From a1256175cf23760b2ba605accbed27e22d5edeee Mon Sep 17 00:00:00 2001 From: Gabriel Gouvine Date: Wed, 8 Apr 2015 10:45:11 +0200 Subject: [PATCH] Coloquinte tool included in Coriolis --- coloquinte/CMakeLists.txt | 16 + coloquinte/cmake_modules/CMakeLists.txt | 2 + coloquinte/cmake_modules/FindColoquinte.cmake | 129 + coloquinte/src/CMakeLists.txt | 35 + coloquinte/src/MCF_opt.cxx | 147 + coloquinte/src/cell_swapping.cxx | 183 + coloquinte/src/checkers.cxx | 96 + coloquinte/src/circuit.cxx | 407 + coloquinte/src/coloquinte/circuit.hxx | 59 + coloquinte/src/coloquinte/circuit_helper.hxx | 90 + coloquinte/src/coloquinte/common.hxx | 110 + coloquinte/src/coloquinte/detailed.hxx | 91 + coloquinte/src/coloquinte/legalizer.hxx | 12 + coloquinte/src/coloquinte/netlist.hxx | 244 + .../coloquinte/optimization_subproblems.hxx | 158 + .../src/coloquinte/piecewise_linear.hxx | 29 + .../src/coloquinte/rough_legalizers.hxx | 252 + coloquinte/src/coloquinte/solvers.hxx | 88 + coloquinte/src/coloquinte/topologies.hxx | 33 + coloquinte/src/coloquinte/union_find.hxx | 47 + coloquinte/src/detailed.cxx | 260 + coloquinte/src/legalizer.cxx | 446 + coloquinte/src/lookup_table.cxx | 38654 ++++++++++++++++ coloquinte/src/optimization_subproblems.cxx | 511 + coloquinte/src/orientation.cxx | 166 + coloquinte/src/piecewise_linear.cxx | 258 + coloquinte/src/rough_legalizers.cxx | 1075 + coloquinte/src/row_opt.cxx | 599 + coloquinte/src/solvers.cxx | 381 + coloquinte/src/topologies.cxx | 513 + 30 files changed, 45091 insertions(+) create mode 100644 coloquinte/CMakeLists.txt create mode 100644 coloquinte/cmake_modules/CMakeLists.txt create mode 100644 coloquinte/cmake_modules/FindColoquinte.cmake create mode 100644 coloquinte/src/CMakeLists.txt create mode 100644 coloquinte/src/MCF_opt.cxx create mode 100644 coloquinte/src/cell_swapping.cxx create mode 100644 coloquinte/src/checkers.cxx create mode 100644 coloquinte/src/circuit.cxx create mode 100644 coloquinte/src/coloquinte/circuit.hxx create mode 100644 coloquinte/src/coloquinte/circuit_helper.hxx create mode 100644 coloquinte/src/coloquinte/common.hxx create mode 100644 coloquinte/src/coloquinte/detailed.hxx create mode 100644 coloquinte/src/coloquinte/legalizer.hxx create mode 100644 coloquinte/src/coloquinte/netlist.hxx create mode 100644 coloquinte/src/coloquinte/optimization_subproblems.hxx create mode 100644 coloquinte/src/coloquinte/piecewise_linear.hxx create mode 100644 coloquinte/src/coloquinte/rough_legalizers.hxx create mode 100644 coloquinte/src/coloquinte/solvers.hxx create mode 100644 coloquinte/src/coloquinte/topologies.hxx create mode 100644 coloquinte/src/coloquinte/union_find.hxx create mode 100644 coloquinte/src/detailed.cxx create mode 100644 coloquinte/src/legalizer.cxx create mode 100644 coloquinte/src/lookup_table.cxx create mode 100644 coloquinte/src/optimization_subproblems.cxx create mode 100644 coloquinte/src/orientation.cxx create mode 100644 coloquinte/src/piecewise_linear.cxx create mode 100644 coloquinte/src/rough_legalizers.cxx create mode 100644 coloquinte/src/row_opt.cxx create mode 100644 coloquinte/src/solvers.cxx create mode 100644 coloquinte/src/topologies.cxx diff --git a/coloquinte/CMakeLists.txt b/coloquinte/CMakeLists.txt new file mode 100644 index 00000000..21bbd080 --- /dev/null +++ b/coloquinte/CMakeLists.txt @@ -0,0 +1,16 @@ +# -*- explicit-buffer-name: "CMakeLists.txt" -*- + + project(Coloquinte) + + set(CMAKE_C_FLAGS_DEBUG " -Wall -O2 -g" CACHE STRING "C Compiler Debug options." FORCE) + set(CMAKE_C_FLAGS_RELEASE " -Wall -O3 -fopenmp" CACHE STRING "C Compiler Release options." FORCE) + set(CMAKE_CXX_FLAGS_DEBUG " -Wall -Og -g" CACHE STRING "C++ Compiler Debug options." FORCE) + set(CMAKE_CXX_FLAGS_RELEASE " -Wall -O3 -fopenmp" CACHE STRING "C++ Compiler Release options." FORCE) + + cmake_minimum_required(VERSION 2.4.0) + + add_definitions(-std=c++11) + + add_subdirectory(cmake_modules) + add_subdirectory(src) + diff --git a/coloquinte/cmake_modules/CMakeLists.txt b/coloquinte/cmake_modules/CMakeLists.txt new file mode 100644 index 00000000..db51b7bc --- /dev/null +++ b/coloquinte/cmake_modules/CMakeLists.txt @@ -0,0 +1,2 @@ + +install ( FILES FindColoquinte.cmake DESTINATION share/cmake/Modules ) diff --git a/coloquinte/cmake_modules/FindColoquinte.cmake b/coloquinte/cmake_modules/FindColoquinte.cmake new file mode 100644 index 00000000..1b77fe07 --- /dev/null +++ b/coloquinte/cmake_modules/FindColoquinte.cmake @@ -0,0 +1,129 @@ +# - Find the Coloquinte includes and libraries. +# The following variables are set if Coriolis is found. If COLOQUINTE is not +# found, COLOQUINTE_FOUND is set to false. +# COLOQUINTE_FOUND - True when the Coriolis include directory is found. +# COLOQUINTE_INCLUDE_DIR - the path to where the Coriolis include files are. +# COLOQUINTE_LIBRARIES - The path to where the Coriolis library files are. + + +# ============================================================================= +# Duplicated from as is standalone. +# +# Setup the _SEARCH_PATH. +# Where to find includes & libraries. +# + macro(setup_search_dir project) + if( NOT("$ENV{${project}_TOP}" STREQUAL "") ) + message("-- ${project}_TOP is set to $ENV{${project}_TOP}") + list(INSERT ${project}_DIR_SEARCH 0 "${DESTDIR}$ENV{${project}_TOP}") + endif( NOT("$ENV{${project}_TOP}" STREQUAL "") ) + + if( NOT("$ENV{${project}_USER_TOP}" STREQUAL "") ) + message("-- ${project}_USER_TOP is set to $ENV{${project}_USER_TOP}") + list(INSERT ${project}_DIR_SEARCH 0 "${DESTDIR}$ENV{${project}_USER_TOP}") + endif( NOT("$ENV{${project}_USER_TOP}" STREQUAL "") ) + + LIST(REMOVE_DUPLICATES ${project}_DIR_SEARCH) + + message("-- Components of ${project}_DIR_SEARCH:") + foreach(PATH ${${project}_DIR_SEARCH}) + message("-- ${PATH}") + endforeach(PATH) + endmacro(setup_search_dir project) + + +# +# Build _INCLUDE_DIR & _LIBRARIES and sets up _FOUND +# Usage: set_library_path( ) +# +# May be used any number of time on the same to create a list of +# . +# + macro(set_libraries_path configname library) + set(${configname}_FOUND "NOTFOUND") + + if(${library}_LIBRARY_PATH) + set(${configname}_FOUND "YES") + set(${configname}_INCLUDE_DIR ${${library}_INCLUDE_PATH}) + set(${configname}_LIBRARIES ${${library}_LIBRARY_PATH} ${${configname}_LIBRARIES}) + mark_as_advanced(${configname}_INCLUDE_DIR ${configname}_LIBRARIES) + endif(${library}_LIBRARY_PATH) + + if(NOT ${library}_INCLUDE_PATH) + set(${configname}_FOUND "NOTFOUND") + endif(NOT ${library}_INCLUDE_PATH) + endmacro ( set_libraries_path ) + + +# +# Checks if a set of libraries has been found, could be blocking or not. +# Usage: hurricane_check_libraries( ) +# +# If is ommitted, it is guessed from _FIND_REQUIRED. +# + macro(hurricane_check_libraries) + if(ARGC LESS 2) + set(REQUIRED ${ARGV0}_FIND_REQUIRED) + else(ARGC LESS 2) + set(REQUIRED ${ARGV1}) + endif(ARGC LESS 2) + if(${ARGV0}_FOUND) + if(NOT ${ARGV0}_FIND_QUIETLY) + if(${ARGV0}_FOUND) + message(STATUS "Found ${ARGV0}:") + foreach(library ${${ARGV0}_LIBRARIES}) + message(STATUS " ${library}") + endforeach(library) + endif(${ARGV0}_FOUND) + endif(NOT ${ARGV0}_FIND_QUIETLY) + else(${ARGV0}_FOUND) + if(REQUIRED) + message(FATAL_ERROR "${ARGV0} was not found. ${${ARGV0}_DIR_MESSAGE}") + endif(REQUIRED) + endif(${ARGV0}_FOUND) + endmacro(hurricane_check_libraries) + +# End of duplication. +# ============================================================================= + +#find_package(Eigen3 REQUIRED) + + set(COLOQUINTE_INCLUDE_PATH_DESCRIPTION "directory containing the Coloquinte include files. E.g /usr/local/include/coloquinte or /soc/coriolis/include/Coloquinte") + set(COLOQUINTE_DIR_MESSAGE "Set the COLOQUINTE_INCLUDE_DIR cmake cache entry to the ${COLOQUINTE_INCLUDE_PATH_DESCRIPTION}") + + # don't even bother under WIN32 + if(UNIX) + setup_search_dir(IMPORTEDS) + message(STATUS "IMPORTEDS_DIR_SEARCH: ${IMPORTEDS_DIR_SEARCH}") + # + # Look for an installation. + # + find_path(COLOQUINTE_INCLUDE_PATH NAMES coloquinte/circuit.hxx PATHS + # Look in other places. + ${IMPORTEDS_DIR_SEARCH} + PATH_SUFFIXES include + # Help the user find it if we cannot. + DOC "The ${COLOQUINTE_INCLUDE_PATH_DESCRIPTION}" + ) + + find_library(COLOQUINTE_LIBRARY_PATH + NAMES coloquinte + PATHS ${IMPORTEDS_DIR_SEARCH} + PATH_SUFFIXES lib${LIB_SUFFIX} + # Help the user find it if we cannot. + DOC "The ${COLOQUINTE_INCLUDE_PATH_DESCRIPTION}" + ) + + set(COLOQUINTE_FIND_QUIETLY FALSE) + + set_libraries_path(COLOQUINTE COLOQUINTE) + hurricane_check_libraries(COLOQUINTE) + + if(COLOQUINTE_FOUND) + add_definitions( -DHAVE_COLOQUINTE ) + endif() + + message(STATUS "COLOQUINTE_INCLUDE_PATH: ${COLOQUINTE_INCLUDE_PATH}") + message(STATUS "COLOQUINTE_LIBRARY: ${COLOQUINTE_LIBRARY}") + + endif(UNIX) diff --git a/coloquinte/src/CMakeLists.txt b/coloquinte/src/CMakeLists.txt new file mode 100644 index 00000000..3b0bc580 --- /dev/null +++ b/coloquinte/src/CMakeLists.txt @@ -0,0 +1,35 @@ +# -*- explicit-buffer-name: "CMakeLists.txt" -*- + +set ( includes coloquinte/circuit.hxx + coloquinte/circuit_helper.hxx + coloquinte/common.hxx + coloquinte/netlist.hxx + coloquinte/solvers.hxx + coloquinte/rough_legalizers.hxx + coloquinte/legalizer.hxx + coloquinte/detailed.hxx + coloquinte/topologies.hxx + coloquinte/optimization_subproblems.hxx + coloquinte/piecewise_linear.hxx + ) +set ( cpps circuit.cxx + checkers.cxx + rough_legalizers.cxx + solvers.cxx + optimization_subproblems.cxx + piecewise_linear.cxx + orientation.cxx + detailed.cxx + cell_swapping.cxx + MCF_opt.cxx + row_opt.cxx + topologies.cxx + lookup_table.cxx + legalizer.cxx + ) + +add_library ( coloquinte ${cpps} ) + +install( TARGETS coloquinte DESTINATION lib${LIB_SUFFIX} ) +install( FILES ${includes} DESTINATION include/coloquinte ) + diff --git a/coloquinte/src/MCF_opt.cxx b/coloquinte/src/MCF_opt.cxx new file mode 100644 index 00000000..40118721 --- /dev/null +++ b/coloquinte/src/MCF_opt.cxx @@ -0,0 +1,147 @@ + +#include "coloquinte/detailed.hxx" +#include "coloquinte/circuit_helper.hxx" + +#include +#include + +#include + +namespace coloquinte{ +namespace dp{ + +void optimize_on_topology_HPWL(netlist const & circuit, detailed_placement & pl){ + // Solves a minimum cost flow problem to optimize the placement at fixed topology + // Concretely, it means aligning the pins to minimize the wirelength + // It uses the Lemon network simplex solver from the Coin-OR initiative, which should scale well up to hundred of thousands of cells + + using namespace lemon; + DIGRAPH_TYPEDEFS(SmartDigraph); + // Create a graph with the cells and bounds of the nets as node + SmartDigraph g; + + std::vector cell_nodes(circuit.cell_cnt()); + for(index_t i=0; i Lnet_nodes(circuit.net_cnt()), Unet_nodes(circuit.net_cnt()); + for(index_t i=0; i 0){ + Lnet_nodes[i] = g.addNode(); + Unet_nodes[i] = g.addNode(); + } + } + + // Two nodes for position constraints + Node fixed = g.addNode(); + + typedef std::pair arc_pair; + typedef std::pair node_pair; + // The arcs corresponding to constraints of the original problem + std::vector constraint_arcs; + + // Now we add every positional constraint, which becomes an arc in the min-cost flow problem + for(index_t i=0; i net_supplies; + for(index_t n=0; n 0){ + net_supplies.push_back(node_pair(Unet_nodes[n], circuit.get_net(n).weight)); + net_supplies.push_back(node_pair(Lnet_nodes[n], -circuit.get_net(n).weight)); + } + } + + // Create the maps to have cost and capacity for the arcs + IntArcMap cost(g, 0); + IntArcMap capacity(g, circuit.net_cnt()); + IntNodeMap supply(g, 0); + + for(arc_pair A : constraint_arcs){ + cost[A.first] = A.second; + } + + for(node_pair N : net_supplies){ + supply[N.first] = N.second; + } + + // Then we (hope the solver can) solve it + NetworkSimplex ns(g); + ns.supplyMap(supply).costMap(cost); + auto res = ns.run(); + if(res != ns.OPTIMAL){ + abort(); + } + + // And we get the new positions as the dual values of the current solution (compared to the fixed pin) + for(index_t c=0; c const &)> get_nets_cost){ + assert(pl.cell_height(c1) == 1 and pl.cell_height(c2) == 1); + assert( (circuit.get_cell(c1).attributes & XMovable) != 0 and (circuit.get_cell(c1).attributes & YMovable) != 0); + assert( (circuit.get_cell(c2).attributes & XMovable) != 0 and (circuit.get_cell(c2).attributes & YMovable) != 0); + + auto c1_bnds = pl.get_limit_positions(circuit, c1), + c2_bnds = pl.get_limit_positions(circuit, c2); + + // Get the possible positions for a swap + int_t swp_min_c1 = c2_bnds.first, + swp_min_c2 = c1_bnds.first, + swp_max_c1 = c2_bnds.second - circuit.get_cell(c1).size.x_, + swp_max_c2 = c1_bnds.second - circuit.get_cell(c2).size.x_; + + if(swp_max_c1 >= swp_min_c1 and swp_max_c2 >= swp_min_c2){ + // Check both orientations of the cell + + // Get all the nets involved and uniquify them (nets with more than one pin on the cells) + std::vector involved_nets; + for(netlist::pin_t p : circuit.get_cell(c1)){ + involved_nets.push_back(p.net_ind); + } + for(netlist::pin_t p : circuit.get_cell(c2)){ + involved_nets.push_back(p.net_ind); + } + std::sort(involved_nets.begin(), involved_nets.end()); + involved_nets.resize(std::distance(involved_nets.begin(), std::unique(involved_nets.begin(), involved_nets.end()))); + + // Test the cost for the old position and the cost swapping the cells + std::int64_t old_cost = get_nets_cost(circuit, pl, involved_nets); + + // Save the old values + point p1 = pl.plt_.positions_[c1]; + point p2 = pl.plt_.positions_[c2]; + point o1 = pl.plt_.orientations_[c1]; + point o2 = pl.plt_.orientations_[c2]; + + // Warning: won't work if the two cells don't have the same height + pl.plt_.positions_[c1].x_ = (swp_min_c1 + swp_max_c1) / 2; + pl.plt_.positions_[c2].x_ = (swp_min_c2 + swp_max_c2) / 2; + pl.plt_.positions_[c1].y_ = p2.y_; + pl.plt_.positions_[c2].y_ = p1.y_; + + // For standard cell placement, we want all the rows to be aligned in the same way + if( (circuit.get_cell(c1).attributes & YFlippable) != 0 and (circuit.get_cell(c2).attributes & YFlippable) != 0) + std::swap(pl.plt_.orientations_[c1].y_, pl.plt_.orientations_[c2].y_); + + if(try_flip and (circuit.get_cell(c1).attributes & XFlippable) != 0 and (circuit.get_cell(c2).attributes & XFlippable) != 0){ + index_t bst_ind = 4; + for(index_t i=0; i<4; ++i){ + pl.plt_.orientations_[c1].x_ = i % 2; + pl.plt_.orientations_[c2].x_ = i / 2; + std::int64_t new_cost = get_nets_cost(circuit, pl, involved_nets); + if(new_cost < old_cost){ + old_cost = new_cost; + bst_ind = i; + } + } + + // One of the orientations with the new positions was better + if(bst_ind < 4){ + pl.swap_standard_cell_topologies(c1, c2); + pl.plt_.orientations_[c1].x_ = bst_ind % 2; + pl.plt_.orientations_[c2].x_ = bst_ind / 2; + // We kept the swap + return true; + } + else{ + pl.plt_.positions_[c1] = p1; + pl.plt_.positions_[c2] = p2; + pl.plt_.orientations_[c1] = o1; + pl.plt_.orientations_[c2] = o2; + return false; + } + } + else if(get_nets_cost(circuit, pl, involved_nets) < old_cost){ + pl.swap_standard_cell_topologies(c1, c2); + return true; + } + else{ + // Reset the old values since we didn't swap anything + pl.plt_.positions_[c1] = p1; + pl.plt_.positions_[c2] = p2; + pl.plt_.orientations_[c1] = o1; + pl.plt_.orientations_[c2] = o2; + return false; + } + + // A better solution would be + // Check the cost on y depending on the position (extremely simple: two positions for each cell) + // Check the cost on x depending on the position: piecewise linear and relatively complex + // * Get all external pins + // * Get all nets involving only one of the cells: piecewise linear cost for each of them + // * For nets involving the two cells, we have an additional cost + + } + else{ // We just cannot swap those two cells without pushing anything + return false; + } +} + +inline void generic_swaps_global(netlist const & circuit, detailed_placement & pl, index_t row_extent, index_t cell_extent, bool try_flip, +std::function const &)> get_nets_cost){ + for(index_t main_row = 0; main_row < pl.row_cnt(); ++main_row){ + + for(index_t other_row = main_row+1; other_row <= std::min(pl.row_cnt()-1, main_row+row_extent) ; ++other_row){ + + index_t first_oc = pl.get_first_standard_cell_on_row(other_row); // The first candidate cell to be examined + for(index_t c = pl.get_first_standard_cell_on_row(main_row); c != null_ind; c = pl.get_next_standard_cell_on_row(c, main_row)){ + assert(pl.cell_rows_[c] == main_row); + if( (circuit.get_cell(c).attributes & XMovable) == 0) continue; // Don't touch fixed cells + + // Number of cells after/before the end of the cell + index_t nb_after = 0; + index_t nb_before = 0; + int_t pos_low = pl.plt_.positions_[c].x_ - circuit.get_cell(c).size.x_, + pos_hgh = pl.plt_.positions_[c].x_ + 2*circuit.get_cell(c).size.x_; + for(index_t oc=first_oc; oc != null_ind and nb_after <= row_extent; oc = pl.get_next_standard_cell_on_row(oc, other_row)){ + assert(pl.cell_rows_[oc] == other_row); + if( (circuit.get_cell(oc).attributes & XMovable) == 0) continue; // Don't touche fixed cells + + // Count the cells which should trigger stop or shouldn't be used at the next iteration + if(pl.plt_.positions_[oc].x_ >= pos_hgh) ++nb_after; + if(pl.plt_.positions_[oc].x_ + circuit.get_cell(oc).size.x_ <= pos_low) ++ nb_before; + + if(try_swap(circuit, pl, c, oc, try_flip, get_nets_cost)){ + std::swap(c, oc); + if(c == first_oc) first_oc = oc; + } + } + while(nb_before > cell_extent){ + nb_before--; + first_oc = pl.get_next_standard_cell_on_row(first_oc, other_row); + } + } + } + } + pl.selfcheck(); +} + +} // End anonymous namespace + +void swaps_global_HPWL(netlist const & circuit, detailed_placement & pl, index_t row_extent, index_t cell_extent, bool try_flip){ + generic_swaps_global(circuit, pl, row_extent, cell_extent, try_flip, + [](netlist const & circuit, detailed_placement const & pl, std::vector const & involved_nets) -> std::int64_t{ + std::int64_t sum = 0; + for(index_t n : involved_nets){ + if(circuit.get_net(n).pin_cnt <= 1) continue; + sum += get_HPWL_length(circuit, pl.plt_, n); + } + return sum; + }); +} + +void swaps_global_RSMT(netlist const & circuit, detailed_placement & pl, index_t row_extent, index_t cell_extent, bool try_flip){ + generic_swaps_global(circuit, pl, row_extent, cell_extent, try_flip, + [](netlist const & circuit, detailed_placement const & pl, std::vector const & involved_nets) -> std::int64_t{ + std::int64_t sum = 0; + for(index_t n : involved_nets){ + if(circuit.get_net(n).pin_cnt <= 1) continue; + sum += get_RSMT_length(circuit, pl.plt_, n); + } + return sum; + }); +} + +} // namespace dp +} // namespace coloquinte + + + + diff --git a/coloquinte/src/checkers.cxx b/coloquinte/src/checkers.cxx new file mode 100644 index 00000000..effd340a --- /dev/null +++ b/coloquinte/src/checkers.cxx @@ -0,0 +1,96 @@ + +#include "coloquinte/circuit.hxx" + +#include + +namespace coloquinte{ + +void netlist::selfcheck() const{ + index_t cell_cnt = cell_areas_.size(); + assert(cell_cnt+1 == cell_limits_.size()); + assert(cell_cnt == cell_sizes_.size()); + assert(cell_cnt == cell_attributes_.size()); + assert(cell_cnt == cell_internal_mapping_.size()); + + index_t net_cnt = net_weights_.size(); + assert(net_cnt+1 == net_limits_.size()); + assert(net_cnt == net_internal_mapping_.size()); + + index_t pin_cnt = pin_offsets_.size(); + assert(pin_cnt == cell_indexes_.size()); + assert(pin_cnt == pin_indexes_.size()); + assert(pin_cnt == net_indexes_.size()); + + for(auto const p : pin_offsets_){ + assert(std::isfinite(p.x_) and std::isfinite(p.y_)); + } +} + +// For compatibility reasons +void placement_t::selfcheck() const{ +} + +void verify_placement_legality(netlist const & circuit, placement_t const & pl, box surface){ + std::vector > cells; + for(index_t i=0; i(pl.positions_[i], pl.positions_[i] + S)); + + // Verify that they are within the placement surface; doesn't take fixed macros into account + if( (circuit.get_cell(i).attributes & XMovable) != 0 or (circuit.get_cell(i).attributes & YMovable) != 0){ + assert(cells[i].in(surface)); + } + } + + // Simple sweepline algorithm to verify that there is no overlap + struct event{ + int_t x_min, x_max, y; + index_t cell; + bool removal; + bool operator<(event const o) const{ + return y < o.y + or (y == o.y and removal and not o.removal); // Remove before inserting + } + }; + + std::vector all_events; + for(index_t i=0; i b.x_min and e.y != b.y){ + all_events.push_back(b); + all_events.push_back(e); + } + } + + std::sort(all_events.begin(), all_events.end()); + + // Indexed by beginning of interval, with end of interval and cell within + std::map > active_rectangles; + + for(event E : all_events){ + if(E.removal){ + auto it = active_rectangles.find(E.x_min); + assert(it != active_rectangles.end()); + active_rectangles.erase(it); + } + else{ // Find anything that intersects with E; if not, add it + auto it = active_rectangles.lower_bound(E.x_min); // First interval after + if(it != active_rectangles.end()){ + assert(it->first >= E.x_max); //Intersection between E.cell and it->second->second + } + if(it != active_rectangles.begin()){ + --it; + assert(it->second.first <= E.x_min); //Intersection between E.cell and it->second->second + } + active_rectangles.insert(std::pair >(E.x_min, std::pair(E.x_max, E.cell))); + } + } + +} + +} // namespace coloquinte diff --git a/coloquinte/src/circuit.cxx b/coloquinte/src/circuit.cxx new file mode 100644 index 00000000..97a92975 --- /dev/null +++ b/coloquinte/src/circuit.cxx @@ -0,0 +1,407 @@ + +#include "coloquinte/circuit_helper.hxx" +#include "coloquinte/circuit.hxx" + +namespace coloquinte{ + +std::int64_t get_HPWL_length(netlist const & circuit, placement_t const & pl, index_t net_ind){ + if(circuit.get_net(net_ind).pin_cnt <= 1) return 0; + + auto pins = get_pins_1D(circuit, pl, net_ind); + auto minmaxX = std::minmax_element(pins.x_.begin(), pins.x_.end()), minmaxY = std::minmax_element(pins.y_.begin(), pins.y_.end()); + return ((minmaxX.second->pos - minmaxX.first->pos) + (minmaxY.second->pos - minmaxY.first->pos)); +} + +std::int64_t get_RSMT_length(netlist const & circuit, placement_t const & pl, index_t net_ind){ + if(circuit.get_net(net_ind).pin_cnt <= 1) return 0; + auto pins = get_pins_2D(circuit, pl, net_ind); + std::vector > points; + for(pin_2D const p : pins){ + points.push_back(p.pos); + } + return RSMT_length(points, 8); +} + +namespace gp{ + +void add_force(pin_1D const p1, pin_1D const p2, linear_system & L, float_t force){ + if(p1.movable && p2.movable){ + L.add_force( + force, + p1.cell_ind, p2.cell_ind, + p1.offs, p2.offs + ); + } + else if(p1.movable){ + L.add_fixed_force( + force, + p1.cell_ind, + p2.pos, + p1.offs + ); + } + else if(p2.movable){ + L.add_fixed_force( + force, + p2.cell_ind, + p1.pos, + p2.offs + ); + } +} + +void add_force(pin_1D const p1, pin_1D const p2, linear_system & L, float_t tol, float_t scale){ + add_force(p1, p2, L, scale/std::max(tol, static_cast(std::abs(p2.pos-p1.pos)))); +} + +point empty_linear_systems(netlist const & circuit, placement_t const & pl){ + point ret = point(linear_system(circuit.cell_cnt()), linear_system(circuit.cell_cnt())); + + for(index_t i=0; i 1){ + found_true_net = true; + break; + } + } + + if( (XMovable & circuit.get_cell(i).attributes) == 0 or not found_true_net){ + ret.x_.add_triplet(i, i, 1.0f); + ret.x_.add_doublet(i, pl.positions_[i].x_); + } + if( (YMovable & circuit.get_cell(i).attributes) == 0 or not found_true_net){ + ret.y_.add_triplet(i, i, 1.0f); + ret.y_.add_doublet(i, pl.positions_[i].y_); + } + } + + return ret; +} + +namespace{ // Anonymous namespace for helper functions + +void get_HPWLF(std::vector const & pins, linear_system & L, float_t tol){ + if(pins.size() >= 2){ + auto min_elt = std::min_element(pins.begin(), pins.end()), max_elt = std::max_element(pins.begin(), pins.end()); + + for(auto it = pins.begin(); it != pins.end(); ++it){ + // Just comparing the iterator is poorer due to redundancies in the benchmarks! + if(it != min_elt){ + add_force(*it, *min_elt, L, tol, 1.0f/(pins.size()-1)); + if(it != max_elt){ // Hopefully only one connexion between the min and max pins + add_force(*it, *max_elt, L, tol, 1.0f/(pins.size()-1)); + } + } + } + } +} + +void get_HPWLR(std::vector const & pins, linear_system & L, float_t tol){ + std::vector sorted_pins = pins; + std::sort(sorted_pins.begin(), sorted_pins.end()); + // Pins are connected to the pin two places away + for(index_t i=0; i+2 1){ + add_force(sorted_pins[0], sorted_pins[1], L, tol, 0.5f); + add_force(sorted_pins[sorted_pins.size()-1], sorted_pins[sorted_pins.size()-2], L, tol, 0.5f); + } +} + +void get_star(std::vector const & pins, linear_system & L, float_t tol, index_t star_index){ + // The net is empty, but we still populate the diagonal to avoid divide by zeros + if(pins.size() < 2){ + L.add_triplet(star_index, star_index, 1.0f); + return; + } + + for(pin_1D p : pins){ + pin_1D star_pin = pin_1D(star_index, 0, 0, true); + add_force(p, star_pin, L, 1.0/pins.size()); + } +} + +void get_clique(std::vector const & pins, linear_system & L, float_t tol){ + // Pins are connected to the pin two places away + for(index_t i=0; i+1 get_HPWLF_linear_system (netlist const & circuit, placement_t const & pl, float_t tol, index_t min_s, index_t max_s){ + point L = empty_linear_systems(circuit, pl); + for(index_t i=0; i= max_s) continue; + + auto pins = get_pins_1D(circuit, pl, i); + get_HPWLF(pins.x_, L.x_, tol); + get_HPWLF(pins.y_, L.y_, tol); + } + return L; +} + +point get_HPWLR_linear_system (netlist const & circuit, placement_t const & pl, float_t tol, index_t min_s, index_t max_s){ + point L = empty_linear_systems(circuit, pl); + for(index_t i=0; i= max_s) continue; + + auto pins = get_pins_1D(circuit, pl, i); + get_HPWLR(pins.x_, L.x_, tol); + get_HPWLR(pins.y_, L.y_, tol); + } + return L; +} + +point get_star_linear_system (netlist const & circuit, placement_t const & pl, float_t tol, index_t min_s, index_t max_s){ + point L = empty_linear_systems(circuit, pl); + L.x_.add_variables(circuit.net_cnt()); + L.y_.add_variables(circuit.net_cnt()); + for(index_t i=0; i= max_s){ + // Put a one in the intermediate variable in order to avoid non-invertible matrices + L.x_.add_triplet(i+circuit.cell_cnt(), i+circuit.cell_cnt(), 1.0f); + L.y_.add_triplet(i+circuit.cell_cnt(), i+circuit.cell_cnt(), 1.0f); + continue; + } + + auto pins = get_pins_1D(circuit, pl, i); + // Provide the index of the star's central pin in the linear system + get_star(pins.x_, L.x_, tol, i+circuit.cell_cnt()); + get_star(pins.y_, L.y_, tol, i+circuit.cell_cnt()); + } + return L; +} + +point get_clique_linear_system (netlist const & circuit, placement_t const & pl, float_t tol, index_t min_s, index_t max_s){ + point L = empty_linear_systems(circuit, pl); + for(index_t i=0; i= max_s) continue; + + auto pins = get_pins_1D(circuit, pl, i); + get_clique(pins.x_, L.x_, tol); + get_clique(pins.y_, L.y_, tol); + } + return L; +} + +point get_MST_linear_system(netlist const & circuit, placement_t const & pl, float_t tol, index_t min_s, index_t max_s){ + point L = empty_linear_systems(circuit, pl); + for(index_t i=0; i= max_s or pin_cnt <= 1) continue; + + auto pins = get_pins_2D(circuit, pl, i); + std::vector > points; + for(pin_2D const p : pins){ + points.push_back(p.pos); + } + auto const edges = get_MST_topology(points); + for(auto E : edges){ + add_force(pins[E.first].x(), pins[E.second].x(), L.x_, tol, 1.0f); + add_force(pins[E.first].y(), pins[E.second].y(), L.y_, tol, 1.0f); + } + } + return L; +} + +point get_RSMT_linear_system(netlist const & circuit, placement_t const & pl, float_t tol, index_t min_s, index_t max_s){ + point L = empty_linear_systems(circuit, pl); + for(index_t i=0; i= max_s or pin_cnt <= 1) continue; + + auto pins = get_pins_2D(circuit, pl, i); + std::vector > points; + for(pin_2D const p : pins){ + points.push_back(p.pos); + } + auto const edges = get_RSMT_topology(points, 8); + for(auto E : edges.x_){ + add_force(pins[E.first].x(), pins[E.second].x(), L.x_, tol, 1.0f); + } + for(auto E : edges.y_){ + add_force(pins[E.first].y(), pins[E.second].y(), L.y_, tol, 1.0f); + } + } + return L; +} + + +std::int64_t get_HPWL_wirelength(netlist const & circuit, placement_t const & pl){ + std::int64_t sum = 0; + for(index_t i=0; i > points; + for(pin_2D const p : pins){ + points.push_back(p.pos); + } + sum += MST_length(points); + } + return sum; +} + +std::int64_t get_RSMT_wirelength(netlist const & circuit, placement_t const & pl){ + std::int64_t sum = 0; + for(index_t i=0; i & L, index_t nbr_iter){ + std::vector x_sol, y_sol; + std::vector x_guess(pl.cell_cnt()), y_guess(pl.cell_cnt()); + + assert(L.x_.internal_size() == x_guess.size()); + assert(L.y_.internal_size() == y_guess.size()); + + for(index_t i=0; i(pl.positions_[i].x_); + y_guess[i] = static_cast(pl.positions_[i].y_); + } + #pragma omp parallel sections num_threads(2) + { + #pragma omp section + x_sol = L.x_.solve_CG(x_guess, nbr_iter); + #pragma omp section + y_sol = L.y_.solve_CG(y_guess, nbr_iter); + } + for(index_t i=0; i(x_sol[i]); + } + if( (circuit.get_cell(i).attributes & YMovable) != 0){ + assert(std::isfinite(y_sol[i])); + pl.positions_[i].y_ = static_cast(y_sol[i]); + } + } +} + +// Intended to be used by pulling forces to adapt the forces to the cell's areas +std::vector get_area_scales(netlist const & circuit){ + std::vector ret(circuit.cell_cnt()); + capacity_t int_tot_area = 0; + for(index_t i=0; i(A); + int_tot_area += A; + } + float_t inv_average_area = circuit.cell_cnt() / static_cast(int_tot_area); + for(index_t i=0; i get_pulling_forces (netlist const & circuit, placement_t const & pl, float_t typical_distance){ + point L = empty_linear_systems(circuit, pl); + float_t typical_force = 1.0f / typical_distance; + std::vector scaling = get_area_scales(circuit); + for(index_t i=0; i get_linear_pulling_forces (netlist const & circuit, placement_t const & UB_pl, placement_t const & LB_pl, float_t force, float_t min_distance){ + point L = empty_linear_systems(circuit, UB_pl); + assert(LB_pl.cell_cnt() == UB_pl.cell_cnt()); + std::vector scaling = get_area_scales(circuit); + for(index_t i=0; i(std::abs(UB_pl.positions_[i].x_ - LB_pl.positions_[i].x_)), min_distance)), + i, UB_pl.positions_[i].x_ + ); + L.y_.add_anchor( + force * scaling[i] / (std::max(static_cast(std::abs(UB_pl.positions_[i].y_ - LB_pl.positions_[i].y_)), min_distance)), + i, UB_pl.positions_[i].y_ + ); + } + + + return L; +} + +region_distribution get_rough_legalizer(netlist const & circuit, placement_t const & pl, box surface){ + return region_distribution::uniform_density_distribution(surface, circuit, pl); +} + +void get_rough_legalization(netlist const & circuit, placement_t & pl, region_distribution const & legalizer){ + auto exportation = legalizer.export_spread_positions_linear(); + for(auto const C : exportation){ + pl.positions_[C.index_in_placement_] = static_cast >(C.pos_ - 0.5f * static_cast >(circuit.get_cell(C.index_in_placement_).size)); + } +} + +float_t get_mean_linear_disruption(netlist const & circuit, placement_t const & LB_pl, placement_t const & UB_pl){ + float_t tot_cost = 0.0; + float_t tot_area = 0.0; + for(index_t i=0; i(circuit.get_cell(i).area); + point diff = LB_pl.positions_[i] - UB_pl.positions_[i]; + + if( (circuit.get_cell(i).attributes & XMovable) == 0) assert(diff.x_ == 0); + if( (circuit.get_cell(i).attributes & YMovable) == 0) assert(diff.y_ == 0); + + tot_cost += area * (std::abs(diff.x_) + std::abs(diff.y_)); + tot_area += area; + } + return tot_cost / tot_area; +} + +float_t get_mean_quadratic_disruption(netlist const & circuit, placement_t const & LB_pl, placement_t const & UB_pl){ + float_t tot_cost = 0.0; + float_t tot_area = 0.0; + for(index_t i=0; i(circuit.get_cell(i).area); + point diff = LB_pl.positions_[i] - UB_pl.positions_[i]; + + if( (circuit.get_cell(i).attributes & XMovable) == 0) assert(diff.x_ == 0); + if( (circuit.get_cell(i).attributes & YMovable) == 0) assert(diff.y_ == 0); + + float_t manhattan = (std::abs(diff.x_) + std::abs(diff.y_)); + tot_cost += area * manhattan * manhattan; + tot_area += area; + } + return std::sqrt(tot_cost / tot_area); +} + +} // namespace gp +} // namespace coloquinte + + diff --git a/coloquinte/src/coloquinte/circuit.hxx b/coloquinte/src/coloquinte/circuit.hxx new file mode 100644 index 00000000..4ce1c781 --- /dev/null +++ b/coloquinte/src/coloquinte/circuit.hxx @@ -0,0 +1,59 @@ + +#ifndef COLOQUINTE_GP_CIRCUIT +#define COLOQUINTE_GP_CIRCUIT + +#include "common.hxx" +#include "solvers.hxx" +#include "netlist.hxx" +#include "rough_legalizers.hxx" + +#include +#include + +namespace coloquinte{ + +void verify_placement_legality(netlist const & circuit, placement_t const & pl, box surface); + +namespace gp{ + +point empty_linear_systems(netlist const & circuit, placement_t const & pl); + +// Net models stuff +point get_HPWLF_linear_system (netlist const & circuit, placement_t const & pl, float_t tol, index_t min_s, index_t max_s); +point get_HPWLR_linear_system (netlist const & circuit, placement_t const & pl, float_t tol, index_t min_s, index_t max_s); +point get_star_linear_system (netlist const & circuit, placement_t const & pl, float_t tol, index_t min_s, index_t max_s); +point get_clique_linear_system (netlist const & circuit, placement_t const & pl, float_t tol, index_t min_s, index_t max_s); +point get_MST_linear_system (netlist const & circuit, placement_t const & pl, float_t tol, index_t min_s, index_t max_s); +point get_RSMT_linear_system (netlist const & circuit, placement_t const & pl, float_t tol, index_t min_s, index_t max_s); + +// Additional forces +point get_pulling_forces (netlist const & circuit, placement_t const & pl, float_t typical_distance); +point get_linear_pulling_forces (netlist const & circuit, placement_t const & UB_pl, placement_t const & LB_pl, float_t force, float_t min_distance); + +// Solve the final linear system +void solve_linear_system(netlist const & circuit, placement_t & pl, point & L, index_t nbr_iter); + +// Cost-related stuff, whether wirelength or disruption +std::int64_t get_HPWL_wirelength (netlist const & circuit, placement_t const & pl); +std::int64_t get_MST_wirelength (netlist const & circuit, placement_t const & pl); +std::int64_t get_RSMT_wirelength (netlist const & circuit, placement_t const & pl); + +float_t get_mean_linear_disruption(netlist const & circuit, placement_t const & LB_pl, placement_t const & UB_pl); +float_t get_mean_quadratic_disruption(netlist const & circuit, placement_t const & LB_pl, placement_t const & UB_pl); + +// Legalizer-related stuff +region_distribution get_rough_legalizer(netlist const & circuit, placement_t const & pl, box surface); +void get_rough_legalization(netlist const & circuit, placement_t & pl, region_distribution const & legalizer); + +// Cell orientation optimization +void optimize_x_orientations(netlist const & circuit, placement_t & pl); +void optimize_y_orientations(netlist const & circuit, placement_t & pl); +void optimize_exact_orientations(netlist const & circuit, placement_t & pl); +//void spread_orientations(netlist const & circuit, placement_t & pl); + + +} // namespace gp +} // namespace coloquinte + +#endif + diff --git a/coloquinte/src/coloquinte/circuit_helper.hxx b/coloquinte/src/coloquinte/circuit_helper.hxx new file mode 100644 index 00000000..e19994c6 --- /dev/null +++ b/coloquinte/src/coloquinte/circuit_helper.hxx @@ -0,0 +1,90 @@ + +#ifndef COLOQUINTE_GP_HELPERCIRCUIT +#define COLOQUINTE_GP_HELPERCIRCUIT + +#include "common.hxx" +#include "netlist.hxx" + +namespace coloquinte{ + +struct pin_1D{ + index_t cell_ind; + int_t pos; + int_t offs; + bool movable; + + bool operator<(pin_1D const o) const { return pos < o.pos; } + + pin_1D(index_t c, int_t p, int_t o, bool m) : cell_ind(c), pos(p), offs(o), movable(m){} +}; +struct pin_2D{ + index_t cell_ind; + point pos; + point offs; + bool movable; + + pin_2D(index_t c, point p, point o, bool m) : cell_ind(c), pos(p), offs(o), movable(m){} + pin_1D x() const{ return pin_1D(cell_ind, pos.x_, offs.x_, movable); } + pin_1D y() const{ return pin_1D(cell_ind, pos.y_, offs.y_, movable); } +}; + +inline int_t dist(pin_2D const a, pin_2D const b){ + point diff = a.pos - b.pos; + return std::abs(diff.x_) + std::abs(diff.y_); +} + +inline std::vector get_pins_2D(netlist const & circuit, placement_t const & pl, index_t net_ind){ + std::vector ret; + for(auto p : circuit.get_net(net_ind)){ + assert(std::isfinite(pl.positions_[p.cell_ind].x_) and std::isfinite(pl.positions_[p.cell_ind].y_)); + assert(std::isfinite(pl.orientations_[p.cell_ind].x_) and std::isfinite(pl.orientations_[p.cell_ind].y_)); + + point offs; + offs.x_ = pl.orientations_[p.cell_ind].x_ ? p.offset.x_ : circuit.get_cell(p.cell_ind).size.x_ - p.offset.x_; + offs.y_ = pl.orientations_[p.cell_ind].y_ ? p.offset.y_ : circuit.get_cell(p.cell_ind).size.y_ - p.offset.y_; + point pos = offs + pl.positions_[p.cell_ind]; + + assert(std::isfinite(offs.x_) and std::isfinite(offs.y_)); + assert(std::isfinite(pos.x_) and std::isfinite(pos.y_)); + + bool movable = (circuit.get_cell(p.cell_ind).attributes & XMovable) != 0 and (circuit.get_cell(p.cell_ind).attributes & YMovable) != 0; + ret.push_back(pin_2D(p.cell_ind, pos, offs, movable)); + } + return ret; +} + +inline point > get_pins_1D(netlist const & circuit, placement_t const & pl, index_t net_ind){ + point > ret; + for(auto p : circuit.get_net(net_ind)){ + assert(std::isfinite(pl.positions_[p.cell_ind].x_) and std::isfinite(pl.positions_[p.cell_ind].y_)); + assert(std::isfinite(pl.orientations_[p.cell_ind].x_) and std::isfinite(pl.orientations_[p.cell_ind].y_)); + + point offs; + offs.x_ = pl.orientations_[p.cell_ind].x_ ? p.offset.x_ : circuit.get_cell(p.cell_ind).size.x_ - p.offset.x_; + offs.y_ = pl.orientations_[p.cell_ind].y_ ? p.offset.y_ : circuit.get_cell(p.cell_ind).size.y_ - p.offset.y_; + point pos = offs + pl.positions_[p.cell_ind]; + + assert(std::isfinite(offs.x_) and std::isfinite(offs.y_)); + assert(std::isfinite(pos.x_) and std::isfinite(pos.y_)); + + bool x_movable = (circuit.get_cell(p.cell_ind).attributes & XMovable) != 0; + bool y_movable = (circuit.get_cell(p.cell_ind).attributes & YMovable) != 0; + + ret.x_.push_back(pin_1D(p.cell_ind, pos.x_, offs.x_, x_movable)); + ret.y_.push_back(pin_1D(p.cell_ind, pos.y_, offs.y_, y_movable)); + } + return ret; +} + +std::int64_t MST_length(std::vector > const & pins); +std::int64_t RSMT_length(std::vector > const & pins, index_t exactitude_limit); +std::int64_t get_HPWL_length(netlist const & circuit, placement_t const & pl, index_t net_ind); +std::int64_t get_RSMT_length(netlist const & circuit, placement_t const & pl, index_t net_ind); + +std::vector > get_MST_topology(std::vector > const & pins); +point > > get_RSMT_topology(std::vector > const & pins, index_t exactitude_limit); + +} // namespace coloquinte + +#endif + diff --git a/coloquinte/src/coloquinte/common.hxx b/coloquinte/src/coloquinte/common.hxx new file mode 100644 index 00000000..a5ce9497 --- /dev/null +++ b/coloquinte/src/coloquinte/common.hxx @@ -0,0 +1,110 @@ + +#ifndef COLOQUINTE_GP_COMMON +#define COLOQUINTE_GP_COMMON + +#include +#include + +namespace coloquinte{ + +using float_t = float; +using int_t = std::int32_t; +using index_t = std::uint32_t; +using capacity_t = std::int64_t; +using mask_t = std::uint32_t; + +using ext_object = std::uint64_t; + +enum PlacementType{ + Optimist = 0, + Pessimist = 1 +}; + +enum Movability{ + XMovable = 1 , + YMovable = 1 << 1, + XFlippable = 1 << 2, + YFlippable = 1 << 3, + SoftMacro = 1 << 4 +}; + +template +struct point{ + T x_, y_; + point(){} + point(T x, T y): x_(x), y_(y){} + + template + operator point() const{ + return point(static_cast(x_), static_cast(y_)); + } + + void operator+=(point const o){ + x_ += o.x_; + y_ += o.y_; + } +}; + +template +point operator+(point const a, point const b){ + return point(a.x_+b.x_, a.y_+b.y_); +} +template +point operator-(point const a, point const b){ + return point(a.x_-b.x_, a.y_-b.y_); +} +template +point operator*(T lambda, point const p){ + return point(lambda * p.x_, lambda * p.y_); +} +template +point operator*(point const a, point const b){ + return point(a.x_*b.x_, a.y_*b.y_); +} + +template +struct box{ + T x_min_, x_max_, y_min_, y_max_; + box(){} + box(T x_mn, T x_mx, T y_mn, T y_mx) : x_min_(x_mn), x_max_(x_mx), y_min_(y_mn), y_max_(y_mx){} + box(point mn, point mx) : x_min_(mn.x_), x_max_(mx.x_), y_min_(mn.y_), y_max_(mx.y_){} + + bool in(box const o) const{ + return x_max_ <= o.x_max_ + && y_max_ <= o.y_max_ + && x_min_ >= o.x_min_ + && y_min_ >= o.y_min_; + } + bool intersects(box const o) const{ + return x_min_ < o.x_max_ + && y_min_ < o.y_max_ + && o.x_min_ < x_max_ + && o.y_min_ < y_max_; + } + box intersection(box const o) const{ + return box( + std::max(x_min_, o.x_min_), + std::min(x_max_, o.x_max_), + std::max(y_min_, o.y_min_), + std::min(y_max_, o.y_max_) + ); + } + point dimensions() const{ + return point(x_max_-x_min_, y_max_-y_min_); + } + bool empty() const{ + return dimensions().x_ <= 0 or dimensions().y_ <= 0; + } + + template + operator box() const{ + return box(static_cast(x_min_), static_cast(x_max_), static_cast(y_min_), static_cast(y_max_)); + } +}; + +using orientation_t = point; + +} // Namespace coloquinte + +#endif + diff --git a/coloquinte/src/coloquinte/detailed.hxx b/coloquinte/src/coloquinte/detailed.hxx new file mode 100644 index 00000000..2b53fb6c --- /dev/null +++ b/coloquinte/src/coloquinte/detailed.hxx @@ -0,0 +1,91 @@ + +#ifndef COLOQUINTE_DETAILED +#define COLOQUINTE_DETAILED + +#include "common.hxx" +#include "netlist.hxx" + +#include +#include + +namespace coloquinte{ +namespace dp{ + +const index_t null_ind = std::numeric_limits::max(); + +struct detailed_placement{ + // All position and orientation stuff + placement_t plt_; + + std::vector cell_rows_; + + // The placement region + int_t min_x_, max_x_; + int_t y_origin_; + int_t row_height_; + + // Encode the topological state of the circuit: which cells are near each other + // Makes extracting part of the circuit or optimizing positions at fixed topology easy + std::vector > neighbours_; // The cells before and after on each row; cells spanning multiple columns use several positions + // In order to get the neighbours in the detailed placement + std::vector neighbours_limits_; + + std::vector row_first_cells_, row_last_cells_; // For each row, which cells are the on the boundaries + + // Tests the coherency between positions, widths and topological representation + void selfcheck() const; + + detailed_placement( + placement_t pl, + std::vector placement_rows, + std::vector cell_heights, + std::vector > rows, + int_t min_x, int_t max_x, + int_t y_origin, + index_t nbr_rows, int_t row_height + ); + + index_t cell_height(index_t c) const{ return neighbours_limits_[c+1] - neighbours_limits_[c]; } + index_t cell_cnt() const{ return cell_rows_.size(); } + index_t row_cnt() const{ return row_first_cells_.size(); } + index_t neighbour_index(index_t c, index_t r) const{ + assert(r - cell_rows_[c] < cell_height(c)); + return neighbours_limits_[c] + r - cell_rows_[c]; + } + + void swap_standard_cell_topologies(index_t c1, index_t c2); + std::pair get_limit_positions(netlist const & circuit, index_t c) const; + + index_t get_first_cell_on_row(index_t r); + index_t get_next_cell_on_row(index_t c, index_t r); + index_t get_prev_cell_on_row(index_t c, index_t r); + + index_t get_first_standard_cell_on_row(index_t r); + index_t get_next_standard_cell_on_row(index_t c, index_t r); + + void reorder_standard_cells(std::vector const old_order, std::vector const new_order); + void reorder_cells(std::vector const old_order, std::vector const new_order, index_t row); +}; + +void swaps_global_HPWL(netlist const & circuit, detailed_placement & pl, index_t row_extent, index_t cell_extent, bool try_flip = false); +void swaps_global_RSMT(netlist const & circuit, detailed_placement & pl, index_t row_extent, index_t cell_extent, bool try_flip = false); + +void swaps_row_convex_HPWL(netlist const & circuit, detailed_placement & pl, index_t range); +void swaps_row_convex_RSMT(netlist const & circuit, detailed_placement & pl, index_t range); +void swaps_row_noncvx_HPWL(netlist const & circuit, detailed_placement & pl, index_t range); +void swaps_row_noncvx_RSMT(netlist const & circuit, detailed_placement & pl, index_t range); + +void OSRP_convex_HPWL(netlist const & circuit, detailed_placement & pl); +void OSRP_convex_RSMT(netlist const & circuit, detailed_placement & pl); +void OSRP_noncvx_HPWL(netlist const & circuit, detailed_placement & pl); +void OSRP_noncvx_RSMT(netlist const & circuit, detailed_placement & pl); + +void optimize_on_topology_HPWL(netlist const & circuit, detailed_placement & pl); + +void row_compatible_orientation(netlist const & circuit, detailed_placement & pl, bool first_row_orient); + +} // namespace dp +} // namespace coloquinte + +#endif + diff --git a/coloquinte/src/coloquinte/legalizer.hxx b/coloquinte/src/coloquinte/legalizer.hxx new file mode 100644 index 00000000..d0848836 --- /dev/null +++ b/coloquinte/src/coloquinte/legalizer.hxx @@ -0,0 +1,12 @@ + +#include "circuit.hxx" +#include "detailed.hxx" + +namespace coloquinte{ +namespace dp{ + +detailed_placement legalize(netlist const & circuit, placement_t const & pl, box surface, int_t row_height); +void get_result(netlist const & circuit, detailed_placement const & dpl, placement_t & pl); + +} // namespace dp +} // namespace coloquinte diff --git a/coloquinte/src/coloquinte/netlist.hxx b/coloquinte/src/coloquinte/netlist.hxx new file mode 100644 index 00000000..ac45e761 --- /dev/null +++ b/coloquinte/src/coloquinte/netlist.hxx @@ -0,0 +1,244 @@ + +#ifndef COLOQUINTE_NETLIST +#define COLOQUINTE_NETLIST + +#include "common.hxx" +#include +#include + + +namespace coloquinte{ + +// Structures for construction and circuit_loader +struct temporary_pin{ + point offset; + index_t cell_ind, net_ind; + temporary_pin(){} + temporary_pin(point offs, index_t c, index_t n) : offset(offs), cell_ind(c), net_ind(n){} +}; + +struct temporary_cell{ + point size; + capacity_t area; + mask_t attributes; + index_t list_index; + + temporary_cell(){} + temporary_cell(point s, mask_t attr, index_t ind) : size(s), attributes(attr), list_index(ind){ area = static_cast(s.x_) * static_cast(s.y_);} +}; + +struct temporary_net{ + int_t weight; + index_t list_index; + temporary_net(){} + temporary_net(index_t ind, int_t wght) : weight(wght), list_index(ind){} +}; + + +// Main class +class netlist{ + std::vector net_weights_; + + std::vector cell_areas_; + std::vector > cell_sizes_; + std::vector cell_attributes_; + + // Mapping of the order given at construction time to the internal representation + std::vector cell_internal_mapping_; + std::vector net_internal_mapping_; + + // Optimized sparse storage for nets + std::vector net_limits_; + std::vector cell_indexes_; + std::vector > pin_offsets_; + + // Sparse storage from cell to net appartenance + std::vector cell_limits_; + std::vector net_indexes_; + std::vector pin_indexes_; + + public: + netlist(std::vector cells, std::vector nets, std::vector all_pins); + netlist(){} + + void selfcheck() const; + + struct pin_t{ + point offset; + index_t cell_ind, net_ind; + pin_t(point offs, index_t c, index_t n) : offset(offs), cell_ind(c), net_ind(n){} + }; + + class net_pin_iterator{ + index_t pin_ind, net_ind; + netlist const & N; + + public: + pin_t operator*() const{ + return pin_t(N.pin_offsets_[pin_ind], N.cell_indexes_[pin_ind], net_ind); + } + net_pin_iterator & operator++(){ + pin_ind++; + return *this; + } + bool operator!=(net_pin_iterator const o) const{ + return pin_ind != o.pin_ind; + } + + net_pin_iterator(index_t net_index, index_t pin_index, netlist const & orig) : pin_ind(pin_index), net_ind(net_index), N(orig){} + }; + + class cell_pin_iterator{ + index_t pin_ind, cell_ind; + netlist const & N; + + public: + pin_t operator*() const{ + return pin_t(N.pin_offsets_[N.pin_indexes_[pin_ind]], cell_ind, N.net_indexes_[pin_ind]); + } + cell_pin_iterator & operator++(){ + pin_ind++; + return *this; + } + bool operator!=(cell_pin_iterator const o) const{ + return pin_ind != o.pin_ind; + } + + cell_pin_iterator(index_t cell_index, index_t pin_index, netlist const & orig) : pin_ind(pin_index), cell_ind(cell_index), N(orig){} + }; + + struct internal_cell{ + point size; + capacity_t area; + mask_t attributes; + netlist const & N; + index_t index; + index_t pin_cnt; + + internal_cell(index_t ind, netlist const & orig) : + size(orig.cell_sizes_[ind]), + area(orig.cell_areas_[ind]), + attributes(orig.cell_attributes_[ind]), + N(orig), + index(ind), + pin_cnt(N.cell_limits_[ind+1] - N.cell_limits_[ind]) + {} + + cell_pin_iterator begin(){ return cell_pin_iterator(index, N.cell_limits_[index], N); } + cell_pin_iterator end(){ return cell_pin_iterator(index, N.cell_limits_[index+1], N); } + }; + + struct internal_net{ + int_t weight; + netlist const & N; + index_t index; + index_t pin_cnt; + + internal_net(index_t ind, netlist const & orig) : + weight(orig.net_weights_[ind]), + N(orig), + index(ind), + pin_cnt(N.net_limits_[ind+1] - N.net_limits_[ind]) + {} + + net_pin_iterator begin(){ return net_pin_iterator(index, N.net_limits_[index], N); } + net_pin_iterator end(){ return net_pin_iterator(index, N.net_limits_[index+1], N); } + }; + + internal_cell get_cell(index_t ind) const{ + return internal_cell(ind, *this); + } + internal_net get_net(index_t ind) const{ + return internal_net(ind, *this); + } + + index_t cell_cnt() const{ return cell_internal_mapping_.size(); } + index_t net_cnt() const{ return net_internal_mapping_.size(); } + index_t pin_cnt() const{ return pin_offsets_.size(); } + + index_t get_cell_ind(index_t external_ind) const{ return cell_internal_mapping_[external_ind]; } + index_t get_net_ind(index_t external_ind) const{ return net_internal_mapping_[external_ind]; } + +}; + +inline netlist::netlist(std::vector cells, std::vector nets, std::vector all_pins){ + struct extended_pin : public temporary_pin{ + index_t pin_index; + extended_pin(temporary_pin const p) : temporary_pin(p){} + }; + std::vector pins; + for(temporary_pin const p : all_pins){ + pins.push_back(extended_pin(p)); + } + + cell_limits_.resize(cells.size()+1); + net_limits_.resize(nets.size()+1); + + net_weights_.resize(nets.size()); + + cell_areas_.resize(cells.size()); + cell_sizes_.resize(cells.size()); + cell_attributes_.resize(cells.size()); + + cell_internal_mapping_.resize(cells.size()); + net_internal_mapping_.resize(nets.size()); + + cell_indexes_.resize(pins.size()); + pin_offsets_.resize(pins.size()); + net_indexes_.resize(pins.size()); + pin_indexes_.resize(pins.size()); + + for(index_t i=0; i > positions_; + std::vector > orientations_; + + index_t cell_cnt() const{ + assert(positions_.size() == orientations_.size()); + return positions_.size(); + } + + void selfcheck() const; +}; + +} // namespace coloquinte + +#endif + diff --git a/coloquinte/src/coloquinte/optimization_subproblems.hxx b/coloquinte/src/coloquinte/optimization_subproblems.hxx new file mode 100644 index 00000000..8c9ff465 --- /dev/null +++ b/coloquinte/src/coloquinte/optimization_subproblems.hxx @@ -0,0 +1,158 @@ + +#ifndef COLOQUINTE_GP_OPTSUBPROBLEMS +#define COLOQUINTE_GP_OPTSUBPROBLEMS + +#include "common.hxx" + +#include +#include +#include + +namespace coloquinte{ + +typedef std::pair t1D_elt; + +std::vector transport_1D(std::vector sources, std::vector sinks); +std::vector > transport_convex(std::vector const & capacities, std::vector const & demands, std::vector > const & costs); +std::vector > transport_generic(std::vector const & capacities, std::vector const & demands, std::vector > const & costs); + +template +struct legalizable_task{ + T width; + T target_pos; + index_t ind; + legalizable_task(T w, T p, index_t i) : width(w), target_pos(p), ind(i){} + bool operator<(legalizable_task const o) const{ return target_pos < o.target_pos; } +}; + +// A class to obtain the optimal positions minimizing total weighted displacement along a row +// It is an ordered single row problem/fixed order single machine scheduling problem, solved by the clumping/specialized cascading descent algorithm +// The cost is linear in the distance to the target position, weighted by the width of the cells +template +class OSRP_leg{ + struct OSRP_bound{ + T absolute_pos; // Will be the target absolute position of the cell + T weight; // Will be the width of the cell + + bool operator<(OSRP_bound const o) const{ return absolute_pos < o.absolute_pos; } + OSRP_bound(T w, T abs_pos) : absolute_pos(abs_pos), weight(w) {} + }; + + T begin, end; + + std::vector cells; // The indexes in the circuit + std::vector constraining_pos; // Where the cells have been pushed and constrain the positions of preceding cells + std::vector prev_width; // Cumulative width of the cells: calculates the absolute position of new cells + + std::priority_queue bounds; + + // Get the cost of pushing a cell on the row + T get_displacement(legalizable_task const newly_pushed, bool update); + + public: + T current_width() const{ return prev_width.back(); } + T remaining_space() const{ return end - begin - current_width(); } + T last_available_pos() const{ return constraining_pos.back() + current_width(); } + + T get_cost(legalizable_task const task){ return get_displacement(task, false); } + void push(legalizable_task const task){ get_displacement(task, true); } + + // Initialize + OSRP_leg(T b, T e) : begin(b), end(e), prev_width(1, 0) {} + OSRP_leg(){} + + typedef std::pair result_t; + + // Get the resulting placement + std::vector get_placement() const; +}; + +struct cell_bound{ + index_t c; + int_t pos; + int_t slope; + bool operator<(cell_bound const o) const{ return c < o.c; } + cell_bound(index_t order, int_t p, int_t s) : c(order), pos(p), slope(s) {} +}; + +bool place_convex_single_row(std::vector const & widths, std::vector > const & ranges, std::vector bounds, std::vector const & const_slopes, std::vector & positions); +bool place_noncvx_single_row(std::vector const & widths, std::vector > const & ranges, std::vector const & flippables, std::vector bounds, std::vector const & const_slopes, std::vector & positions, std::vector & flippings); + +template +inline T OSRP_leg::get_displacement(legalizable_task const newly_pushed, bool update){ + T target_abs_pos = newly_pushed.target_pos - current_width(); + T width = newly_pushed.width; + T slope = - width; + + T cur_pos = end; + T cur_cost = 0; + + std::vector passed_bounds; + + while( not bounds.empty() and + ((slope < 0 and bounds.top().absolute_pos > target_abs_pos) // Not reached equilibrium + or bounds.top().absolute_pos > end - current_width() - width) // Still not a legal position + ){ + T old_pos = cur_pos; + cur_pos = bounds.top().absolute_pos; + cur_cost += (old_pos - cur_pos) * (slope + width); // The additional cost for the other cells encountered + slope += bounds.top().weight; + + // Remember which bounds we encountered in order to reset the object to its initial state + if(not update) + passed_bounds.push_back(bounds.top()); + bounds.pop(); + } + + T final_abs_pos = std::min(end - current_width() - width, // Always before the end and after the beginning + std::max(begin, slope >= 0 ? cur_pos : target_abs_pos) // but did we stop before reaching the target position? + ); + + cur_cost += (cur_pos - final_abs_pos) * (slope + width); // The additional cost for the other cells encountered + + if(std::numeric_limits::is_integer){ + assert(final_abs_pos >= begin); + assert(final_abs_pos <= end - current_width() - width); + } + + if(update){ + prev_width.push_back(width + current_width()); + cells.push_back(newly_pushed.ind); + constraining_pos.push_back(final_abs_pos); + if(slope > 0){ // Remaining capacity of an encountered bound + bounds.push(OSRP_bound(slope, cur_pos)); + } + // The new bound, minus what it absorbs of the remaining slope + if(target_abs_pos > begin){ + bounds.push(OSRP_bound(2*width + std::min(slope, static_cast(0) ), target_abs_pos)); + } + } + else{ + for(OSRP_bound b : passed_bounds){ + bounds.push(b); + } + } + + return cur_cost + width * std::abs(final_abs_pos - target_abs_pos); // Add the cost of the new cell +} + +template +inline std::vector > OSRP_leg::get_placement() const{ + auto final_abs_pos = constraining_pos; + std::partial_sum(final_abs_pos.rbegin(), final_abs_pos.rend(), final_abs_pos.rbegin(), [](T a, T b)->T{ return std::min(a,b); }); + + std::vector ret(cells.size()); + for(index_t i=0; i::is_integer){ + assert(final_abs_pos[i] >= begin); + assert(final_abs_pos[i] + prev_width[i+1] <= end); + } + } + return ret; +} + +} +#endif + diff --git a/coloquinte/src/coloquinte/piecewise_linear.hxx b/coloquinte/src/coloquinte/piecewise_linear.hxx new file mode 100644 index 00000000..a71e84de --- /dev/null +++ b/coloquinte/src/coloquinte/piecewise_linear.hxx @@ -0,0 +1,29 @@ + + +#include "common.hxx" + +#include + +namespace coloquinte{ + +typedef std::pair p_v; + +struct piecewise_linear_function{ + std::vector point_values; + + static piecewise_linear_function minimum(piecewise_linear_function const & a, piecewise_linear_function const & b); + piecewise_linear_function previous_min_of_sum(piecewise_linear_function const & o, int_t added_cell_width) const; + piecewise_linear_function previous_min() const; + + int_t value_at(int_t pos) const; + int_t last_before(int_t pos) const; + + void add_monotone(int_t slope, int_t offset); + void add_bislope(int_t s_l, int_t s_r, int_t pos); + + piecewise_linear_function(){} + piecewise_linear_function(int_t min_def, int_t max_def); +}; + +} // End namespace coloquinte + diff --git a/coloquinte/src/coloquinte/rough_legalizers.hxx b/coloquinte/src/coloquinte/rough_legalizers.hxx new file mode 100644 index 00000000..67128513 --- /dev/null +++ b/coloquinte/src/coloquinte/rough_legalizers.hxx @@ -0,0 +1,252 @@ + +#ifndef COLOQUINTE_GP_ROUGH_LEGALIZER +#define COLOQUINTE_GP_ROUGH_LEGALIZER + +#include "common.hxx" +#include "netlist.hxx" + +#include +#include +#include +#include + +/* + * A simple class to perform approximate legalization with extreme efficiency + * + * To be called during global placement or before an exact legalization + * + */ + +namespace coloquinte{ +namespace gp{ + +class region_distribution{ + /* + * Coordinates are mostly float but obstacles and areas are integers for correctness + */ + + public: + struct movable_cell{ + capacity_t demand_; // == area; No FP!!! + point pos_; // Target position, determining the cost to allocate it + // int_t x_size, y_size; // May split cells + index_t index_in_placement_; + + movable_cell(); + movable_cell(capacity_t demand, point p, index_t ind); + }; + + // Specifies a maximum density of movable cells per usable area + // Representing either a macroblock or a routing congestion + struct density_limit{ + box box_; + float_t density_; // from 0.0 for a macro to 1.0 if it does nothing + }; + + private: + + struct region; + + struct cell_ref{ + capacity_t allocated_capacity_; + point pos_; + index_t index_in_list_; + + cell_ref(){} + cell_ref(capacity_t demand, point p, index_t ind) : allocated_capacity_(demand), pos_(p), index_in_list_(ind){} + friend region; + }; + + struct region{ + public: + // Data members + capacity_t capacity_; // ==area; No floating point!!! + point pos_; + + std::vector cell_references_; + + // Constructors + region(){} // Necessary if we want to resize vectors + region(capacity_t cap, point pos, std::vector cells); + + // Helper functions for bipartitioning + private: + static void distribute_new_cells(region & a, region & b, std::vector cells); // Called by the other two to do the dirty work + public: + void distribute_cells(region & a, region & b) const; // Distribute the cells from one region to two + static void redistribute_cells(region & a, region & b); // Optimizes the distribution between two regions + + // Helper functions for multipartitioning + private: + static void distribute_new_cells(std::vector > regions, std::vector cells); + public: + void distribute_cells(std::vector > regions) const; + static void redistribute_cells(std::vector > regions); + + // Helper functions for 1D transportation + public: + static void distribute_new_cells(std::vector > regions, std::vector cells, std::function)> coord); + static void redistribute_cells(std::vector > & regions, std::function)> coord); + + public: + void uniquify_references(); + void selfcheck() const; + + // Accessors + capacity_t capacity() const; + capacity_t allocated_capacity() const; + capacity_t unused_capacity() const; + index_t cell_cnt() const; + + float_t distance(cell_ref const & C) const; + float_t cost() const; + }; + + private: + // Members + index_t x_regions_cnt_, y_regions_cnt_; + + std::vector cell_list_; + std::vector placement_regions_; + + box placement_area_; + std::vector density_map_; + const capacity_t full_density_mul; // Multiplicator giving the grain for fractional areas for the surface + capacity_t cell_density_mul; // ANd for the cells + float_t density_scaling_factor_; + + private: + // Helper functions + region & get_region(index_t x_coord, index_t y_coord); + region const & get_region(index_t x_coord, index_t y_coord) const; + box get_box(index_t x, index_t y, index_t x_cnt, index_t y_cnt) const; + + static void sort_uniquify(std::vector & cell_references); + static void just_uniquify(std::vector & cell_references); + + // Prepare regions with the right positions and capacities; different levels of nesting are compatible + std::vector prepare_regions(index_t x_cnt, index_t y_cnt) const; + + public: + + inline index_t x_regions_cnt() const; + inline index_t y_regions_cnt() const; + inline index_t regions_cnt() const; + + inline index_t cell_cnt() const; + inline index_t fractional_cell_cnt() const; + + /* + * Two types of export + * Region center : upper bound of legalization cost + * 1D quadratic optimization : lower bound of legalization cost + */ + + std::vector export_positions() const; + std::vector export_spread_positions_quadratic() const; + std::vector export_spread_positions_linear() const; + + // The cost as seen by the partitioning algorithms (but not the export) + float_t cost() const; + + /* + * Further partitions + */ + + void x_bipartition(); + void y_bipartition(); + void x_resize(index_t sz); + void y_resize(index_t sz); + void multipartition(index_t x_width, index_t y_width); + void multipartition(index_t width){ multipartition(width, width); } + + /* + * Optimization functions + */ + + // Bipartitioning: only two regions are considered at a time + void redo_adjacent_bipartitions(); + void redo_diagonal_bipartitions(); + void redo_bipartitions(); + + // Line partitioning: optimal on coordinate axis with Manhattan distance (Euclidean distance could use it in any direction) + void redo_line_partitions(); + + // Multipartitioning: several regions considered, slow runtimes + void redo_diag_partitions(index_t len); + void redo_multipartitions(index_t x_width, index_t y_width); + void redo_multipartitions(index_t width){ redo_multipartitions(width, width); } + + // Try to remove duplicate fractional cells + void fractions_minimization(); + + // Verify + void selfcheck() const; + + private: + region_distribution(box placement_area, netlist const & circuit, placement_t const & pl, std::vector const & density_map, bool full_density); + + public: + /* + * Obtain a region_distribution from a placement + * + * Full density: the object tries to pack the cells as much as possible while still respecting the density limits + * Uniform density: not only are the density limits respected, the allocated capacities are proportional to the allowed densities + * + */ + + static region_distribution full_density_distribution(box placement_area, netlist const & circuit, placement_t const & pl, std::vector const & density_map = std::vector()); + static region_distribution uniform_density_distribution(box placement_area, netlist const & circuit, placement_t const & pl, std::vector const & density_map = std::vector()); + + void update(netlist const & circuit, placement_t const & pl); +}; + +inline region_distribution::movable_cell::movable_cell(){} +inline region_distribution::movable_cell::movable_cell(capacity_t demand, point p, index_t ind) : demand_(demand), pos_(p), index_in_placement_(ind){} + +inline index_t region_distribution::x_regions_cnt() const { return x_regions_cnt_; } +inline index_t region_distribution::y_regions_cnt() const { return y_regions_cnt_; } +inline index_t region_distribution::regions_cnt() const { index_t ret = x_regions_cnt() * y_regions_cnt(); assert(placement_regions_.size() == ret); return ret; } +inline region_distribution::region & region_distribution::get_region(index_t x_coord, index_t y_coord){ + return placement_regions_[y_coord * x_regions_cnt() + x_coord]; +} +inline region_distribution::region const & region_distribution::get_region(index_t x_coord, index_t y_coord) const{ + return placement_regions_[y_coord * x_regions_cnt() + x_coord]; +} + +inline index_t region_distribution::cell_cnt() const{ return cell_list_.size(); } +inline index_t region_distribution::fractional_cell_cnt() const{ + index_t tot_cnt = 0; + for(auto const & R : placement_regions_){ + tot_cnt += R.cell_cnt(); + } + return tot_cnt; +} + + +inline capacity_t region_distribution::region::capacity() const{ return capacity_; } +inline capacity_t region_distribution::region::unused_capacity() const{ return capacity() - allocated_capacity(); } +inline capacity_t region_distribution::region::allocated_capacity() const{ + capacity_t ret = 0; + for(cell_ref const C : cell_references_){ + ret += C.allocated_capacity_; + } + return ret; +} +inline index_t region_distribution::region::cell_cnt() const{ return cell_references_.size(); } + +inline float_t region_distribution::region::distance(region_distribution::cell_ref const & C) const{ + return std::abs(pos_.x_ - C.pos_.x_) + std::abs(pos_.y_ - C.pos_.y_); + /* + float_t manhattan = std::max(static_cast(0.0), std::max(C.pos_.x_ - surface_.x_max_, surface_.x_min_ - C.pos_.x_)) + + std::max(static_cast(0.0), std::max(C.pos_.y_ - surface_.y_max_, surface_.y_min_ - C.pos_.y_)); + return manhattan * (1.0 + manhattan * 0.0001); + */ +} + + +} // Namespace gp +} // Namespace coloquinte + +#endif + diff --git a/coloquinte/src/coloquinte/solvers.hxx b/coloquinte/src/coloquinte/solvers.hxx new file mode 100644 index 00000000..447e1612 --- /dev/null +++ b/coloquinte/src/coloquinte/solvers.hxx @@ -0,0 +1,88 @@ + +#ifndef COLOQUINE_GP_SOLVERS +#define COLOQUINE_GP_SOLVERS + +#include "common.hxx" + +#include + +namespace coloquinte{ +namespace gp{ + +struct matrix_doublet{ + index_t c_; + float val_; + bool operator<(matrix_doublet const o) const{ return c_ < o.c_; } + matrix_doublet(){} + matrix_doublet(index_t c, float v) : c_(c), val_(v){} +}; + +struct matrix_triplet{ + index_t r_, c_; + float_t val_; + matrix_triplet(index_t ri, index_t ci, float_t v) : r_(ri), c_(ci), val_(v){} + bool operator<(matrix_triplet const o){ return r_ < o.r_ || (r_ == o.r_ && c_ < o.c_); } +}; + +class linear_system{ + std::vector matrix_; + std::vector target_; + index_t internal_size_; + + public: + void add_triplet(index_t row, index_t col, float_t val){ matrix_.push_back(matrix_triplet(row, col, val)); } + + linear_system operator+(linear_system const & o) const; + + void add_doublet(index_t row, float_t val){ + target_[row] += val; + } + + void add_force( + float_t force, + index_t c1, index_t c2, + float_t offs1, float_t offs2 + ){ + add_triplet(c1, c1, force); + add_triplet(c2, c2, force); + add_triplet(c1, c2, -force); + add_triplet(c2, c1, -force); + add_doublet(c1, force * (offs2-offs1)); + add_doublet(c2, force * (offs1-offs2)); + } + + void add_fixed_force( + float_t force, + index_t c, + float_t fixed_pos, + float_t offs + ){ + add_triplet(c, c, force); + add_doublet(c, force * (fixed_pos-offs)); + } + + void add_anchor( + float_t scale, + index_t c, + float_t pos + ){ + add_triplet(c, c, scale); + add_doublet(c, scale*pos); + } + + linear_system(index_t s) : target_(s, 0.0), internal_size_(s){} + linear_system(index_t s, index_t i) : target_(s, 0.0), internal_size_(i){} + + index_t size() const{ return target_.size(); } + index_t internal_size() const{ return internal_size_; } + void add_variables(index_t cnt){ target_.resize(target_.size() + cnt, 0.0); } + + std::vector solve_CG(std::vector guess, index_t nbr_iter); +}; + +} // namespace gp +} // namespace coloquinte + +#endif + + diff --git a/coloquinte/src/coloquinte/topologies.hxx b/coloquinte/src/coloquinte/topologies.hxx new file mode 100644 index 00000000..3af6fb07 --- /dev/null +++ b/coloquinte/src/coloquinte/topologies.hxx @@ -0,0 +1,33 @@ + +#include "common.hxx" + +#ifndef COLOQUINTE_TOPOLOGIES +#define COLOQUINTE_TOPOLOGIES + +namespace coloquinte{ +namespace steiner_lookup{ + +template +struct Hconnectivity{ + // The edges and the couple of pins connected to the extreme ones are represented by one char each + // The first 4 bits represent the first pin minus one, the next 4 bits the second pin minus one + std::uint8_t connexions[pin_cnt-3]; + std::uint8_t extremes; + + int_t get_wirelength(std::array, pin_cnt> const sorted_points) const; + std::array, pin_cnt-1> get_x_topology(std::array, pin_cnt> const sorted_points) const; +}; + +extern std::array, 2> const topologies_4; +extern std::array, 6> const topologies_5; +extern std::array, 23> const topologies_6; +extern std::array, 111> const topologies_7; +extern std::array, 642> const topologies_8; +extern std::array, 4334> const topologies_9; +extern std::array, 33510> const topologies_10; + +} +} + +#endif + diff --git a/coloquinte/src/coloquinte/union_find.hxx b/coloquinte/src/coloquinte/union_find.hxx new file mode 100644 index 00000000..c3964a38 --- /dev/null +++ b/coloquinte/src/coloquinte/union_find.hxx @@ -0,0 +1,47 @@ + +#ifndef COLOQUINTE_UNION_FIND +#define COLOQUINTE_UNION_FIND + +#include "common.hxx" + +#include + +namespace coloquinte{ + +class union_find{ + std::vector connex_representants; + + public: + index_t size() const { return connex_representants.size(); } + + void merge(index_t a, index_t b){ + connex_representants[find(a)] = b; + } + + index_t find(index_t ind){ + if(connex_representants[ind] != ind){ + connex_representants[ind] = find(connex_representants[ind]); + } + return connex_representants[ind]; + } + + union_find(index_t s) : connex_representants(s){ + for(index_t i=0; i + +namespace coloquinte{ +namespace dp{ + +detailed_placement::detailed_placement( + placement_t pl, + std::vector placement_rows, + std::vector cell_heights, + std::vector > rows, + int_t min_x, int_t max_x, + int_t y_origin, + index_t nbr_rows, int_t row_height + ) + : + plt_(pl), + cell_rows_(placement_rows), + min_x_(min_x), max_x_(max_x), + y_origin_(y_origin) + { + + assert(row_height > 0); + assert(min_x < max_x); + assert(rows.size() == nbr_rows); + + neighbours_limits_.push_back(0); + for(index_t h : cell_heights){ + neighbours_limits_.push_back(neighbours_limits_.back() + h); + } + + neighbours_ .resize(neighbours_limits_.back(), std::pair(null_ind, null_ind) ); + + row_first_cells_ .resize(nbr_rows, null_ind); + row_last_cells_ .resize(nbr_rows, null_ind); + + std::vector explored(neighbours_limits_.back(), false); + // Now we extract the dependencies + for(index_t r=0; r= min_x_ and c.position.x_ + c.width <= max_x_); + + index_t n_ind = l + neighbours_limits_[i]; + assert(cell_rows_[i] + cell_height(i) <= row_cnt()); + + if(neighbours_[n_ind].first != null_ind){ + index_t oi = neighbours_[n_ind].first; + // Correct neighbour position + assert(neighbours_[neighbour_index(oi, cell_rows_[i]+l)].second == i); + } + else{ + // Beginning of a row + assert(row_first_cells_[cell_rows_[i] + l] == i); + } + if(neighbours_[n_ind].second != null_ind){ + index_t oi = neighbours_[n_ind].second; + // Correct neighbour position + assert(neighbours_[neighbour_index(oi, cell_rows_[i]+l)].first == i); + } + else{ + // End of a row + assert(row_last_cells_[cell_rows_[i] + l] == i); + } + } + } +} + +void detailed_placement::swap_standard_cell_topologies(index_t c1, index_t c2){ + assert(cell_height(c1) == cell_height(c2)); + assert(cell_height(c1) == 1 and cell_height(c2) == 1); + + index_t row_c1 = cell_rows_[c1], + row_c2 = cell_rows_[c2]; + + index_t b_c1 = neighbours_[neighbours_limits_[c1]].first; + index_t b_c2 = neighbours_[neighbours_limits_[c2]].first; + index_t a_c1 = neighbours_[neighbours_limits_[c1]].second; + index_t a_c2 = neighbours_[neighbours_limits_[c2]].second; + + // Two cases: they were adjacent or they were not + // Luckily updating in the neighbours first then swapping the recorded neighbours works in both cases for standard cells + + // Update the pointers in the cells' neighbours + if(b_c1 != null_ind) neighbours_[neighbour_index(b_c1, row_c1)].second = c2; + else row_first_cells_[row_c1] = c2; + if(b_c2 != null_ind) neighbours_[neighbour_index(b_c2, row_c2)].second = c1; + else row_first_cells_[row_c2] = c1; + + if(a_c1 != null_ind) neighbours_[neighbour_index(a_c1, row_c1)].first = c2; + else row_last_cells_[row_c1] = c2; + if(a_c2 != null_ind) neighbours_[neighbour_index(a_c2, row_c2)].first = c1; + else row_last_cells_[row_c2] = c1; + + // Swap the properties in both cells + std::swap(neighbours_[neighbours_limits_[c1]], neighbours_[neighbours_limits_[c2]]); + std::swap(cell_rows_[c1], cell_rows_[c2]); +} + +std::pair detailed_placement::get_limit_positions(netlist const & circuit, index_t c) const{ + auto ret = std::pair(min_x_, max_x_); + for(index_t l=neighbours_limits_[c]; l const old_order, std::vector const new_order, index_t r){ + assert(old_order.size() == new_order.size()); + assert(not old_order.empty()); + + index_t before_row = get_prev_cell_on_row(old_order.front(), r); + index_t after_row = get_next_cell_on_row(old_order.back(), r); + + for(index_t i=0; i 0){ + nghs.first = new_order[i-1]; + } + else{ + nghs.first = before_row; + } + if(i+1 < new_order.size()){ + nghs.second = new_order[i+1]; + } + else{ + nghs.second = after_row; + } + } + + if(before_row != null_ind) neighbours_[neighbour_index(before_row, r)].second = new_order.front(); + else row_first_cells_[r] = new_order.front(); + if(after_row != null_ind) neighbours_[neighbour_index(after_row, r)].first = new_order.back(); + else row_last_cells_[r] = new_order.back(); +} + +void detailed_placement::reorder_standard_cells(std::vector const old_order, std::vector const new_order){ + assert(old_order.size() == new_order.size()); + assert(not old_order.empty()); + + index_t before_row = neighbours_[neighbours_limits_[old_order.front()]].first; + index_t after_row = neighbours_[neighbours_limits_[old_order.back() ]].second; + + index_t r = cell_rows_[new_order.front()]; + + for(index_t i=0; i 0){ + nghs.first = new_order[i-1]; + } + else{ + nghs.first = before_row; + } + if(i+1 < new_order.size()){ + nghs.second = new_order[i+1]; + } + else{ + nghs.second = after_row; + } + } + + if(before_row != null_ind) neighbours_[neighbour_index(before_row, r)].second = new_order.front(); + else row_first_cells_[r] = new_order.front(); + if(after_row != null_ind) neighbours_[neighbour_index(after_row, r)].first = new_order.back(); + else row_last_cells_[r] = new_order.back(); +} + +void row_compatible_orientation(netlist const & circuit, detailed_placement & pl, bool first_row_orient){ + for(index_t c=0; c +#include +#include + +namespace coloquinte{ +namespace dp{ + +void get_result(netlist const & circuit, detailed_placement const & dpl, placement_t & gpl){ + for(index_t c=0; c task() const{ return legalizable_task(width, x_pos, original_cell); } +}; + +struct fixed_cell_interval{ + int_t min_x, max_x; + index_t cell_ind; + + bool operator<(fixed_cell_interval const o) const{ return min_x > o.min_x; } + fixed_cell_interval(int_t mn, int_t mx, index_t ind) : min_x(mn), max_x(mx), cell_ind(ind){} +}; + +struct cell_leg_properties{ + int_t x_pos; + index_t row_pos; + index_t ind; + + cell_leg_properties(){} + cell_leg_properties(int_t x, int_t r, index_t i) : x_pos(x), row_pos(r), ind(i){} +}; + +std::vector simple_legalize( + std::vector > obstacles, std::vector cells, + std::vector > & rows, + int_t x_min, int_t x_max, int_t y_orig, + int_t row_height, index_t nbr_rows + ){ + + std::vector first_available_position(nbr_rows, x_min); + rows.resize(nbr_rows); + + // Sort the cells by x position + std::sort(cells.begin(), cells.end()); + + std::vector ret; + + for(cell_to_leg C : cells){ + // Dumb, quick and dirty best-fit legalization + bool found_location = false; + + // Properties of the current best solution + int_t best_x=0; + int_t best_cost=0; + index_t best_row=0; + + // Helper function + auto check_row_cost = [&](index_t r, cell_to_leg const cell, int_t additional_cost){ + // Find where to put the cell in these rows + // Simple method: get a range where we can put the cell + + assert(r + cell.nbr_rows <= nbr_rows); + assert(additional_cost >= 0); + + // First position where we can put it + int_t cur_pos = *std::max_element(first_available_position.begin() + r, first_available_position.begin() + r + cell.nbr_rows); + int_t max_lim = x_max - cell.width; + int_t interval_lim; + do{ + interval_lim = max_lim; + // For each row, test if obstacles prevent us from putting a cell here + // Until we find a correct position or are beyond the maximum position + for(index_t i = 0; imax_x <= cur_pos; ++it){ + } + if(it != obstacles[r+i].rend()){ // There is an obstacle on the right + assert(it->min_x < it->max_x); + int_t cur_lim = it->min_x - cell.width; // Where the obstacles contrains us + interval_lim = std::min(cur_lim, interval_lim); // Constraint + if(cur_lim < cur_pos){ // If this particular obstacle constrained us so that it is not possible to make it here, we increment the position + cur_pos = std::max(it->max_x, cur_pos); + } + } + } + // Do it again until we find a solution + // TODO: continue until we can't find a better solution (currently sticks before the first obstacle if there is enough whitespace) + }while(interval_lim < cur_pos and interval_lim < max_lim and cur_pos < max_lim); // Not admissible and we encountered an obstacle and there is still hope + + if(interval_lim >= cur_pos){ // An admissible solution is found (and if cell.x_pos is between cur_pos and interval_lim it is optimal) + int_t row_best_x = std::min(interval_lim, std::max(cur_pos, cell.x_pos)); + int_t row_cost_x = std::abs(row_best_x - cell.x_pos); + if(not found_location or row_cost_x + additional_cost < best_cost){ + found_location = true; + best_cost = row_cost_x + additional_cost; + best_x = row_best_x; + best_row = r; + } + } + }; + + // The row where we would prefer the cell to go + if(C.nbr_rows > nbr_rows) throw std::runtime_error("Impossible to legalize a cell spanning more rows than are available\n"); + index_t central_row = std::min( (index_t) std::max( (C.y_pos - y_orig) / row_height, 0), nbr_rows-C.nbr_rows); + + // Try every possible row from the best one, until we can't improve the cost + for(index_t row_dist = 0; + (central_row + row_dist < nbr_rows or central_row >= row_dist) + and (not found_location or (int_t) row_dist * row_height * C.width < (int_t) row_height + best_cost); + ++row_dist + ){ + if(central_row + row_dist < nbr_rows - C.nbr_rows){ + int_t add_cost = C.width * std::abs(static_cast(central_row + row_dist) * static_cast(row_height) + y_orig - C.y_pos); + check_row_cost(central_row + row_dist, C, add_cost); + } + if(central_row >= row_dist){ + int_t add_cost = C.width * std::abs(static_cast(central_row - row_dist) * static_cast(row_height) + y_orig - C.y_pos); + check_row_cost(central_row - row_dist, C, add_cost); + } + } + + if(not found_location){ // We didn't find any whitespace to put the cell in + throw std::runtime_error("Didn't manage to pack a cell due to dumb algorithm\n"); + } + else{ + assert(best_x + C.width <= x_max and best_x >= x_min); + // Update the occupied rows + for(index_t r = best_row; r < best_row + C.nbr_rows; ++r){ + // Include the obstacles + while(not obstacles[r].empty() + and obstacles[r].back().max_x <= best_x){ + rows[r].push_back(obstacles[r].back().cell_ind); + obstacles[r].pop_back(); + } + assert(obstacles[r].empty() or obstacles[r].back().min_x >= best_x + C.width); + + rows[r].push_back(C.original_cell); + first_available_position[r] = best_x + C.width; + } + + ret.push_back(cell_leg_properties(best_x, best_row, C.original_cell)); + } + } + + // Finally, push the remaining fixed cells + for(index_t r=0; r good_legalize( + std::vector > obstacles, std::vector cells, + std::vector > & rows, + int_t x_min, int_t x_max, int_t y_orig, + int_t row_height, index_t nbr_rows + ){ + + // Two possibilities: + // * Single OSRP (group of movable cells) at the current end of the row of standard cells + // * Multiple OSRPs, between each pair of obstacles + // -> allows pushing cells past obstacles + // -> tricky with multiple standard cell heights + // Therefore I chose single OSRP, which gets cleared and pushed to the final state whenever + // * we encounter a multiple-rows cell + // * a new standard cell gets past an obstacle + + // The current group of standard cells on the right of the row + std::vector > single_row_problems(nbr_rows); + for(index_t r=0; r(x_min, obstacles[r].empty() ? x_max : obstacles[r].back().min_x); + } + rows.resize(nbr_rows); + + // Sort the cells by x position + std::sort(cells.begin(), cells.end()); + + std::vector ret; + + for(cell_to_leg C : cells){ + // Dumb, quick and dirty best-fit legalization + bool found_location = false; + + // Properties of the current best solution + int_t best_cost=0; + index_t best_row=0; + index_t obstacles_passed = 0; + + // Helper function + auto check_row_cost = [&](index_t r, cell_to_leg const cell, int_t additional_cost){ + // Find where to put the cell in these rows + // Check if we can put it in the current ranges and at what cost; if not or if the optimal position is beyond an obstacle, try after this obstacle too + + assert(cell.nbr_rows > 0); + assert(r + cell.nbr_rows <= nbr_rows); + assert(additional_cost >= 0); + + // Where can we put a standard cell if we allow to move the cells? + if(cell.nbr_rows == 1){ + int_t cur_cost = 0; + + // Can we simply add it to the single row problem? + bool found_here = single_row_problems[r].remaining_space() >= cell.width; + int_t loc_obstacles_passed = 0; + if(found_here){ + // Check the cost of pushing it here with possible displacement + cur_cost = single_row_problems[r].get_cost(cell.task()); // Don't update the row + } + + // Other positions where we can put it, without moving other cells this time + if(not found_here or cur_cost > 0){ + index_t obstacles_to_throw = 0; + auto it = obstacles[r].rbegin(); + while(it != obstacles[r].rend()){ + ++ obstacles_to_throw; + auto prev_it = it++; + int_t region_end = it != obstacles[r].rend() ? it->min_x : x_max; + if(region_end >= prev_it->max_x + cell.width){ + int_t loc_x = std::min(region_end - cell.width, std::max(prev_it->max_x, cell.x_pos)); + int_t loc_cost = cell.width * std::abs(cell.x_pos - loc_x); + if(not found_here or cur_cost > loc_cost){ + found_here = true; + cur_cost = loc_cost; + loc_obstacles_passed = obstacles_to_throw; + } + } + } + } + if(found_here and (not found_location or cur_cost + additional_cost < best_cost)){ + found_location = true; + //std::cout << "Found with displacement cost " << cur_cost << " and total cost " << cur_cost + additional_cost << std::endl; + best_cost = cur_cost + additional_cost; + best_row = r; + obstacles_passed = loc_obstacles_passed; + if(loc_obstacles_passed > 0) assert(not obstacles[r].empty()); + } + } + else{ + // If it is a fixed cell, we use fixed locations + throw std::runtime_error("I don't handle fucking macros\n"); + } + }; + + // The row where we would prefer the cell to go + if(C.nbr_rows > nbr_rows) throw std::runtime_error("Impossible to legalize a cell spanning more rows than are available\n"); + index_t central_row = std::min( (index_t) std::max( (C.y_pos - y_orig) / row_height, 0), nbr_rows-C.nbr_rows); + + // Try every possible row from the best one, until we can't improve the cost + for(index_t row_dist = 0; + (central_row + row_dist < nbr_rows or central_row >= row_dist) + and (not found_location or (int_t) row_dist * row_height * C.width < (int_t) row_height + best_cost); + ++row_dist + ){ + if(central_row + row_dist < nbr_rows - C.nbr_rows){ + int_t add_cost = C.width * std::abs(static_cast(central_row + row_dist) * static_cast(row_height) + y_orig - C.y_pos); + check_row_cost(central_row + row_dist, C, add_cost); + } + if(central_row >= row_dist){ + int_t add_cost = C.width * std::abs(static_cast(central_row - row_dist) * static_cast(row_height) + y_orig - C.y_pos); + check_row_cost(central_row - row_dist, C, add_cost); + } + } + + if(not found_location){ // We didn't find any whitespace to put the cell in + throw std::runtime_error("Didn't manage to pack a cell: leave more whitespace and avoid macros near the right side\n"); + } + else{ + //std::cout << "Cell " << C.original_cell << " of width " << C.width << " targetting row " << central_row << " and position " << C.x_pos << " put at row " << best_row << " with displacement " << best_cost / C.width << " with " << obstacles_passed << " obstacles passed" << std::endl; + // If the cell spans multiple rows, it becomes fixed + // In this case or if the cell goes after an obstacle, push everything before the cell to the fixed state + + if(C.nbr_rows == 1){ + if(obstacles_passed == 0){ // Ok; just update the old single row problem + single_row_problems[best_row].push(C.task()); // Push it to the row + } + else{ + assert(obstacles_passed > 0); + // Empty the single row problem + for(auto p : single_row_problems[best_row].get_placement()){ + rows[best_row].push_back(p.first); + ret.push_back(cell_leg_properties(p.second, best_row, p.first)); + } + // Find where to put it + int_t region_begin = x_min; + for(index_t i=0; i(region_begin, region_end); + assert(region_end - region_begin >= C.width); + single_row_problems[best_row].push(C.task()); // Push this only cell to the single row problem + } + } + else{ + throw std::runtime_error("I don't handle fucking macros\n"); + } + } + } + + for(index_t r=0; r surface, int_t row_height){ + if(row_height <= 0) throw std::runtime_error("The rows' height should be positive\n"); + + index_t nbr_rows = (surface.y_max_ - surface.y_min_) / row_height; + // The position of the ith row is surface.y_min_ + i * row_height + + std::vector > row_occupation(nbr_rows); + std::vector cells; + + placement_t new_placement = pl; + std::vector placement_rows(circuit.cell_cnt()); + std::vector cell_heights(circuit.cell_cnt()); + + for(index_t i=0; i target_pos = pl.positions_[i]; + index_t cur_cell_rows = (cur.size.y_ + row_height -1) / row_height; + cells.push_back(cell_to_leg(target_pos.x_, target_pos.y_, i, cur.size.x_, cur_cell_rows)); + cell_heights[i] = cur_cell_rows; + } + else{ + // In each row, we put the index of the fixed cell and the range that is already occupied + int_t low_x_pos = pl.positions_[i].x_, + hgh_x_pos = pl.positions_[i].x_ + cur.size.x_, + low_y_pos = pl.positions_[i].y_, + hgh_y_pos = pl.positions_[i].y_ + cur.size.y_; + + new_placement.positions_[i] = point(low_x_pos, low_y_pos); + if(hgh_y_pos <= surface.y_min_ or low_y_pos >= surface.y_max_ or hgh_x_pos <= surface.x_min_ or low_x_pos >= surface.x_max_){ + placement_rows[i] = null_ind; + cell_heights[i] = 0; + } + else{ + assert(low_x_pos < hgh_x_pos and low_y_pos < hgh_y_pos); + + int_t rnd_hgh_x_pos = std::min(surface.x_max_, hgh_x_pos); + int_t rnd_hgh_y_pos = std::min(surface.y_max_, hgh_y_pos); + int_t rnd_low_x_pos = std::max(surface.x_min_, low_x_pos); + int_t rnd_low_y_pos = std::max(surface.y_min_, low_y_pos); + + index_t first_row = (rnd_low_y_pos - surface.y_min_) / row_height; + index_t last_row = (index_t) (rnd_hgh_y_pos - surface.y_min_ + row_height - 1) / row_height; // Exclusive: if the cell spans the next row, i.e. pos % row_height >= 0, include it too + assert(last_row <= nbr_rows); + + placement_rows[i] = first_row; + cell_heights[i] = last_row - first_row; + for(index_t r=first_row; r & L : row_occupation){ + std::sort(L.begin(), L.end()); // Sorts from last to first, so that we may use pop_back() + // Doesn't collapse them yet, which may make for bigger complexities + for(index_t i=0; i+1 > cells_by_rows; + + auto final_cells = good_legalize(row_occupation, cells, cells_by_rows, + surface.x_min_, surface.x_max_, surface.y_min_, + row_height, nbr_rows + ); + + for(cell_leg_properties C : final_cells){ + new_placement.positions_[C.ind] = point(C.x_pos, static_cast(C.row_pos) * row_height + surface.y_min_); + placement_rows[C.ind] = C.row_pos; + } + + return detailed_placement( + new_placement, + placement_rows, + cell_heights, + cells_by_rows, + surface.x_min_, surface.x_max_, + surface.y_min_, + nbr_rows, row_height + ); +} + +} // namespace dp +} // namespace coloquinte + diff --git a/coloquinte/src/lookup_table.cxx b/coloquinte/src/lookup_table.cxx new file mode 100644 index 00000000..087099e6 --- /dev/null +++ b/coloquinte/src/lookup_table.cxx @@ -0,0 +1,38654 @@ + +#include "coloquinte/topologies.hxx" + +namespace coloquinte{ +namespace steiner_lookup{ + +// This content was automatically generated +// They represent a set of trees on n nodes whose horizontal connectivity yield the optimal Steiner trees + +std::array, 2> const topologies_4{{ + {{16},16}, + {{1},0} +}}; +std::array, 6> const topologies_5{{ + {{16,33},32}, + {{16,18},16}, + {{16,18},17}, + {{1,32},32}, + {{2,16},16}, + {{18,1},0} +}}; +std::array, 23> const topologies_6{{ + {{16,33,50},48}, + {{16,33,35},32}, + {{32,33,35},32}, + {{32,33,35},33}, + {{16,33,35},34}, + {{16,18,49},48}, + {{16,18,49},49}, + {{16,18,19},17}, + {{16,19,33},32}, + {{16,19,33},33}, + {{16,35,18},16}, + {{16,35,18},17}, + {{1,32,50},48}, + {{1,32,35},32}, + {{2,16,49},48}, + {{2,16,19},16}, + {{18,1,48},48}, + {{18,3,16},16}, + {{18,19,1},0}, + {{3,16,33},32}, + {{19,1,32},32}, + {{35,2,16},16}, + {{35,18,1},0} +}}; +std::array, 111> const topologies_7{{ + {{16,33,50,67},64}, + {{16,33,50,52},48}, + {{16,49,50,52},48}, + {{32,49,50,52},48}, + {{48,33,50,52},48}, + {{32,49,50,52},49}, + {{48,33,50,52},49}, + {{16,49,50,52},50}, + {{16,33,50,52},51}, + {{16,33,35,66},64}, + {{32,33,35,66},64}, + {{32,33,35,66},65}, + {{16,33,35,66},66}, + {{32,33,35,36},32}, + {{32,33,35,36},33}, + {{16,33,35,36},34}, + {{32,33,35,36},34}, + {{16,33,36,50},48}, + {{32,33,36,50},48}, + {{32,33,36,50},49}, + {{16,33,36,50},50}, + {{16,33,52,35},32}, + {{32,33,52,35},32}, + {{32,33,52,35},33}, + {{16,33,52,35},34}, + {{16,18,49,67},64}, + {{16,18,49,67},65}, + {{16,18,49,52},48}, + {{16,18,49,52},49}, + {{48,18,49,52},49}, + {{16,18,49,52},51}, + {{16,18,19,65},65}, + {{16,18,20,49},49}, + {{16,18,52,19},17}, + {{16,19,33,66},64}, + {{16,19,33,66},65}, + {{16,19,33,36},32}, + {{16,19,33,36},33}, + {{32,19,33,36},33}, + {{16,19,33,36},34}, + {{16,35,18,65},64}, + {{16,35,18,65},65}, + {{16,35,18,20},17}, + {{16,35,20,33},32}, + {{16,19,20,33},33}, + {{16,35,20,33},33}, + {{32,35,20,33},33}, + {{16,35,20,33},34}, + {{16,35,36,18},16}, + {{16,19,36,18},17}, + {{16,35,36,18},17}, + {{32,35,36,18},17}, + {{16,35,36,18},18}, + {{16,20,33,50},48}, + {{16,20,33,50},49}, + {{16,36,18,49},48}, + {{16,36,18,49},49}, + {{16,52,19,33},32}, + {{16,52,19,33},33}, + {{16,52,35,18},16}, + {{16,52,35,18},17}, + {{1,32,50,67},64}, + {{1,32,50,52},48}, + {{1,48,50,52},48}, + {{1,32,35,66},64}, + {{1,32,36,50},48}, + {{1,32,52,35},32}, + {{49,2,48,52},48}, + {{33,3,32,36},32}, + {{33,35,4,32},32}, + {{33,35,36,2},0}, + {{2,16,49,67},64}, + {{2,16,49,52},48}, + {{2,16,19,65},64}, + {{2,16,20,49},48}, + {{2,16,52,19},16}, + {{18,1,48,67},64}, + {{18,1,48,52},48}, + {{18,3,16,65},64}, + {{18,19,1,64},64}, + {{18,4,16,49},48}, + {{18,20,1,48},48}, + {{18,52,3,16},16}, + {{18,52,19,1},0}, + {{3,16,33,66},64}, + {{3,16,33,36},32}, + {{3,16,20,33},32}, + {{3,16,36,18},16}, + {{19,1,32,66},64}, + {{19,1,32,36},32}, + {{35,2,16,65},64}, + {{35,2,16,20},16}, + {{35,18,1,64},64}, + {{35,18,4,16},16}, + {{35,18,20,1},0}, + {{19,4,16,33},32}, + {{35,4,16,33},32}, + {{19,20,1,32},32}, + {{35,20,1,32},32}, + {{19,36,2,16},16}, + {{35,36,2,16},16}, + {{19,36,18,1},0}, + {{35,36,18,1},0}, + {{4,16,33,50},48}, + {{20,1,32,50},48}, + {{36,2,16,49},48}, + {{36,18,1,48},48}, + {{52,3,16,33},32}, + {{52,19,1,32},32}, + {{52,35,2,16},16}, + {{52,35,18,1},0} +}}; +std::array, 642> const topologies_8{{ + {{16,33,50,67,84},80}, + {{16,33,50,67,69},64}, + {{16,33,66,67,69},64}, + {{16,49,66,67,69},64}, + {{16,65,50,67,69},64}, + {{32,49,66,67,69},64}, + {{32,65,50,67,69},64}, + {{48,33,66,67,69},64}, + {{64,33,50,67,69},64}, + {{32,49,66,67,69},65}, + {{32,65,50,67,69},65}, + {{48,33,66,67,69},65}, + {{64,33,50,67,69},65}, + {{16,49,66,67,69},66}, + {{16,65,50,67,69},66}, + {{16,33,66,67,69},67}, + {{16,33,50,67,69},68}, + {{16,33,50,52,83},80}, + {{16,49,50,52,83},80}, + {{32,49,50,52,83},80}, + {{48,33,50,52,83},80}, + {{32,49,50,52,83},81}, + {{48,33,50,52,83},81}, + {{16,49,50,52,83},82}, + {{16,33,50,52,83},83}, + {{16,49,50,52,53},48}, + {{32,49,50,52,53},48}, + {{48,33,50,52,53},48}, + {{48,49,50,52,53},48}, + {{32,49,50,52,53},49}, + {{48,33,50,52,53},49}, + {{48,49,50,52,53},49}, + {{16,49,50,52,53},50}, + {{48,49,50,52,53},50}, + {{16,33,50,52,53},51}, + {{16,49,50,52,53},51}, + {{32,49,50,52,53},51}, + {{48,33,50,52,53},51}, + {{16,33,50,53,67},64}, + {{16,49,50,53,67},64}, + {{32,49,50,53,67},64}, + {{48,33,50,53,67},64}, + {{32,49,50,53,67},65}, + {{48,33,50,53,67},65}, + {{16,49,50,53,67},66}, + {{16,33,50,53,67},67}, + {{16,33,50,69,52},48}, + {{16,49,50,69,52},48}, + {{32,49,50,69,52},48}, + {{48,33,50,69,52},48}, + {{32,49,50,69,52},49}, + {{48,33,50,69,52},49}, + {{16,49,50,69,52},50}, + {{16,33,50,69,52},51}, + {{16,33,35,66,84},80}, + {{32,33,35,66,84},80}, + {{32,33,35,66,84},81}, + {{16,33,35,66,84},82}, + {{16,33,35,66,69},64}, + {{32,33,35,66,69},64}, + {{32,65,35,66,69},64}, + {{64,33,35,66,69},64}, + {{32,33,35,66,69},65}, + {{32,65,35,66,69},65}, + {{64,33,35,66,69},65}, + {{16,33,35,66,69},66}, + {{16,65,35,66,69},66}, + {{32,65,35,66,69},66}, + {{64,33,35,66,69},66}, + {{16,33,35,66,69},68}, + {{32,33,35,66,69},68}, + {{32,33,35,36,82},80}, + {{32,33,35,36,82},81}, + {{16,33,35,36,82},82}, + {{32,33,35,36,82},82}, + {{32,33,35,36,37},34}, + {{32,33,35,37,66},64}, + {{32,33,35,37,66},65}, + {{16,33,35,37,66},66}, + {{32,33,35,37,66},66}, + {{32,33,35,69,36},32}, + {{32,33,35,69,36},33}, + {{16,33,35,69,36},34}, + {{32,33,35,69,36},34}, + {{16,33,36,50,83},80}, + {{32,33,36,50,83},80}, + {{32,33,36,50,83},81}, + {{16,33,36,50,83},82}, + {{16,33,36,50,53},48}, + {{32,33,36,50,53},48}, + {{32,49,36,50,53},48}, + {{48,33,36,50,53},48}, + {{32,33,36,50,53},49}, + {{32,49,36,50,53},49}, + {{48,33,36,50,53},49}, + {{16,33,36,50,53},50}, + {{16,49,36,50,53},50}, + {{32,49,36,50,53},50}, + {{48,33,36,50,53},50}, + {{16,33,36,50,53},51}, + {{32,33,36,50,53},51}, + {{16,33,52,35,82},80}, + {{32,33,52,35,82},80}, + {{32,33,52,35,82},81}, + {{16,33,52,35,82},82}, + {{32,33,52,35,37},32}, + {{32,33,52,35,37},33}, + {{16,33,52,35,37},34}, + {{32,33,52,35,37},34}, + {{16,33,52,37,50},48}, + {{32,33,36,37,50},48}, + {{32,33,52,37,50},48}, + {{32,49,52,37,50},48}, + {{48,33,52,37,50},48}, + {{32,33,36,37,50},49}, + {{32,33,52,37,50},49}, + {{32,49,52,37,50},49}, + {{48,33,52,37,50},49}, + {{16,33,36,37,50},50}, + {{16,33,52,37,50},50}, + {{16,49,52,37,50},50}, + {{32,33,36,37,50},50}, + {{32,49,52,37,50},50}, + {{48,33,52,37,50},50}, + {{16,33,52,37,50},51}, + {{32,33,52,37,50},51}, + {{16,33,52,53,35},32}, + {{32,33,36,53,35},32}, + {{32,33,52,53,35},32}, + {{32,49,52,53,35},32}, + {{48,33,52,53,35},32}, + {{32,33,36,53,35},33}, + {{32,33,52,53,35},33}, + {{32,49,52,53,35},33}, + {{48,33,52,53,35},33}, + {{16,33,36,53,35},34}, + {{16,33,52,53,35},34}, + {{16,49,52,53,35},34}, + {{32,33,36,53,35},34}, + {{32,49,52,53,35},34}, + {{48,33,52,53,35},34}, + {{16,33,52,53,35},35}, + {{32,33,52,53,35},35}, + {{16,33,37,50,67},64}, + {{32,33,37,50,67},64}, + {{32,33,37,50,67},65}, + {{16,33,37,50,67},66}, + {{16,33,53,35,66},64}, + {{32,33,53,35,66},64}, + {{32,33,53,35,66},65}, + {{16,33,53,35,66},66}, + {{16,33,69,36,50},48}, + {{32,33,69,36,50},48}, + {{32,33,69,36,50},49}, + {{16,33,69,36,50},50}, + {{16,33,69,52,35},32}, + {{32,33,69,52,35},32}, + {{32,33,69,52,35},33}, + {{16,33,69,52,35},34}, + {{16,18,49,67,84},80}, + {{16,18,49,67,84},81}, + {{16,18,49,67,69},64}, + {{16,18,65,67,69},64}, + {{16,18,49,67,69},65}, + {{16,18,65,67,69},65}, + {{48,18,65,67,69},65}, + {{64,18,49,67,69},65}, + {{16,18,65,67,69},67}, + {{16,18,49,67,69},68}, + {{16,18,49,52,83},80}, + {{16,18,49,52,83},81}, + {{48,18,49,52,83},81}, + {{16,18,49,52,83},83}, + {{48,18,49,52,53},49}, + {{16,18,49,52,53},51}, + {{16,18,49,53,67},64}, + {{16,18,49,53,67},65}, + {{48,18,49,53,67},65}, + {{16,18,49,53,67},67}, + {{16,18,49,69,52},48}, + {{16,18,49,69,52},49}, + {{48,18,49,69,52},49}, + {{16,18,49,69,52},51}, + {{16,18,19,65,84},81}, + {{16,66,19,65,69},64}, + {{16,18,19,65,69},65}, + {{16,66,19,65,69},65}, + {{32,66,19,65,69},65}, + {{16,66,19,65,69},66}, + {{16,18,20,49,83},81}, + {{16,50,20,49,53},48}, + {{16,18,20,49,53},49}, + {{16,50,20,49,53},49}, + {{32,50,20,49,53},49}, + {{16,50,20,49,53},50}, + {{16,18,52,19,81},81}, + {{16,50,52,21,49},48}, + {{16,18,52,21,49},49}, + {{16,50,52,21,49},49}, + {{32,50,52,21,49},49}, + {{16,50,52,21,49},50}, + {{16,50,52,53,19},16}, + {{16,18,52,53,19},17}, + {{16,50,52,53,19},17}, + {{32,50,52,53,19},17}, + {{16,50,52,53,19},18}, + {{16,18,21,49,67},65}, + {{16,18,53,19,65},65}, + {{16,18,69,20,49},49}, + {{16,18,69,52,19},17}, + {{16,19,33,66,84},80}, + {{16,19,33,66,84},81}, + {{16,19,33,66,69},64}, + {{16,19,33,66,69},65}, + {{64,19,33,66,69},65}, + {{16,19,33,66,69},68}, + {{16,19,33,36,82},80}, + {{16,19,33,36,82},81}, + {{32,19,33,36,82},81}, + {{16,19,33,36,82},82}, + {{32,19,33,36,37},33}, + {{16,19,33,36,37},34}, + {{16,19,33,37,66},64}, + {{16,19,33,37,66},65}, + {{32,19,33,37,66},65}, + {{16,19,33,37,66},66}, + {{16,19,33,69,36},32}, + {{16,19,33,69,36},33}, + {{32,19,33,69,36},33}, + {{16,19,33,69,36},34}, + {{16,35,18,65,84},80}, + {{16,35,18,65,84},81}, + {{16,35,18,65,69},64}, + {{16,35,18,65,69},65}, + {{64,35,18,65,69},65}, + {{16,35,18,65,69},68}, + {{16,35,18,20,81},81}, + {{16,35,18,21,65},65}, + {{16,35,18,69,20},17}, + {{16,35,20,33,82},80}, + {{16,19,20,33,82},81}, + {{16,35,20,33,82},81}, + {{32,35,20,33,82},81}, + {{16,35,20,33,82},82}, + {{16,19,20,33,37},33}, + {{32,35,20,33,37},33}, + {{16,35,20,33,37},34}, + {{16,35,36,18,81},80}, + {{16,19,36,18,81},81}, + {{16,35,36,18,81},81}, + {{32,35,36,18,81},81}, + {{16,35,36,18,81},82}, + {{16,35,36,18,21},17}, + {{16,19,36,21,33},33}, + {{16,35,20,21,33},33}, + {{32,35,36,21,33},33}, + {{16,35,36,21,33},34}, + {{16,19,36,37,18},17}, + {{16,35,20,37,18},17}, + {{32,35,36,37,18},17}, + {{16,35,36,37,18},18}, + {{16,35,21,33,66},64}, + {{16,19,21,33,66},65}, + {{16,35,21,33,66},65}, + {{32,35,21,33,66},65}, + {{16,35,21,33,66},66}, + {{16,35,37,18,65},64}, + {{16,19,37,18,65},65}, + {{16,35,37,18,65},65}, + {{32,35,37,18,65},65}, + {{16,35,37,18,65},66}, + {{16,35,69,20,33},32}, + {{16,19,69,20,33},33}, + {{16,35,69,20,33},33}, + {{32,35,69,20,33},33}, + {{16,35,69,20,33},34}, + {{16,35,69,36,18},16}, + {{16,19,69,36,18},17}, + {{16,35,69,36,18},17}, + {{32,35,69,36,18},17}, + {{16,35,69,36,18},18}, + {{16,20,33,50,83},80}, + {{16,20,33,50,83},81}, + {{16,20,33,50,53},48}, + {{16,20,33,50,53},49}, + {{48,20,33,50,53},49}, + {{16,20,33,50,53},51}, + {{16,20,33,37,50},48}, + {{16,20,33,37,50},49}, + {{32,20,33,37,50},49}, + {{16,20,33,37,50},50}, + {{16,20,33,53,35},32}, + {{16,20,33,53,35},33}, + {{32,20,33,53,35},33}, + {{16,20,33,53,35},34}, + {{16,36,18,49,83},80}, + {{16,36,18,49,83},81}, + {{16,36,18,49,53},48}, + {{16,36,18,49,53},49}, + {{48,36,18,49,53},49}, + {{16,36,18,49,53},51}, + {{16,36,18,21,49},49}, + {{16,36,18,53,19},17}, + {{16,52,19,33,82},80}, + {{16,52,19,33,82},81}, + {{16,52,19,33,37},32}, + {{16,52,19,33,37},33}, + {{32,52,19,33,37},33}, + {{16,52,19,33,37},34}, + {{16,52,35,18,81},80}, + {{16,52,35,18,81},81}, + {{16,52,35,18,21},17}, + {{16,52,35,21,33},32}, + {{16,52,19,21,33},33}, + {{16,52,35,21,33},33}, + {{32,52,35,21,33},33}, + {{16,52,35,21,33},34}, + {{16,52,35,37,18},16}, + {{16,52,19,37,18},17}, + {{16,52,35,37,18},17}, + {{32,52,35,37,18},17}, + {{16,52,35,37,18},18}, + {{16,36,21,33,50},48}, + {{16,52,21,33,50},48}, + {{16,20,21,33,50},49}, + {{16,36,21,33,50},49}, + 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complexity) + * when moving to a non-full region + * While the new cell overlaps with a new region, get the new slope (derivative) at this point + * and push all preceding cell until this region is freed or the slope becomes 0 (in which case the new region is now occupied) + */ + + struct bound{ + capacity_t pos; + int_t slope_diff; + bool operator<(bound const o) const{ return pos < o.pos; } + }; + + std::priority_queue bounds; + std::vector constraining_pos; + std::vector prev_cap(1, 0), prev_dem(1, 0); + for(auto const s : sinks){ + prev_cap.push_back(s.second + prev_cap.back()); + } + for(auto const s : sources){ + prev_dem.push_back(s.second + prev_dem.back()); + } + // The sinks have enough capacity to hold the whole demand + assert(prev_cap.back() >= prev_dem.back()); + + const capacity_t min_abs_pos = 0, max_abs_pos = prev_cap.back() - prev_dem.back(); + assert(min_abs_pos <= max_abs_pos); + + auto push_bound = [&](capacity_t p, int_t s){ + assert(s >= 0); + if(p > min_abs_pos){ + bound B; + B.pos = p; + B.slope_diff = s; + bounds.push(B); + } + }; + + // Distance to the right - distance to the left + auto get_slope = [&](index_t src, index_t boundary){ + assert(boundary+1 < sinks.size()); + assert(src < sources.size()); + return std::abs(sources[src].first - sinks[boundary+1].first) - std::abs(sources[src].first - sinks[boundary].first); + }; + + capacity_t cur_abs_pos = min_abs_pos; + index_t opt_r=0, next_r=0, first_free_r=0; + + for(index_t i=0; i0){ + // Push bounds due to changing the source crossing the boundary j/j+1 + // Linear amortized complexity accross all sources (next_r grows) + // get_slope(i-1, j) - get_slope(i, j) == 0 if j >= next_r + // get_slope(i-1, j) - get_slope(i, j) == 0 if j < prev_next_r-1 + + for(index_t j=std::max(prev_next_r,1u)-1; j std::max(prev_cap[first_free_r+1] - prev_dem[i+1], min_abs_pos)){ // Absolute position that wouldn't make the cell fit in the region, and we are not in the last region yet + capacity_t end_pos = std::max(prev_cap[first_free_r+1] - prev_dem[i+1], min_abs_pos); + + int_t add_slope = get_slope(i, first_free_r); + int_t slope = add_slope; + + while(not bounds.empty() and slope >= 0 and bounds.top().pos > end_pos){ + this_abs_pos = bounds.top().pos; + slope -= bounds.top().slope_diff; + bounds.pop(); + } + if(slope >= 0){ // We still push: the cell completely escapes the region + this_abs_pos = end_pos; + push_bound(end_pos, add_slope-slope); + } + else{ // Ok, absorbed the whole slope: push what remains and we still occupy the next region + push_bound(this_abs_pos, -slope); + ++first_free_r; + } + } + cur_abs_pos = this_abs_pos; + constraining_pos.push_back(this_abs_pos); + } + + assert(constraining_pos.size() == sources.size()); + if(not constraining_pos.empty()){ + // Calculate the final constraining_pos + constraining_pos.back() = std::min(max_abs_pos, constraining_pos.back()); + } + + std::partial_sum(constraining_pos.rbegin(), constraining_pos.rend(), constraining_pos.rbegin(), [](capacity_t a, capacity_t b)->capacity_t{ return std::min(a, b); }); + + for(index_t i=0; i::max(); + + // Internal data structures + + // Priority queue element to determine the source to be used between regions + struct movable_source{ + index_t source; + float_t cost; + bool operator<(movable_source const o) const{ + return cost > o.cost // Sorted by cost + || (cost == o.cost && source < o.source); // And by index to limit the number of fractional elements between two regions + } + movable_source(index_t s, float_t c) : source(s), cost(c) {} + }; + + // Member data + + // The current state + std::vector > sr_allocations; // For each region, for each source, the capacity allocated by the region + std::vector > sr_costs; // The costs from a region to a source + std::vector s_demands; // The demands of the sources + std::vector r_capacities; // The remaining capacities of the regions + + // Shortest path data + std::vector r_costs; // The costs of allocating to a region + std::vector r_parents; // The parents of the regions i.e. the regions where we push sources first (or null_ind) + std::vector r_sources; // The source involved in these edges + std::vector arc_capacities; // The capacities of the edges to the parents, or of the region if no parent + + // Best edges data + std::vector > > best_interregions_costs; // What is the best source to move to go from region k1 to region k2? + index_t dijkstra_cnt; + + + // Helper functions + + // Number of regions + index_t region_cnt() const{ + assert(sr_costs.size() == sr_allocations.size()); + return sr_costs.size(); + } + + // Update the edge between two regions + void update_edge(index_t r1, index_t r2); + // Add a source to all heaps of a region; returns if we need to update a path + bool add_source_to_heaps(index_t r, index_t source); + // Initialize the heaps of a region + void create_heaps(index_t reg); + + // Run the shortest path algorithm to update the cost of each region + void dijkstra_update(); + + // Update the edge and returns if we need to rerun Dijkstra + bool push_edge(index_t reg, capacity_t flow); + // Updates a full path when pushing an element; returns if we need to rerun Dijkstra + bool push_path(index_t pushed_reg, capacity_t demanded, capacity_t & flow); + + public: + // Add a new source to the transportation problem; should be done in decreasing order of demand to keep low complexity + void add_source(index_t elt_ind); + + current_allocation(std::vector caps, std::vector demands, std::vector > costs) + : + sr_allocations(caps.size()), + sr_costs(costs), + s_demands(demands), + r_capacities(caps), + r_costs(caps.size(), 0.0), + r_parents(caps.size(), null_ind), + r_sources(caps.size(), null_ind), + arc_capacities(caps), + best_interregions_costs(caps.size(), std::vector >(caps.size())), + dijkstra_cnt(0) + { + assert(caps.size() > 0); + assert(costs.size() == caps.size()); + dijkstra_update(); + } + + std::vector > get_allocations() const{ return sr_allocations; } + index_t get_iterations_cnt() const { return dijkstra_cnt; } +}; + +void current_allocation::update_edge(index_t r1, index_t r2){ + while(not best_interregions_costs[r1][r2].empty() and sr_allocations[r1][best_interregions_costs[r1][r2].top().source] == 0){ + best_interregions_costs[r1][r2].pop(); + } + + if(not best_interregions_costs[r1][r2].empty()){ + // There is an edge + movable_source cur = best_interregions_costs[r1][r2].top(); + float_t new_cost = r_costs[r2] + cur.cost; + if(new_cost < r_costs[r1]){ + r_costs[r1] = cur.cost; + r_sources[r1] = cur.source; + r_parents[r1] = r2; + arc_capacities[r1] = sr_allocations[r1][cur.source]; + } + } +} + +bool current_allocation::add_source_to_heaps(index_t r, index_t source){ + bool need_rerun = false; + for(index_t i=0; i > interregion_costs(region_cnt()); + for(index_t i=0; i 0){ + for(index_t oreg=0; oreg(interregion_costs[oreg].begin(), interregion_costs[oreg].end()); + } +} + +// Returns if the path has been modified so that we would need to rerun Dijkstra +bool current_allocation::push_edge(index_t reg, capacity_t flow){ + index_t cur_source = r_sources[reg]; + + // Does this edge allocates a new source in the destination region? If yes, update the corresponding heaps + bool already_present = sr_allocations[r_parents[reg]][cur_source] > 0; + + // Deallocating from the first region is handled by the get_edge function: just substract the flow + sr_allocations[ reg ][cur_source] -= flow; + sr_allocations[r_parents[reg]][cur_source] += flow; + + assert(sr_allocations[reg][cur_source] >= 0); // The source to be pushed was indeed present in the region + assert(r_capacities[reg] == 0); // The region is full, which explains why we need to push + assert(flow <= arc_capacities[reg]); // The flow is not bigger than what can be sent + + arc_capacities[reg] = sr_allocations[reg][cur_source]; // Just update the capacity if it turns out that we don't need to run Dijkstra + + if(arc_capacities[reg] == 0){ + // The source may have been deleted from a region: rerun Dijkstra at the end + return true; + } + else if(not already_present and r_capacities[r_parents[reg]] == 0){ + // A new source is allocated to a full region: rerun Dijkstra at the end if it changed the heap's top + return add_source_to_heaps(r_parents[reg], cur_source); + } + else{ + // The edge is still present with the same cost and non-zero updated capacity + // The path still exists: no need to rerun Dijkstra yet + return false; + } +} + +void current_allocation::dijkstra_update(){ + // Simple case of the regions with remaining capacity + std::vector visited(region_cnt(), 0); + index_t visited_cnt = 0; + for(index_t i=0; i 0){ + r_costs[i] = 0.0; + arc_capacities[i] = r_capacities[i]; + + visited[i] = 1; + ++visited_cnt; + } + else{ + r_costs[i] = std::numeric_limits::infinity(); + arc_capacities[i] = 0; + } + } + // if(visited_cnt <= 0) throw std::runtime_error("Capacity problem: no region has been marked as reachable\n"); + if(visited_cnt == region_cnt()){ return; } + // Get the costs for every non-visited region + for(index_t i=0; i::infinity(); + for(index_t i=0; i 0); + assert(arc_capacities[reg] == r_capacities[reg]); + assert(r_capacities[reg] >= flow); + + // Update the capacities at the end + r_capacities[reg] -= flow; + arc_capacities[reg] -= flow; + + // The last region on the path is the one that satisfies the demand + if(r_capacities[reg] == 0){ // If we just consumed the available capacity, it becomes useful to move sources off this region: build the heap + create_heaps(reg); + rerun_dijkstra = true; + } + + assert(flow > 0); + + // If an edge changes cost or a region is full, + // we need to update the costs, parents, sources and arc_capacities using a Dijkstra + // but later + return rerun_dijkstra; +} + +void current_allocation::add_source(index_t elt_ind){ //capacity_t demand, std::vector const & costs){ + for(index_t i=0; i 0){ + // In case we modified the structures earlier + if(need_rerun){ + dijkstra_update(); + need_rerun = false; + } + + ++ dijkstra_cnt; + index_t best_reg = null_ind; + float_t best_cost = std::numeric_limits::infinity(); + for(index_t reg=0; reg 0){ + need_rerun = add_source_to_heaps(i, elt_ind) or need_rerun; + } + } + // We leave a clean set with correct paths for the next iteration + if(need_rerun) + dijkstra_update(); +} + +} // End anonymous namespace + +std::vector > transport_generic(std::vector const & capacities, std::vector const & demands, std::vector > const & costs){ + current_allocation transporter(capacities, demands, costs); + + for(index_t i=0; i const & widths, std::vector > const & ranges, std::vector bounds, std::vector const & const_slopes, std::vector & positions){ + std::sort(bounds.begin(), bounds.end()); + + struct bound{ + int_t abs_pos; + int_t slope_diff; + + bool operator<(bound const o) const{ return abs_pos < o.abs_pos; } + bound(int_t p, int_t s) : abs_pos(p), slope_diff(s) {} + }; + std::priority_queue prio_queue; + + std::vector prev_widths(widths.size()+1, 0); + std::partial_sum(widths.begin(), widths.end(), std::next(prev_widths.begin())); + + std::vector constraining_pos(widths.size()); + + int_t lower_lim = std::numeric_limits::min(); + for(index_t i=0, j=0; i 0 or prio_queue.top().abs_pos > upper_lim)){ + cur_slope -= prio_queue.top().slope_diff; + cur_pos = prio_queue.top().abs_pos; + prio_queue.pop(); + } + int_t final_abs_pos = std::max(std::min(cur_pos, upper_lim), lower_lim); + constraining_pos[i] = final_abs_pos; + if(cur_slope < 0){ + prio_queue.push(bound(final_abs_pos, -cur_slope)); + } + } + + positions.resize(constraining_pos.size()); + std::partial_sum(constraining_pos.rbegin(), constraining_pos.rend(), positions.rbegin(), [](int_t a, int_t b)->int_t{ return std::min(a,b); }); + for(index_t i=0; i const & widths, std::vector > const & ranges, std::vector const & flippables, std::vector bounds, std::vector const & const_slopes, std::vector & positions, std::vector & flippings){ + flippings = std::vector(positions.size(), 0); + return place_convex_single_row(widths, ranges, bounds, const_slopes, positions); +} + +} // Namespace coloquinte + diff --git a/coloquinte/src/orientation.cxx b/coloquinte/src/orientation.cxx new file mode 100644 index 00000000..1cd8ec21 --- /dev/null +++ b/coloquinte/src/orientation.cxx @@ -0,0 +1,166 @@ +#include "coloquinte/circuit_helper.hxx" + +#include +#include +#include + +namespace coloquinte{ +namespace gp{ + +namespace{ +index_t const null_ind = std::numeric_limits::max(); + +inline void opt_orient(netlist const & circuit, placement_t & pl, std::function)> i_coor, std::function &)> b_coor,mask_t FLIPPABLE){ + std::stack opt_cells; + for(index_t cell_ind = 0; cell_ind < circuit.cell_cnt(); ++cell_ind){ + if( (circuit.get_cell(cell_ind).attributes & FLIPPABLE) != 0) + opt_cells.push(cell_ind); + } + while(not opt_cells.empty()){ + index_t cell_ind = opt_cells.top(); opt_cells.pop(); + assert((circuit.get_cell(cell_ind).attributes & FLIPPABLE) != 0); + + // What is the current orientation? + bool old_orientation = b_coor(pl.orientations_[cell_ind]); + int_t pos = i_coor(pl.positions_[cell_ind]); + int_t size = i_coor(circuit.get_cell(cell_ind).size); + + // Check both orientations of the cell + std::vector involved_nets; + for(netlist::pin_t p : circuit.get_cell(cell_ind)){ + involved_nets.push_back(p.net_ind); + } + // Deal with cells with multiple pins in one net (uniquify) + std::sort(involved_nets.begin(), involved_nets.end()); + involved_nets.resize(std::distance(involved_nets.begin(), std::unique(involved_nets.begin(), involved_nets.end()))); + + std::int64_t p_cost = 0, n_cost = 0; + std::vector extreme_elements; + for(index_t n : involved_nets){ + std::vector other_pins; + std::vector offsets; + for(auto p : circuit.get_net(n)){ + if(p.cell_ind != cell_ind){ + other_pins.push_back(pin_1D( + p.cell_ind, + i_coor(pl.positions_[p.cell_ind]) + + (b_coor(pl.orientations_[p.cell_ind]) ? i_coor(p.offset) : i_coor(circuit.get_cell(p.cell_ind).size) - i_coor(p.offset)), + 0, // Don't care about the offset + (circuit.get_cell(p.cell_ind).attributes & FLIPPABLE) != 0) + ); + } + else{ + offsets.push_back(i_coor(p.offset)); + } + } + assert(offsets.size() > 0); + if(other_pins.size() > 0){ // Else the orientation of the cell doesn't change anything + auto minmaxC = std::minmax_element(other_pins.begin(), other_pins.end()); + auto minmaxO = std::minmax_element(offsets.begin(), offsets.end()); + p_cost += std::max(pos + *minmaxO.second, minmaxC.second->pos) - std::min(pos + *minmaxO.first, minmaxC.first->pos); + n_cost += std::max(pos + size - *minmaxO.first, minmaxC.second->pos) - std::min(pos + size - *minmaxO.second, minmaxC.first->pos); + + int_t min_pin_pos = std::min(pos + *minmaxO.second, pos + size - *minmaxO.first), + max_pin_pos = std::max(pos + *minmaxO.second, pos + size - *minmaxO.first); + + // Do the extreme elements change between the two positions? + if(minmaxC.second->movable + and (minmaxC.second->pos < max_pin_pos) + and (minmaxC.second->pos > min_pin_pos) ){ + extreme_elements.push_back(minmaxC.second->cell_ind); + } + if(minmaxC.first->movable + and (minmaxC.first->pos < max_pin_pos) + and (minmaxC.first->pos > min_pin_pos) ){ + extreme_elements.push_back(minmaxC.first->cell_ind); + } + } + } + + if(p_cost < n_cost) + b_coor(pl.orientations_[cell_ind]) = true; + if(p_cost > n_cost) + b_coor(pl.orientations_[cell_ind]) = false; + + // If we changed the orientation, check the extreme pins which changed and try their cells again + if(b_coor(pl.orientations_[cell_ind]) != old_orientation){ + std::sort(extreme_elements.begin(), extreme_elements.end()); + extreme_elements.resize(std::distance(extreme_elements.begin(), std::unique(extreme_elements.begin(), extreme_elements.end()))); + for(index_t extreme_cell : extreme_elements){ + if( (circuit.get_cell(extreme_cell).attributes & FLIPPABLE) != 0) + opt_cells.push(extreme_cell); + } + } + } +} +/* +inline void spread_orient(netlist const & circuit, placement_t & pl, std::function &)> coor, mask_t FLIPPABLE){ + std::vector weights(circuit.cell_cnt(), 0.0); + for(index_t n=0; n max_pos){ + max_pos = pos; + max_ind = p.cell_ind; + max_offs = coor(p.offset); + } + } + else{ + float_t pos = coor(pl.positions_[p.cell_ind]) + coor(pl.orientations_[p.cell_ind]) * coor(p.offset); + if(pos < min_pos){ + min_pos = pos; + min_ind = null_ind; + } + if(pos > max_pos){ + max_pos = pos; + max_ind = null_ind; + } + } + } + + float_t net_weight = circuit.get_net(n).weight; + + if(min_ind != null_ind) weights[min_ind] += net_weight * min_offs; + if(max_ind != null_ind) weights[max_ind] -= net_weight * max_offs; + } + + for(index_t c=0; c= 0.0) ? 1.0 : -1.0; + } +} +*/ +} // End anonymous namespace + +void optimize_x_orientations(netlist const & circuit, placement_t & pl){ + opt_orient(circuit, pl, [](point p) -> int_t { return p.x_; }, [](point & p) -> bool & { return p.x_; }, XFlippable); +} +void optimize_y_orientations(netlist const & circuit, placement_t & pl){ + opt_orient(circuit, pl, [](point p) -> int_t { return p.y_; }, [](point & p) -> bool & { return p.y_; }, YFlippable); +} + +// Iteratively optimize feasible orientations; performs only one pass +void optimize_exact_orientations(netlist const & circuit, placement_t & pl){ + optimize_x_orientations(circuit, pl); + optimize_y_orientations(circuit, pl); +} + +/* +void spread_orientations(netlist const & circuit, placement_t & pl){ + spread_orient(circuit, pl, [](point & p) -> float_t & { return p.x_; }, XFlippable); + spread_orient(circuit, pl, [](point & p) -> float_t & { return p.y_; }, YFlippable); +} +*/ + +} // namespace gp +} // namespace coloquinte + + diff --git a/coloquinte/src/piecewise_linear.cxx b/coloquinte/src/piecewise_linear.cxx new file mode 100644 index 00000000..83b05034 --- /dev/null +++ b/coloquinte/src/piecewise_linear.cxx @@ -0,0 +1,258 @@ + +#include "coloquinte/piecewise_linear.hxx" + +#include + +namespace coloquinte{ + +namespace{ + +struct pl_edge{ + p_v f, s; + + static void push_intersections(pl_edge a, pl_edge b, piecewise_linear_function & lf){ + // Strict, because it makes everything easier + //assert(a.f.first < b.s.first and a.s.first > b.f.first); + //assert(a.f.first < a.s.first and b.f.first < b.s.first); + assert(a.f.first <= b.s.first and a.s.first >= b.f.first); + assert(a.f.first <= a.s.first and b.f.first <= b.s.first); + + // ra = (a.s.second - a.f.second) / (a.s.first - a.f.first) + // xintersect = (yb - ya - xb * rb + xa * ra) / (ra - rb) + + double ra = static_cast(a.s.second - a.f.second) / (a.s.first - a.f.first); + double rb = static_cast(b.s.second - b.f.second) / (b.s.first - b.f.first); + + double xintersect = (b.f.second - a.f.second - rb * b.f.first + ra * a.f.first) / (ra - rb); + if( not xintersect ) return; + + int_t pos = xintersect; + if( std::ceil(xintersect) == std::floor(xintersect) ){ // Exact integer intersection + if(pos > std::max(a.f.first, b.f.first) and pos < std::min(a.s.first, b.s.first) ){ // Necessarily smaller than s.first due to the previous condition + lf.point_values.push_back(p_v(pos, a.value_at(pos))); + } + } + else{ // Non exact intersection: create two integers since I don't want to mess with floating point + int_t pos1 = pos; + int_t pos2 = pos + 1; + // Value_at is only an approximation, but it shouldn't be too bad + if(pos1 > std::max(a.f.first, b.f.first) and pos1 < std::min(a.s.first, b.s.first)) + lf.point_values.push_back(p_v(pos1, std::min(a.value_at(pos1), b.value_at(pos1)))); + if(pos2 > std::max(a.f.first, b.f.first) and pos2 < std::min(a.s.first, b.s.first)) + lf.point_values.push_back(p_v(pos2, std::min(a.value_at(pos2), b.value_at(pos2)))); + } + } + + // Lower-rounded value + int_t value_at(int_t pos) const{ + assert(pos >= f.first and pos <= s.first and s.first > f.first); + return (static_cast(f.second) * (s.first - pos) + static_cast(s.second) * (pos - f.first)) / (s.first - f.first); + } + // Lower-rounded value + int_t pos_at(int_t val) const{ + assert(val <= std::max(f.second, s.second) and val >= std::min(f.second, s.second)); + assert(f.second != s.second); + return (static_cast(f.first) * (s.second - val) + static_cast(s.first) * (val - f.second)) / (s.second - f.second); + } + + bool above(p_v const o) const{ + int_t pos = o.first; + assert(pos > f.first and pos < s.first); + return (static_cast(f.second) * (s.first - pos) + static_cast(s.second) * (pos - f.first)) > o.second * (s.first - f.first); + } + + pl_edge(p_v a, p_v b) : f(a), s(b) {} +}; +} // End anonymous namespace + +void piecewise_linear_function::add_monotone(int_t slope, int_t offset){ + for(auto & V : point_values){ + // Offset taken into account here, multiplied with the slope + V.second += slope * (V.first - point_values.front().first - offset); + } +} + +void piecewise_linear_function::add_bislope(int_t s_l, int_t s_r, int_t pos){ + //assert(pos <= point_values.back().first); + //assert(pos >= point_values.front().first); + +/* + if(pos >= point_values.back().first){ + add_monotone(s_l, pos - point_values.front().first); + } + else if(pos <= point_values.front().first){ + add_monotone(s_r, pos - point_values.front().first); + } + else{ + auto it = point_values.begin(); + while(it->first < pos){ + it->second += s_l * (it->first - pos); + ++it; + assert(it != point_values.end()); + } + if(it->first != pos){ + point_values.insert(it, p_v(pos, pl_edge(*std::prev(it), *it).value_at(pos))); + } + for(auto & V : point_values){ + if(V.first > pos) + V.second += s_r * (V.first - pos); + } + } +*/ + + auto it = std::lower_bound(point_values.begin(), point_values.end(), pos, [](p_v o, int_t v){ return o.first < v; }); + if(it != point_values.end() and it->first != pos and it != point_values.begin()){ + assert(it->first > pos); + point_values.insert(it, p_v(pos, pl_edge(*std::prev(it), *it).value_at(pos))); + } + + for(auto & V : point_values){ + if(V.first > pos) + V.second += s_r * (V.first - pos); + if(V.first < pos) + V.second += s_l * (V.first - pos); + } +} + +piecewise_linear_function::piecewise_linear_function(int_t min_def, int_t max_def){ + point_values.push_back(p_v(min_def, 0)); + point_values.push_back(p_v(max_def, 0)); +} + +piecewise_linear_function piecewise_linear_function::previous_min() const{ + + piecewise_linear_function ret; + + assert(not point_values.empty()); + + auto it = point_values.begin(); + ret.point_values.push_back(*it); + ++it; + // Use the previous minimum to detect when we find something smaller + for(; it != point_values.end(); ++it){ + int_t cur_min = ret.point_values.back().second; + assert(it->first >= ret.point_values.back().first); + if(it->second < cur_min){ + if(std::prev(it)->first != ret.point_values.back().first){ // May be equal, in which case we don't need to push anything new + int_t pos = pl_edge(*std::prev(it), *it).pos_at(cur_min); + if(pos != ret.point_values.back().first and pos != it->first){ + ret.point_values.push_back(p_v(pos, cur_min)); + } + } + ret.point_values.push_back(*it); + } + } + return ret; +} + +piecewise_linear_function piecewise_linear_function::previous_min_of_sum(piecewise_linear_function const & a, int_t shift) const{ + piecewise_linear_function ret; + + // Go to the correct definition + auto b_begin = point_values.begin(), a_begin = a.point_values.begin(); + auto b_it = b_begin, a_it = a_begin; + auto b_end = point_values.end(), a_end = a.point_values.end(); + + while(a_it != a_end){ + if(b_it == b_end or a_it->first < b_it->first+shift){ // Ok, create an edge and calculate the value + if(b_it != b_begin){ + int_t value; + if(b_it != b_end){ + pl_edge b_edge(*std::prev(b_it), *b_it); + value = b_edge.value_at(a_it->first-shift); + } + else{ + value = point_values.back().second; + } + ret.point_values.push_back(p_v(a_it->first, a_it->second + value)); + } + ++a_it; + } + else if(a_it->first > b_it->first+shift){ + if(a_it != a_begin){ + pl_edge a_edge(*std::prev(a_it), *a_it); + int_t value = a_edge.value_at(b_it->first+shift); + ret.point_values.push_back(p_v(b_it->first+shift, b_it->second + value)); + } + ++b_it; + } + else{ // if(a_it->first == b_it->first+shift){ + ret.point_values.push_back(p_v(a_it->first, a_it->second + b_it->second)); + ++a_it; + ++b_it; + } + } + + return ret.previous_min(); +} + + +int_t piecewise_linear_function::last_before(int_t pos) const{ + auto it = point_values.rbegin(); + while(it != point_values.rend()){ + if(it->first <= pos){ + if(it != point_values.rbegin() and std::prev(it)->first > pos){ // On a negative slope + return pos; + } + else{ + return it->first; // First point or not mapped to a negative slope in the original function + } + } + ++it; + } + assert(false); // We should have found it if the bound was correct +} + +int_t piecewise_linear_function::value_at(int_t pos) const{ + // First position bigger or equal than pos + auto it = std::lower_bound(point_values.begin(), point_values.end(), pos, [](p_v o, int_t v){ return o.first < v; }); + if(pos != it->first){ + assert(it != point_values.begin()); + return pl_edge(*std::prev(it), *it).value_at(pos); + } + else{ + return it->second; + } +} + +piecewise_linear_function piecewise_linear_function::piecewise_linear_function::minimum(piecewise_linear_function const & a, piecewise_linear_function const & b){ + assert(a.point_values.front().first == b.point_values.front().first); + assert(a.point_values.back().first == b.point_values.back().first); + + piecewise_linear_function ret; + auto a_it = a.point_values.begin(), b_it = b.point_values.begin(); + auto a_end = a.point_values.end(), b_end = b.point_values.end(); + + ret.point_values.push_back(p_v(a_it->first, std::min(a_it->second, b_it->second))); + + assert(std::next(a_it) != a_end and std::next(b_it) != b_end); + while(std::next(a_it) != a_end and std::next(b_it) != b_end){ + pl_edge a_edge(*a_it, *std::next(a_it)), b_edge(*b_it, *std::next(b_it)); + // Three cases: one of them always below, or both intersect + // Both intersect: we push the values when intersecting + pl_edge::push_intersections(a_edge, b_edge, ret); + + // In any case, we push the value of the one below if it finishes, and increment the iterator + if(a_edge.s.first < b_edge.s.first){ + ++a_it; + if(b_edge.above(a_edge.s)){ // We push a_edge.s + ret.point_values.push_back(a_edge.s); + } + } + else if(a_edge.s.first > b_edge.s.first){ + ++b_it; + if(a_edge.above(b_edge.s)){ // We push a_edge.s + ret.point_values.push_back(b_edge.s); + } + } + else{ + ret.point_values.push_back(p_v(a_edge.s.first, std::min(a_edge.s.second, b_edge.s.second))); + ++a_it; + ++b_it; + } + } + return ret; +} + +} // End namespace coloquinte + diff --git a/coloquinte/src/rough_legalizers.cxx b/coloquinte/src/rough_legalizers.cxx new file mode 100644 index 00000000..bc5f8aa7 --- /dev/null +++ b/coloquinte/src/rough_legalizers.cxx @@ -0,0 +1,1075 @@ + +#include "coloquinte/rough_legalizers.hxx" +#include "coloquinte/optimization_subproblems.hxx" + +#include +#include +#include +#include + +namespace coloquinte{ +namespace gp{ + +namespace{ + const capacity_t default_density_mul = 256; +} + +void region_distribution::just_uniquify(std::vector & cell_references){ + if(cell_references.size() >= 1){ + index_t j=0; + cell_ref prev_cell = cell_references[0]; + for(auto it = cell_references.begin()+1; it != cell_references.end(); ++it){ + if(it->index_in_list_ == prev_cell.index_in_list_){ + prev_cell.allocated_capacity_ += it->allocated_capacity_; + } + else{ + cell_references[j] = prev_cell; + ++j; + prev_cell = *it; + } + } + cell_references[j]=prev_cell; + cell_references.resize(j+1); + } +} + +void region_distribution::sort_uniquify(std::vector & cell_references){ + std::sort(cell_references.begin(), cell_references.end(), [](cell_ref a, cell_ref b){ return a.index_in_list_ < b.index_in_list_; }); + just_uniquify(cell_references); +} + +void region_distribution::region::uniquify_references(){ + sort_uniquify(cell_references_); +} + +void region_distribution::fractions_minimization(){ + for(region & R : placement_regions_){ + R.uniquify_references(); + } + + // Find cycles of cut cells, then find a spanning tree to reallocate the cells + // TODO +} + +void region_distribution::region::selfcheck() const{ + capacity_t total_allocated = 0; + for(cell_ref const c : cell_references_){ + total_allocated += c.allocated_capacity_; + assert(c.allocated_capacity_ > 0); + } + assert(total_allocated <= capacity_); +} + +void region_distribution::selfcheck() const{ + for(region const & R : placement_regions_){ + R.selfcheck(); + } + std::vector capacities(cell_list_.size(), 0); + for(region const & R : placement_regions_){ + for(cell_ref const C : R.cell_references_){ + capacities[C.index_in_list_] += C.allocated_capacity_; + } + } + for(index_t i=0; i < cell_list_.size(); ++i){ + assert(capacities[i] == cell_list_[i].demand_ * cell_density_mul); + } +} + +region_distribution::region::region(capacity_t cap, point pos, std::vector cells) : capacity_(cap), pos_(pos), cell_references_(cells){} + +box region_distribution::get_box(index_t x, index_t y, index_t x_cnt, index_t y_cnt) const{ + auto ret = box( + placement_area_.x_min_ + ( ((std::int64_t) (placement_area_.x_max_ - placement_area_.x_min_)) * x ) / x_cnt, + placement_area_.x_min_ + ( ((std::int64_t) (placement_area_.x_max_ - placement_area_.x_min_)) * (x+1) ) / x_cnt, + placement_area_.y_min_ + ( ((std::int64_t) (placement_area_.y_max_ - placement_area_.y_min_)) * y ) / y_cnt, + placement_area_.y_min_ + ( ((std::int64_t) (placement_area_.y_max_ - placement_area_.y_min_)) * (y+1) ) / y_cnt + ); + assert(not ret.empty()); + return ret; +} + +std::vector region_distribution::prepare_regions(index_t x_cnt, index_t y_cnt) const{ + assert(placement_area_.x_max_ > placement_area_.x_min_); + assert(placement_area_.y_max_ > placement_area_.y_min_); + + // Uses a sweepline algorithm to initialize all regions' capacities at a time, taking macros and density maps into account + + // The events in the priority queue: basically a density_limit object, but the y_min_ may be different from the original one + struct event{ + box box_; + capacity_t multiplicator_; + bool operator<(event const o) const{ + return box_.y_min_ > o.box_.y_min_ // Priority queue = highest first + or (box_.y_min_ == o.box_.y_min_ and multiplicator_ > o.multiplicator_); // Smallest density first, just because + } + event(box surface, capacity_t den) : box_(surface), multiplicator_(den) {} + event(density_limit D, capacity_t density_mul) : box_(D.box_) { + multiplicator_ = static_cast(std::ceil(D.density_ * static_cast(density_mul))); + } + }; + + struct line_y{ + int_t y_min_, y_max_; + capacity_t multiplicator_; + line_y(int_t mn, int_t mx, capacity_t cap) : y_min_(mn), y_max_(mx), multiplicator_(cap) {} + }; + + // The regions' capacities + std::vector region_caps(x_cnt * y_cnt, 0); + + std::vector x_reg_lims(x_cnt+1), y_reg_lims(y_cnt+1); + for(index_t i=0; i<=x_cnt; ++i){ + x_reg_lims[i] = placement_area_.x_min_ + ( ((std::int64_t) (placement_area_.x_max_ - placement_area_.x_min_)) * i ) / x_cnt; + } + for(index_t i=0; i<=y_cnt; ++i){ + y_reg_lims[i] = placement_area_.y_min_ + ( ((std::int64_t) (placement_area_.y_max_ - placement_area_.y_min_)) * i ) / y_cnt; + } + + //std::vector > added; + + auto add_region = [&](box bx, capacity_t d){ + /* + // Failed attempt at calculating the coordinates directly + point dims = placement_area_.dimensions(); + auto mins = point(placement_area_.x_min_, placement_area_.y_min_); + + index_t x_mn = (static_cast(bx.x_min_ - mins.x_ + 1) * x_cnt) / dims.x_, + x_mx = (static_cast(bx.x_max_ - mins.x_ - 1) * x_cnt) / dims.x_ + 1, + y_mn = (static_cast(bx.y_min_ - mins.y_ + 1) * y_cnt) / dims.y_, + y_mx = (static_cast(bx.y_max_ - mins.y_ - 1) * y_cnt) / dims.y_ + 1; + */ + + /* + // Additional debugging + for(index_t k=0; k= placement_area_.x_min_); + assert(bx.y_min_ >= placement_area_.y_min_); + assert(bx.x_max_ <= placement_area_.x_max_); + assert(bx.y_max_ <= placement_area_.y_max_); + + index_t x_mn = std::upper_bound(x_reg_lims.begin(), x_reg_lims.end(), bx.x_min_) - x_reg_lims.begin() -1, + y_mn = std::upper_bound(y_reg_lims.begin(), y_reg_lims.end(), bx.y_min_) - y_reg_lims.begin() -1, + x_mx = std::lower_bound(x_reg_lims.begin(), x_reg_lims.end(), bx.x_max_) - x_reg_lims.begin(), + y_mx = std::lower_bound(y_reg_lims.begin(), y_reg_lims.end(), bx.y_max_) - y_reg_lims.begin(); + + for(index_t x=x_mn; x cur_box = get_box(x, y, x_cnt, y_cnt); + assert(bx.intersects(cur_box)); + box inter = bx.intersection(cur_box); + point dims = inter.dimensions(); + region_caps[y*x_cnt + x] += d * static_cast(dims.x_) * static_cast(dims.y_); + } + } + }; + + // All rectangles and new rectangles are pushed there + std::priority_queue events; + + for(density_limit D : density_map_){ + // Keep only the useful parts of the rectangles to simplify the algorithm + if(D.box_.intersects(placement_area_)){ + density_limit pushed; + pushed.density_ = D.density_; + pushed.box_ = D.box_.intersection(placement_area_); + assert(not pushed.box_.empty()); // always true with this definition of intersects + events.push(event(pushed, full_density_mul)); + } + } + + // The initial sweepline, with begin and end of the line + std::map active_obstacles; + + line_y placement_begin (placement_area_.y_min_, placement_area_.y_max_, full_density_mul), + placement_end (placement_area_.y_min_, placement_area_.y_max_, 0); + + active_obstacles.insert(std::pair(placement_area_.x_min_, placement_begin)); // Full density placement area as initial object + active_obstacles.insert(std::pair(placement_area_.x_max_, placement_end)); + + + // Main loop: sweep the line on y (the line is horizontal, and moves toward bigger y) + while(not events.empty()){ + event D = events.top(); + int_t x_b=D.box_.x_min_, x_e=D.box_.x_max_; + int_t y_b=D.box_.y_min_, y_e=D.box_.y_max_; + events.pop(); + + assert(x_b >= placement_area_.x_min_); + assert(y_b >= placement_area_.y_min_); + assert(x_e <= placement_area_.x_max_); + assert(y_e <= placement_area_.y_max_); + + // For each delimitation between the bounds of the new rectangle + // If the new delimitation has higher density or this delimitation ends on y there + // Remove it, push a new event if it ends on y after this rectangle + // Else: + // Keep it, push a new event if it ends on y before this rectangle + + // Find covered or partially covered rectangles on the line (rectangles on the line don't overlap) + line_y const new_elt(y_b, y_e, D.multiplicator_); + std::vector new_delimitations; + + // First element on the line whose x_ is after our x_min (i.e. may have an intersection), and while there is an intersection + auto first_it = active_obstacles.upper_bound(x_b); + assert(first_it != active_obstacles.begin()); + assert(std::prev(first_it)->first <= x_b); + + bool currently_in = false; + for(auto it = std::prev(first_it); it != active_obstacles.end() and it->first < x_e;){ + auto next_it = std::next(it); + assert(next_it != active_obstacles.end()); + assert(it->second.y_min_ <= y_b); + assert(it->second.y_max_ >= y_b); + assert(it->first < x_e); + assert(next_it->first > x_b); + assert(next_it-> first > it->first); + + int_t x_c_min = std::max(x_b, it->first), + x_c_max = std::min(x_e, next_it->first); + assert(x_c_min < x_c_max); + // Add the area from it->second.y_min_ to D.box_.y_min_ + if(y_b > it->second.y_min_) + add_region(box(it->first, next_it->first, it->second.y_min_, y_b), it->second.multiplicator_); + it->second.y_min_ = y_b; // Now the part before has been used + + auto part_b = *it, part_e = *next_it; + + if(part_b.second.multiplicator_ > D.multiplicator_ or part_b.second.y_max_ == y_b){ // The new event is visible now + + // In case parts of the line become visible again later + if(part_b.second.y_max_ > y_e){ // Push back a new event to account for the comeback + events.push(event(box(x_c_min, x_c_max, y_e, part_b.second.y_max_), part_b.second.multiplicator_)); + } + + // Depending whether this part of the line is or is not fully covered + if(part_b.first >= x_b){ // If covered at the beginning + active_obstacles.erase(it); + } + if(part_e.first > x_e){ // If not covered at the end + auto inserted = active_obstacles.insert(std::pair(x_e, part_b.second)); + assert(inserted.second); + } + + // The events becomes visible on the line + if(not currently_in){ + auto inserted = active_obstacles.insert(std::pair(x_c_min, new_elt)); + assert(inserted.second); + } + currently_in = true; + } + else{ // The new event is not visible yet + currently_in = false; + if(part_b.second.y_max_ < y_e){ // Push back a new event + events.push(event(box(x_c_min, x_c_max, part_b.second.y_max_, y_e), D.multiplicator_)); + } + } + + it = next_it; + } + } + for(auto it=active_obstacles.begin(); std::next(it) != active_obstacles.end(); ++it){ + assert(it->second.y_max_ == placement_area_.y_max_); + add_region(box(it->first, std::next(it)->first, it->second.y_min_, it->second.y_max_), it->second.multiplicator_); + } + + std::vector ret(x_cnt*y_cnt); + for(index_t y=0; y bx = get_box(x, y, x_cnt, y_cnt); + ret[y*x_cnt + x] = region( + region_caps[y*x_cnt + x], + point(0.5f * bx.x_min_ + 0.5f * bx.x_max_, 0.5f * bx.y_min_ + 0.5f * bx.y_max_), + std::vector() + ); + } + } + return ret; +} + +void region_distribution::x_bipartition(){ + std::vector old_placement_regions = prepare_regions(2*x_regions_cnt(), y_regions_cnt()); + placement_regions_.swap(old_placement_regions); + + index_t old_x_regions_cnt = x_regions_cnt(); + index_t old_y_regions_cnt = y_regions_cnt(); + x_regions_cnt_ *= 2; + + for(index_t x=0; x < old_x_regions_cnt; ++x){ + for(index_t y=0; y < old_y_regions_cnt; ++y){ + index_t i = y * old_x_regions_cnt + x; + old_placement_regions[i].distribute_cells(get_region(2*x, y), get_region(2*x+1, y)); + } + } +} + +void region_distribution::y_bipartition(){ + std::vector old_placement_regions = prepare_regions(x_regions_cnt(), 2*y_regions_cnt()); + placement_regions_.swap(old_placement_regions); + + index_t old_x_regions_cnt = x_regions_cnt(); + index_t old_y_regions_cnt = y_regions_cnt(); + y_regions_cnt_ *= 2; + + for(index_t x=0; x < old_x_regions_cnt; ++x){ + for(index_t y=0; y < old_y_regions_cnt; ++y){ + index_t i = y * old_x_regions_cnt + x; + old_placement_regions[i].distribute_cells(get_region(x, 2*y), get_region(x, 2*y+1)); + } + } +} + +// The big awful function that handles optimal cell distribution between two regions; not meant to be called externally +void region_distribution::region::distribute_new_cells(region & region_a, region & region_b, std::vector basic_cells){ + struct cost_diff_cell : cell_ref{ + float_t marginal_cost_; + + bool operator<(cost_diff_cell const o) const{ return marginal_cost_ < o.marginal_cost_; } + cost_diff_cell(cell_ref cell, float_t cost) : cell_ref(cell), marginal_cost_(cost) {} + }; + + std::vector cells; + for(cell_ref const c : basic_cells){ + cells.push_back(cost_diff_cell(c, region_a.distance(c) - region_b.distance(c))); + } + + // Cells trending toward a first + std::sort(cells.begin(), cells.end());//, [](cell_ref const c1, cell_ref const c2) -> bool{ return c1.marginal_cost_ < c2.marginal_cost_; }); + + index_t preference_limit=0, // First cell that would rather go to b (or cells.size()) + a_capacity_limit=0, // After the last cell that region_a can take entirely (or 0) + b_capacity_limit=cells.size(); // Last cell (but first in the vector) that region_b can take entirely (or cells.size()) + + capacity_t remaining_capacity_a = region_a.capacity_, remaining_capacity_b = region_b.capacity_; + for(;preference_limit < cells.size() && cells[preference_limit].marginal_cost_ <= 0.0; ++preference_limit); + + { // Block + capacity_t remaining_cap_a = region_a.capacity_; + index_t i=0; + while(i= 0){ + a_capacity_limit = i+1; + remaining_capacity_a = remaining_cap_a; + } + ++i; + } + } // Block + + { // Block + capacity_t remaining_cap_b = region_b.capacity_; + index_t i=cells.size(); + while(i>0){ + --i; + remaining_cap_b -= cells[i].allocated_capacity_; + if(remaining_cap_b >= 0){ + b_capacity_limit = i; + remaining_capacity_b = remaining_cap_b; + } + } + } // Block + + std::vector & cells_a_side = region_a.cell_references_; + std::vector & cells_b_side = region_b.cell_references_; + cells_a_side.clear(); + cells_b_side.clear(); + if(preference_limit >= b_capacity_limit and preference_limit <= a_capacity_limit){ + cells_a_side.insert(cells_a_side.end(), cells.begin(), cells.begin() + preference_limit); + cells_b_side.insert(cells_b_side.end(), cells.begin() + preference_limit, cells.end()); + } + else{ + index_t cut_position; + capacity_t allocated_to_a_part; + + // Where do we cut? + if(preference_limit < b_capacity_limit){ // Pack on b + cut_position = b_capacity_limit-1; // Exists since preference_limit >= 0 + allocated_to_a_part = cells[cut_position].allocated_capacity_ - remaining_capacity_b; + } + else{ // Pack on a + // if(preference_limit > a_capacity_limit) + cut_position = a_capacity_limit; // Necessarily a correct position since preference_limits <= cells.size() + allocated_to_a_part = remaining_capacity_a; + } + + cells_a_side.reserve( cut_position +1); + cells_b_side.reserve(cells.size()-cut_position +1); + + cells_a_side.insert(cells_a_side.end(), cells.begin(), cells.begin() + cut_position); + + cell_ref cell_cut_a = cells[cut_position], cell_cut_b = cells[cut_position]; + cell_cut_a.allocated_capacity_ = allocated_to_a_part; + cell_cut_b.allocated_capacity_ -= allocated_to_a_part; + if(cell_cut_a.allocated_capacity_ > 0){ cells_a_side.push_back(cell_cut_a); } + if(cell_cut_b.allocated_capacity_ > 0){ cells_b_side.push_back(cell_cut_b); } + + cells_b_side.insert(cells_b_side.end(), cells.begin() + cut_position+1, cells.end()); + } +} + +void region_distribution::region::distribute_cells(region & a, region & b) const{ + distribute_new_cells(a, b, cell_references_); + assert(a.allocated_capacity() + b.allocated_capacity() == allocated_capacity()); + assert(a.capacity() + b.capacity() == capacity()); +} + +void region_distribution::region::redistribute_cells(region & Ra, region & Rb){ + if(Ra.capacity() > 0 and Rb.capacity() > 0){ + std::vector cells; + cells.reserve(Ra.cell_references_.size()+Rb.cell_references_.size()); + cells.insert(cells.end(), Ra.cell_references_.begin(), Ra.cell_references_.end()); + cells.insert(cells.end(), Rb.cell_references_.begin(), Rb.cell_references_.end()); + + distribute_new_cells(Ra, Rb, cells); + } +} + +void region_distribution::region::distribute_new_cells(std::vector > regions, std::vector all_cells){ + std::vector caps; + for(region_distribution::region & R : regions){ + caps.push_back(R.capacity_); + R.cell_references_.clear(); + } + + sort_uniquify(all_cells); + std::sort(all_cells.begin(), all_cells.end(), [](cell_ref const a, cell_ref const b){ return a.allocated_capacity_ > b.allocated_capacity_ or (a.allocated_capacity_ == b.allocated_capacity_ and a.pos_.x_+a.pos_.y_ < b.pos_.x_+b.pos_.y_); }); + + std::vector > costs(regions.size()); + std::vector demands; + for(auto const C : all_cells){ + for(index_t r=0; r > res = transport_generic(caps, demands, costs); + + assert(res.size() == regions.size()); + for(index_t i=0; i 0){ + cell_ref C = all_cells[j]; + C.allocated_capacity_ = res[i][j]; + regions[i].get().cell_references_.push_back(C); + } + } + } + +} + +void region_distribution::region::redistribute_cells(std::vector > regions){ + if(regions.size() > 1){ + std::vector all_cells; + for(region_distribution::region & R : regions){ + all_cells.insert(all_cells.end(), R.cell_references_.begin(), R.cell_references_.end()); + } + distribute_new_cells(regions, all_cells); + } +} + +void region_distribution::region::distribute_cells(std::vector > regions) const{ + distribute_new_cells(regions, cell_references_); +} + +void region_distribution::multipartition(index_t x_width, index_t y_width){ + assert(x_width > 0 and y_width > 0); + + std::vector old_placement_regions = prepare_regions(x_width*x_regions_cnt(), y_width*y_regions_cnt()); + placement_regions_.swap(old_placement_regions); + + index_t old_x_regions_cnt = x_regions_cnt(); + index_t old_y_regions_cnt = y_regions_cnt(); + x_regions_cnt_ *= x_width; + y_regions_cnt_ *= y_width; + + for(index_t x=0; x < old_x_regions_cnt; ++x){ + for(index_t y=0; y < old_y_regions_cnt; ++y){ + + index_t i = y * old_x_regions_cnt + x; + std::vector > destination_regions; + + capacity_t tot_cap = 0; + // Take the new regions + for(index_t l_x=0; l_x(cur_reg)); + tot_cap += cur_reg.capacity(); + } + } + // Distribute the cells + old_placement_regions[i].distribute_cells(destination_regions); + assert(tot_cap == old_placement_regions[i].capacity()); + } + } +} + +void region_distribution::redo_bipartitions(){ + // This function performs optimization between neighbouring regions in various directions + // The most important feature is diagonal optimization, since it is not done during partitioning + redo_diagonal_bipartitions(); + redo_adjacent_bipartitions(); +} + +void region_distribution::redo_diagonal_bipartitions(){ + // Take four cells at a time and optimize them + auto const optimize_quad_diag = [&](index_t x, index_t y){ + region::redistribute_cells(get_region(x, y), get_region(x+1, y+1)); + region::redistribute_cells(get_region(x+1, y), get_region(x, y+1)); + }; + + // x is the fast index: the innermost loop operates on it + auto const optimize_diag_on_y = [&](index_t y){ + for(index_t x=0; x+1 < x_regions_cnt(); x+=2){ + if(x+2 < x_regions_cnt()){ + // x odd + optimize_quad_diag(x+1, y); + } + // x even + optimize_quad_diag(x, y); + } + }; + + // OpenMP doesn't allow y+1 < y_regions_cnt(), but anyway y_regions_cnt() >= 1 + #pragma omp parallel for + for(index_t y=0; y < y_regions_cnt()-1; y+=2){ + // y even + optimize_diag_on_y(y); + } + #pragma omp parallel for + for(index_t y=1; y < y_regions_cnt()-1; y+=2){ + // y odd + optimize_diag_on_y(y); + } +} + +void region_distribution::redo_adjacent_bipartitions(){ + auto const optimize_H = [&](index_t x, index_t y){ + region::redistribute_cells(get_region(x, y), get_region(x+1, y)); + }; + auto const optimize_V = [&](index_t x, index_t y){ + region::redistribute_cells(get_region(x, y), get_region(x, y+1)); + }; + + // x bipartitions + #pragma omp parallel for + for(index_t y=0; y < y_regions_cnt(); ++y){ + for(index_t x=0; x+1 < x_regions_cnt(); x+=2){ + if(x+2 < x_regions_cnt()){ + // x odd + optimize_H(x+1, y); + } + // x even + optimize_H(x, y); + } + } + // y bipartitions + #pragma omp parallel for + for(index_t x=0; x < x_regions_cnt(); ++x){ + for(index_t y=0; y+1 < y_regions_cnt(); y+=2){ + if(y+2 < y_regions_cnt()){ + // y odd + optimize_V(x, y+1); + } + // y even + optimize_V(x, y); + } + } +} + +void region_distribution::redo_multipartitions(index_t x_width, index_t y_width){ + if(x_width < 2 and y_width < 2) throw std::runtime_error("Multipartitioning requires an optimization window of 2 or more\n"); + + auto const reoptimize_group = [&](index_t x, index_t y){ + std::vector > to_opt; + for(index_t l_x=x; l_x < std::min(x+x_width, x_regions_cnt()); ++l_x){ + for(index_t l_y=y; l_y < std::min(y+y_width, y_regions_cnt()); ++l_y){ + to_opt.push_back(std::reference_wrapper(get_region(l_x, l_y))); + } + } + region::redistribute_cells(to_opt); + }; + + auto const optimize_on_y = [&](index_t y){ + for(index_t x=0; x < x_regions_cnt(); x+=x_width){ + if(x+x_width < x_regions_cnt()){ + reoptimize_group(x+x_width/2, y); + } + reoptimize_group(x, y); + } + }; + + for(index_t y=0; y < y_regions_cnt(); y+=y_width){ + if(y+y_width < y_regions_cnt()){ + optimize_on_y(y+y_width/2); + } + optimize_on_y(y); + } +} + +inline void region_distribution::region::distribute_new_cells(std::vector > regions, std::vector cells, std::function)> coord){ + // Gather all cells and the useful regions + std::vector > all_regions; + + for(region & reg_ref : regions){ + if(reg_ref.capacity() > 0){ + cells.insert(cells.end(), reg_ref.cell_references_.begin(), reg_ref.cell_references_.end()); + reg_ref.cell_references_.clear(); + all_regions.push_back(std::reference_wrapper(reg_ref)); + } + else{ + assert(reg_ref.cell_references_.empty()); + } + } + + // Sort the regions by coordinate + std::sort(all_regions.begin(), all_regions.end(), [&](std::reference_wrapper const a, std::reference_wrapper const b){ return coord(a.get().pos_) < coord(b.get().pos_); }); + // And the cells + std::sort(cells.begin(), cells.end(), [&](cell_ref const a, cell_ref const b){ return coord(a.pos_) < coord(b.pos_); }); + just_uniquify(cells); + + std::vector sources, sinks; + for(cell_ref const c : cells){ + sources.push_back(t1D_elt(static_cast(coord(c.pos_)), c.allocated_capacity_)); + } + for(region & reg_ref : all_regions){ + sinks.push_back(t1D_elt(static_cast(coord(reg_ref.pos_)), reg_ref.capacity())); + } + + std::vector const positions = transport_1D(sources, sinks); + + std::vector prev_cap(1, 0); + for(t1D_elt e: sinks){ + assert(e.second > 0); + prev_cap.push_back(prev_cap.back() + e.second); + } + + for(index_t i=0; i= 0); + assert(sources[i].second > 0); + if(i>0) + assert(sources[i-1].second + positions[i-1] <= positions[i]); + } + + for(index_t i=0, r=0; i 0){ + while(prev_cap[r+1] <= cur_pos){ // After the end of region r + ++r; + } + cell_ref new_c = c; + capacity_t used_cap = std::min(prev_cap[r+1] - cur_pos, cur_cap); + new_c.allocated_capacity_ = used_cap; + assert(used_cap >= 0); + if(used_cap > 0){ + all_regions[r].get().cell_references_.push_back(new_c); + } + cur_pos += used_cap; + cur_cap -= used_cap; + } + } +} + +inline void region_distribution::region::redistribute_cells(std::vector > & regions, std::function)> coord){ + std::vector cells; + for(region & reg_ref : regions){ + if(reg_ref.capacity() > 0){ + cells.insert(cells.end(), reg_ref.cell_references_.begin(), reg_ref.cell_references_.end()); + reg_ref.cell_references_.clear(); + } + else{ + assert(reg_ref.cell_references_.empty()); + } + } + distribute_new_cells(regions, cells, coord); +} + +void region_distribution::redo_line_partitions(){ + // Optimize a single line or column + #pragma omp parallel for + for(index_t y=0; y > regs; + for(index_t x=0; x(get_region(x, y))); + } + region::redistribute_cells(regs, [](point p){ return p.x_; }); + } + #pragma omp parallel for + for(index_t x=0; x > regs; + for(index_t y=0; y(get_region(x, y))); + } + region::redistribute_cells(regs, [](point p){ return p.y_; }); + } +} + +void region_distribution::x_resize(index_t sz){ + assert(sz > 0); + std::vector old_placement_regions = prepare_regions(sz, y_regions_cnt()); + placement_regions_.swap(old_placement_regions); + + index_t old_x_regions_cnt = x_regions_cnt(); + + x_regions_cnt_ = sz; + + #pragma omp parallel for + for(index_t y=0; y cells; + for(index_t x=0; x const & cur = old_placement_regions[y*old_x_regions_cnt + x].cell_references_; + cells.insert(cells.end(), cur.begin(), cur.end()); + } + + std::vector > regs; + for(index_t x=0; x(get_region(x, y))); + } + region::distribute_new_cells(regs, cells, [](point p){ return p.x_; }); + } +} + +void region_distribution::y_resize(index_t sz){ + assert(sz > 0); + std::vector old_placement_regions = prepare_regions(x_regions_cnt(), sz); + placement_regions_.swap(old_placement_regions); + + index_t old_y_regions_cnt = y_regions_cnt(); + + y_regions_cnt_ = sz; + + #pragma omp parallel for + for(index_t x=0; x cells; + for(index_t y=0; y const & cur = old_placement_regions[y*x_regions_cnt() + x].cell_references_; + cells.insert(cells.end(), cur.begin(), cur.end()); + } + + std::vector > regs; + for(index_t y=0; y(get_region(x, y))); + } + region::distribute_new_cells(regs, cells, [](point p){ return p.y_; }); + } +} + +void region_distribution::redo_diag_partitions(index_t len){ + if(x_regions_cnt() <= 1 or y_regions_cnt() <= 1) return; + + auto const reoptimize_rdiag = [&](index_t x_b, index_t y_b){ + index_t max_delta = std::min(x_regions_cnt()-x_b, y_regions_cnt()-y_b); + for(index_t delta=0; delta+len/2 > to_opt; + for(index_t m=0; m < std::min(max_delta-delta, len); ++m){ + to_opt.push_back(std::reference_wrapper(get_region(x_b+delta+m, y_b+delta+m))); + } + region::redistribute_cells(to_opt); + } + }; + auto const reoptimize_ldiag = [&](index_t x_b, index_t y_b){ + index_t max_delta = std::min(x_regions_cnt()-x_b, y_b+1); + for(index_t delta=0; delta+len/2 > to_opt; + for(index_t m=0; m < std::min(max_delta-delta, len); ++m){ + to_opt.push_back(std::reference_wrapper(get_region(x_b+delta+m, y_b-delta-m))); + } + region::redistribute_cells(to_opt); + } + }; + + for(index_t y=y_regions_cnt()-2; y >= 1; --y) + reoptimize_rdiag(0, y); + for(index_t x=0; x+1 placement_area, + netlist const & circuit, placement_t const & pl, + std::vector const & density_map, bool full_density + ): + x_regions_cnt_(1), + y_regions_cnt_(1), + placement_area_(placement_area), + density_map_(density_map), + full_density_mul(default_density_mul) + { + + capacity_t tot_area = 0; + for(index_t i=0; i >(pl.positions_[i]) + 0.5f * static_cast >(c.size), i)); + tot_area += c.area; + } + else{ // Create an obstacle corresponding to the macro + auto pos = pl.positions_[i]; + auto end = pos + c.size; + density_limit macro; + macro.box_ = box(pos.x_, end.x_, pos.y_, end.y_); + macro.density_ = 0.0f; + density_map_.push_back(macro); + } + } + + placement_regions_ = prepare_regions(1, 1); + + if(full_density){ + cell_density_mul = default_density_mul; + } + else{ + cell_density_mul = placement_regions_[0].capacity() / tot_area; + if(cell_density_mul < full_density_mul){ + throw std::runtime_error("The density required by the obstacles is above 1"); + } + } + + for(index_t i=0; i placement_area, netlist const & circuit, placement_t const & pl, std::vector const & density_map){ + return region_distribution(placement_area, circuit, pl, density_map, true); +} +region_distribution region_distribution::uniform_density_distribution(box placement_area, netlist const & circuit, placement_t const & pl, std::vector const & density_map){ + return region_distribution(placement_area, circuit, pl, density_map, false); +} + +void region_distribution::update(netlist const & circuit, placement_t const & pl){ + for(movable_cell & c : cell_list_){ + index_t i = c.index_in_placement_; + c.pos_ = static_cast >(pl.positions_[i]) + 0.5f * static_cast >(circuit.get_cell(i).size); + } + for(region & R : placement_regions_){ + for(cell_ref & c : R.cell_references_){ + c.pos_ = cell_list_[c.index_in_list_].pos_; + } + } +} + +std::vector region_distribution::export_positions() const{ + std::vector > weighted_pos(cell_list_.size(), point(0.0, 0.0)); + + for(region const & R : placement_regions_){ + for(cell_ref C : R.cell_references_){ + weighted_pos[C.index_in_list_] = weighted_pos[C.index_in_list_] + static_cast(C.allocated_capacity_) * R.pos_; + } + } + + std::vector ret; + for(index_t i=0; i(1.0) / static_cast(C.demand_ * cell_density_mul) ) * weighted_pos[i]; + ret.push_back(C); + } + return ret; +} + +struct OSRP_task{ + float_t size; + float_t goal_pos; + float_t weight; + index_t orig; + OSRP_task(float_t p, float_t s, float_t w, index_t i) : size(s), goal_pos(p), weight(w), orig(i) {} + OSRP_task(){} +}; + +std::vector get_optimal_quadratic_pos(std::vector cells, float_t pos_begin, float_t pos_end){ + + if(cells.empty()){ return std::vector(); } + + struct OSRP_cluster{ + index_t begin, end; + float_t pos, size; + float_t weight; + OSRP_cluster(index_t b, index_t e, float_t p, float_t s, float_t w) : begin(b), end(e), pos(p), size(s), weight(w) {} + void merge(OSRP_cluster const o){ + begin = o.begin; + pos = (weight * pos + o.weight * o.pos) / (weight + o.weight); + size += o.size; + weight += o.weight; + } + }; + + std::sort(cells.begin(), cells.end(), [](OSRP_task a, OSRP_task b){ return a.goal_pos < b.goal_pos; }); + + // Modify the goal pos to get absolute goal positions between pos_begin and pos_end - sum_sizes + float_t sum_sizes = 0.0; + for(auto & c : cells){ + c.goal_pos -= sum_sizes; + sum_sizes += c.size; + } + float_t abs_begin = pos_begin + 0.5 * cells[0].size; // First cell must be far enough from the beginning + float_t abs_end = pos_end - sum_sizes + 0.5 * cells[0].size; // Last cell must be far enough from the end + for(auto & c : cells){ + c.goal_pos = std::max(c.goal_pos, abs_begin); + c.goal_pos = std::min(c.goal_pos, abs_end); + } + + std::vector clusters; + for(index_t i=0; i= to_add.pos)){ + to_add.merge(clusters.back()); + clusters.pop_back(); + } + + clusters.push_back(to_add); + } + + std::vector ret(cells.size(), 0.0); + // For every cell, recover its true position from the absolute position of a cluster + float_t sum_prev_sizes = 0.0; + for(OSRP_cluster cur : clusters){ + for(index_t i=cur.begin; i <= cur.end; ++i){ + ret[cells[i].orig] = cur.pos + sum_prev_sizes; + sum_prev_sizes += cells[i].size; + } + } + return ret; +} + +std::vector region_distribution::export_spread_positions_quadratic() const{ + std::vector > weighted_pos(cell_list_.size(), point(0.0, 0.0)); + + for(index_t y=0; y(R.capacity()); + box surface = static_cast >(get_box(x, y, x_regions_cnt(), y_regions_cnt())); + + std::vector x_cells(n), y_cells(n); + for(index_t i=0; i pt = R.cell_references_[i].pos_; + float_t cap = static_cast(R.cell_references_[i].allocated_capacity_); + x_cells[i] = OSRP_task(pt.x_, cap/total_capacity * (surface.x_max_ - surface.x_min_), 1.0, i); + y_cells[i] = OSRP_task(pt.y_, cap/total_capacity * (surface.y_max_ - surface.y_min_), 1.0, i); + } + std::vector x_ret = get_optimal_quadratic_pos(x_cells, surface.x_min_, surface.x_max_); + std::vector y_ret = get_optimal_quadratic_pos(y_cells, surface.y_min_, surface.y_max_); + + for(index_t i=0; i(R.cell_references_[i].allocated_capacity_) + * point(x_ret[i], y_ret[i]); + } + } + } + + std::vector ret; + for(index_t i=0; i 0); + C.pos_ = ( static_cast(1.0) / static_cast(C.demand_) ) * weighted_pos[i]; + assert(std::isfinite(C.pos_.x_) and std::isfinite(C.pos_.y_)); + ret.push_back(C); + } + return ret; +} + +std::vector region_distribution::export_spread_positions_linear() const{ + std::vector > weighted_pos(cell_list_.size(), point(0.0, 0.0)); + + for(index_t y=0; y(R.capacity()); + box surface = static_cast >(get_box(x, y, x_regions_cnt(), y_regions_cnt())); + assert(surface.x_max_ > surface.x_min_ and surface.y_max_ > surface.y_min_); + + std::vector > x_cells, y_cells; + + for(auto const C : R.cell_references_){ + float_t cap = static_cast(C.allocated_capacity_); + float_t x_cap_prop = cap/total_capacity * (surface.x_max_ - surface.x_min_), + y_cap_prop = cap/total_capacity * (surface.y_max_ - surface.y_min_); + x_cells.push_back(legalizable_task(x_cap_prop, C.pos_.x_, C.index_in_list_)); + y_cells.push_back(legalizable_task(y_cap_prop, C.pos_.y_, C.index_in_list_)); + } + + OSRP_leg x_leg(surface.x_min_, surface.x_max_), y_leg(surface.y_min_, surface.y_max_); + + std::sort(x_cells.begin(), x_cells.end()); + for(legalizable_task & C : x_cells) + C.target_pos -= 0.5 * C.width; + for(legalizable_task & C : x_cells) + x_leg.push(C); + auto x_pl = x_leg.get_placement(); + for(index_t i=0; i(x_cells[i].width * total_capacity / (surface.x_max_ - surface.x_min_)); + } + + std::sort(y_cells.begin(), y_cells.end()); + for(legalizable_task & C : y_cells) + C.target_pos -= 0.5 * C.width; + for(legalizable_task & C : y_cells) + y_leg.push(C); + auto y_pl = y_leg.get_placement(); + for(index_t i=0; i(y_cells[i].width * total_capacity / (surface.y_max_ - surface.y_min_)); + } + } + } + + std::vector ret; + for(index_t i=0; i 0); + C.pos_ = ( 1.0f / static_cast(C.demand_ * cell_density_mul) ) * weighted_pos[i]; + assert(std::isfinite(C.pos_.x_) and std::isfinite(C.pos_.y_)); + ret.push_back(C); + } + return ret; +} + +float_t region_distribution::region::cost() const{ + float_t res = 0.0; + for(cell_ref const C : cell_references_){ + res += (std::abs(C.pos_.x_-pos_.x_) + std::abs(C.pos_.y_-pos_.y_)) * static_cast(C.allocated_capacity_); + } + return res; +} + +float_t region_distribution::cost() const{ + float_t res = 0.0; + capacity_t tot_cap = 0; + for(region const & R : placement_regions_){ + res += R.cost(); + tot_cap += R.allocated_capacity(); + } + // Average over the cells' areas + return res / static_cast(tot_cap); +} + +} // Namespace gp +} // Namespace coloquinte + diff --git a/coloquinte/src/row_opt.cxx b/coloquinte/src/row_opt.cxx new file mode 100644 index 00000000..5b67410b --- /dev/null +++ b/coloquinte/src/row_opt.cxx @@ -0,0 +1,599 @@ + +#include "coloquinte/detailed.hxx" +#include "coloquinte/circuit_helper.hxx" + +#include "coloquinte/optimization_subproblems.hxx" +#include "coloquinte/union_find.hxx" +#include "coloquinte/piecewise_linear.hxx" + +#include + +#include + +namespace coloquinte{ +namespace dp{ + +namespace{ + +struct minmax{ + int_t min, max; + minmax(){} + minmax(int_t f, int_t s) : min(f), max(s){} + void merge(minmax const o){ + min = std::min(min, o.min); + max = std::max(max, o.max); + } + void merge(int_t const o){ + merge(minmax(o, o)); + } +}; + +struct order_gettr{ + index_t cell_ind, seq_order; + bool operator<(order_gettr const o) const{ return cell_ind < o.cell_ind; } + bool operator<(index_t const o) const{ return cell_ind < o; } + order_gettr(index_t c, index_t i) : cell_ind(c), seq_order(i) {} +}; + +std::vector get_sorted_ordered_cells(std::vector const & cells){ + std::vector ret; + for(index_t i=0; i get_unique_nets(netlist const & circuit, std::vector const & cells){ + std::vector involved_nets; + for(index_t c : cells){ + for(netlist::pin_t p : circuit.get_cell(c)){ + involved_nets.push_back(p.net_ind); + } + } + // Uniquify the nets + std::sort(involved_nets.begin(), involved_nets.end()); + involved_nets.resize(std::distance(involved_nets.begin(), std::unique(involved_nets.begin(), involved_nets.end()))); + return involved_nets; +} + +struct Hnet_group{ + struct Hpin{ + index_t cell_index; // Not indexes in the circuit!!! Rather in the internal algorithm + minmax offset; + bool operator<(Hpin const o) const{ return cell_index < o.cell_index; } + }; + struct Hnet{ + bool has_ext_pins; + minmax ext_pins; + int_t weight; + + Hnet(){ + has_ext_pins = false; + ext_pins = minmax(std::numeric_limits::max(), 0); + weight = 1; + } + }; + + std::vector net_limits; + std::vector nets; + + std::vector pins; + std::vector cell_widths; + + Hnet_group(){ + net_limits.push_back(0); + } + + void add_net(std::vector const added_pins, int_t weight){ + Hnet cur_net; + cur_net.weight = weight; + std::vector new_pins; + for(auto const p : added_pins){ + if(p.movable){ + Hpin new_pin; + new_pin.cell_index = p.cell_ind; + new_pin.offset = minmax(p.offs, p.offs); + new_pins.push_back(new_pin); + } + else{ + cur_net.has_ext_pins = true; + + cur_net.ext_pins.merge(p.pos); + } + } + std::sort(new_pins.begin(), new_pins.end()); + + if(not new_pins.empty()){ // Possible when generating from a Steiner topology + // Uniquify just in case there are several pins on the net on a single cell + index_t j=0; + auto prev_pin = new_pins[0]; + for(auto it = new_pins.begin()+1; it != new_pins.end(); ++it){ + if(it->cell_index == prev_pin.cell_index){ + prev_pin.offset.merge(it->offset); + } + else{ + new_pins[j] = prev_pin; + ++j; + prev_pin = *it; + } + } + new_pins[j]=prev_pin; + new_pins.resize(j+1); + nets.push_back(cur_net); + net_limits.push_back(net_limits.back() + new_pins.size()); + pins.insert(pins.end(), new_pins.begin(), new_pins.end()); + } + } + + std::int64_t get_cost(std::vector const & pos) const{ + std::int64_t cost=0; + for(index_t n=0; n::max(), std::numeric_limits::min()); + if(cur_net.has_ext_pins){ + mm = cur_net.ext_pins; + } + + assert(net_limits[n+1] > net_limits[n]); + for(index_t p=net_limits[n]; p(cur_net.weight) * (mm.max - mm.min); + } + return cost; + } + + std::int64_t get_cost(std::vector const & pos, std::vector const & flip) const{ + std::int64_t cost=0; + for(index_t n=0; n::max(), std::numeric_limits::min()); + if(cur_net.has_ext_pins){ + mm = cur_net.ext_pins; + } + + assert(net_limits[n+1] > net_limits[n]); + for(index_t p=net_limits[n]; p(cur_net.weight) * (mm.max - mm.min); + } + return cost; + } + +}; + +Hnet_group get_B2B_netgroup(netlist const & circuit, detailed_placement const & pl, std::vector const & cells){ + + std::vector cells_in_row = get_sorted_ordered_cells(cells); + std::vector involved_nets = get_unique_nets(circuit, cells); + + Hnet_group ret; + for(index_t c : cells) + ret.cell_widths.push_back(circuit.get_cell(c).size.x_); + + for(index_t n : involved_nets){ + std::vector cur_pins = get_pins_1D(circuit, pl.plt_, n).x_; + for(pin_1D & p : cur_pins){ + auto it = std::lower_bound(cells_in_row.begin(), cells_in_row.end(), p.cell_ind); + if(it != cells_in_row.end() and it->cell_ind == p.cell_ind){ + p.cell_ind = it->seq_order; + } + else{ // Found a pin which remains fixed for this round + p.movable = false; + } + } + ret.add_net(cur_pins, circuit.get_net(n).weight); + } + + return ret; +} + +Hnet_group get_RSMT_netgroup(netlist const & circuit, detailed_placement const & pl, std::vector const & cells){ + + std::vector cells_in_row = get_sorted_ordered_cells(cells); + std::vector involved_nets = get_unique_nets(circuit, cells); + + Hnet_group ret; + for(index_t c : cells) + ret.cell_widths.push_back(circuit.get_cell(c).size.x_); + + for(index_t n : involved_nets){ + auto vpins = get_pins_2D(circuit, pl.plt_, n); + for(auto & p : vpins){ + auto it = std::lower_bound(cells_in_row.begin(), cells_in_row.end(), p.cell_ind); + if(it != cells_in_row.end() and it->cell_ind == p.cell_ind){ + p.cell_ind = it->seq_order; + } + else{ + p.movable = false; + } + } + + std::vector > pin_locations; + for(auto p : vpins) + pin_locations.push_back(p.pos); + auto const Htopo = get_RSMT_topology(pin_locations, 8).x_; + + // In the horizontal topology, we transform the parts of the tree that are on the row into HPWL subnets + // Two pins sharing an edge are in the same subnet if one of them is on the row: use union-find + union_find UF(vpins.size()); + for(auto E : Htopo){ + if( vpins[E.first].movable or vpins[E.second].movable){ + UF.merge(E.first, E.second); + } + } + + std::vector > connex_comps(vpins.size()); + for(index_t i=0; i const & permutation, std::vector & positions, std::vector > const & cell_ranges){ + // Get the widths of the cells in row order + std::vector loc_widths(permutation.size()); + std::vector > loc_ranges(permutation.size()); + for(index_t i=0; i bounds; + std::vector right_slopes(permutation.size(), 0); + for(index_t n=0; n::max(), lst_c=0; + int_t fst_pin_offs=0, lst_pin_offs=0; + assert(nets.net_limits[n+1] > nets.net_limits[n]); + auto cur_net = nets.nets[n]; + for(index_t p=nets.net_limits[n]; p= lst_c){ + lst_c = cur_cell; + lst_pin_offs = nets.pins[p].offset.max; + } + } + if(cur_net.has_ext_pins){ + bounds.push_back(cell_bound(fst_c, cur_net.ext_pins.min - fst_pin_offs, cur_net.weight)); + bounds.push_back(cell_bound(lst_c, cur_net.ext_pins.max - lst_pin_offs, cur_net.weight)); + + right_slopes[lst_c] += cur_net.weight; + } + else{ + right_slopes[lst_c] += cur_net.weight; + right_slopes[fst_c] -= cur_net.weight; + } + } + + bool feasible = place_convex_single_row(loc_widths, loc_ranges, bounds, right_slopes, positions); + + auto permuted_positions = positions; + for(index_t i=0; i::max(); // Infeasible: return a very big cost +} + +// TODO: take modified order relative to the obstacles into account +inline std::int64_t optimize_noncvx_sequence(Hnet_group const & nets, std::vector const & permutation, std::vector & positions, std::vector & flippings, std::vector const & flippability, std::vector > const & cell_ranges){ + // Get the widths of the cells in row order + std::vector loc_widths(permutation.size()); + std::vector loc_flipps(permutation.size()); + std::vector > loc_ranges(permutation.size()); + for(index_t i=0; i::min(); + for(index_t i=0; i::max(); + for(index_t i=loc_ranges.size(); i>0; --i){ + max_limit = std::min(loc_ranges[i-1].second, max_limit); + max_limit -= loc_widths[i-1]; + loc_ranges[i-1].second = max_limit; + } + + for(index_t i=0; i loc_ranges[i].second){ + return std::numeric_limits::max(); // Infeasible: return a very big cost + } + } + + std::vector unflipped_cost_functions, flipped_cost_functions; + for(index_t i=0; i::max(), lst_c=0; + int_t fst_pin_offs_mn=0, lst_pin_offs_mn=0, + fst_pin_offs_mx=0, lst_pin_offs_mx=0; + + assert(nets.net_limits[n+1] > nets.net_limits[n]); + auto cur_net = nets.nets[n]; + for(index_t p=nets.net_limits[n]; p= lst_c){ + lst_c = cur_cell; + lst_pin_offs_mn = nets.pins[p].offset.min; + lst_pin_offs_mx = nets.pins[p].offset.max; + } + } + if(cur_net.has_ext_pins){ + unflipped_cost_functions[fst_c].add_bislope(-cur_net.weight, 0, cur_net.ext_pins.min - fst_pin_offs_mn); + unflipped_cost_functions[lst_c].add_bislope(0, cur_net.weight, cur_net.ext_pins.max - lst_pin_offs_mx); + flipped_cost_functions[fst_c].add_bislope(-cur_net.weight, 0, cur_net.ext_pins.min - loc_widths[fst_c] + fst_pin_offs_mx); + flipped_cost_functions[lst_c].add_bislope(0, cur_net.weight, cur_net.ext_pins.max - loc_widths[lst_c] + lst_pin_offs_mn); + } + else{ + unflipped_cost_functions[fst_c].add_monotone(-cur_net.weight, -fst_pin_offs_mn); + unflipped_cost_functions[lst_c].add_monotone( cur_net.weight, -lst_pin_offs_mx); + flipped_cost_functions[fst_c].add_monotone(-cur_net.weight, fst_pin_offs_mx - loc_widths[fst_c] ); + flipped_cost_functions[lst_c].add_monotone( cur_net.weight, lst_pin_offs_mn - loc_widths[lst_c] ); + } + } + + std::vector prev_mins, merged_costs; + for(index_t i=0; i0){ + prev_mins.push_back(prev_mins.back().previous_min_of_sum(merged_costs.back(), loc_widths[i-1])); + } + else{ + prev_mins.push_back(merged_costs.back().previous_min()); + } + } + + for(auto const M : prev_mins){ + for(index_t i=0; i+1= M.point_values[i+1].second); + } + } + + flippings.resize(cell_ranges.size(), 0); positions.resize(cell_ranges.size(), 0); + + int_t pos = std::numeric_limits::max(); + for(index_t i=loc_ranges.size(); i>0; --i){ + // Find the best position and flipping for each cell + pos = prev_mins[i-1].last_before(std::min(pos - loc_widths[i-1], loc_ranges[i-1].second) ); + positions[i-1] = pos; + + if(loc_flipps[i-1] and flipped_cost_functions[i-1].value_at(pos) < unflipped_cost_functions[i-1].value_at(pos)){ + flippings[i-1] = 1; + } + } + + for(index_t i=0; i= loc_ranges[i].first); + assert(positions[i] <= loc_ranges[i].second); + } + for(index_t i=0; i+1 > get_cell_ranges(netlist const & circuit, detailed_placement const & pl, std::vector const & cells){ + std::vector > lims; + + for(index_t i=0; i+1(lower_lim, upper_lim); + int_t pos = pl.plt_.positions_[OSRP_cell].x_; + if( (attr & XMovable) == 0 or pl.cell_height(OSRP_cell) != 1){ + cur_lim = std::pair(pos, pos + circuit.get_cell(OSRP_cell).size.x_); + } + else{ + assert(pos >= lower_lim); + assert(pos + circuit.get_cell(OSRP_cell).size.x_ <= upper_lim); + } + lims.push_back(cur_lim); + } + + return lims; +} + +template +void OSRP_generic(netlist const & circuit, detailed_placement & pl){ + for(index_t r=0; r cells; + std::vector flippability; + + // Get the movable cells, if we can flip them, and the obstacles on the row + for(index_t OSRP_cell = pl.get_first_cell_on_row(r); OSRP_cell != null_ind; OSRP_cell = pl.get_next_cell_on_row(OSRP_cell, r)){ + auto attr = circuit.get_cell(OSRP_cell).attributes; + cells.push_back(OSRP_cell); + flippability.push_back( (attr & XFlippable) != 0 ? 1 : 0); + } + + if(not cells.empty()){ + std::vector > lims = get_cell_ranges(circuit, pl, cells); // Limit positions for each cell + + Hnet_group nets = RSMT ? + get_RSMT_netgroup(circuit, pl, cells) + : get_B2B_netgroup(circuit, pl, cells); + + std::vector no_permutation(cells.size()); + for(index_t i=0; i final_positions; + if(NON_CONVEX){ + std::vector flipped; + optimize_noncvx_sequence(nets, no_permutation, final_positions, flipped, flippability, lims); + for(index_t i=0; i +void swaps_row_generic(netlist const & circuit, detailed_placement & pl, index_t range){ + assert(range >= 2); + + for(index_t r=0; r cells; + std::vector > lims; + std::vector flippables; + + for(index_t nbr_cells=0; + OSRP_cell != null_ind + and nbr_cells < range; + OSRP_cell = pl.get_next_cell_on_row(OSRP_cell, r), ++nbr_cells + ){ + cells.push_back(OSRP_cell); + flippables.push_back( (circuit.get_cell(OSRP_cell).attributes & XFlippable) != 0); + } + + if(not cells.empty()){ + std::vector > lims = get_cell_ranges(circuit, pl, cells); // Limit positions for each cell + + Hnet_group nets = RSMT ? + get_RSMT_netgroup(circuit, pl, cells) + : get_B2B_netgroup(circuit, pl, cells); + + std::int64_t best_cost = std::numeric_limits::max(); + std::vector positions(cells.size()); + std::vector flippings(cells.size()); + std::vector best_positions(cells.size()); + std::vector best_flippings(cells.size()); + + std::vector permutation(cells.size()); + for(index_t i=0; i best_permutation; + + // Check every possible permutation of the cells + do{ + std::int64_t cur_cost = NON_CONVEX ? + optimize_noncvx_sequence(nets, permutation, positions, flippings, flippables, lims) : + optimize_convex_sequence(nets, permutation, positions, lims); + if(cur_cost <= best_cost){ + best_cost = cur_cost; + best_permutation = permutation; + best_flippings = flippings; + best_positions = positions; + } + }while(std::next_permutation(permutation.begin(), permutation.end())); + + std::vector new_cell_order(cells.size()); + // Update the positions and the topology + for(index_t i=0; i::max()); + } + + if(OSRP_cell != null_ind){ + assert(cells.size() == range); + OSRP_cell = cells[range/2]; + } + } // Iteration on the entire row + } // Iteration on the rows + + pl.selfcheck(); +} +} // End anonymous namespace + +void OSRP_convex_HPWL(netlist const & circuit, detailed_placement & pl){ OSRP_generic< false, false>(circuit, pl); } +void OSRP_convex_RSMT(netlist const & circuit, detailed_placement & pl){ OSRP_generic< false, true >(circuit, pl); } +void OSRP_noncvx_HPWL(netlist const & circuit, detailed_placement & pl){ OSRP_generic< true , false>(circuit, pl); } +void OSRP_noncvx_RSMT(netlist const & circuit, detailed_placement & pl){ OSRP_generic< true , true >(circuit, pl); } +void swaps_row_convex_HPWL(netlist const & circuit, detailed_placement & pl, index_t range){ swaps_row_generic< false, false>(circuit, pl, range); } +void swaps_row_convex_RSMT(netlist const & circuit, detailed_placement & pl, index_t range){ swaps_row_generic< false, true >(circuit, pl, range); } +void swaps_row_noncvx_HPWL(netlist const & circuit, detailed_placement & pl, index_t range){ swaps_row_generic< true , false>(circuit, pl, range); } +void swaps_row_noncvx_RSMT(netlist const & circuit, detailed_placement & pl, index_t range){ swaps_row_generic< true , true >(circuit, pl, range); } + +} // namespace dp +} // namespace coloquinte + + diff --git a/coloquinte/src/solvers.cxx b/coloquinte/src/solvers.cxx new file mode 100644 index 00000000..24033ec0 --- /dev/null +++ b/coloquinte/src/solvers.cxx @@ -0,0 +1,381 @@ + +#include "coloquinte/solvers.hxx" + +#include + +namespace coloquinte{ +namespace gp{ + +linear_system linear_system::operator+(linear_system const & o) const{ + if(o.internal_size() != internal_size()){ throw std::runtime_error("Mismatched system sizes"); } + linear_system ret(target_.size() + o.target_.size() - internal_size(), internal_size()); + + ret.matrix_ = matrix_; + std::vector omatrix = o.matrix_; + for(matrix_triplet & t : omatrix){ + if(t.c_ >= internal_size()){ + t.c_ += (target_.size() - internal_size()); + } + if(t.r_ >= internal_size()){ + t.r_ += (target_.size() - internal_size()); + } + } + ret.matrix_.insert(ret.matrix_.end(), omatrix.begin(), omatrix.end()); + + // ret.target_.resize(target_.size() + o.target_.size() - internal_size); + for(index_t i=0; i row_limits, col_indexes; + std::vector values, diag; + + std::vector mul(std::vector const & x) const; + std::vector solve_CG(std::vector const & goal, std::vector guess, std::uint32_t min_iter, std::uint32_t max_iter, float tol) const; + csr_matrix(std::vector const & row_l, std::vector const & col_i, std::vector const & vals, std::vector const D) : row_limits(row_l), col_indexes(col_i), values(vals), diag(D){ + assert(values.size() == col_indexes.size()); + assert(diag.size()+1 == row_limits.size()); + } +}; + +// A matrix with successive rows padded to the same length and accessed column-major; hopefully a little better +template +struct ellpack_matrix{ + std::vector row_limits, col_indexes; + std::vector values, diag; + + std::vector mul(std::vector const & x) const; + std::vector solve_CG(std::vector goal, std::vector guess, std::uint32_t min_iter, std::uint32_t max_iter, float tol) const; + + ellpack_matrix(std::vector const & row_l, std::vector const & col_i, std::vector const & vals, std::vector const D) : row_limits(row_l), col_indexes(col_i), values(vals), diag(D){ + assert(values.size() == col_indexes.size()); + assert(diag.size() % unroll_len == 0); + assert((row_limits.size()-1) * unroll_len == diag.size() ); + assert(row_limits.back() * unroll_len == values.size()); + assert(values.size() % unroll_len == 0); + assert(col_indexes.size() % unroll_len == 0); + } +}; + +// The proxy matrix for compressed sparse storage +class doublet_matrix{ + std::vector row_limits; + std::vector doublets; + std::uint32_t size; + + void get_compressed(std::vector & limits, std::vector & elements, std::vector & diag) const; + public: + doublet_matrix(std::vector const & triplets, std::uint32_t size); + csr_matrix get_compressed_matrix() const; + template + ellpack_matrix get_ellpack_matrix() const; +}; + +doublet_matrix::doublet_matrix(std::vector const & triplets, std::uint32_t n) : size(n){ + row_limits.resize(size+1, 0); + // First store the row sizes in the array + for(uint32_t i=0; i & sizes, std::vector & elements, std::vector & diag) const{ + assert(size+1 == row_limits.size()); + sizes.resize(size); + diag.resize(size, 0.0); + std::vector tmp_doublets = doublets; + + for(uint32_t i=0; i tmp_doublets; + std::vector sizes; + std::vector diag; + get_compressed(sizes, tmp_doublets, diag); + + // Get the limits of each row + std::vector new_row_limits(row_limits.size()); + new_row_limits[0] = 0; + for(std::uint32_t i=0; i col_indices(tmp_doublets.size()); + std::vector values(tmp_doublets.size()); + for(std::uint32_t i=0; i +ellpack_matrix doublet_matrix::get_ellpack_matrix() const{ + std::vector tmp_doublets; + std::vector sizes; + std::vector diag; + get_compressed(sizes, tmp_doublets, diag); + + std::uint32_t unrolled_size = (diag.size() % unroll_len == 0)? diag.size()/unroll_len : diag.size() / unroll_len + 1; + sizes.resize(unroll_len * unrolled_size, 0); + diag.resize(unroll_len * unrolled_size, 1.0); + + // Store the maximum size of a group of rows + std::vector new_row_limits(unrolled_size+1); + new_row_limits[0] = 0; + for(std::uint32_t i=0; i col_indices(unroll_len * new_row_limits.back()); + std::vector values(unroll_len * new_row_limits.back()); + + std::uint32_t d = 0; + for(std::uint32_t i=0; i(new_row_limits, col_indices, values, diag); +} + +std::vector csr_matrix::mul(std::vector const & x) const{ + std::vector res(x.size()); + assert(x.size() == diag.size()); + for(std::uint32_t i=0; i +std::vector ellpack_matrix::mul(std::vector const & x) const{ + std::vector res(x.size()); + assert(x.size() % unroll_len == 0); + assert(x.size() == diag.size()); + for(std::uint32_t i=0; i+1 +float dot_prod(std::vector const & a, std::vector const & b){ + assert(a.size() == b.size()); + float vals[unroll_len]; + for(int j=0; j csr_matrix::solve_CG(std::vector const & goal, std::vector x, std::uint32_t min_iter, std::uint32_t max_iter, float tol_ratio) const{ + std::uint32_t n = diag.size(); + assert(goal.size() == n); + assert(x.size() == n); + std::vector r, p(n), z(n), mul_res, preconditioner(n); + r = mul(x); + for(uint32_t i=0; i(r, z); + assert(std::isfinite(cross_norm)); + float_t const epsilon = std::numeric_limits::min(); + + float start_norm = cross_norm; + for(uint32_t k=0; k < max_iter; ++k){ + mul_res = mul(p); + + float_t pr_prod = dot_prod<16>(p, mul_res); + float_t alpha = cross_norm / pr_prod; + + if( + not std::isfinite(cross_norm) or not std::isfinite(alpha) or not std::isfinite(pr_prod) + or cross_norm <= epsilon or alpha <= epsilon or pr_prod <= epsilon + ){ + break; + } + + // Update the result + for(uint32_t i=0; i(r, z); + + // Update the scaled residual and the search direction + if(k >= min_iter && new_cross_norm <= tol_ratio * start_norm){ + break; + } + float beta = new_cross_norm / cross_norm; + cross_norm = new_cross_norm; + for(uint32_t i=0; i +std::vector ellpack_matrix::solve_CG(std::vector goal, std::vector x, std::uint32_t min_iter, std::uint32_t max_iter, float tol_ratio) const{ + std::uint32_t n = diag.size(); + std::uint32_t old_n = x.size(); + assert(goal.size() == x.size()); + x.resize(diag.size(), 0.0); + goal.resize(diag.size(), 0.0); + + std::vector r, p(n), z(n), mul_res, preconditioner(n); + r = mul(x); + for(uint32_t i=0; i(r, z); + float start_norm = cross_norm; + for(uint32_t k=0; k < max_iter; ++k){ + mul_res = mul(p); + float alpha = cross_norm / dot_prod(p, mul_res); + // Update the result + for(uint32_t i=0; i(r, z); + + // Update the scaled residual and the search direction + if(k >= min_iter && new_cross_norm <= tol_ratio * start_norm){ + break; + } + float beta = new_cross_norm / cross_norm; + cross_norm = new_cross_norm; + for(uint32_t i=0; i linear_system::solve_CG(std::vector guess, index_t nbr_iter){ + doublet_matrix tmp(matrix_, size()); + csr_matrix mat = tmp.get_compressed_matrix(); + //ellpack_matrix<16> mat = tmp.get_ellpack_matrix<16>(); + guess.resize(target_.size(), 0.0); + auto ret = mat.solve_CG(target_, guess, nbr_iter, nbr_iter, 0.0); + ret.resize(internal_size()); + return ret; +} + +} +} + + + diff --git a/coloquinte/src/topologies.cxx b/coloquinte/src/topologies.cxx new file mode 100644 index 00000000..863363e2 --- /dev/null +++ b/coloquinte/src/topologies.cxx @@ -0,0 +1,513 @@ + +#include "coloquinte/topologies.hxx" +#include "coloquinte/circuit_helper.hxx" +#include "coloquinte/union_find.hxx" + +#include +#include +#include +#include + +namespace coloquinte{ +using edge_t = std::pair; + +namespace{ +struct minmax_t{ + int_t min, max; + + minmax_t(int_t mn, int_t mx) : min(mn), max(mx) {} + minmax_t() {} + void merge(minmax_t const o){ + min = std::min(o.max, min); + max = std::max(o.min, max); + } + void merge(int_t const p){ + min = std::min(p, min); + max = std::max(p, max); + } +}; +} + +namespace steiner_lookup{ + +template +int_t Hconnectivity::get_wirelength(std::array, pin_cnt> const sorted_points) const{ + std::array minmaxs; + for(index_t i=0; i> 4; + minmaxs[b_con].merge(sorted_points.front() .y_); + minmaxs[e_con].merge(sorted_points.back() .y_); + for(std::uint8_t const E : connexions){ + minmaxs[(E >> 4)].merge(minmaxs[(E & 15u)]); + } + int_t cost = sorted_points.back().x_ - sorted_points.front().x_ + sorted_points[b_con+1].x_ - sorted_points[e_con+1].x_; + for(std::uint8_t const E : connexions){ + cost += std::abs(sorted_points[(E >> 4) +1].x_ - sorted_points[(E & 15u) +1].x_); + } + for(index_t i=0; i +std::array Hconnectivity::get_x_topology(std::array, pin_cnt> const sorted_points) const{ + std::array ret; + std::uint8_t b_con = extremes & 15u, e_con = extremes >> 4; + ret[0] = edge_t(0, b_con+1); + ret[1] = edge_t(pin_cnt-1, e_con+1); + for(index_t i=0; i> 4) +1); + } + + return ret; +} +} // End namespace steiner_lookup + +namespace { + +template +int_t get_wirelength_from_sorted(std::vector > const & pins, std::array, array_size> const & lookups){ + std::array, n> points; + std::copy_n(pins.begin(), n, points.begin()); + + int_t cost = std::numeric_limits::max(); + for(auto const L : lookups){ + cost = std::min(cost, L.get_wirelength(points)); + } + return cost; +} + +std::int64_t get_wirelength_from_topo(std::vector > const & points, std::vector > Htopo){ + std::vector minmaxs(points.size()); + for(index_t i=0; i{ + index_t index; + indexed_pt(point pt, index_t pos) : point(pt), index(pos) {} + indexed_pt(){} +}; + +template +std::vector > get_topology_from_sorted(std::vector > const & pins, std::array, array_size> const & lookups){ + std::array, n> points; + std::copy_n(pins.begin(), n, points.begin()); + + // Find the horizontal topology with the smallest cost + int_t cost = std::numeric_limits::max(); + index_t ind = std::numeric_limits::max(); + for(index_t i=0; i::max()); + auto ret = lookups[ind].get_x_topology(points); + return std::vector >(ret.begin(), ret.end()); +} + +std::vector get_vertical_topology(std::vector > pins, std::vector const & Htopo){ + index_t const null_ind = std::numeric_limits::max(); + + std::vector ipoints(pins.size()); + for(index_t i=0; i min_y_pin(pins.size()); + for(index_t i=0; i max_y_pin = min_y_pin; + + + std::vector nxt_y_pin(pins.size(), null_ind); + std::vector ret; + for(auto const E : Htopo){ + // Assuming a correctly ordered horizontal topology where the first node of the edge is never visited again + index_t f=E.first, s=E.second; + index_t first_yf=min_y_pin[f], first_ys=min_y_pin[s]; + + // Push the edges from the first and insert one of its elements in the second's linked structure + if(max_y_pin[f] < min_y_pin[s] or max_y_pin[s] < min_y_pin[f]){ + for(index_t yf=first_yf; nxt_y_pin[yf] != null_ind; yf = nxt_y_pin[yf]){ + ret.push_back(edge_t(yf, nxt_y_pin[yf])); + } + + if(max_y_pin[f] < min_y_pin[s]){ + nxt_y_pin[max_y_pin[f]] = min_y_pin[s]; + min_y_pin[s] = max_y_pin[f]; + } + else if(max_y_pin[s] < min_y_pin[f]){ + nxt_y_pin[max_y_pin[s]] = min_y_pin[f]; + max_y_pin[s] = min_y_pin[f]; + nxt_y_pin[min_y_pin[f]] = null_ind; + } + else{ + abort(); + } + } + else{ // Need to chose a pin with two connexions because there will be no L route + // One pin from the second is in the middle of the first + if(max_y_pin[f] > max_y_pin[s]){ + index_t middle_pin = max_y_pin[s]; + index_t yf=first_yf; + // Make the first connexions + for(; nxt_y_pin[yf] < middle_pin; yf = nxt_y_pin[yf]){ + ret.push_back(edge_t(yf, nxt_y_pin[yf])); + } + // Make the two connexions with the new pin + ret.push_back(edge_t(yf, middle_pin)); + yf = nxt_y_pin[yf]; + ret.push_back(edge_t(yf, middle_pin)); + // Finish the connexions + for(; nxt_y_pin[yf] != null_ind; yf = nxt_y_pin[yf]){ + ret.push_back(edge_t(yf, nxt_y_pin[yf])); + } + } + // One pin from the first is in the middle of the second + else{ + for(index_t yf=first_yf; nxt_y_pin[yf] != null_ind; yf = nxt_y_pin[yf]){ + ret.push_back(edge_t(yf, nxt_y_pin[yf])); + } + index_t middle_pin = max_y_pin[f]; + // Find the place where we can insert this pin + index_t ys=first_ys; + for(; nxt_y_pin[ys] < middle_pin; ys = nxt_y_pin[ys]); + nxt_y_pin[middle_pin] = nxt_y_pin[ys]; + nxt_y_pin[ys] = middle_pin; + } + } + } + // The last visited gives the remaining connexions to push + for(index_t yf=min_y_pin[Htopo.back().second]; nxt_y_pin[yf] != null_ind; yf = nxt_y_pin[yf]){ + ret.push_back(edge_t(yf, nxt_y_pin[yf])); + } + + // Back to the original ordering + for(auto & E : ret){ + E.first = ipoints[E.first].index; + E.second = ipoints[E.second].index; + } + return ret; +} + +inline void northeast_octant_neighbours(std::vector > pins, std::vector > & edges){ + + std::vector point_list; + for(index_t i=0; i > + active_upper_octant([](indexed_pt const a, indexed_pt const b)->bool{return a.x_ > b.x_;}), + active_lower_octant([](indexed_pt const a, indexed_pt const b)->bool{return a.y_ > b.y_;}); + + for(indexed_pt const current : point_list){ + { // North to north-east region + auto first_it = active_upper_octant.lower_bound(current); // Largest x with x <= current.x + auto it = first_it; + for(; it != active_upper_octant.end() && it->x_ - it->y_ >= current.x_ - current.y_; ++it){ + edges.push_back(std::pair(current.index, it->index)); + } + if(first_it != active_upper_octant.end()){ active_upper_octant.erase(first_it, it); } + active_upper_octant.insert(it, current); // Hint to insert the element since it is the correct position + } // End region + { // North-east to east region + auto first_it = active_lower_octant.lower_bound(current); // Largest y with y <= current.y + auto it = first_it; + for(; it != active_lower_octant.end() && it->y_ - it->x_ >= current.y_ - current.x_; ++it){ + edges.push_back(std::pair(current.index, it->index)); + } + if(first_it != active_lower_octant.end()){ active_lower_octant.erase(first_it, it); } + active_lower_octant.insert(it, current); // Hint to insert the element since it is the correct position + } // End region + } +} + +// Gets the nearest octant neighbour for each point in the south-east quadrant +inline void southeast_octant_neighbours(std::vector > pins, std::vector > & edges){ + for(auto & pin : pins){ + pin.y_ = - pin.y_; + } + northeast_octant_neighbours(pins, edges); +} + +std::vector > get_small_horizontal_topology_from_sorted(std::vector > const & pins){ + assert(pins.size() <= 10); + + switch(pins.size()){ + case 2: + return std::vector(1, edge_t(0, 1)); + case 3: + return std::vector{{0, 1}, {1, 2}}; + case 4: + return get_topology_from_sorted<4, 2>(pins, steiner_lookup::topologies_4); + case 5: + return get_topology_from_sorted<5, 6>(pins, steiner_lookup::topologies_5); + case 6: + return get_topology_from_sorted<6, 23>(pins, steiner_lookup::topologies_6); + case 7: + return get_topology_from_sorted<7, 111>(pins, steiner_lookup::topologies_7); + case 8: + return get_topology_from_sorted<8, 642>(pins, steiner_lookup::topologies_8); + case 9: + return get_topology_from_sorted<9, 4334>(pins, steiner_lookup::topologies_9); + case 10: + return get_topology_from_sorted<10, 33510>(pins, steiner_lookup::topologies_10); + default: // Only 1 and 0 left (11 and more are protected by an assertion) + return std::vector(); + } +} + +// Get an ordering of the edges that is compatible with the processing functions +std::vector get_tree_topo_sort(std::vector const & topo){ + std::vector sorted_topo; + std::vector > neighbours(topo.size()+1); + for(edge_t const E : topo){ + neighbours[E.first].push_back(E.second); + neighbours[E.second].push_back(E.first); + } + std::vector to_visit; + std::vector nbr_unvisited(topo.size()+1); + for(index_t i=0; i<=topo.size(); ++i){ + nbr_unvisited[i] = neighbours[i].size(); + assert(topo.size() == 0 or nbr_unvisited[i] >= 1); + if(nbr_unvisited[i] == 1) + to_visit.push_back(i); + } + std::vector visited(topo.size()+1, 0); + while(not to_visit.empty()){ + index_t f = to_visit.back(); + assert(visited[f] == 0); + visited[f] = 1; + to_visit.pop_back(); + for(index_t s : neighbours[f]){ + --nbr_unvisited[s]; + if(visited[s] == 0){ // It is not a node we already visited + sorted_topo.push_back(edge_t(f, s)); + } + if(nbr_unvisited[s] == 1){ + to_visit.push_back(s); + } + } + } + assert(sorted_topo.size() == topo.size()); + return sorted_topo; +} + +std::vector get_big_horizontal_topology_from_sorted(std::vector > const & pins, index_t exactitude_limit){ + auto spanning = get_MST_topology(pins); + + // TODO: perform local optimizations on the topology using exact Steiner tree algorithms + + // Remove horizontal suboptimalities i.e. when the connexions to the left and right are unbalanced + // Reuse existing code by translation to vertical topology + auto first_Htopo = get_tree_topo_sort(spanning); + auto Vtopo = get_vertical_topology(pins, first_Htopo); + Vtopo = get_tree_topo_sort(Vtopo); + + std::vector > inverted_coords = pins; + for(point & pt : inverted_coords){ + std::swap(pt.x_, pt.y_); + } + auto Htopo = get_vertical_topology(inverted_coords, Vtopo); + + // Sort the tree so that it is usable when building an RSMT + return get_tree_topo_sort(Htopo); +} + +} // End anonymous namespace + +std::vector > get_MST_topology(std::vector > const & pins){ + + std::vector edges; + + if(pins.size() <= 2){ + if(pins.size() == 2){ + edges.push_back(edge_t(0, 1)); + } + if(pins.size() == 3){ + auto D = [](point a, point b){ return std::abs(a.x_ - b.x_) + std::abs(a.y_ - b.y_); }; + auto dists = std::array({D(pins[1], pins[2]), D(pins[1], pins[2]), D(pins[0], pins[1])}); + index_t mx = std::max_element(dists.begin(), dists.end()) - dists.begin(); + for(index_t i=0; i<3; ++i){ + if(i != mx) + edges.push_back(edge_t((i+1) % 3, (i+2) % 3)); + } + } + return edges; + } + + northeast_octant_neighbours(pins, edges); + southeast_octant_neighbours(pins, edges); + + std::vector returned_edges; + + auto edge_length = [&](edge_t E){ + point p1 = pins[E.first], + p2 = pins[E.second]; + return std::abs(p1.x_ - p2.x_) + std::abs(p1.y_ - p2.y_); + }; + // Perform Kruskal to get the tree + std::sort(edges.begin(), edges.end(), [&](edge_t a, edge_t b){ return edge_length(a) < edge_length(b); }); + + union_find merger(pins.size()); + + for(index_t i=0; i > const & pins){ + auto edges = get_MST_topology(pins); + std::int64_t sum = 0; + for(auto E : edges){ + sum += std::abs(pins[E.first].x_ - pins[E.second].x_); + sum += std::abs(pins[E.first].y_ - pins[E.second].y_); + } + return sum; +} + +std::int64_t RSMT_length(std::vector > const & pins, index_t exactitude_limit){ + assert(exactitude_limit <= 10 and exactitude_limit >= 3); + if(pins.size() <= 3){ + if(pins.size() == 2){ + return std::abs(pins[0].x_ - pins[1].x_) + std::abs(pins[0].y_ - pins[1].y_); + } + else if(pins.size() == 3){ + auto minmaxX = std::minmax_element(pins.begin(), pins.end(), [](point a, point b){ return a.x_ < b.x_; }), + minmaxY = std::minmax_element(pins.begin(), pins.end(), [](point a, point b){ return a.y_ < b.y_; }); + return (minmaxX.second->x_ - minmaxX.first->x_) + (minmaxY.second->y_ - minmaxY.first->y_); + } + else{ + return 0; + } + } + else{ + std::vector > points = pins; + std::sort(points.begin(), points.end(), [](point a , point b){return a.x_ < b.x_; }); + + if(points.size() <= exactitude_limit){ + switch(points.size()){ + case 4: + return get_wirelength_from_sorted<4, 2>(points, steiner_lookup::topologies_4); + case 5: + return get_wirelength_from_sorted<5, 6>(points, steiner_lookup::topologies_5); + case 6: + return get_wirelength_from_sorted<6, 23>(points, steiner_lookup::topologies_6); + case 7: + return get_wirelength_from_sorted<7, 111>(points, steiner_lookup::topologies_7); + case 8: + return get_wirelength_from_sorted<8, 642>(points, steiner_lookup::topologies_8); + case 9: + return get_wirelength_from_sorted<9, 4334>(points, steiner_lookup::topologies_9); + case 10: + return get_wirelength_from_sorted<10, 33510>(points, steiner_lookup::topologies_10); + default: + abort(); + } + } + else{ // Need to create the full topology, then calculate the length back + //return MST_length(points); + auto horizontal_topology = get_big_horizontal_topology_from_sorted(points, exactitude_limit); + return get_wirelength_from_topo(points, horizontal_topology); + } + } +} + +point > > get_RSMT_topology(std::vector > const & pins, index_t exactitude_limit){ + + assert(exactitude_limit <= 10 and exactitude_limit >= 3); + + // For 3 pin and fewer, the topology is very simple + if(pins.size() <= 2){ + if(pins.size() == 2){ + auto ret = std::vector(1, edge_t(0, 1)); + return point >(ret, ret); + } + else{ + return point >(); + } + } + else if(pins.size() == 3){ + std::vector ipoints(pins.size()); + for(index_t i=0; i >{{{xpoints[0].index, xpoints[1].index}, {xpoints[1].index, xpoints[2].index}}, {{ypoints[0].index, ypoints[1].index}, {ypoints[1].index, ypoints[2].index}}}; + } + else{ + std::vector horizontal_topology; + + // Sort the pins by x coordinate + std::vector ipoints(pins.size()); + for(index_t i=0; i > sorted_pins(pins.size()); + for(index_t i=0; i >(horizontal_topology, get_vertical_topology(sorted_pins, horizontal_topology)); + } +} + +} // Namespace coloquinte +