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+/*
+ * yosys -- Yosys Open SYnthesis Suite
+ *
+ * Copyright (C) 2018 whitequark <whitequark@whitequark.org>
+ *
+ * Permission to use, copy, modify, and/or distribute this software for any
+ * purpose with or without fee is hereby granted, provided that the above
+ * copyright notice and this permission notice appear in all copies.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+ * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+ * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+ * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+ * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+ * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+ * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+ *
+ */
+
+// [[CITE]] FlowMap algorithm
+// Jason Cong; Yuzheng Ding, "An Optimal Technology Mapping Algorithm for Delay Optimization in Lookup-Table Based FPGA Designs,"
+// Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on, Vol. 13, pp. 1-12, Jan. 1994.
+// doi: 10.1109/43.273754
+
+// [[CITE]] FlowMap-r algorithm
+// Jason Cong; Yuzheng Ding, "On Area/Depth Tradeoff in LUT-Based FPGA Technology Mapping,"
+// Very Large Scale Integration Systems, IEEE Transactions on, Vol. 2, June 1994.
+// doi: 10.1109/92.28574
+
+// Required reading material:
+//
+// Min-cut max-flow theorem:
+// https://www.coursera.org/lecture/algorithms-part2/maxflow-mincut-theorem-beb9G
+// FlowMap paper:
+// http://cadlab.cs.ucla.edu/~cong/papers/iccad92.pdf (short version)
+// https://limsk.ece.gatech.edu/book/papers/flowmap.pdf (long version)
+// FlowMap-r paper:
+// http://cadlab.cs.ucla.edu/~cong/papers/dac93.pdf (short version)
+// https://sci-hub.tw/10.1109/92.285741 (long version)
+
+// Notes on correspondence between paper and implementation:
+//
+// 1. In the FlowMap paper, the nodes are logic elements (analogous to Yosys cells) and edges are wires. However, in our implementation,
+// we use an inverted approach: the nodes are Yosys wire bits, and the edges are derived from (but aren't represented by) Yosys cells.
+// This may seem counterintuitive. Three observations may help understanding this. First, for a cell with a 1-bit Y output that is
+// the sole driver of its output net (which is the typical case), these representations are equivalent, because there is an exact
+// correspondence between cells and output wires. Second, in the paper, primary inputs (analogous to Yosys cell or module ports) are
+// nodes, and in Yosys, inputs are wires; our approach allows a direct mapping from both primary inputs and 1-output logic elements to
+// flow graph nodes. Third, Yosys cells may have multiple outputs or multi-bit outputs, and by using Yosys wire bits as flow graph nodes,
+// such cells are supported without any additional effort; any Yosys cell with n output wire bits ends up being split into n flow graph
+// nodes.
+//
+// 2. The FlowMap paper introduces three networks: Nt, Nt', and Nt''. The network Nt is directly represented by a subgraph of RTLIL graph,
+// which is parsed into an equivalent but easier to traverse representation in FlowmapWorker. The network Nt' is built explicitly
+// from a subgraph of Nt, and uses a similar representation in FlowGraph. The network Nt'' is implicit in FlowGraph, which is possible
+// because of the following observation: each Nt' node corresponds to an Nt'' edge of capacity 1, and each Nt' edge corresponds to
+// an Nt'' edge of capacity ∞. Therefore, we only need to explicitly record flow for Nt' edges and through Nt' nodes.
+//
+// 3. The FlowMap paper ambiguously states: "Moreover, we can find such a cut (X′′, X̅′′) by performing a depth first search starting at
+// the source s, and including in X′′ all the nodes which are reachable from s." This actually refers to a specific kind of search,
+// min-cut computation. Min-cut computation involves computing the set of nodes reachable from s by an undirected path with no full
+// (i.e. zero capacity) forward edges or empty (i.e. no flow) backward edges. In addition, the depth first search is required to compute
+// a max-volume max-flow min-cut specifically, because a max-flow min-cut is not, in general, unique.
+
+// Notes on implementation:
+//
+// 1. To compute depth optimal packing, an intermediate representation is used, where each cell with n output bits is split into n graph
+// nodes. Each such graph node is represented directly with the wire bit (RTLIL::SigBit instance) that corresponds to the output bit
+// it is created from. Fan-in and fan-out are represented explicitly by edge lists derived from the RTLIL graph. This IR never changes
+// after it has been computed.
+//
+// In terms of data, this IR is comprised of `inputs`, `outputs`, `nodes`, `edges_fw` and `edges_bw` fields.
+//
+// We call this IR "gate IR".
+//
+// 2. To compute area optimal packing, another intermediate representation is used, which consists of some K-feasible cone for every node
+// that exists in the gate IR. Immediately after depth optimal packing with FlowMap, each such cone occupies the lowest possible depth,
+// but this is not true in general, and transformations of this IR may change the cones, although each transformation has to keep each
+// cone K-feasible. In this IR, LUT fan-in and fan-out are represented explicitly by edge lists; if a K-feasible cone chosen for node A
+// includes nodes B and C, there are edges between all predecessors of A, B and C in the gate IR and node A in this IR. Moreover, in
+// this IR, cones may be *realized* or *derealized*. Only realized cones will end up mapped to actual LUTs in the output of this pass.
+//
+// Intuitively, this IR contains (some, ideally but not necessarily optimal) LUT representation for each input cell. By starting at outputs
+// and traversing the graph of this IR backwards, each K-feasible cone is converted to an actual LUT at the end of the pass. This is
+// the same as iterating through each realized LUT.
+//
+// The following are the invariants of this IR:
+// a) Each gate IR node corresponds to a K-feasible cut.
+// b) Each realized LUT is reachable through backward edges from some output.
+// c) The LUT fan-in is exactly the fan-in of its constituent gates minus the fan-out of its constituent gates.
+// The invariants are kept even for derealized LUTs, since the whole point of this IR is ease of packing, unpacking, and repacking LUTs.
+//
+// In terms of data, this IR is comprised of `lut_nodes` (the set of all realized LUTs), `lut_gates` (the map from a LUT to its
+// constituent gates), `lut_edges_fw` and `lut_edges_bw` fields. The `inputs` and `outputs` fields are shared with the gate IR.
+//
+// We call this IR "LUT IR".
+
+#include "kernel/yosys.h"
+#include "kernel/sigtools.h"
+#include "kernel/modtools.h"
+#include "kernel/consteval.h"
+
+USING_YOSYS_NAMESPACE
+PRIVATE_NAMESPACE_BEGIN
+
+struct GraphStyle
+{
+ string label;
+ string color, fillcolor;
+
+ GraphStyle(string label = "", string color = "black", string fillcolor = "") :
+ label(label), color(color), fillcolor(fillcolor) {}
+};
+
+static string dot_escape(string value)
+{
+ std::string escaped;
+ for (char c : value) {
+ if (c == '\n')
+ {
+ escaped += "\\n";
+ continue;
+ }
+ if (c == '\\' || c == '"')
+ escaped += "\\";
+ escaped += c;
+ }
+ return escaped;
+}
+
+static void dump_dot_graph(string filename,
+ pool<RTLIL::SigBit> nodes, dict<RTLIL::SigBit, pool<RTLIL::SigBit>> edges,
+ pool<RTLIL::SigBit> inputs, pool<RTLIL::SigBit> outputs,
+ std::function<GraphStyle(RTLIL::SigBit)> node_style =
+ [](RTLIL::SigBit) { return GraphStyle{}; },
+ std::function<GraphStyle(RTLIL::SigBit, RTLIL::SigBit)> edge_style =
+ [](RTLIL::SigBit, RTLIL::SigBit) { return GraphStyle{}; },
+ string name = "")
+{
+ FILE *f = fopen(filename.c_str(), "w");
+ fprintf(f, "digraph \"%s\" {\n", name.c_str());
+ fprintf(f, " rankdir=\"TB\";\n");
+
+ dict<RTLIL::SigBit, int> ids;
+ for (auto node : nodes)
+ {
+ ids[node] = ids.size();
+
+ string shape = "ellipse";
+ if (inputs[node])
+ shape = "box";
+ if (outputs[node])
+ shape = "octagon";
+ auto prop = node_style(node);
+ string style = "";
+ if (!prop.fillcolor.empty())
+ style = "filled";
+ fprintf(f, " n%d [ shape=%s, fontname=\"Monospace\", label=\"%s\", color=\"%s\", fillcolor=\"%s\", style=\"%s\" ];\n",
+ ids[node], shape.c_str(), dot_escape(prop.label.c_str()).c_str(), prop.color.c_str(), prop.fillcolor.c_str(), style.c_str());
+ }
+
+ fprintf(f, " { rank=\"source\"; ");
+ for (auto input : inputs)
+ if (nodes[input])
+ fprintf(f, "n%d; ", ids[input]);
+ fprintf(f, "}\n");
+
+ fprintf(f, " { rank=\"sink\"; ");
+ for (auto output : outputs)
+ if (nodes[output])
+ fprintf(f, "n%d; ", ids[output]);
+ fprintf(f, "}\n");
+
+ for (auto edge : edges)
+ {
+ auto source = edge.first;
+ for (auto sink : edge.second) {
+ if (nodes[source] && nodes[sink])
+ {
+ auto prop = edge_style(source, sink);
+ fprintf(f, " n%d -> n%d [ label=\"%s\", color=\"%s\", fillcolor=\"%s\" ];\n",
+ ids[source], ids[sink], dot_escape(prop.label.c_str()).c_str(), prop.color.c_str(), prop.fillcolor.c_str());
+ }
+ }
+ }
+
+ fprintf(f, "}\n");
+ fclose(f);
+}
+
+struct FlowGraph
+{
+ const RTLIL::SigBit source;
+ RTLIL::SigBit sink;
+ pool<RTLIL::SigBit> nodes = {source};
+ dict<RTLIL::SigBit, pool<RTLIL::SigBit>> edges_fw, edges_bw;
+
+ const int MAX_NODE_FLOW = 1;
+ dict<RTLIL::SigBit, int> node_flow;
+ dict<pair<RTLIL::SigBit, RTLIL::SigBit>, int> edge_flow;
+
+ dict<RTLIL::SigBit, pool<RTLIL::SigBit>> collapsed;
+
+ void dump_dot_graph(string filename)
+ {
+ auto node_style = [&](RTLIL::SigBit node) {
+ string label = (node == source) ? "(source)" : log_signal(node);
+ for (auto collapsed_node : collapsed[node])
+ label += stringf(" %s", log_signal(collapsed_node));
+ int flow = node_flow[node];
+ if (node != source && node != sink)
+ label += stringf("\n%d/%d", flow, MAX_NODE_FLOW);
+ else
+ label += stringf("\n%d/∞", flow);
+ return GraphStyle{label, flow < MAX_NODE_FLOW ? "green" : "black"};
+ };
+ auto edge_style = [&](RTLIL::SigBit source, RTLIL::SigBit sink) {
+ int flow = edge_flow[{source, sink}];
+ return GraphStyle{stringf("%d/∞", flow), flow > 0 ? "blue" : "black"};
+ };
+ ::dump_dot_graph(filename, nodes, edges_fw, {source}, {sink}, node_style, edge_style);
+ }
+
+ // Here, we are working on the Nt'' network, but our representation is the Nt' network.
+ // The difference between these is that where in Nt' we have a subgraph:
+ //
+ // v1 -> v2 -> v3
+ //
+ // in Nt'' we have a corresponding subgraph:
+ //
+ // v'1b -∞-> v'2t -f-> v'2b -∞-> v'3t
+ //
+ // To address this, we split each node v into two nodes, v't and v'b. This representation is virtual,
+ // in the sense that nodes v't and v'b are overlaid on top of the original node v, and only exist
+ // in paths and worklists.
+
+ struct NodePrime
+ {
+ RTLIL::SigBit node;
+ bool is_bottom;
+
+ NodePrime(RTLIL::SigBit node, bool is_bottom) :
+ node(node), is_bottom(is_bottom) {}
+
+ bool operator==(const NodePrime &other) const
+ {
+ return node == other.node && is_bottom == other.is_bottom;
+ }
+ bool operator!=(const NodePrime &other) const
+ {
+ return !(*this == other);
+ }
+ unsigned int hash() const
+ {
+ return hash_ops<pair<RTLIL::SigBit, int>>::hash({node, is_bottom});
+ }
+
+ static NodePrime top(RTLIL::SigBit node)
+ {
+ return NodePrime(node, /*is_bottom=*/false);
+ }
+
+ static NodePrime bottom(RTLIL::SigBit node)
+ {
+ return NodePrime(node, /*is_bottom=*/true);
+ }
+
+ NodePrime as_top() const
+ {
+ log_assert(is_bottom);
+ return top(node);
+ }
+
+ NodePrime as_bottom() const
+ {
+ log_assert(!is_bottom);
+ return bottom(node);
+ }
+ };
+
+ bool find_augmenting_path(bool commit)
+ {
+ NodePrime source_prime = {source, true};
+ NodePrime sink_prime = {sink, false};
+ vector<NodePrime> path = {source_prime};
+ pool<NodePrime> visited = {};
+ bool found;
+ do {
+ found = false;
+
+ auto node_prime = path.back();
+ visited.insert(node_prime);
+
+ if (!node_prime.is_bottom) // vt
+ {
+ if (!visited[node_prime.as_bottom()] && node_flow[node_prime.node] < MAX_NODE_FLOW)
+ {
+ path.push_back(node_prime.as_bottom());
+ found = true;
+ }
+ else
+ {
+ for (auto node_pred : edges_bw[node_prime.node])
+ {
+ if (!visited[NodePrime::bottom(node_pred)] && edge_flow[{node_pred, node_prime.node}] > 0)
+ {
+ path.push_back(NodePrime::bottom(node_pred));
+ found = true;
+ break;
+ }
+ }
+ }
+ }
+ else // vb
+ {
+ if (!visited[node_prime.as_top()] && node_flow[node_prime.node] > 0)
+ {
+ path.push_back(node_prime.as_top());
+ found = true;
+ }
+ else
+ {
+ for (auto node_succ : edges_fw[node_prime.node])
+ {
+ if (!visited[NodePrime::top(node_succ)] /* && edge_flow[...] < ∞ */)
+ {
+ path.push_back(NodePrime::top(node_succ));
+ found = true;
+ break;
+ }
+ }
+ }
+ }
+
+ if (!found && path.size() > 1)
+ {
+ path.pop_back();
+ found = true;
+ }
+ } while(path.back() != sink_prime && found);
+
+ if (commit && path.back() == sink_prime)
+ {
+ auto prev_prime = path.front();
+ for (auto node_prime : path)
+ {
+ if (node_prime == source_prime)
+ continue;
+
+ log_assert(prev_prime.is_bottom ^ node_prime.is_bottom);
+ if (prev_prime.node == node_prime.node)
+ {
+ auto node = node_prime.node;
+ if (!prev_prime.is_bottom && node_prime.is_bottom)
+ {
+ log_assert(node_flow[node] == 0);
+ node_flow[node]++;
+ }
+ else
+ {
+ log_assert(node_flow[node] != 0);
+ node_flow[node]--;
+ }
+ }
+ else
+ {
+ if (prev_prime.is_bottom && !node_prime.is_bottom)
+ {
+ log_assert(true /* edge_flow[...] < ∞ */);
+ edge_flow[{prev_prime.node, node_prime.node}]++;
+ }
+ else
+ {
+ log_assert((edge_flow[{node_prime.node, prev_prime.node}] > 0));
+ edge_flow[{node_prime.node, prev_prime.node}]--;
+ }
+ }
+ prev_prime = node_prime;
+ }
+
+ node_flow[source]++;
+ node_flow[sink]++;
+ }
+ return path.back() == sink_prime;
+ }
+
+ int maximum_flow(int order)
+ {
+ int flow = 0;
+ while (flow < order && find_augmenting_path(/*commit=*/true))
+ flow++;
+ return flow + find_augmenting_path(/*commit=*/false);
+ }
+
+ pair<pool<RTLIL::SigBit>, pool<RTLIL::SigBit>> edge_cut()
+ {
+ pool<RTLIL::SigBit> x, xi;
+
+ NodePrime source_prime = {source, true};
+ NodePrime sink_prime = {sink, false};
+ pool<NodePrime> visited;
+ vector<NodePrime> worklist = {source_prime};
+ while (!worklist.empty())
+ {
+ auto node_prime = worklist.back();
+ worklist.pop_back();
+ if (visited[node_prime])
+ continue;
+ visited.insert(node_prime);
+
+ if (!node_prime.is_bottom)
+ x.insert(node_prime.node);
+
+ // Mincut is constructed by traversing a graph in an undirected way along forward edges that aren't full, or backward edges
+ // that aren't empty.
+ if (!node_prime.is_bottom) // top
+ {
+ if (node_flow[node_prime.node] < MAX_NODE_FLOW)
+ worklist.push_back(node_prime.as_bottom());
+ for (auto node_pred : edges_bw[node_prime.node])
+ if (edge_flow[{node_pred, node_prime.node}] > 0)
+ worklist.push_back(NodePrime::bottom(node_pred));
+ }
+ else // bottom
+ {
+ if (node_flow[node_prime.node] > 0)
+ worklist.push_back(node_prime.as_top());
+ for (auto node_succ : edges_fw[node_prime.node])
+ if (true /* edge_flow[...] < ∞ */)
+ worklist.push_back(NodePrime::top(node_succ));
+ }
+ }
+
+ for (auto node : nodes)
+ if (!x[node])
+ xi.insert(node);
+
+ for (auto collapsed_node : collapsed[sink])
+ xi.insert(collapsed_node);
+
+ log_assert(!x[sink] && xi[sink]);
+ return {x, xi};
+ }
+};
+
+struct FlowmapWorker
+{
+ int order;
+ int r_alpha, r_beta, r_gamma;
+ bool debug, debug_relax;
+
+ RTLIL::Module *module;
+ SigMap sigmap;
+ ModIndex index;
+
+ dict<RTLIL::SigBit, ModIndex::PortInfo> node_origins;
+
+ // Gate IR
+ pool<RTLIL::SigBit> nodes, inputs, outputs;
+ dict<RTLIL::SigBit, pool<RTLIL::SigBit>> edges_fw, edges_bw;
+ dict<RTLIL::SigBit, int> labels;
+
+ // LUT IR
+ pool<RTLIL::SigBit> lut_nodes;
+ dict<RTLIL::SigBit, pool<RTLIL::SigBit>> lut_gates;
+ dict<RTLIL::SigBit, pool<RTLIL::SigBit>> lut_edges_fw, lut_edges_bw;
+ dict<RTLIL::SigBit, int> lut_depths, lut_altitudes, lut_slacks;
+
+ int gate_count = 0, lut_count = 0, packed_count = 0;
+ int gate_area = 0, lut_area = 0;
+
+ enum class GraphMode {
+ Label,
+ Cut,
+ Slack,
+ };
+
+ void dump_dot_graph(string filename, GraphMode mode,
+ pool<RTLIL::SigBit> subgraph_nodes = {}, dict<RTLIL::SigBit, pool<RTLIL::SigBit>> subgraph_edges = {},
+ dict<RTLIL::SigBit, pool<RTLIL::SigBit>> collapsed = {},
+ pair<pool<RTLIL::SigBit>, pool<RTLIL::SigBit>> cut = {})
+ {
+ if (subgraph_nodes.empty())
+ subgraph_nodes = nodes;
+ if (subgraph_edges.empty())
+ subgraph_edges = edges_fw;
+
+ auto node_style = [&](RTLIL::SigBit node) {
+ string label = log_signal(node);
+ for (auto collapsed_node : collapsed[node])
+ if (collapsed_node != node)
+ label += stringf(" %s", log_signal(collapsed_node));
+ switch (mode)
+ {
+ case GraphMode::Label:
+ if (labels[node] == -1)
+ {
+ label += "\nl=?";
+ return GraphStyle{label};
+ }
+ else
+ {
+ label += stringf("\nl=%d", labels[node]);
+ string fillcolor = stringf("/set311/%d", 1 + labels[node] % 11);
+ return GraphStyle{label, "", fillcolor};
+ }
+
+ case GraphMode::Cut:
+ if (cut.first[node])
+ return GraphStyle{label, "blue"};
+ if (cut.second[node])
+ return GraphStyle{label, "red"};
+ return GraphStyle{label};
+
+ case GraphMode::Slack:
+ label += stringf("\nd=%d a=%d\ns=%d", lut_depths[node], lut_altitudes[node], lut_slacks[node]);
+ return GraphStyle{label, lut_slacks[node] == 0 ? "red" : "black"};
+ }
+ return GraphStyle{label};
+ };
+ auto edge_style = [&](RTLIL::SigBit, RTLIL::SigBit) {
+ return GraphStyle{};
+ };
+ ::dump_dot_graph(filename, subgraph_nodes, subgraph_edges, inputs, outputs, node_style, edge_style, module->name.str());
+ }
+
+ void dump_dot_lut_graph(string filename, GraphMode mode)
+ {
+ pool<RTLIL::SigBit> lut_and_input_nodes;
+ lut_and_input_nodes.insert(lut_nodes.begin(), lut_nodes.end());
+ lut_and_input_nodes.insert(inputs.begin(), inputs.end());
+ dump_dot_graph(filename, mode, lut_and_input_nodes, lut_edges_fw, lut_gates);
+ }
+
+ pool<RTLIL::SigBit> find_subgraph(RTLIL::SigBit sink)
+ {
+ pool<RTLIL::SigBit> subgraph;
+ pool<RTLIL::SigBit> worklist = {sink};
+ while (!worklist.empty())
+ {
+ auto node = worklist.pop();
+ subgraph.insert(node);
+ for (auto source : edges_bw[node])
+ {
+ if (!subgraph[source])
+ worklist.insert(source);
+ }
+ }
+ return subgraph;
+ }
+
+ FlowGraph build_flow_graph(RTLIL::SigBit sink, int p)
+ {
+ FlowGraph flow_graph;
+ flow_graph.sink = sink;
+
+ pool<RTLIL::SigBit> worklist = {sink}, visited;
+ while (!worklist.empty())
+ {
+ auto node = worklist.pop();
+ visited.insert(node);
+
+ auto collapsed_node = labels[node] == p ? sink : node;
+ if (node != collapsed_node)
+ flow_graph.collapsed[collapsed_node].insert(node);
+ flow_graph.nodes.insert(collapsed_node);
+
+ for (auto node_pred : edges_bw[node])
+ {
+ auto collapsed_node_pred = labels[node_pred] == p ? sink : node_pred;
+ if (node_pred != collapsed_node_pred)
+ flow_graph.collapsed[collapsed_node_pred].insert(node_pred);
+ if (collapsed_node != collapsed_node_pred)
+ {
+ flow_graph.edges_bw[collapsed_node].insert(collapsed_node_pred);
+ flow_graph.edges_fw[collapsed_node_pred].insert(collapsed_node);
+ }
+ if (inputs[node_pred])
+ {
+ flow_graph.edges_bw[collapsed_node_pred].insert(flow_graph.source);
+ flow_graph.edges_fw[flow_graph.source].insert(collapsed_node_pred);
+ }
+
+ if (!visited[node_pred])
+ worklist.insert(node_pred);
+ }
+ }
+ return flow_graph;
+ }
+
+ void discover_nodes(pool<IdString> cell_types)
+ {
+ for (auto cell : module->selected_cells())
+ {
+ if (!cell_types[cell->type])
+ continue;
+
+ if (!cell->known())
+ log_error("Cell %s (%s.%s) is unknown.\n", cell->type.c_str(), log_id(module), log_id(cell));
+
+ pool<RTLIL::SigBit> fanout;
+ for (auto conn : cell->connections())
+ {
+ if (!cell->output(conn.first)) continue;
+ int offset = -1;
+ for (auto bit : conn.second)
+ {
+ offset++;
+ if (!bit.wire) continue;
+ auto mapped_bit = sigmap(bit);
+ if (nodes[mapped_bit])
+ log_error("Multiple drivers found for wire %s.\n", log_signal(mapped_bit));
+ nodes.insert(mapped_bit);
+ node_origins[mapped_bit] = ModIndex::PortInfo(cell, conn.first, offset);
+ fanout.insert(mapped_bit);
+ }
+ }
+
+ int fanin = 0;
+ for (auto conn : cell->connections())
+ {
+ if (!cell->input(conn.first)) continue;
+ for (auto bit : sigmap(conn.second))
+ {
+ if (!bit.wire) continue;
+ for (auto fanout_bit : fanout)
+ {
+ edges_fw[bit].insert(fanout_bit);
+ edges_bw[fanout_bit].insert(bit);
+ }
+ fanin++;
+ }
+ }
+
+ if (fanin > order)
+ log_error("Cell %s (%s.%s) with fan-in %d cannot be mapped to a %d-LUT.\n",
+ cell->type.c_str(), log_id(module), log_id(cell), fanin, order);
+
+ gate_count++;
+ gate_area += 1 << fanin;
+ }
+
+ for (auto edge : edges_fw)
+ {
+ if (!nodes[edge.first])
+ {
+ inputs.insert(edge.first);
+ nodes.insert(edge.first);
+ }
+ }
+
+ for (auto node : nodes)
+ {
+ auto node_info = index.query(node);
+ if (node_info->is_output && !inputs[node])
+ outputs.insert(node);
+ for (auto port : node_info->ports)
+ if (!cell_types[port.cell->type] && !inputs[node])
+ outputs.insert(node);
+ }
+
+ if (debug)
+ {
+ dump_dot_graph("flowmap-initial.dot", GraphMode::Label);
+ log("Dumped initial graph to `flowmap-initial.dot`.\n");
+ }
+ }
+
+ void label_nodes()
+ {
+ for (auto node : nodes)
+ labels[node] = -1;
+ for (auto input : inputs)
+ {
+ if (input.wire->attributes.count("\\$flowmap_level"))
+ labels[input] = input.wire->attributes["\\$flowmap_level"].as_int();
+ else
+ labels[input] = 0;
+ }
+
+ pool<RTLIL::SigBit> worklist = nodes;
+ int debug_num = 0;
+ while (!worklist.empty())
+ {
+ auto sink = worklist.pop();
+ if (labels[sink] != -1)
+ continue;
+
+ bool inputs_have_labels = true;
+ for (auto sink_input : edges_bw[sink])
+ {
+ if (labels[sink_input] == -1)
+ {
+ inputs_have_labels = false;
+ break;
+ }
+ }
+ if (!inputs_have_labels)
+ continue;
+
+ if (debug)
+ {
+ debug_num++;
+ log("Examining subgraph %d rooted in %s.\n", debug_num, log_signal(sink));
+ }
+
+ pool<RTLIL::SigBit> subgraph = find_subgraph(sink);
+
+ int p = 1;
+ for (auto subgraph_node : subgraph)
+ p = max(p, labels[subgraph_node]);
+
+ FlowGraph flow_graph = build_flow_graph(sink, p);
+ int flow = flow_graph.maximum_flow(order);
+ pool<RTLIL::SigBit> x, xi;
+ if (flow <= order)
+ {
+ labels[sink] = p;
+ auto cut = flow_graph.edge_cut();
+ x = cut.first;
+ xi = cut.second;
+ }
+ else
+ {
+ labels[sink] = p + 1;
+ x = subgraph;
+ x.erase(sink);
+ xi.insert(sink);
+ }
+ lut_gates[sink] = xi;
+
+ pool<RTLIL::SigBit> k;
+ for (auto xi_node : xi)
+ {
+ for (auto xi_node_pred : edges_bw[xi_node])
+ if (x[xi_node_pred])
+ k.insert(xi_node_pred);
+ }
+ log_assert((int)k.size() <= order);
+ lut_edges_bw[sink] = k;
+ for (auto k_node : k)
+ lut_edges_fw[k_node].insert(sink);
+
+ if (debug)
+ {
+ log(" Maximum flow: %d. Assigned label %d.\n", flow, labels[sink]);
+ dump_dot_graph(stringf("flowmap-%d-sub.dot", debug_num), GraphMode::Cut, subgraph, {}, {}, {x, xi});
+ log(" Dumped subgraph to `flowmap-%d-sub.dot`.\n", debug_num);
+ flow_graph.dump_dot_graph(stringf("flowmap-%d-flow.dot", debug_num));
+ log(" Dumped flow graph to `flowmap-%d-flow.dot`.\n", debug_num);
+ log(" LUT inputs:");
+ for (auto k_node : k)
+ log(" %s", log_signal(k_node));
+ log(".\n");
+ log(" LUT packed gates:");
+ for (auto xi_node : xi)
+ log(" %s", log_signal(xi_node));
+ log(".\n");
+ }
+
+ for (auto sink_succ : edges_fw[sink])
+ worklist.insert(sink_succ);
+ }
+
+ if (debug)
+ {
+ dump_dot_graph("flowmap-labeled.dot", GraphMode::Label);
+ log("Dumped labeled graph to `flowmap-labeled.dot`.\n");
+ }
+ }
+
+ int map_luts()
+ {
+ pool<RTLIL::SigBit> worklist = outputs;
+ while (!worklist.empty())
+ {
+ auto lut_node = worklist.pop();
+ lut_nodes.insert(lut_node);
+ for (auto input_node : lut_edges_bw[lut_node])
+ if (!lut_nodes[input_node] && !inputs[input_node])
+ worklist.insert(input_node);
+ }
+
+ int depth = 0;
+ for (auto label : labels)
+ depth = max(depth, label.second);
+ log("Mapped to %zu LUTs with maximum depth %d.\n", lut_nodes.size(), depth);
+
+ if (debug)
+ {
+ dump_dot_lut_graph("flowmap-mapped.dot", GraphMode::Label);
+ log("Dumped mapped graph to `flowmap-mapped.dot`.\n");
+ }
+
+ return depth;
+ }
+
+ void realize_derealize_lut(RTLIL::SigBit lut, pool<RTLIL::SigBit> *changed = nullptr)
+ {
+ pool<RTLIL::SigBit> worklist = {lut};
+ while (!worklist.empty())
+ {
+ auto lut = worklist.pop();
+ if (inputs[lut])
+ continue;
+
+ bool realized_successors = false;
+ for (auto lut_succ : lut_edges_fw[lut])
+ if (lut_nodes[lut_succ])
+ realized_successors = true;
+
+ if (realized_successors && !lut_nodes[lut])
+ lut_nodes.insert(lut);
+ else if (!realized_successors && lut_nodes[lut])
+ lut_nodes.erase(lut);
+ else
+ continue;
+
+ for (auto lut_pred : lut_edges_bw[lut])
+ worklist.insert(lut_pred);
+
+ if (changed)
+ changed->insert(lut);
+ }
+ }
+
+ void add_lut_edge(RTLIL::SigBit pred, RTLIL::SigBit succ, pool<RTLIL::SigBit> *changed = nullptr)
+ {
+ log_assert(!lut_edges_fw[pred][succ] && !lut_edges_bw[succ][pred]);
+ log_assert((int)lut_edges_bw[succ].size() < order);
+
+ lut_edges_fw[pred].insert(succ);
+ lut_edges_bw[succ].insert(pred);
+ realize_derealize_lut(pred, changed);
+
+ if (changed)
+ {
+ changed->insert(pred);
+ changed->insert(succ);
+ }
+ }
+
+ void remove_lut_edge(RTLIL::SigBit pred, RTLIL::SigBit succ, pool<RTLIL::SigBit> *changed = nullptr)
+ {
+ log_assert(lut_edges_fw[pred][succ] && lut_edges_bw[succ][pred]);
+
+ lut_edges_fw[pred].erase(succ);
+ lut_edges_bw[succ].erase(pred);
+ realize_derealize_lut(pred, changed);
+
+ if (changed)
+ {
+ if (lut_nodes[pred])
+ changed->insert(pred);
+ changed->insert(succ);
+ }
+ }
+
+ pair<pool<RTLIL::SigBit>, pool<RTLIL::SigBit>> cut_lut_at_gate(RTLIL::SigBit lut, RTLIL::SigBit lut_gate)
+ {
+ pool<RTLIL::SigBit> gate_inputs = lut_edges_bw[lut];
+ pool<RTLIL::SigBit> other_inputs;
+ pool<RTLIL::SigBit> worklist = {lut};
+ while (!worklist.empty())
+ {
+ auto node = worklist.pop();
+ for (auto node_pred : edges_bw[node])
+ {
+ if (node_pred == lut_gate)
+ continue;
+ if (lut_gates[lut][node_pred])
+ worklist.insert(node_pred);
+ else
+ {
+ gate_inputs.erase(node_pred);
+ other_inputs.insert(node_pred);
+ }
+ }
+ }
+ return {gate_inputs, other_inputs};
+ }
+
+ void compute_lut_distances(dict<RTLIL::SigBit, int> &lut_distances, bool forward,
+ pool<RTLIL::SigBit> initial = {}, pool<RTLIL::SigBit> *changed = nullptr)
+ {
+ pool<RTLIL::SigBit> terminals = forward ? inputs : outputs;
+ auto &lut_edges_next = forward ? lut_edges_fw : lut_edges_bw;
+ auto &lut_edges_prev = forward ? lut_edges_bw : lut_edges_fw;
+
+ if (initial.empty())
+ initial = terminals;
+ for (auto node : initial)
+ lut_distances.erase(node);
+
+ pool<RTLIL::SigBit> worklist = initial;
+ while (!worklist.empty())
+ {
+ auto lut = worklist.pop();
+ int lut_distance = 0;
+ if (forward && inputs[lut])
+ lut_distance = labels[lut]; // to support (* $flowmap_level=n *)
+ for (auto lut_prev : lut_edges_prev[lut])
+ if ((lut_nodes[lut_prev] || inputs[lut_prev]) && lut_distances.count(lut_prev))
+ lut_distance = max(lut_distance, lut_distances[lut_prev] + 1);
+ if (!lut_distances.count(lut) || lut_distances[lut] != lut_distance)
+ {
+ lut_distances[lut] = lut_distance;
+ if (changed != nullptr && !inputs[lut])
+ changed->insert(lut);
+ for (auto lut_next : lut_edges_next[lut])
+ if (lut_nodes[lut_next] || inputs[lut_next])
+ worklist.insert(lut_next);
+ }
+ }
+ }
+
+ void check_lut_distances(const dict<RTLIL::SigBit, int> &lut_distances, bool forward)
+ {
+ dict<RTLIL::SigBit, int> gold_lut_distances;
+ compute_lut_distances(gold_lut_distances, forward);
+ for (auto lut_distance : lut_distances)
+ if (lut_nodes[lut_distance.first])
+ log_assert(lut_distance.second == gold_lut_distances[lut_distance.first]);
+ }
+
+ // LUT depth is the length of the longest path from any input in LUT fan-in to LUT.
+ // LUT altitude (for lack of a better term) is the length of the longest path from LUT to any output in LUT fan-out.
+ void update_lut_depths_altitudes(pool<RTLIL::SigBit> worklist = {}, pool<RTLIL::SigBit> *changed = nullptr)
+ {
+ compute_lut_distances(lut_depths, /*forward=*/true, worklist, changed);
+ compute_lut_distances(lut_altitudes, /*forward=*/false, worklist, changed);
+ if (debug_relax && !worklist.empty()) {
+ check_lut_distances(lut_depths, /*forward=*/true);
+ check_lut_distances(lut_altitudes, /*forward=*/false);
+ }
+ }
+
+ // LUT critical output set is the set of outputs whose depth will increase (equivalently, slack will decrease) if the depth of
+ // the LUT increases. (This is referred to as RPOv for LUTv in the paper.)
+ void compute_lut_critical_outputs(dict<RTLIL::SigBit, pool<RTLIL::SigBit>> &lut_critical_outputs,
+ pool<RTLIL::SigBit> worklist = {})
+ {
+ if (worklist.empty())
+ worklist = lut_nodes;
+
+ while (!worklist.empty())
+ {
+ bool updated_some = false;
+ for (auto lut : worklist)
+ {
+ if (outputs[lut])
+ lut_critical_outputs[lut] = {lut};
+ else
+ {
+ bool all_succ_computed = true;
+ lut_critical_outputs[lut] = {};
+ for (auto lut_succ : lut_edges_fw[lut])
+ {
+ if (lut_nodes[lut_succ] && lut_depths[lut_succ] == lut_depths[lut] + 1)
+ {
+ if (lut_critical_outputs.count(lut_succ))
+ lut_critical_outputs[lut].insert(lut_critical_outputs[lut_succ].begin(), lut_critical_outputs[lut_succ].end());
+ else
+ {
+ all_succ_computed = false;
+ break;
+ }
+ }
+ }
+ if (!all_succ_computed)
+ {
+ lut_critical_outputs.erase(lut);
+ continue;
+ }
+ }
+ worklist.erase(lut);
+ updated_some = true;
+ }
+ log_assert(updated_some);
+ }
+ }
+
+ // Invalidating LUT critical output sets is tricky, because increasing the depth of a LUT may take other, adjacent LUTs off the critical
+ // path to the output. Conservatively, if we increase depth of some LUT, every LUT in its input cone needs to have its critical output
+ // set invalidated, too.
+ pool<RTLIL::SigBit> invalidate_lut_critical_outputs(dict<RTLIL::SigBit, pool<RTLIL::SigBit>> &lut_critical_outputs,
+ pool<RTLIL::SigBit> worklist)
+ {
+ pool<RTLIL::SigBit> changed;
+ while (!worklist.empty())
+ {
+ auto lut = worklist.pop();
+ changed.insert(lut);
+ lut_critical_outputs.erase(lut);
+ for (auto lut_pred : lut_edges_bw[lut])
+ {
+ if (lut_nodes[lut_pred] && !changed[lut_pred])
+ {
+ changed.insert(lut_pred);
+ worklist.insert(lut_pred);
+ }
+ }
+ }
+ return changed;
+ }
+
+ void check_lut_critical_outputs(const dict<RTLIL::SigBit, pool<RTLIL::SigBit>> &lut_critical_outputs)
+ {
+ dict<RTLIL::SigBit, pool<RTLIL::SigBit>> gold_lut_critical_outputs;
+ compute_lut_critical_outputs(gold_lut_critical_outputs);
+ for (auto lut_critical_output : lut_critical_outputs)
+ if (lut_nodes[lut_critical_output.first])
+ log_assert(lut_critical_output.second == gold_lut_critical_outputs[lut_critical_output.first]);
+ }
+
+ void update_lut_critical_outputs(dict<RTLIL::SigBit, pool<RTLIL::SigBit>> &lut_critical_outputs,
+ pool<RTLIL::SigBit> worklist = {})
+ {
+ if (!worklist.empty())
+ {
+ pool<RTLIL::SigBit> invalidated = invalidate_lut_critical_outputs(lut_critical_outputs, worklist);
+ compute_lut_critical_outputs(lut_critical_outputs, invalidated);
+ check_lut_critical_outputs(lut_critical_outputs);
+ }
+ else
+ compute_lut_critical_outputs(lut_critical_outputs);
+ }
+
+ void update_breaking_node_potentials(dict<RTLIL::SigBit, dict<RTLIL::SigBit, int>> &potentials,
+ const dict<RTLIL::SigBit, pool<RTLIL::SigBit>> &lut_critical_outputs)
+ {
+ for (auto lut : lut_nodes)
+ {
+ if (potentials.count(lut))
+ continue;
+ if (lut_gates[lut].size() == 1 || lut_slacks[lut] == 0)
+ continue;
+
+ if (debug_relax)
+ log(" Computing potentials for LUT %s.\n", log_signal(lut));
+
+ for (auto lut_gate : lut_gates[lut])
+ {
+ if (lut == lut_gate)
+ continue;
+
+ if (debug_relax)
+ log(" Considering breaking node %s.\n", log_signal(lut_gate));
+
+ int r_ex, r_im, r_slk;
+
+ auto cut_inputs = cut_lut_at_gate(lut, lut_gate);
+ pool<RTLIL::SigBit> gate_inputs = cut_inputs.first, other_inputs = cut_inputs.second;
+ if (gate_inputs.empty() && (int)other_inputs.size() == order)
+ {
+ if (debug_relax)
+ log(" Breaking would result in a (k+1)-LUT.\n");
+ continue;
+ }
+
+ pool<RTLIL::SigBit> elim_fanin_luts;
+ for (auto gate_input : gate_inputs)
+ {
+ if (lut_edges_fw[gate_input].size() == 1)
+ {
+ log_assert(lut_edges_fw[gate_input][lut]);
+ elim_fanin_luts.insert(gate_input);
+ }
+ }
+ if (debug_relax)
+ {
+ if (!lut_nodes[lut_gate])
+ log(" Breaking requires a new LUT.\n");
+ if (!gate_inputs.empty())
+ {
+ log(" Breaking eliminates LUT inputs");
+ for (auto gate_input : gate_inputs)
+ log(" %s", log_signal(gate_input));
+ log(".\n");
+ }
+ if (!elim_fanin_luts.empty())
+ {
+ log(" Breaking eliminates fan-in LUTs");
+ for (auto elim_fanin_lut : elim_fanin_luts)
+ log(" %s", log_signal(elim_fanin_lut));
+ log(".\n");
+ }
+ }
+ r_ex = (lut_nodes[lut_gate] ? 0 : -1) + elim_fanin_luts.size();
+
+ pool<pair<RTLIL::SigBit, RTLIL::SigBit>> maybe_mergeable_luts;
+
+ // Try to merge LUTv with one of its successors.
+ RTLIL::SigBit last_lut_succ;
+ int fanout = 0;
+ for (auto lut_succ : lut_edges_fw[lut])
+ {
+ if (lut_nodes[lut_succ])
+ {
+ fanout++;
+ last_lut_succ = lut_succ;
+ }
+ }
+ if (fanout == 1)
+ maybe_mergeable_luts.insert({lut, last_lut_succ});
+
+ // Try to merge LUTv with one of its predecessors.
+ for (auto lut_pred : other_inputs)
+ {
+ int fanout = 0;
+ for (auto lut_pred_succ : lut_edges_fw[lut_pred])
+ if (lut_nodes[lut_pred_succ] || lut_pred_succ == lut_gate)
+ fanout++;
+ if (fanout == 1)
+ maybe_mergeable_luts.insert({lut_pred, lut});
+ }
+
+ // Try to merge LUTw with one of its predecessors.
+ for (auto lut_gate_pred : lut_edges_bw[lut_gate])
+ {
+ int fanout = 0;
+ for (auto lut_gate_pred_succ : lut_edges_fw[lut_gate_pred])
+ if (lut_nodes[lut_gate_pred_succ] || lut_gate_pred_succ == lut_gate)
+ fanout++;
+ if (fanout == 1)
+ maybe_mergeable_luts.insert({lut_gate_pred, lut_gate});
+ }
+
+ r_im = 0;
+ for (auto maybe_mergeable_pair : maybe_mergeable_luts)
+ {
+ log_assert(lut_edges_fw[maybe_mergeable_pair.first][maybe_mergeable_pair.second]);
+ pool<RTLIL::SigBit> unique_inputs;
+ for (auto fst_lut_pred : lut_edges_bw[maybe_mergeable_pair.first])
+ if (lut_nodes[fst_lut_pred])
+ unique_inputs.insert(fst_lut_pred);
+ for (auto snd_lut_pred : lut_edges_bw[maybe_mergeable_pair.second])
+ if (lut_nodes[snd_lut_pred])
+ unique_inputs.insert(snd_lut_pred);
+ unique_inputs.erase(maybe_mergeable_pair.first);
+ if ((int)unique_inputs.size() <= order)
+ {
+ if (debug_relax)
+ log(" Breaking may allow merging %s and %s.\n",
+ log_signal(maybe_mergeable_pair.first), log_signal(maybe_mergeable_pair.second));
+ r_im++;
+ }
+ }
+
+ int lut_gate_depth;
+ if (lut_nodes[lut_gate])
+ lut_gate_depth = lut_depths[lut_gate];
+ else
+ {
+ lut_gate_depth = 0;
+ for (auto lut_gate_pred : lut_edges_bw[lut_gate])
+ lut_gate_depth = max(lut_gate_depth, lut_depths[lut_gate_pred] + 1);
+ }
+ if (lut_depths[lut] >= lut_gate_depth + 1)
+ r_slk = 0;
+ else
+ {
+ int depth_delta = lut_gate_depth + 1 - lut_depths[lut];
+ if (depth_delta > lut_slacks[lut])
+ {
+ if (debug_relax)
+ log(" Breaking would increase depth by %d, which is more than available slack.\n", depth_delta);
+ continue;
+ }
+
+ if (debug_relax)
+ {
+ log(" Breaking increases depth of LUT by %d.\n", depth_delta);
+ if (lut_critical_outputs.at(lut).size())
+ {
+ log(" Breaking decreases slack of outputs");
+ for (auto lut_critical_output : lut_critical_outputs.at(lut))
+ {
+ log(" %s", log_signal(lut_critical_output));
+ log_assert(lut_slacks[lut_critical_output] > 0);
+ }
+ log(".\n");
+ }
+ }
+ r_slk = lut_critical_outputs.at(lut).size() * depth_delta;
+ }
+
+ int p = 100 * (r_alpha * r_ex + r_beta * r_im + r_gamma) / (r_slk + 1);
+ if (debug_relax)
+ log(" Potential for breaking node %s: %d (Rex=%d, Rim=%d, Rslk=%d).\n",
+ log_signal(lut_gate), p, r_ex, r_im, r_slk);
+ potentials[lut][lut_gate] = p;
+ }
+ }
+ }
+
+ bool relax_depth_for_bound(bool first, int depth_bound, dict<RTLIL::SigBit, pool<RTLIL::SigBit>> &lut_critical_outputs)
+ {
+ size_t initial_count = lut_nodes.size();
+
+ for (auto node : lut_nodes)
+ {
+ lut_slacks[node] = depth_bound - (lut_depths[node] + lut_altitudes[node]);
+ log_assert(lut_slacks[node] >= 0);
+ }
+ if (debug)
+ {
+ dump_dot_lut_graph(stringf("flowmap-relax-%d-initial.dot", depth_bound), GraphMode::Slack);
+ log(" Dumped initial slack graph to `flowmap-relax-%d-initial.dot`.\n", depth_bound);
+ }
+
+ dict<RTLIL::SigBit, dict<RTLIL::SigBit, int>> potentials;
+ for (int break_num = 1; ; break_num++)
+ {
+ update_breaking_node_potentials(potentials, lut_critical_outputs);
+
+ if (potentials.empty())
+ {
+ log(" Relaxed to %zu (+%zu) LUTs.\n", lut_nodes.size(), lut_nodes.size() - initial_count);
+ if (!first && break_num == 1)
+ {
+ log(" Design fully relaxed.\n");
+ return true;
+ }
+ else
+ {
+ log(" Slack exhausted.\n");
+ break;
+ }
+ }
+
+ RTLIL::SigBit breaking_lut, breaking_gate;
+ int best_potential = INT_MIN;
+ for (auto lut_gate_potentials : potentials)
+ {
+ for (auto gate_potential : lut_gate_potentials.second)
+ {
+ if (gate_potential.second > best_potential)
+ {
+ breaking_lut = lut_gate_potentials.first;
+ breaking_gate = gate_potential.first;
+ best_potential = gate_potential.second;
+ }
+ }
+ }
+ log(" Breaking LUT %s to %s LUT %s (potential %d).\n",
+ log_signal(breaking_lut), lut_nodes[breaking_gate] ? "reuse" : "extract", log_signal(breaking_gate), best_potential);
+
+ if (debug_relax)
+ log(" Removing breaking gate %s from LUT.\n", log_signal(breaking_gate));
+ lut_gates[breaking_lut].erase(breaking_gate);
+
+ auto cut_inputs = cut_lut_at_gate(breaking_lut, breaking_gate);
+ pool<RTLIL::SigBit> gate_inputs = cut_inputs.first, other_inputs = cut_inputs.second;
+
+ pool<RTLIL::SigBit> worklist = lut_gates[breaking_lut];
+ pool<RTLIL::SigBit> elim_gates = gate_inputs;
+ while (!worklist.empty())
+ {
+ auto lut_gate = worklist.pop();
+ bool all_gate_preds_elim = true;
+ for (auto lut_gate_pred : edges_bw[lut_gate])
+ if (!elim_gates[lut_gate_pred])
+ all_gate_preds_elim = false;
+ if (all_gate_preds_elim)
+ {
+ if (debug_relax)
+ log(" Removing gate %s from LUT.\n", log_signal(lut_gate));
+ lut_gates[breaking_lut].erase(lut_gate);
+ for (auto lut_gate_succ : edges_fw[lut_gate])
+ worklist.insert(lut_gate_succ);
+ }
+ }
+ log_assert(!lut_gates[breaking_lut].empty());
+
+ pool<RTLIL::SigBit> directly_affected_nodes = {breaking_lut};
+ for (auto gate_input : gate_inputs)
+ {
+ if (debug_relax)
+ log(" Removing LUT edge %s -> %s.\n", log_signal(gate_input), log_signal(breaking_lut));
+ remove_lut_edge(gate_input, breaking_lut, &directly_affected_nodes);
+ }
+ if (debug_relax)
+ log(" Adding LUT edge %s -> %s.\n", log_signal(breaking_gate), log_signal(breaking_lut));
+ add_lut_edge(breaking_gate, breaking_lut, &directly_affected_nodes);
+
+ if (debug_relax)
+ log(" Updating slack and potentials.\n");
+
+ pool<RTLIL::SigBit> indirectly_affected_nodes = {};
+ update_lut_depths_altitudes(directly_affected_nodes, &indirectly_affected_nodes);
+ update_lut_critical_outputs(lut_critical_outputs, indirectly_affected_nodes);
+ for (auto node : indirectly_affected_nodes)
+ {
+ lut_slacks[node] = depth_bound - (lut_depths[node] + lut_altitudes[node]);
+ log_assert(lut_slacks[node] >= 0);
+ if (debug_relax)
+ log(" LUT %s now has depth %d and slack %d.\n", log_signal(node), lut_depths[node], lut_slacks[node]);
+ }
+
+ worklist = indirectly_affected_nodes;
+ pool<RTLIL::SigBit> visited;
+ while (!worklist.empty())
+ {
+ auto node = worklist.pop();
+ visited.insert(node);
+ potentials.erase(node);
+ // We are invalidating the entire output cone of the gate IR node, not just of the LUT IR node. This is done to also invalidate
+ // all LUTs that could contain one of the indirectly affected nodes as a *part* of them, as they may not be in the output cone
+ // of any of the LUT IR nodes, e.g. if we have a LUT IR node A and node B as predecessors of node C, where node B includes all
+ // gates from node A.
+ for (auto node_succ : edges_fw[node])
+ if (!visited[node_succ])
+ worklist.insert(node_succ);
+ }
+
+ if (debug)
+ {
+ dump_dot_lut_graph(stringf("flowmap-relax-%d-break-%d.dot", depth_bound, break_num), GraphMode::Slack);
+ log(" Dumped slack graph after break %d to `flowmap-relax-%d-break-%d.dot`.\n", break_num, depth_bound, break_num);
+ }
+ }
+
+ return false;
+ }
+
+ void optimize_area(int depth, int optarea)
+ {
+ dict<RTLIL::SigBit, pool<RTLIL::SigBit>> lut_critical_outputs;
+ update_lut_depths_altitudes();
+ update_lut_critical_outputs(lut_critical_outputs);
+
+ for (int depth_bound = depth; depth_bound <= depth + optarea; depth_bound++)
+ {
+ log("Relaxing with depth bound %d.\n", depth_bound);
+ bool fully_relaxed = relax_depth_for_bound(depth_bound == depth, depth_bound, lut_critical_outputs);
+
+ if (fully_relaxed)
+ break;
+ }
+ }
+
+ void pack_cells(int minlut)
+ {
+ ConstEval ce(module);
+ for (auto input_node : inputs)
+ ce.stop(input_node);
+
+ pool<RTLIL::SigBit> mapped_nodes;
+ for (auto node : lut_nodes)
+ {
+ if (node_origins.count(node))
+ {
+ auto origin = node_origins[node];
+ if (origin.cell->getPort(origin.port).size() == 1)
+ log("Packing %s.%s.%s (%s).\n",
+ log_id(module), log_id(origin.cell), origin.port.c_str(), log_signal(node));
+ else
+ log("Packing %s.%s.%s [%d] (%s).\n",
+ log_id(module), log_id(origin.cell), origin.port.c_str(), origin.offset, log_signal(node));
+ }
+ else
+ {
+ log("Packing %s.%s.\n", log_id(module), log_signal(node));
+ }
+
+ for (auto gate_node : lut_gates[node])
+ {
+ log_assert(node_origins.count(gate_node));
+
+ if (gate_node == node)
+ continue;
+
+ auto gate_origin = node_origins[gate_node];
+ if (gate_origin.cell->getPort(gate_origin.port).size() == 1)
+ log(" Packing %s.%s.%s (%s).\n",
+ log_id(module), log_id(gate_origin.cell), gate_origin.port.c_str(), log_signal(gate_node));
+ else
+ log(" Packing %s.%s.%s [%d] (%s).\n",
+ log_id(module), log_id(gate_origin.cell), gate_origin.port.c_str(), gate_origin.offset, log_signal(gate_node));
+ }
+
+ vector<RTLIL::SigBit> input_nodes(lut_edges_bw[node].begin(), lut_edges_bw[node].end());
+ RTLIL::Const lut_table(State::Sx, max(1 << input_nodes.size(), 1 << minlut));
+ for (unsigned i = 0; i < (1 << input_nodes.size()); i++)
+ {
+ ce.push();
+ for (size_t n = 0; n < input_nodes.size(); n++)
+ ce.set(input_nodes[n], ((i >> n) & 1) ? State::S1 : State::S0);
+
+ RTLIL::SigSpec value = node, undef;
+ if (!ce.eval(value, undef))
+ {
+ string env;
+ for (auto input_node : input_nodes)
+ env += stringf(" %s = %s\n", log_signal(input_node), log_signal(ce.values_map(input_node)));
+ log_error("Cannot evaluate %s because %s is not defined.\nEvaluation environment:\n%s",
+ log_signal(node), log_signal(undef), env.c_str());
+ }
+
+ lut_table[i] = value.as_bool() ? State::S1 : State::S0;
+ ce.pop();
+ }
+
+ RTLIL::SigSpec lut_a, lut_y = node;
+ for (auto input_node : input_nodes)
+ lut_a.append_bit(input_node);
+ lut_a.append(RTLIL::Const(State::Sx, minlut - input_nodes.size()));
+
+ RTLIL::Cell *lut = module->addLut(NEW_ID, lut_a, lut_y, lut_table);
+ mapped_nodes.insert(node);
+ for (auto gate_node : lut_gates[node])
+ {
+ auto gate_origin = node_origins[gate_node];
+ lut->add_strpool_attribute("\\src", gate_origin.cell->get_strpool_attribute("\\src"));
+ packed_count++;
+ }
+ lut_count++;
+ lut_area += lut_table.size();
+
+ if ((int)input_nodes.size() >= minlut)
+ log(" Packed into a %zu-LUT %s.%s.\n", input_nodes.size(), log_id(module), log_id(lut));
+ else
+ log(" Packed into a %zu-LUT %s.%s (implemented as %d-LUT).\n", input_nodes.size(), log_id(module), log_id(lut), minlut);
+ }
+
+ for (auto node : mapped_nodes)
+ {
+ auto origin = node_origins[node];
+ RTLIL::SigSpec driver = origin.cell->getPort(origin.port);
+ driver[origin.offset] = module->addWire(NEW_ID);
+ origin.cell->setPort(origin.port, driver);
+ }
+ }
+
+ FlowmapWorker(int order, int minlut, pool<IdString> cell_types, int r_alpha, int r_beta, int r_gamma,
+ bool relax, int optarea, bool debug, bool debug_relax,
+ RTLIL::Module *module) :
+ order(order), r_alpha(r_alpha), r_beta(r_beta), r_gamma(r_gamma), debug(debug), debug_relax(debug_relax),
+ module(module), sigmap(module), index(module)
+ {
+ log("Labeling cells.\n");
+ discover_nodes(cell_types);
+ label_nodes();
+ int depth = map_luts();
+
+ if (relax)
+ {
+ log("\n");
+ log("Optimizing area.\n");
+ optimize_area(depth, optarea);
+ }
+
+ log("\n");
+ log("Packing cells.\n");
+ pack_cells(minlut);
+ }
+};
+
+static void split(std::vector<std::string> &tokens, const std::string &text, char sep)
+{
+ size_t start = 0, end = 0;
+ while ((end = text.find(sep, start)) != std::string::npos) {
+ tokens.push_back(text.substr(start, end - start));
+ start = end + 1;
+ }
+ tokens.push_back(text.substr(start));
+}
+
+struct FlowmapPass : public Pass {
+ FlowmapPass() : Pass("flowmap", "pack LUTs with FlowMap") { }
+ void help() YS_OVERRIDE
+ {
+ // |---v---|---v---|---v---|---v---|---v---|---v---|---v---|---v---|---v---|---v---|
+ log("\n");
+ log(" flowmap [options] [selection]\n");
+ log("\n");
+ log("This pass uses the FlowMap technology mapping algorithm to pack logic gates\n");
+ log("into k-LUTs with optimal depth. It allows mapping any circuit elements that can\n");
+ log("be evaluated with the `eval` pass, including cells with multiple output ports\n");
+ log("and multi-bit input and output ports.\n");
+ log("\n");
+ log(" -maxlut k\n");
+ log(" perform technology mapping for a k-LUT architecture. if not specified,\n");
+ log(" defaults to 3.\n");
+ log("\n");
+ log(" -minlut n\n");
+ log(" only produce n-input or larger LUTs. if not specified, defaults to 1.\n");
+ log("\n");
+ log(" -cells <cell>[,<cell>,...]\n");
+ log(" map specified cells. if not specified, maps $_NOT_, $_AND_, $_OR_,\n");
+ log(" $_XOR_ and $_MUX_, which are the outputs of the `simplemap` pass.\n");
+ log("\n");
+ log(" -relax\n");
+ log(" perform depth relaxation and area minimization.\n");
+ log("\n");
+ log(" -r-alpha n, -r-beta n, -r-gamma n\n");
+ log(" parameters of depth relaxation heuristic potential function.\n");
+ log(" if not specified, alpha=8, beta=2, gamma=1.\n");
+ log("\n");
+ log(" -optarea n\n");
+ log(" optimize for area by trading off at most n logic levels for fewer LUTs.\n");
+ log(" n may be zero, to optimize for area without increasing depth.\n");
+ log(" implies -relax.\n");
+ log("\n");
+ log(" -debug\n");
+ log(" dump intermediate graphs.\n");
+ log("\n");
+ log(" -debug-relax\n");
+ log(" explain decisions performed during depth relaxation.\n");
+ log("\n");
+ }
+ void execute(std::vector<std::string> args, RTLIL::Design *design) YS_OVERRIDE
+ {
+ int order = 3;
+ int minlut = 1;
+ vector<string> cells;
+ bool relax = false;
+ int r_alpha = 8, r_beta = 2, r_gamma = 1;
+ int optarea = 0;
+ bool debug = false, debug_relax = false;
+
+ size_t argidx;
+ for (argidx = 1; argidx < args.size(); argidx++)
+ {
+ if (args[argidx] == "-maxlut" && argidx + 1 < args.size())
+ {
+ order = atoi(args[++argidx].c_str());
+ continue;
+ }
+ if (args[argidx] == "-minlut" && argidx + 1 < args.size())
+ {
+ minlut = atoi(args[++argidx].c_str());
+ continue;
+ }
+ if (args[argidx] == "-cells" && argidx + 1 < args.size())
+ {
+ split(cells, args[++argidx], ',');
+ continue;
+ }
+ if (args[argidx] == "-relax")
+ {
+ relax = true;
+ continue;
+ }
+ if (args[argidx] == "-r-alpha" && argidx + 1 < args.size())
+ {
+ r_alpha = atoi(args[++argidx].c_str());
+ continue;
+ }
+ if (args[argidx] == "-r-beta" && argidx + 1 < args.size())
+ {
+ r_beta = atoi(args[++argidx].c_str());
+ continue;
+ }
+ if (args[argidx] == "-r-gamma" && argidx + 1 < args.size())
+ {
+ r_gamma = atoi(args[++argidx].c_str());
+ continue;
+ }
+ if (args[argidx] == "-optarea" && argidx + 1 < args.size())
+ {
+ relax = true;
+ optarea = atoi(args[++argidx].c_str());
+ continue;
+ }
+ if (args[argidx] == "-debug")
+ {
+ debug = true;
+ continue;
+ }
+ if (args[argidx] == "-debug-relax")
+ {
+ debug = debug_relax = true;
+ continue;
+ }
+ break;
+ }
+ extra_args(args, argidx, design);
+
+ pool<IdString> cell_types;
+ if (!cells.empty())
+ {
+ for (auto &cell : cells)
+ cell_types.insert(cell);
+ }
+ else
+ {
+ cell_types = {"$_NOT_", "$_AND_", "$_OR_", "$_XOR_", "$_MUX_"};
+ }
+
+ const char *algo_r = relax ? "-r" : "";
+ log_header(design, "Executing FLOWMAP pass (pack LUTs with FlowMap%s).\n", algo_r);
+
+ int gate_count = 0, lut_count = 0, packed_count = 0;
+ int gate_area = 0, lut_area = 0;
+ for (auto module : design->selected_modules())
+ {
+ FlowmapWorker worker(order, minlut, cell_types, r_alpha, r_beta, r_gamma, relax, optarea, debug, debug_relax, module);
+ gate_count += worker.gate_count;
+ lut_count += worker.lut_count;
+ packed_count += worker.packed_count;
+ gate_area += worker.gate_area;
+ lut_area += worker.lut_area;
+ }
+
+ log("\n");
+ log("Packed %d cells (%d of them duplicated) into %d LUTs.\n", packed_count, packed_count - gate_count, lut_count);
+ log("Solution takes %.1f%% of original gate area.\n", lut_area * 100.0 / gate_area);
+ }
+} FlowmapPass;
+
+PRIVATE_NAMESPACE_END