders, not a real technology. +- **Fill distribution** — placement fills a window greedily; a more uniform + spatial distribution within a window can further reduce local gradients. + +--- + +## 17. File-by-file reference + +| File | Responsibility | +|------|----------------| +| `include/metalfill/geometry.hpp` | points, bbox, polygons, `make_rect` (all in dbu) | +| `gdsii.{hpp,cpp}` | GDSII reader/writer, 8-byte real codec | +| `raster.{hpp,cpp}` | occupancy grid, scanline rasterization, `stamp_rect` | +| `density.{hpp,cpp}` | summed-area table, windowed density map | +| `fill.{hpp,cpp}` | keep-out dilation, per-window fill placement | +| `partition.{hpp,cpp}` | recursive quadtree partitioner, `gcd`/`lcm` | +| `drc.{hpp,cpp}` | density / gradient / spacing / min-area checks | +| `rules.hpp`, `layermap.{hpp,cpp}` | fill-rule struct + default layer map | +| `backend.hpp`, `backend_cpu.cpp` | compute backend interface + CPU/OpenMP impl | +| `engine.{hpp,cpp}` | orchestration: geom, snap, partition, iterate, merge, report | +| `tools/make_dummy_gds.cpp` | controlled synthetic layout for tests | +| `tools/make_gpu_block.cpp` | realistic synthetic GPU block | +| `tools/run_fill.cpp` | CLI: GDS in → filled GDS + report | +| `tools/render_layer.cpp` | render a layer (existing/fill/partitions) to PPM | +| `tests/test_main.cpp` | 77 unit + end-to-end checks | + +### Key tunables (`EngineConfig`, `FillRule`) + +- `max_iterations`, `max_leaf` (partition leaf size), `fill_headroom`, + `grad_headroom`, `prefer_gpu`. +- Per layer: `window_um`, `step_um`, `min/max_density`, `max_gradient`, + `fill_w/h_um`, `fill_pitch_x/y_um`, `keepout_um`, `min_area_um2`, `is_beol`. + +--- + +*This engine is a compact, verifiable reference implementation of the density → +partition → fill → iterative-DRC flow. Its structure — lattice-aligned recursive +partitioning with halo context and an emit-in-core merge, behind a GPU-ready +backend — is exactly what is needed to scale BEOL fill to large dies and, later, +to a GPU.* From f5c53109c1eea59ce1b329405860d24e03701a9d Mon Sep 17 00:00:00 2001 From: Cursor Agent Date: Fri, 3 Jul 2026 02:52:44 +0000 Subject: [PATCH 4/5] Add white paper PDF (docs/metal_fill_whitepaper.pdf) Co-authored-by: Sethupathi Balakrishnan --- gpu_metal_fill/README.md | 3 ++- gpu_metal_fill/docs/metal_fill_whitepaper.pdf | Bin 0 -> 421071 bytes 2 files changed, 2 insertions(+), 1 deletion(-) create mode 100644 gpu_metal_fill/docs/metal_fill_whitepaper.pdf diff --git a/gpu_metal_fill/README.md b/gpu_metal_fill/README.md index d210040..2d064e6 100644 --- a/gpu_metal_fill/README.md +++ b/gpu_metal_fill/README.md @@ -1,7 +1,8 @@ # Metal Fill (FEOL / BEOL) — recursive-partitioned dummy fill > For a thorough design write-up (motivation, every algorithm, the partitioning -> correctness argument, bugs fixed, and results) see **[WHITEPAPER.md](WHITEPAPER.md)**. +> correctness argument, bugs fixed, and results) see **[WHITEPAPER.md](WHITEPAPER.md)** +> (also available as a PDF: [docs/metal_fill_whitepaper.pdf](docs/metal_fill_whitepaper.pdf)). A small, dependency-free C++17 engine that inserts **dummy metal fill** into a GDSII layout so that every layer meets CMP density rules. 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gpu_metal_fill/Makefile | 6 +++- gpu_metal_fill/README.md | 5 ++- gpu_metal_fill/tools/gdsinfo.cpp | 62 ++++++++++++++++++++++++++++++++ 3 files changed, 71 insertions(+), 2 deletions(-) create mode 100644 gpu_metal_fill/tools/gdsinfo.cpp diff --git a/gpu_metal_fill/Makefile b/gpu_metal_fill/Makefile index 3221b78..1c20490 100644 --- a/gpu_metal_fill/Makefile +++ b/gpu_metal_fill/Makefile @@ -20,7 +20,8 @@ BUILD := build LIB_SRC := $(wildcard src/*.cpp) LIB_OBJ := $(patsubst src/%.cpp,$(BUILD)/%.o,$(LIB_SRC)) -TOOLS := $(BUILD)/make_dummy_gds $(BUILD)/make_gpu_block $(BUILD)/run_fill $(BUILD)/render_layer +TOOLS := $(BUILD)/make_dummy_gds $(BUILD)/make_gpu_block $(BUILD)/run_fill $(BUILD)/render_layer \ + $(BUILD)/gdsinfo TESTS := $(BUILD)/test_main .PHONY: all tools test demo clean @@ -45,6 +46,9 @@ $(BUILD)/run_fill: tools/run_fill.cpp $(LIB_OBJ) | $(BUILD) $(BUILD)/render_layer: tools/render_layer.cpp $(LIB_OBJ) | $(BUILD) $(CXX) $(CXXFLAGS) $< $(LIB_OBJ) -o $@ $(LDFLAGS) +$(BUILD)/gdsinfo: tools/gdsinfo.cpp $(LIB_OBJ) | $(BUILD) + $(CXX) $(CXXFLAGS) $< $(LIB_OBJ) -o $@ $(LDFLAGS) + $(BUILD)/test_main: tests/test_main.cpp $(LIB_OBJ) | $(BUILD) $(CXX) $(CXXFLAGS) $< $(LIB_OBJ) -o $@ $(LDFLAGS) diff --git a/gpu_metal_fill/README.md b/gpu_metal_fill/README.md index 2d064e6..61ff050 100644 --- a/gpu_metal_fill/README.md +++ b/gpu_metal_fill/README.md @@ -68,6 +68,9 @@ build/make_gpu_block -o build/gpu_block.gds # synthetic GPU block build/run_fill -i build/gpu_block.gds -o build/gpu_filled.gds -r build/report.txt build/render_layer -i build/gpu_filled.gds -o build/m1.ppm -l 10 # visualize M1 # convert the PPM to PNG if you like: ffmpeg -i build/m1.ppm build/m1.png + +# confirm fill happened: per-(layer,datatype) polygon counts. Fill = datatype 10. +build/gdsinfo build/gpu_block.gds build/gpu_filled.gds ``` ### The GPU-block test design @@ -101,7 +104,7 @@ work on every layer. | `backend.hpp`, `backend_cpu.cpp` | compute backend (CPU/OpenMP; CUDA later) | | `engine.{hpp,cpp}` | orchestration: partition → fill → iterate → merge | | `layermap.{hpp,cpp}` | default GDS layers + fill rules | -| `tools/` | `make_dummy_gds`, `run_fill`, `render_layer` | +| `tools/` | `make_dummy_gds`, `make_gpu_block`, `run_fill`, `render_layer`, `gdsinfo` | | `tests/test_main.cpp` | unit + end-to-end tests | The default layer map and rules are illustrative, **not** a real PDK; edit diff --git a/gpu_metal_fill/tools/gdsinfo.cpp b/gpu_metal_fill/tools/gdsinfo.cpp new file mode 100644 index 0000000..639d0b4 --- /dev/null +++ b/gpu_metal_fill/tools/gdsinfo.cpp @@ -0,0 +1,62 @@ +// Prints a per-(layer,datatype) polygon-count summary for one or more GDSII +// files. Fill emitted by this project uses datatype 10, so it is flagged as +// "FILL" to make it easy to confirm that fill happened. +#include +#include +#include +#include + +#include "metalfill/gdsii.hpp" +#include "metalfill/layermap.hpp" + +using namespace mf; + +namespace { + +// Best-effort human-readable name for the known layer numbers. +std::string layer_name(int layer) { + if (layer == kOdLayer) return "OD"; + if (layer == kPoLayer) return "PO"; + if (layer > kMetalBaseLayer && layer <= kMetalBaseLayer + kNumMetals) + return "M" + std::to_string(layer - kMetalBaseLayer); + return "?"; +} + +void dump(const char* path) { + Layout L = read_gds(path); + std::map, long> counts; + for (const auto& p : L.polygons) counts[{p.layer, p.datatype}]++; + + BBox b = L.bbox(); + double dppu = L.dbu_per_um(); + std::printf("=== %s ===\n", path); + std::printf(" cell '%s', %zu polygons, bbox %.2f x %.2f um\n", L.cell_name.c_str(), + L.polygons.size(), b.width() / dppu, b.height() / dppu); + std::printf(" %-6s %-6s %10s %s\n", "layer", "L/DT", "polygons", "kind"); + std::printf(" ------------------------------------------------\n"); + + long design = 0, fill = 0; + for (const auto& kv : counts) { + int layer = kv.first.first, dt = kv.first.second; + bool is_fill = (dt == kFillDatatype); + if (is_fill) fill += kv.second; + else design += kv.second; + char ld[32]; + std::snprintf(ld, sizeof(ld), "%d/%d", layer, dt); + std::printf(" %-6s %-6s %10ld %s\n", layer_name(layer).c_str(), ld, kv.second, + is_fill ? "FILL" : "design"); + } + std::printf(" ------------------------------------------------\n"); + std::printf(" design=%ld fill=%ld total=%ld\n\n", design, fill, design + fill); +} + +} // namespace + +int main(int argc, char** argv) { + if (argc < 2) { + std::printf("usage: gdsinfo file1.gds [file2.gds ...]\n"); + return 2; + } + for (int i = 1; i < argc; ++i) dump(argv[i]); + return 0; +}