// SPDX-License-Identifier: BSD-3-Clause // Copyright (c) 2026, The OpenROAD Authors #include #include #include #include #include #include #include #include #include #include "DmpCeffLambertWDelayCalc.hh" #include "db_sta/dbSta.hh" #include "sta/DelayCalc.hh" #include "tst/IntegratedFixture.h" namespace sta { class TestLambertW : public tst::IntegratedFixture { protected: TestLambertW() : tst::IntegratedFixture(tst::IntegratedFixture::Technology::kNangate45, "_main/src/dbSta/test/") { } }; TEST_F(TestLambertW, ValidateRandomPImodels) { readVerilogAndSetup("TestDbSta_0.v"); std::unique_ptr lambert_calc = std::make_unique(sta_.get()); std::unique_ptr twopole_calc = std::make_unique(sta_.get()); const Scene* scene = sta_->cmdScene(); const MinMax* min_max = MinMax::max(); const RiseFall* rf = RiseFall::rise(); Pin* drvr_pin = db_network_->findPin("buf/Z"); Pin* load_pin = db_network_->findPin("load/A"); ASSERT_NE(drvr_pin, nullptr); ASSERT_NE(load_pin, nullptr); Instance* inst = db_network_->instance(drvr_pin); LibertyCell* cell = db_network_->libertyCell(inst); ASSERT_NE(cell, nullptr); TimingArcSet* arc_set = cell->timingArcSets().front(); ASSERT_NE(arc_set, nullptr); TimingArc* arc = arc_set->arcs().front(); ASSERT_NE(arc, nullptr); LoadPinIndexMap load_pin_map(db_network_); load_pin_map[load_pin] = 0; Parasitics* parasitics = scene->parasitics(min_max); ASSERT_NE(parasitics, nullptr); std::mt19937 gen(42); std::uniform_real_distribution dis_c2(1e-15f, 50e-15f); std::uniform_real_distribution dis_rpi(10.0f, 500.0f); std::uniform_real_distribution dis_c1(1e-15f, 50e-15f); std::uniform_real_distribution dis_slew(0.01e-9f, 0.5e-9f); const Net* net = db_network_->net(drvr_pin); ASSERT_NE(net, nullptr); static constexpr int kNumSamples = 10000; std::vector rel_errors; rel_errors.reserve(kNumSamples); int count_under_6pct = 0; int count_under_10pct = 0; for (int i = 0; i < kNumSamples; ++i) { float c2 = dis_c2(gen); float rpi = dis_rpi(gen); float c1 = dis_c1(gen); // Rejection sampling for physically realistic layout parasitics: // 1. Physical wire constraint: C2 must be >= half the wire capacitance // associated with Rpi (min c/r ratio ~0.04 fF/Ohm) float min_c2_from_rpi = 0.5f * rpi * 0.04e-15f; if (c2 < min_c2_from_rpi) { --i; continue; } // 2. Capacitance ratio constraint: For long wires (Rpi > 100 Ohm), y = // C2/(C1+C2) is bounded in [0.20, 0.80] float y_ratio = c2 / (c1 + c2); if (rpi > 100.0f && (y_ratio < 0.20f || y_ratio > 0.80f)) { --i; continue; } Slew in_slew(dis_slew(gen)); // Construct a detailed RC network representing the Pi model Parasitic* pnet = parasitics->makeParasiticNetwork(net, false); ParasiticNode* drvr_node = parasitics->ensureParasiticNode(pnet, drvr_pin, db_network_); ParasiticNode* load_node = parasitics->ensureParasiticNode(pnet, load_pin, db_network_); parasitics->incrCap(drvr_node, c2); parasitics->incrCap(load_node, c1); parasitics->makeResistor(pnet, 1, rpi, drvr_node, load_node); // Reduce the RC network using OpenSTA's parasitic reduction engine Parasitic* parasitic = parasitics->reduceToPiPoleResidue2( pnet, drvr_pin, rf, scene, min_max); ASSERT_NE(parasitic, nullptr); float load_cap = c1 + c2; ArcDcalcResult res_lambert = lambert_calc->gateDelay(drvr_pin, arc, in_slew, load_cap, parasitic, load_pin_map, scene, min_max); ArcDcalcResult res_twopole = twopole_calc->gateDelay(drvr_pin, arc, in_slew, load_cap, parasitic, load_pin_map, scene, min_max); float gd_lambert = delayAsFloat(res_lambert.gateDelay()); float gd_twopole = delayAsFloat(res_twopole.gateDelay()); float diff = std::abs(gd_lambert - gd_twopole); float max_val = std::max(std::abs(gd_lambert), std::abs(gd_twopole)); if (max_val > 0.0f) { float rel_err = diff / max_val; rel_errors.push_back(rel_err); if (rel_err < 0.06f) { count_under_6pct++; } if (rel_err < 0.10f) { count_under_10pct++; } } parasitics->deleteParasiticNetwork(net); parasitics->deleteDrvrReducedParasitics(drvr_pin); } std::sort(rel_errors.begin(), rel_errors.end()); float mean_err = 0.0f; for (float err : rel_errors) { mean_err += err; } mean_err /= rel_errors.size(); float p95_err = rel_errors[static_cast(0.95 * rel_errors.size())]; float p99_err = rel_errors[static_cast(0.99 * rel_errors.size())]; float max_err = rel_errors.back(); std::cout << "\n=======================================================\n"; std::cout << " [ STATISTICAL ANALYSIS ] 10,000 Random Pi Models\n"; std::cout << "-------------------------------------------------------\n"; std::cout << " Mean Relative Error : " << mean_err * 100.0f << "%\n"; std::cout << " 95th Percentile Relative Error: " << p95_err * 100.0f << "%\n"; std::cout << " 99th Percentile Relative Error: " << p99_err * 100.0f << "%\n"; std::cout << " Max Relative Error : " << max_err * 100.0f << "%\n"; std::cout << " Samples with Error < 6.0% : " << (count_under_6pct * 100.0f / rel_errors.size()) << "%\n"; std::cout << " Samples with Error < 10.0% : " << (count_under_10pct * 100.0f / rel_errors.size()) << "%\n"; std::cout << "=======================================================\n\n"; EXPECT_LT(p99_err, 0.15); } } // namespace sta