Global placement and wirelength

Compute a net's half-perimeter wirelength by hand, say when it underestimates the wire, and read how an analytic placer trades wirelength for spreading in its overflow log.

Lesson
L4.1
Time
30 min
Runs on
OpenROAD
Check
5 questions

OpenROAD's global placer began the MAC with its cells piled near the middle of the core, where the wirelength of 1270 µm even shrank to 925 µm by iteration 40. But the overflow was 0.9783: the density excess was large, and by iteration 361, when the placer stopped, the wirelength was 4142 µm.

Measured sweepWirelength and overflow of the MAC, iteration by iterationThe first global placement of the flow, before the I/O pins exist. Every tenth iteration, as the placer logs it.
  • HPWL (µm)
  • overflow
010002000300040005000HPWL (µm)00.20.40.60.81.0Overflow050100150200250300350Iteration010002000300040005000HPWL (µm)00.51.0Overflow0100200300Iteration
  1. Iteration 0HPWL (µm) = 1270 · overflow = 0.9783

    The starting point: every net short, HPWL 1270 µm, overflow 0.9783.

  2. Iteration 40HPWL (µm) = 924.8 · overflow = 0.9645

    The density penalty is still weak, and the wirelength term pulls nets even shorter: 925 µm.

  3. Iteration 250HPWL (µm) = 3339 · overflow = 0.4921

    The penalty has grown. Cells flow outward, overflow passes 0.4921, and HPWL climbs to 3339 µm.

  4. Iteration 361HPWL (µm) = 4142 · overflow = 0.0991

    Overflow 0.0991 is below the stop value of 0.1, so the placer stops with 4142 µm of wire.

Read the plot as a table
IterationHPWL (µm)overflow
012700.9783
40924.80.9645
50925.60.966
100935.20.9589
15011990.928
20023450.7335
25033390.4921
30038980.2466
35041070.1219
36141420.0991

OpenROAD 26Q2 global_placement on sky130hd, MAC W=8 at 40 % utilization and target density 0.6; the curve is the placer's own log.

The shortest wiring is a pile that cannot be built, and global placement is the trade between the two.

A rough position for every cell

Global placement gives every cell of the netlist a position in the core: close to the cells it connects to, and spread out enough to fit. Positions are continuous: a cell may sit between two sites, between two rows, or half on top of a neighbour. Legalization fixes all that later, in L4.3.

LayoutThe MAC through global and detailed placement447 logic cells and 136 tap cells, 40 % utilization, target density 0.6.
  • Tap cells
  • Logic
  • Buffers and inverters
  • Flip-flops
  • Power stripes
  • I/O pins
Stage
Detailed placement
Cell area
4,332.9 µm²
Utilization
42.4 %
Wirelength (HPWL)
6,041 µm
Worst max slack
0.1639 ns
Total negative max slack
0.0000 ns
Worst min slack
0.4534 ns
The MAC through global and detailed placementDrawing the layout…
  1. Before placement

    Rows, tap cells and the power grid. The logic cells have no position yet, and no pin is placed.

  2. Global placement

    Cells spread over the core in clusters that follow the logic. The pins sit on the die edges next to their cells. HPWL 4952 µm.

  3. Legal positions

    Every cell snapped onto a site of a row. That moves cells off their ideal spots, and HPWL grows to 6041 µm.

Read the layout as text

mac: die 112.02 × 112.02 µm, core 101.66 × 100.64 µm, 37 rows of 2.72 µm, 39 signal pins.

StageCell areaUtilizationWirelength (HPWL)Worst max slackTotal negative max slackWorst min slackOverflowCells placed
Floorplan4,332.9 µm²42.4 %—0.7041 ns0.0000 ns0.4243 ns—136 tap cells; I/O pins not placed yet
Global placement4,332.9 µm²42.4 %4,952 µm0.2629 ns0.0000 ns0.4496 ns0.0994136 tap cells, 6 buffers and inverters, 389 logic, 52 flip-flops
Detailed placement4,332.9 µm²42.4 %6,041 µm0.1639 ns0.0000 ns0.4534 ns—136 tap cells, 6 buffers and inverters, 389 logic, 52 flip-flops

Measured with OpenROAD 26Q2 on sky130hd. Zoom in on the global placement to see cells overlap.

The flow places twice, as OpenROAD-flow-scripts does. The first global placement runs without the I/O pins (-skip_io). Then place_pins assigns pins to legal edge slots to reduce estimated wirelength. The second global placement starts again with the pins in place and stops at iteration 329, overflow 0.0994, HPWL 4925 µm.

Half-perimeter wirelength

Before routing, nobody knows the real length of a wire, so the placer needs a cheap estimate it can compute millions of times.

Half-perimeter wirelength (HPWL) is that estimate. Draw the smallest rectangle that holds every pin of a net. The net's HPWL is the rectangle's width plus its height, half its perimeter. The design's HPWL is the sum over all its nets.

  1. Three pins

    Pins at (1, 1), (7, 3), (4, 9) µm. The x values span 1 to 7, the y values 1 to 9. HPWL = 6 + 8 = 14 µm. One vertical trunk with two short branches wires them in exactly that length.

  2. Four pins

    Pins at the four corners of a 10 µm square. The rectangle is the square, so HPWL = 20 µm. But any tree that reaches all four corners needs at least 30 µm: one side across and two sides up.

  3. The rule

    Without obstacles, HPWL equals the shortest rectilinear wiring for two or three pins. For four or more pins it remains a lower bound; the shortest tree can equal or exceed it.

The shortest such wiring is a rectilinear Steiner tree. It may branch at points that are not pins. Routers build Steiner trees; placers use HPWL because it needs only a minimum and a maximum per net. In this flow, HPWL is measured over the pin centres.

How the analytic placer spreads cells

OpenROAD's global placer, gpl, follows the RePlAce and ePlace work its documentation cites. It treats cells as electric charges that push apart where they crowd. It minimizes one smooth cost, wirelength plus a density penalty, by moving every cell a little each iteration.

  1. Initial placement

    A quadratic wirelength solve ignores overlap, so connected cells pull together into a pile near the centre.

  2. Bins and density

    The core is cut into a grid of bins. The target density, -density 0.6 here, sets a desired fill for each bin; the penalty discourages excess.

  3. Overflow

    Overflow is the fraction of all cell area that sits above the target density in its bin. A pile has overflow near 1; an evenly spread placement has 0.

  4. Iterations

    Iterations balance smooth wirelength against a density penalty. The penalty weight adapts as the solve progresses; neither cost nor weight must change monotonically.

  5. Stop

    The placer stops when overflow falls below its stop value, 0.1 by default. The final run here took 329 iterations and ended at overflow 0.0994.

That is why the curve in the hook rises. Spreading a crowded cluster can stretch its nets, and the placer accepts that cost in exchange for space.

What global placement leaves behind

The stop target 0.1 permits residual density excess. It is not a geometric overlap count or a legality check. Cells can still overlap or miss sites; legalization and check_placement are needed. Detailed placement moves them onto legal sites, and the HPWL grows from 4952 µm to 6041 µm on the way.

Wirelength is what the placer minimizes, but it is not the goal. A placement must also route, which depends on how crowded the wires are (L4.2), and meet timing, which depends on the few nets on critical paths (L4.5).

Asked in interviews
  1. What does a global placer optimize?

    Total estimated wirelength, usually HPWL or a smooth version of it, under a density constraint that keeps cells from piling up. Timing and routability can be added as net weights or cell padding.

  2. What is HPWL, and when is it inaccurate?

    The width plus the height of the bounding box of a net's pins. Without obstacles it is exact for two or three pins and a lower bound for more. Nets of high fanout are the worst underestimates.

  3. How does analytic placement work?

    Positions are continuous variables. A smooth wirelength function and a density penalty, often modelled as electrostatic charge, are minimized together by gradient steps, and the penalty weight grows until overflow is small.

  4. What is overflow in placement?

    The fraction of cell area that sits above the target density in its bin. It measures how far the placement still is from spread out; it is the placer's usual stop criterion.

Try it

Run the MAC through global and detailed placement. Output lists each stage's HPWL, and a line under the table gives the placer's iterations and final overflow, 329 and 0.0994. The log holds the placer's iteration table.

Now raise the stop overflow to 0.3 and run again. Compare the stopping iteration and both HPWL values: legalization now has more overlap to clean up. Then try a target density of 0.9.

FLOWOpenROAD 26Q2 · sky130hd · simulator service
Edit the constraints, then run them

          
Expected: global placement HPWL 4951.9665 µm global placement iterations 329 detailed placement HPWL 6041.2405 µm
Read the netlist: mac.v (the bundled design mac8)
/* Generated by Yosys 0.70+290 (git sha1 e8968a4f7, Release, Clang /usr/bin/clang++ 21.1.8) */

module mac(clk, rst_n, en, a, b, acc);
  input clk;
  wire clk;
  input rst_n;
  wire rst_n;
  input en;
  wire en;
  input [7:0] a;
  wire [7:0] a;
  input [7:0] b;
  wire [7:0] b;
  output [19:0] acc;
  wire [19:0] acc;
  wire _000_;
  wire _001_;
  wire _002_;
  wire _003_;
  wire _004_;
  wire _005_;
  wire _006_;
  wire _007_;
  wire _008_;
  wire _009_;
  wire _010_;
  wire _011_;
  wire _012_;
  wire _013_;
  wire _014_;
  wire _015_;
  wire _016_;
  wire _017_;
  wire _018_;
  wire _019_;
  wire _020_;
  wire _021_;
  wire _022_;
  wire _023_;
  wire _024_;
  wire _025_;
  wire _026_;
  wire _027_;
  wire _028_;
  wire _029_;
  wire _030_;
  wire _031_;
  wire _032_;
  wire _033_;
  wire _034_;
  wire _035_;
  wire _036_;
  wire _037_;
  wire _038_;
  wire _039_;
  wire _040_;
  wire _041_;
  wire _042_;
  wire _043_;
  wire _044_;
  wire _045_;
  wire _046_;
  wire _047_;
  wire _048_;
  wire _049_;
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  wire _052_;
  wire _053_;
  wire _054_;
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  wire _061_;
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  wire _063_;
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  wire _069_;
  wire _070_;
  wire _071_;
  wire _072_;
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  wire _076_;
  wire _077_;
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  wire _079_;
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  wire _086_;
  wire _087_;
  wire _088_;
  wire _089_;
  wire _090_;
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  wire _094_;
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  wire _096_;
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  wire _110_;
  wire _111_;
  wire _112_;
  wire _113_;
  wire _114_;
  wire _115_;
  wire _116_;
  wire _117_;
  wire _118_;
  wire _119_;
  wire _120_;
  wire _121_;
  wire _122_;
  wire _123_;
  wire _124_;
  wire _125_;
  wire _126_;
  wire _127_;
  wire _128_;
  wire _129_;
  wire _130_;
  wire _131_;
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  wire _135_;
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  wire _151_;
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  wire _159_;
  wire _160_;
  wire _161_;
  wire _162_;
  wire _163_;
  wire _164_;
  wire _165_;
  wire _166_;
  wire _167_;
  wire _168_;
  wire _169_;
  wire _170_;
  wire _171_;
  wire _172_;
  wire _173_;
  wire _174_;
  wire _175_;
  wire _176_;
  wire _177_;
  wire _178_;
  wire _179_;
  wire _180_;
  wire _181_;
  wire _182_;
  wire _183_;
  wire _184_;
  wire _185_;
  wire _186_;
  wire _187_;
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  wire _341_;
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  wire _391_;
  wire _392_;
  wire _393_;
  wire _394_;
  wire \p[0] ;
  wire \p[10] ;
  wire \p[11] ;
  wire \p[12] ;
  wire \p[13] ;
  wire \p[14] ;
  wire \p[15] ;
  wire \p[1] ;
  wire \p[2] ;
  wire \p[3] ;
  wire \p[4] ;
  wire \p[5] ;
  wire \p[6] ;
  wire \p[7] ;
  wire \p[8] ;
  wire \p[9] ;
  wire \ra[0] ;
  wire \ra[1] ;
  wire \ra[2] ;
  wire \ra[3] ;
  wire \ra[4] ;
  wire \ra[5] ;
  wire \ra[6] ;
  wire \ra[7] ;
  wire \rb[0] ;
  wire \rb[1] ;
  wire \rb[2] ;
  wire \rb[3] ;
  wire \rb[4] ;
  wire \rb[5] ;
  wire \rb[6] ;
  wire \rb[7] ;
  sky130_fd_sc_hd__clkinv_1 _395_ (
    .A(en),
    .Y(_052_)
  );
  sky130_fd_sc_hd__clkinv_1 _396_ (
    .A(acc[16]),
    .Y(_053_)
  );
  sky130_fd_sc_hd__xnor2_1 _397_ (
    .A(acc[12]),
    .B(\p[12] ),
    .Y(_061_)
  );
  sky130_fd_sc_hd__xor3_1 _398_ (
    .A(_112_),
    .B(_145_),
    .C(_146_),
    .X(_148_)
  );
  sky130_fd_sc_hd__nand2_1 _399_ (
    .A(_144_),
    .B(_148_),
    .Y(_149_)
  );
  sky130_fd_sc_hd__nand3_1 _400_ (
    .A(\ra[7] ),
    .B(\rb[2] ),
    .C(_149_),
    .Y(_150_)
  );
  sky130_fd_sc_hd__xnor2_1 _401_ (
    .A(_115_),
    .B(_116_),
    .Y(_151_)
  );
  sky130_fd_sc_hd__nand2_1 _402_ (
    .A(\rb[7] ),
    .B(\ra[3] ),
    .Y(_152_)
  );
  sky130_fd_sc_hd__maj3_1 _403_ (
    .A(_112_),
    .B(_145_),
    .C(_146_),
    .X(_153_)
  );
  sky130_fd_sc_hd__nand2_1 _404_ (
    .A(\ra[4] ),
    .B(\rb[6] ),
    .Y(_154_)
  );
  sky130_fd_sc_hd__xnor2_1 _405_ (
    .A(_153_),
    .B(_154_),
    .Y(_155_)
  );
  sky130_fd_sc_hd__xnor2_1 _406_ (
    .A(_152_),
    .B(_155_),
    .Y(_156_)
  );
  sky130_fd_sc_hd__maj3_1 _407_ (
    .A(_150_),
    .B(_151_),
    .C(_156_),
    .X(_157_)
  );
  sky130_fd_sc_hd__clkinv_1 _408_ (
    .A(_061_),
    .Y(_062_)
  );
  sky130_fd_sc_hd__xnor2_1 _409_ (
    .A(_120_),
    .B(_124_),
    .Y(_158_)
  );
  sky130_fd_sc_hd__nor2b_1 _410_ (
    .A(_157_),
    .B_N(_158_),
    .Y(_159_)
  );
  sky130_fd_sc_hd__maj3_1 _411_ (
    .A(_152_),
    .B(_153_),
    .C(_154_),
    .X(_160_)
  );
  sky130_fd_sc_hd__xnor2_1 _412_ (
    .A(_157_),
    .B(_158_),
    .Y(_161_)
  );
  sky130_fd_sc_hd__nor2b_1 _413_ (
    .A(_160_),
    .B_N(_161_),
    .Y(_162_)
  );
  sky130_fd_sc_hd__xor2_1 _414_ (
    .A(_135_),
    .B(_136_),
    .X(_163_)
  );
  sky130_fd_sc_hd__o21a_1 _415_ (
    .A1(_159_),
    .A2(_162_),
    .B1(_163_),
    .X(_164_)
  );
  sky130_fd_sc_hd__nand2_1 _416_ (
    .A(\ra[7] ),
    .B(\rb[1] ),
    .Y(_165_)
  );
  sky130_fd_sc_hd__and2_0 _417_ (
    .A(\ra[6] ),
    .B(\rb[0] ),
    .X(_166_)
  );
  sky130_fd_sc_hd__nand2_1 _418_ (
    .A(\ra[7] ),
    .B(\rb[0] ),
    .Y(_167_)
  );
  sky130_fd_sc_hd__and2_0 _419_ (
    .A(acc[11]),
    .B(\p[11] ),
    .X(_063_)
  );
  sky130_fd_sc_hd__nand2_1 _420_ (
    .A(\ra[5] ),
    .B(\rb[2] ),
    .Y(_168_)
  );
  sky130_fd_sc_hd__maj3_1 _421_ (
    .A(_144_),
    .B(_167_),
    .C(_168_),
    .X(_169_)
  );
  sky130_fd_sc_hd__nand2_1 _422_ (
    .A(\ra[6] ),
    .B(\rb[2] ),
    .Y(_170_)
  );
  sky130_fd_sc_hd__xnor2_1 _423_ (
    .A(_165_),
    .B(_170_),
    .Y(_171_)
  );
  sky130_fd_sc_hd__nand2_1 _424_ (
    .A(\ra[3] ),
    .B(\rb[5] ),
    .Y(_172_)
  );
  sky130_fd_sc_hd__nand2_1 _425_ (
    .A(\ra[4] ),
    .B(\rb[4] ),
    .Y(_173_)
  );
  sky130_fd_sc_hd__nand2_1 _426_ (
    .A(\ra[4] ),
    .B(\rb[3] ),
    .Y(_174_)
  );
  sky130_fd_sc_hd__xor3_1 _427_ (
    .A(_147_),
    .B(_172_),
    .C(_173_),
    .X(_175_)
  );
  sky130_fd_sc_hd__maj3_1 _428_ (
    .A(_169_),
    .B(_171_),
    .C(_175_),
    .X(_176_)
  );
  sky130_fd_sc_hd__nand3_1 _429_ (
    .A(\ra[7] ),
    .B(\rb[2] ),
    .C(_144_),
    .Y(_177_)
  );
  sky130_fd_sc_hd__nand2_1 _430_ (
    .A(acc[11]),
    .B(\p[11] ),
    .Y(_064_)
  );
  sky130_fd_sc_hd__xnor2_1 _431_ (
    .A(_148_),
    .B(_177_),
    .Y(_178_)
  );
  sky130_fd_sc_hd__nand2_1 _432_ (
    .A(\rb[7] ),
    .B(\ra[2] ),
    .Y(_179_)
  );
  sky130_fd_sc_hd__maj3_1 _433_ (
    .A(_147_),
    .B(_172_),
    .C(_173_),
    .X(_180_)
  );
  sky130_fd_sc_hd__nand2_1 _434_ (
    .A(\ra[3] ),
    .B(\rb[6] ),
    .Y(_181_)
  );
  sky130_fd_sc_hd__xnor2_1 _435_ (
    .A(_180_),
    .B(_181_),
    .Y(_182_)
  );
  sky130_fd_sc_hd__xnor2_1 _436_ (
    .A(_179_),
    .B(_182_),
    .Y(_183_)
  );
  sky130_fd_sc_hd__xnor2_1 _437_ (
    .A(_176_),
    .B(_178_),
    .Y(_184_)
  );
  sky130_fd_sc_hd__maj3_1 _438_ (
    .A(_176_),
    .B(_178_),
    .C(_183_),
    .X(_185_)
  );
  sky130_fd_sc_hd__xor3_1 _439_ (
    .A(_150_),
    .B(_151_),
    .C(_156_),
    .X(_186_)
  );
  sky130_fd_sc_hd__maj3_1 _440_ (
    .A(_179_),
    .B(_180_),
    .C(_181_),
    .X(_187_)
  );
  sky130_fd_sc_hd__nor2_1 _441_ (
    .A(acc[11]),
    .B(\p[11] ),
    .Y(_065_)
  );
  sky130_fd_sc_hd__xor2_1 _442_ (
    .A(_185_),
    .B(_186_),
    .X(_188_)
  );
  sky130_fd_sc_hd__maj3_1 _443_ (
    .A(_185_),
    .B(_186_),
    .C(_187_),
    .X(_189_)
  );
  sky130_fd_sc_hd__xor2_1 _444_ (
    .A(_160_),
    .B(_161_),
    .X(_190_)
  );
  sky130_fd_sc_hd__nor2_1 _445_ (
    .A(_189_),
    .B(_190_),
    .Y(_191_)
  );
  sky130_fd_sc_hd__nand2_1 _446_ (
    .A(\ra[5] ),
    .B(\rb[0] ),
    .Y(_192_)
  );
  sky130_fd_sc_hd__and2_0 _447_ (
    .A(\ra[5] ),
    .B(\rb[1] ),
    .X(_193_)
  );
  sky130_fd_sc_hd__and2_0 _448_ (
    .A(\ra[4] ),
    .B(\rb[2] ),
    .X(_194_)
  );
  sky130_fd_sc_hd__maj3_1 _449_ (
    .A(_166_),
    .B(_193_),
    .C(_194_),
    .X(_195_)
  );
  sky130_fd_sc_hd__xnor3_1 _450_ (
    .A(_144_),
    .B(_167_),
    .C(_168_),
    .X(_196_)
  );
  sky130_fd_sc_hd__nand2_1 _451_ (
    .A(\ra[2] ),
    .B(\rb[5] ),
    .Y(_197_)
  );
  sky130_fd_sc_hd__clkinv_1 _452_ (
    .A(_065_),
    .Y(_066_)
  );
  sky130_fd_sc_hd__nand2_1 _453_ (
    .A(\ra[3] ),
    .B(\rb[4] ),
    .Y(_198_)
  );
  sky130_fd_sc_hd__nand2_1 _454_ (
    .A(\ra[3] ),
    .B(\rb[3] ),
    .Y(_199_)
  );
  sky130_fd_sc_hd__xnor3_1 _455_ (
    .A(_174_),
    .B(_197_),
    .C(_198_),
    .X(_200_)
  );
  sky130_fd_sc_hd__maj3_1 _456_ (
    .A(_195_),
    .B(_196_),
    .C(_200_),
    .X(_201_)
  );
  sky130_fd_sc_hd__xnor3_1 _457_ (
    .A(_169_),
    .B(_171_),
    .C(_175_),
    .X(_202_)
  );
  sky130_fd_sc_hd__nand2_1 _458_ (
    .A(\rb[7] ),
    .B(\ra[1] ),
    .Y(_203_)
  );
  sky130_fd_sc_hd__maj3_1 _459_ (
    .A(_174_),
    .B(_197_),
    .C(_198_),
    .X(_204_)
  );
  sky130_fd_sc_hd__nand2_1 _460_ (
    .A(\ra[2] ),
    .B(\rb[6] ),
    .Y(_205_)
  );
  sky130_fd_sc_hd__xor2_1 _461_ (
    .A(_204_),
    .B(_205_),
    .X(_206_)
  );
  sky130_fd_sc_hd__xnor2_1 _462_ (
    .A(_203_),
    .B(_206_),
    .Y(_207_)
  );
  sky130_fd_sc_hd__and2_0 _463_ (
    .A(acc[10]),
    .B(\p[10] ),
    .X(_067_)
  );
  sky130_fd_sc_hd__xor2_1 _464_ (
    .A(_201_),
    .B(_202_),
    .X(_208_)
  );
  sky130_fd_sc_hd__maj3_1 _465_ (
    .A(_201_),
    .B(_202_),
    .C(_207_),
    .X(_209_)
  );
  sky130_fd_sc_hd__xnor2_1 _466_ (
    .A(_183_),
    .B(_184_),
    .Y(_210_)
  );
  sky130_fd_sc_hd__nand2b_1 _467_ (
    .A_N(_210_),
    .B(_209_),
    .Y(_211_)
  );
  sky130_fd_sc_hd__maj3_1 _468_ (
    .A(_203_),
    .B(_204_),
    .C(_205_),
    .X(_212_)
  );
  sky130_fd_sc_hd__xnor2_1 _469_ (
    .A(_209_),
    .B(_210_),
    .Y(_213_)
  );
  sky130_fd_sc_hd__nand2b_1 _470_ (
    .A_N(_212_),
    .B(_213_),
    .Y(_214_)
  );
  sky130_fd_sc_hd__and2_0 _471_ (
    .A(_211_),
    .B(_214_),
    .X(_215_)
  );
  sky130_fd_sc_hd__xor2_1 _472_ (
    .A(_187_),
    .B(_188_),
    .X(_216_)
  );
  sky130_fd_sc_hd__nor2_1 _473_ (
    .A(_215_),
    .B(_216_),
    .Y(_217_)
  );
  sky130_fd_sc_hd__nor2_1 _474_ (
    .A(acc[10]),
    .B(\p[10] ),
    .Y(_068_)
  );
  sky130_fd_sc_hd__nand2_1 _475_ (
    .A(\ra[4] ),
    .B(\rb[1] ),
    .Y(_218_)
  );
  sky130_fd_sc_hd__and2_0 _476_ (
    .A(\ra[4] ),
    .B(\rb[0] ),
    .X(_219_)
  );
  sky130_fd_sc_hd__nand2_1 _477_ (
    .A(\ra[3] ),
    .B(\rb[2] ),
    .Y(_220_)
  );
  sky130_fd_sc_hd__maj3_1 _478_ (
    .A(_192_),
    .B(_218_),
    .C(_220_),
    .X(_221_)
  );
  sky130_fd_sc_hd__xnor3_1 _479_ (
    .A(_166_),
    .B(_193_),
    .C(_194_),
    .X(_222_)
  );
  sky130_fd_sc_hd__nand2_1 _480_ (
    .A(\ra[1] ),
    .B(\rb[5] ),
    .Y(_223_)
  );
  sky130_fd_sc_hd__nand2_1 _481_ (
    .A(\ra[2] ),
    .B(\rb[4] ),
    .Y(_224_)
  );
  sky130_fd_sc_hd__nand2_1 _482_ (
    .A(\ra[2] ),
    .B(\rb[3] ),
    .Y(_225_)
  );
  sky130_fd_sc_hd__xor3_1 _483_ (
    .A(_199_),
    .B(_223_),
    .C(_224_),
    .X(_226_)
  );
  sky130_fd_sc_hd__maj3_1 _484_ (
    .A(_221_),
    .B(_222_),
    .C(_226_),
    .X(_227_)
  );
  sky130_fd_sc_hd__nor2_1 _485_ (
    .A(_067_),
    .B(_068_),
    .Y(_069_)
  );
  sky130_fd_sc_hd__xnor3_1 _486_ (
    .A(_195_),
    .B(_196_),
    .C(_200_),
    .X(_228_)
  );
  sky130_fd_sc_hd__nand2_1 _487_ (
    .A(\rb[7] ),
    .B(\ra[0] ),
    .Y(_229_)
  );
  sky130_fd_sc_hd__maj3_1 _488_ (
    .A(_199_),
    .B(_223_),
    .C(_224_),
    .X(_230_)
  );
  sky130_fd_sc_hd__nand2_1 _489_ (
    .A(\ra[1] ),
    .B(\rb[6] ),
    .Y(_231_)
  );
  sky130_fd_sc_hd__xor3_1 _490_ (
    .A(_229_),
    .B(_230_),
    .C(_231_),
    .X(_232_)
  );
  sky130_fd_sc_hd__xnor2_1 _491_ (
    .A(_227_),
    .B(_228_),
    .Y(_233_)
  );
  sky130_fd_sc_hd__maj3_1 _492_ (
    .A(_227_),
    .B(_228_),
    .C(_232_),
    .X(_234_)
  );
  sky130_fd_sc_hd__xnor2_1 _493_ (
    .A(_207_),
    .B(_208_),
    .Y(_235_)
  );
  sky130_fd_sc_hd__nor2_1 _494_ (
    .A(_234_),
    .B(_235_),
    .Y(_236_)
  );
  sky130_fd_sc_hd__maj3_1 _495_ (
    .A(_229_),
    .B(_230_),
    .C(_231_),
    .X(_237_)
  );
  sky130_fd_sc_hd__and2_0 _496_ (
    .A(acc[9]),
    .B(\p[9] ),
    .X(_070_)
  );
  sky130_fd_sc_hd__xor3_1 _497_ (
    .A(_207_),
    .B(_208_),
    .C(_234_),
    .X(_238_)
  );
  sky130_fd_sc_hd__nor2_1 _498_ (
    .A(_237_),
    .B(_238_),
    .Y(_239_)
  );
  sky130_fd_sc_hd__nor2_1 _499_ (
    .A(_236_),
    .B(_239_),
    .Y(_240_)
  );
  sky130_fd_sc_hd__xnor2_1 _500_ (
    .A(_212_),
    .B(_213_),
    .Y(_241_)
  );
  sky130_fd_sc_hd__o21ai_0 _501_ (
    .A1(_236_),
    .A2(_239_),
    .B1(_241_),
    .Y(_242_)
  );
  sky130_fd_sc_hd__and2_0 _502_ (
    .A(\ra[3] ),
    .B(\rb[1] ),
    .X(_243_)
  );
  sky130_fd_sc_hd__nand2_1 _503_ (
    .A(\ra[3] ),
    .B(\rb[0] ),
    .Y(_244_)
  );
  sky130_fd_sc_hd__and2_0 _504_ (
    .A(\ra[2] ),
    .B(\rb[2] ),
    .X(_245_)
  );
  sky130_fd_sc_hd__maj3_1 _505_ (
    .A(_219_),
    .B(_243_),
    .C(_245_),
    .X(_246_)
  );
  sky130_fd_sc_hd__xnor3_1 _506_ (
    .A(_192_),
    .B(_218_),
    .C(_220_),
    .X(_247_)
  );
  sky130_fd_sc_hd__mux2_1 _507_ (
    .A0(\ra[7] ),
    .A1(a[7]),
    .S(en),
    .X(_051_)
  );
  sky130_fd_sc_hd__or2_0 _508_ (
    .A(acc[9]),
    .B(\p[9] ),
    .X(_071_)
  );
  sky130_fd_sc_hd__nand2_1 _509_ (
    .A(\ra[0] ),
    .B(\rb[5] ),
    .Y(_248_)
  );
  sky130_fd_sc_hd__nand2_1 _510_ (
    .A(\ra[1] ),
    .B(\rb[4] ),
    .Y(_249_)
  );
  sky130_fd_sc_hd__nand2_1 _511_ (
    .A(\ra[1] ),
    .B(\rb[3] ),
    .Y(_250_)
  );
  sky130_fd_sc_hd__xnor3_1 _512_ (
    .A(_225_),
    .B(_248_),
    .C(_249_),
    .X(_251_)
  );
  sky130_fd_sc_hd__maj3_1 _513_ (
    .A(_246_),
    .B(_247_),
    .C(_251_),
    .X(_252_)
  );
  sky130_fd_sc_hd__xnor3_1 _514_ (
    .A(_221_),
    .B(_222_),
    .C(_226_),
    .X(_253_)
  );
  sky130_fd_sc_hd__maj3_1 _515_ (
    .A(_225_),
    .B(_248_),
    .C(_249_),
    .X(_254_)
  );
  sky130_fd_sc_hd__nand2_1 _516_ (
    .A(\ra[0] ),
    .B(\rb[6] ),
    .Y(_255_)
  );
  sky130_fd_sc_hd__nor2_1 _517_ (
    .A(_254_),
    .B(_255_),
    .Y(_256_)
  );
  sky130_fd_sc_hd__xor2_1 _518_ (
    .A(_254_),
    .B(_255_),
    .X(_257_)
  );
  sky130_fd_sc_hd__nand2_1 _519_ (
    .A(acc[8]),
    .B(\p[8] ),
    .Y(_072_)
  );
  sky130_fd_sc_hd__xnor2_1 _520_ (
    .A(_252_),
    .B(_253_),
    .Y(_258_)
  );
  sky130_fd_sc_hd__maj3_1 _521_ (
    .A(_252_),
    .B(_253_),
    .C(_257_),
    .X(_259_)
  );
  sky130_fd_sc_hd__xor2_1 _522_ (
    .A(_232_),
    .B(_233_),
    .X(_260_)
  );
  sky130_fd_sc_hd__xor2_1 _523_ (
    .A(_259_),
    .B(_260_),
    .X(_261_)
  );
  sky130_fd_sc_hd__maj3_1 _524_ (
    .A(_256_),
    .B(_259_),
    .C(_260_),
    .X(_262_)
  );
  sky130_fd_sc_hd__xor2_1 _525_ (
    .A(_237_),
    .B(_238_),
    .X(_263_)
  );
  sky130_fd_sc_hd__nand2_1 _526_ (
    .A(_262_),
    .B(_263_),
    .Y(_264_)
  );
  sky130_fd_sc_hd__xnor2_1 _527_ (
    .A(_262_),
    .B(_263_),
    .Y(_265_)
  );
  sky130_fd_sc_hd__xnor2_1 _528_ (
    .A(_256_),
    .B(_261_),
    .Y(_266_)
  );
  sky130_fd_sc_hd__nand2_1 _529_ (
    .A(\ra[2] ),
    .B(\rb[1] ),
    .Y(_267_)
  );
  sky130_fd_sc_hd__nor2_1 _530_ (
    .A(acc[8]),
    .B(\p[8] ),
    .Y(_073_)
  );
  sky130_fd_sc_hd__nand2_1 _531_ (
    .A(\ra[2] ),
    .B(\rb[0] ),
    .Y(_268_)
  );
  sky130_fd_sc_hd__nand2_1 _532_ (
    .A(\ra[1] ),
    .B(\rb[2] ),
    .Y(_269_)
  );
  sky130_fd_sc_hd__xnor2_1 _533_ (
    .A(_244_),
    .B(_267_),
    .Y(_270_)
  );
  sky130_fd_sc_hd__maj3_1 _534_ (
    .A(_244_),
    .B(_267_),
    .C(_269_),
    .X(_271_)
  );
  sky130_fd_sc_hd__xnor3_1 _535_ (
    .A(_219_),
    .B(_243_),
    .C(_245_),
    .X(_272_)
  );
  sky130_fd_sc_hd__nand2_1 _536_ (
    .A(\ra[0] ),
    .B(\rb[4] ),
    .Y(_273_)
  );
  sky130_fd_sc_hd__nand2_1 _537_ (
    .A(\ra[0] ),
    .B(\rb[3] ),
    .Y(_274_)
  );
  sky130_fd_sc_hd__nor2_1 _538_ (
    .A(_250_),
    .B(_273_),
    .Y(_275_)
  );
  sky130_fd_sc_hd__xnor2_1 _539_ (
    .A(_250_),
    .B(_273_),
    .Y(_276_)
  );
  sky130_fd_sc_hd__maj3_1 _540_ (
    .A(_271_),
    .B(_272_),
    .C(_276_),
    .X(_277_)
  );
  sky130_fd_sc_hd__xor2_1 _541_ (
    .A(acc[8]),
    .B(\p[8] ),
    .X(_074_)
  );
  sky130_fd_sc_hd__clkinv_1 _542_ (
    .A(_277_),
    .Y(_278_)
  );
  sky130_fd_sc_hd__xor3_1 _543_ (
    .A(_246_),
    .B(_247_),
    .C(_251_),
    .X(_279_)
  );
  sky130_fd_sc_hd__xor2_1 _544_ (
    .A(_277_),
    .B(_279_),
    .X(_280_)
  );
  sky130_fd_sc_hd__maj3_1 _545_ (
    .A(_275_),
    .B(_278_),
    .C(_279_),
    .X(_281_)
  );
  sky130_fd_sc_hd__xnor2_1 _546_ (
    .A(_257_),
    .B(_258_),
    .Y(_282_)
  );
  sky130_fd_sc_hd__nand2_1 _547_ (
    .A(_281_),
    .B(_282_),
    .Y(_283_)
  );
  sky130_fd_sc_hd__xnor2_1 _548_ (
    .A(_281_),
    .B(_282_),
    .Y(_284_)
  );
  sky130_fd_sc_hd__nand2_1 _549_ (
    .A(\ra[1] ),
    .B(\rb[1] ),
    .Y(_285_)
  );
  sky130_fd_sc_hd__nand2_1 _550_ (
    .A(\ra[0] ),
    .B(\rb[2] ),
    .Y(_286_)
  );
  sky130_fd_sc_hd__xor2_1 _551_ (
    .A(_268_),
    .B(_285_),
    .X(_287_)
  );
  sky130_fd_sc_hd__and2_0 _552_ (
    .A(acc[7]),
    .B(\p[7] ),
    .X(_075_)
  );
  sky130_fd_sc_hd__maj3_1 _553_ (
    .A(_268_),
    .B(_285_),
    .C(_286_),
    .X(_288_)
  );
  sky130_fd_sc_hd__xnor2_1 _554_ (
    .A(_269_),
    .B(_270_),
    .Y(_289_)
  );
  sky130_fd_sc_hd__maj3_1 _555_ (
    .A(_274_),
    .B(_288_),
    .C(_289_),
    .X(_290_)
  );
  sky130_fd_sc_hd__xnor3_1 _556_ (
    .A(_271_),
    .B(_272_),
    .C(_276_),
    .X(_291_)
  );
  sky130_fd_sc_hd__nand2b_1 _557_ (
    .A_N(_290_),
    .B(_291_),
    .Y(_292_)
  );
  sky130_fd_sc_hd__xnor2_1 _558_ (
    .A(_275_),
    .B(_280_),
    .Y(_293_)
  );
  sky130_fd_sc_hd__nand2b_1 _559_ (
    .A_N(_292_),
    .B(_293_),
    .Y(_294_)
  );
  sky130_fd_sc_hd__nand2_1 _560_ (
    .A(\ra[0] ),
    .B(\rb[0] ),
    .Y(_295_)
  );
  sky130_fd_sc_hd__nand4_1 _561_ (
    .A(\ra[0] ),
    .B(\ra[1] ),
    .C(\rb[0] ),
    .D(\rb[1] ),
    .Y(_296_)
  );
  sky130_fd_sc_hd__xnor2_1 _562_ (
    .A(_286_),
    .B(_287_),
    .Y(_297_)
  );
  sky130_fd_sc_hd__nor2_1 _563_ (
    .A(acc[7]),
    .B(\p[7] ),
    .Y(_076_)
  );
  sky130_fd_sc_hd__nand2b_1 _564_ (
    .A_N(_296_),
    .B(_297_),
    .Y(_298_)
  );
  sky130_fd_sc_hd__xor3_1 _565_ (
    .A(_274_),
    .B(_288_),
    .C(_289_),
    .X(_299_)
  );
  sky130_fd_sc_hd__nor2_1 _566_ (
    .A(_298_),
    .B(_299_),
    .Y(_300_)
  );
  sky130_fd_sc_hd__nand2b_1 _567_ (
    .A_N(_291_),
    .B(_290_),
    .Y(_301_)
  );
  sky130_fd_sc_hd__and2_0 _568_ (
    .A(_292_),
    .B(_301_),
    .X(_302_)
  );
  sky130_fd_sc_hd__nand2_1 _569_ (
    .A(_300_),
    .B(_302_),
    .Y(_303_)
  );
  sky130_fd_sc_hd__xor2_1 _570_ (
    .A(_292_),
    .B(_293_),
    .X(_304_)
  );
  sky130_fd_sc_hd__nand4_1 _571_ (
    .A(_292_),
    .B(_293_),
    .C(_300_),
    .D(_301_),
    .Y(_305_)
  );
  sky130_fd_sc_hd__a21o_1 _572_ (
    .A1(_294_),
    .A2(_305_),
    .B1(_284_),
    .X(_306_)
  );
  sky130_fd_sc_hd__a21oi_1 _573_ (
    .A1(_283_),
    .A2(_306_),
    .B1(_266_),
    .Y(_307_)
  );
  sky130_fd_sc_hd__and2_0 _574_ (
    .A(acc[6]),
    .B(\p[6] ),
    .X(_077_)
  );
  sky130_fd_sc_hd__a211o_1 _575_ (
    .A1(_283_),
    .A2(_306_),
    .B1(_265_),
    .C1(_266_),
    .X(_308_)
  );
  sky130_fd_sc_hd__xor2_1 _576_ (
    .A(_240_),
    .B(_241_),
    .X(_309_)
  );
  sky130_fd_sc_hd__a21o_1 _577_ (
    .A1(_264_),
    .A2(_308_),
    .B1(_309_),
    .X(_310_)
  );
  sky130_fd_sc_hd__nand2_1 _578_ (
    .A(_242_),
    .B(_310_),
    .Y(_311_)
  );
  sky130_fd_sc_hd__xor2_1 _579_ (
    .A(_215_),
    .B(_216_),
    .X(_312_)
  );
  sky130_fd_sc_hd__a21boi_0 _580_ (
    .A1(_242_),
    .A2(_310_),
    .B1_N(_312_),
    .Y(_313_)
  );
  sky130_fd_sc_hd__xor2_1 _581_ (
    .A(_189_),
    .B(_190_),
    .X(_314_)
  );
  sky130_fd_sc_hd__o21a_1 _582_ (
    .A1(_217_),
    .A2(_313_),
    .B1(_314_),
    .X(_315_)
  );
  sky130_fd_sc_hd__nor3_1 _583_ (
    .A(_159_),
    .B(_162_),
    .C(_163_),
    .Y(_316_)
  );
  sky130_fd_sc_hd__nor2_1 _584_ (
    .A(_164_),
    .B(_316_),
    .Y(_317_)
  );
  sky130_fd_sc_hd__nand2_1 _585_ (
    .A(acc[1]),
    .B(\p[1] ),
    .Y(_078_)
  );
  sky130_fd_sc_hd__o21a_1 _586_ (
    .A1(_191_),
    .A2(_315_),
    .B1(_317_),
    .X(_318_)
  );
  sky130_fd_sc_hd__nand2_1 _587_ (
    .A(_137_),
    .B(_142_),
    .Y(_319_)
  );
  sky130_fd_sc_hd__nand2_1 _588_ (
    .A(_143_),
    .B(_319_),
    .Y(_320_)
  );
  sky130_fd_sc_hd__o21bai_1 _589_ (
    .A1(_164_),
    .A2(_318_),
    .B1_N(_320_),
    .Y(_321_)
  );
  sky130_fd_sc_hd__nand3_1 _590_ (
    .A(\ra[7] ),
    .B(\rb[7] ),
    .C(_127_),
    .Y(_322_)
  );
  sky130_fd_sc_hd__maj3_1 _591_ (
    .A(_133_),
    .B(_138_),
    .C(_140_),
    .X(_323_)
  );
  sky130_fd_sc_hd__xor2_1 _592_ (
    .A(_322_),
    .B(_323_),
    .X(_324_)
  );
  sky130_fd_sc_hd__a21o_1 _593_ (
    .A1(_143_),
    .A2(_321_),
    .B1(_324_),
    .X(_325_)
  );
  sky130_fd_sc_hd__o211ai_1 _594_ (
    .A1(_128_),
    .A2(_323_),
    .B1(\ra[7] ),
    .C1(\rb[7] ),
    .Y(_326_)
  );
  sky130_fd_sc_hd__a31oi_1 _595_ (
    .A1(en),
    .A2(_325_),
    .A3(_326_),
    .B1(_110_),
    .Y(_047_)
  );
  sky130_fd_sc_hd__nand2_1 _596_ (
    .A(acc[0]),
    .B(\p[0] ),
    .Y(_079_)
  );
  sky130_fd_sc_hd__mux2_1 _597_ (
    .A0(\rb[7] ),
    .A1(b[7]),
    .S(en),
    .X(_046_)
  );
  sky130_fd_sc_hd__mux2_1 _598_ (
    .A0(\ra[0] ),
    .A1(a[0]),
    .S(en),
    .X(_045_)
  );
  sky130_fd_sc_hd__mux2_1 _599_ (
    .A0(\ra[1] ),
    .A1(a[1]),
    .S(en),
    .X(_044_)
  );
  sky130_fd_sc_hd__mux2_1 _600_ (
    .A0(\ra[2] ),
    .A1(a[2]),
    .S(en),
    .X(_043_)
  );
  sky130_fd_sc_hd__mux2_1 _601_ (
    .A0(\ra[3] ),
    .A1(a[3]),
    .S(en),
    .X(_042_)
  );
  sky130_fd_sc_hd__mux2_1 _602_ (
    .A0(\ra[4] ),
    .A1(a[4]),
    .S(en),
    .X(_041_)
  );
  sky130_fd_sc_hd__mux2_1 _603_ (
    .A0(\ra[5] ),
    .A1(a[5]),
    .S(en),
    .X(_040_)
  );
  sky130_fd_sc_hd__mux2_1 _604_ (
    .A0(\ra[6] ),
    .A1(a[6]),
    .S(en),
    .X(_039_)
  );
  sky130_fd_sc_hd__xnor2_1 _605_ (
    .A(_062_),
    .B(_099_),
    .Y(_327_)
  );
  sky130_fd_sc_hd__nor2_1 _606_ (
    .A(en),
    .B(acc[12]),
    .Y(_328_)
  );
  sky130_fd_sc_hd__xnor2_1 _607_ (
    .A(acc[1]),
    .B(\p[1] ),
    .Y(_080_)
  );
  sky130_fd_sc_hd__a21oi_1 _608_ (
    .A1(en),
    .A2(_327_),
    .B1(_328_),
    .Y(_038_)
  );
  sky130_fd_sc_hd__xnor2_1 _609_ (
    .A(_069_),
    .B(_096_),
    .Y(_329_)
  );
  sky130_fd_sc_hd__nor2_1 _610_ (
    .A(en),
    .B(acc[10]),
    .Y(_330_)
  );
  sky130_fd_sc_hd__a21oi_1 _611_ (
    .A1(en),
    .A2(_329_),
    .B1(_330_),
    .Y(_037_)
  );
  sky130_fd_sc_hd__xnor2_1 _612_ (
    .A(_074_),
    .B(_094_),
    .Y(_331_)
  );
  sky130_fd_sc_hd__nor2_1 _613_ (
    .A(en),
    .B(acc[8]),
    .Y(_332_)
  );
  sky130_fd_sc_hd__a21oi_1 _614_ (
    .A1(en),
    .A2(_331_),
    .B1(_332_),
    .Y(_036_)
  );
  sky130_fd_sc_hd__xnor2_1 _615_ (
    .A(\p[15] ),
    .B(acc[15]),
    .Y(_333_)
  );
  sky130_fd_sc_hd__xnor2_1 _616_ (
    .A(_102_),
    .B(_333_),
    .Y(_334_)
  );
  sky130_fd_sc_hd__nor2_1 _617_ (
    .A(en),
    .B(acc[15]),
    .Y(_335_)
  );
  sky130_fd_sc_hd__nand2_1 _618_ (
    .A(\p[15] ),
    .B(acc[15]),
    .Y(_054_)
  );
  sky130_fd_sc_hd__o21ai_0 _619_ (
    .A1(_079_),
    .A2(_080_),
    .B1(_078_),
    .Y(_081_)
  );
  sky130_fd_sc_hd__a21oi_1 _620_ (
    .A1(en),
    .A2(_334_),
    .B1(_335_),
    .Y(_035_)
  );
  sky130_fd_sc_hd__xnor2_1 _621_ (
    .A(_089_),
    .B(_091_),
    .Y(_336_)
  );
  sky130_fd_sc_hd__nor2_1 _622_ (
    .A(en),
    .B(acc[6]),
    .Y(_337_)
  );
  sky130_fd_sc_hd__a21oi_1 _623_ (
    .A1(en),
    .A2(_336_),
    .B1(_337_),
    .Y(_034_)
  );
  sky130_fd_sc_hd__nor2_1 _624_ (
    .A(en),
    .B(acc[11]),
    .Y(_338_)
  );
  sky130_fd_sc_hd__nand2_1 _625_ (
    .A(_064_),
    .B(_066_),
    .Y(_339_)
  );
  sky130_fd_sc_hd__xnor2_1 _626_ (
    .A(_098_),
    .B(_339_),
    .Y(_340_)
  );
  sky130_fd_sc_hd__a21oi_1 _627_ (
    .A1(en),
    .A2(_340_),
    .B1(_338_),
    .Y(_033_)
  );
  sky130_fd_sc_hd__nor2b_1 _628_ (
    .A(en),
    .B_N(\p[14] ),
    .Y(_341_)
  );
  sky130_fd_sc_hd__nand3_1 _629_ (
    .A(_143_),
    .B(_321_),
    .C(_324_),
    .Y(_342_)
  );
  sky130_fd_sc_hd__xor2_1 _630_ (
    .A(acc[2]),
    .B(\p[2] ),
    .X(_082_)
  );
  sky130_fd_sc_hd__a31o_1 _631_ (
    .A1(en),
    .A2(_325_),
    .A3(_342_),
    .B1(_341_),
    .X(_032_)
  );
  sky130_fd_sc_hd__xnor2_1 _632_ (
    .A(_057_),
    .B(_101_),
    .Y(_343_)
  );
  sky130_fd_sc_hd__nor2_1 _633_ (
    .A(en),
    .B(acc[14]),
    .Y(_344_)
  );
  sky130_fd_sc_hd__a21oi_1 _634_ (
    .A1(en),
    .A2(_343_),
    .B1(_344_),
    .Y(_031_)
  );
  sky130_fd_sc_hd__nor2_1 _635_ (
    .A(acc[16]),
    .B(_104_),
    .Y(_345_)
  );
  sky130_fd_sc_hd__nor2_1 _636_ (
    .A(_105_),
    .B(_345_),
    .Y(_030_)
  );
  sky130_fd_sc_hd__xnor2_1 _637_ (
    .A(acc[13]),
    .B(\p[13] ),
    .Y(_346_)
  );
  sky130_fd_sc_hd__nand3_1 _638_ (
    .A(_060_),
    .B(_100_),
    .C(_346_),
    .Y(_347_)
  );
  sky130_fd_sc_hd__a21oi_1 _639_ (
    .A1(_060_),
    .A2(_100_),
    .B1(_346_),
    .Y(_348_)
  );
  sky130_fd_sc_hd__nor3b_1 _640_ (
    .A(_348_),
    .B(_052_),
    .C_N(_347_),
    .Y(_349_)
  );
  sky130_fd_sc_hd__maj3_1 _641_ (
    .A(acc[2]),
    .B(\p[2] ),
    .C(_081_),
    .X(_083_)
  );
  sky130_fd_sc_hd__a21o_1 _642_ (
    .A1(_052_),
    .A2(acc[13]),
    .B1(_349_),
    .X(_029_)
  );
  sky130_fd_sc_hd__xnor2_1 _643_ (
    .A(_079_),
    .B(_080_),
    .Y(_350_)
  );
  sky130_fd_sc_hd__nor2_1 _644_ (
    .A(en),
    .B(acc[1]),
    .Y(_351_)
  );
  sky130_fd_sc_hd__a21oi_1 _645_ (
    .A1(en),
    .A2(_350_),
    .B1(_351_),
    .Y(_028_)
  );
  sky130_fd_sc_hd__nor3b_1 _646_ (
    .A(_164_),
    .B(_318_),
    .C_N(_320_),
    .Y(_352_)
  );
  sky130_fd_sc_hd__nand2_1 _647_ (
    .A(en),
    .B(_321_),
    .Y(_353_)
  );
  sky130_fd_sc_hd__o2bb2ai_1 _648_ (
    .A1_N(_052_),
    .A2_N(\p[13] ),
    .B1(_352_),
    .B2(_353_),
    .Y(_027_)
  );
  sky130_fd_sc_hd__xnor2_1 _649_ (
    .A(_083_),
    .B(_084_),
    .Y(_354_)
  );
  sky130_fd_sc_hd__nor2_1 _650_ (
    .A(en),
    .B(acc[3]),
    .Y(_355_)
  );
  sky130_fd_sc_hd__a21oi_1 _651_ (
    .A1(en),
    .A2(_354_),
    .B1(_355_),
    .Y(_026_)
  );
  sky130_fd_sc_hd__xor2_1 _652_ (
    .A(acc[3]),
    .B(\p[3] ),
    .X(_084_)
  );
  sky130_fd_sc_hd__nand2_1 _653_ (
    .A(en),
    .B(\p[0] ),
    .Y(_356_)
  );
  sky130_fd_sc_hd__xnor2_1 _654_ (
    .A(acc[0]),
    .B(_356_),
    .Y(_025_)
  );
  sky130_fd_sc_hd__xnor2_1 _655_ (
    .A(_087_),
    .B(_088_),
    .Y(_357_)
  );
  sky130_fd_sc_hd__nor2_1 _656_ (
    .A(en),
    .B(acc[5]),
    .Y(_358_)
  );
  sky130_fd_sc_hd__a21oi_1 _657_ (
    .A1(en),
    .A2(_357_),
    .B1(_358_),
    .Y(_024_)
  );
  sky130_fd_sc_hd__nor3_1 _658_ (
    .A(_191_),
    .B(_315_),
    .C(_317_),
    .Y(_359_)
  );
  sky130_fd_sc_hd__nor3_1 _659_ (
    .A(_052_),
    .B(_318_),
    .C(_359_),
    .Y(_360_)
  );
  sky130_fd_sc_hd__a21o_1 _660_ (
    .A1(_052_),
    .A2(\p[12] ),
    .B1(_360_),
    .X(_023_)
  );
  sky130_fd_sc_hd__nor2_1 _661_ (
    .A(_075_),
    .B(_076_),
    .Y(_361_)
  );
  sky130_fd_sc_hd__xor2_1 _662_ (
    .A(_092_),
    .B(_361_),
    .X(_362_)
  );
  sky130_fd_sc_hd__maj3_1 _663_ (
    .A(acc[3]),
    .B(\p[3] ),
    .C(_083_),
    .X(_085_)
  );
  sky130_fd_sc_hd__mux2_1 _664_ (
    .A0(acc[7]),
    .A1(_362_),
    .S(en),
    .X(_022_)
  );
  sky130_fd_sc_hd__nor2b_1 _665_ (
    .A(_070_),
    .B_N(_071_),
    .Y(_363_)
  );
  sky130_fd_sc_hd__xnor2_1 _666_ (
    .A(_095_),
    .B(_363_),
    .Y(_364_)
  );
  sky130_fd_sc_hd__nor2_1 _667_ (
    .A(en),
    .B(acc[9]),
    .Y(_365_)
  );
  sky130_fd_sc_hd__a21oi_1 _668_ (
    .A1(en),
    .A2(_364_),
    .B1(_365_),
    .Y(_021_)
  );
  sky130_fd_sc_hd__xor2_1 _669_ (
    .A(acc[17]),
    .B(_105_),
    .X(_020_)
  );
  sky130_fd_sc_hd__xnor2_1 _670_ (
    .A(_081_),
    .B(_082_),
    .Y(_366_)
  );
  sky130_fd_sc_hd__nor2_1 _671_ (
    .A(en),
    .B(acc[2]),
    .Y(_367_)
  );
  sky130_fd_sc_hd__a21oi_1 _672_ (
    .A1(en),
    .A2(_366_),
    .B1(_367_),
    .Y(_019_)
  );
  sky130_fd_sc_hd__mux2_1 _673_ (
    .A0(\rb[0] ),
    .A1(b[0]),
    .S(en),
    .X(_018_)
  );
  sky130_fd_sc_hd__xor2_1 _674_ (
    .A(acc[4]),
    .B(\p[4] ),
    .X(_086_)
  );
  sky130_fd_sc_hd__mux2_1 _675_ (
    .A0(\rb[1] ),
    .A1(b[1]),
    .S(en),
    .X(_017_)
  );
  sky130_fd_sc_hd__mux2_1 _676_ (
    .A0(\rb[2] ),
    .A1(b[2]),
    .S(en),
    .X(_016_)
  );
  sky130_fd_sc_hd__mux2_1 _677_ (
    .A0(\rb[3] ),
    .A1(b[3]),
    .S(en),
    .X(_015_)
  );
  sky130_fd_sc_hd__mux2_1 _678_ (
    .A0(\rb[4] ),
    .A1(b[4]),
    .S(en),
    .X(_014_)
  );
  sky130_fd_sc_hd__mux2_1 _679_ (
    .A0(\rb[5] ),
    .A1(b[5]),
    .S(en),
    .X(_013_)
  );
  sky130_fd_sc_hd__mux2_1 _680_ (
    .A0(\rb[6] ),
    .A1(b[6]),
    .S(en),
    .X(_012_)
  );
  sky130_fd_sc_hd__nor2_1 _681_ (
    .A(en),
    .B(\p[0] ),
    .Y(_368_)
  );
  sky130_fd_sc_hd__a21oi_1 _682_ (
    .A1(en),
    .A2(_295_),
    .B1(_368_),
    .Y(_011_)
  );
  sky130_fd_sc_hd__a22oi_1 _683_ (
    .A1(\ra[1] ),
    .A2(\rb[0] ),
    .B1(\rb[1] ),
    .B2(\ra[0] ),
    .Y(_369_)
  );
  sky130_fd_sc_hd__nand2_1 _684_ (
    .A(en),
    .B(_296_),
    .Y(_370_)
  );
  sky130_fd_sc_hd__maj3_1 _685_ (
    .A(acc[4]),
    .B(\p[4] ),
    .C(_085_),
    .X(_087_)
  );
  sky130_fd_sc_hd__o2bb2ai_1 _686_ (
    .A1_N(_052_),
    .A2_N(\p[1] ),
    .B1(_369_),
    .B2(_370_),
    .Y(_010_)
  );
  sky130_fd_sc_hd__xor2_1 _687_ (
    .A(_296_),
    .B(_297_),
    .X(_371_)
  );
  sky130_fd_sc_hd__nor2_1 _688_ (
    .A(en),
    .B(\p[2] ),
    .Y(_372_)
  );
  sky130_fd_sc_hd__a21oi_1 _689_ (
    .A1(en),
    .A2(_371_),
    .B1(_372_),
    .Y(_009_)
  );
  sky130_fd_sc_hd__xnor2_1 _690_ (
    .A(_298_),
    .B(_299_),
    .Y(_373_)
  );
  sky130_fd_sc_hd__nor2_1 _691_ (
    .A(en),
    .B(\p[3] ),
    .Y(_374_)
  );
  sky130_fd_sc_hd__a21oi_1 _692_ (
    .A1(en),
    .A2(_373_),
    .B1(_374_),
    .Y(_008_)
  );
  sky130_fd_sc_hd__nor2_1 _693_ (
    .A(_300_),
    .B(_302_),
    .Y(_375_)
  );
  sky130_fd_sc_hd__nand2_1 _694_ (
    .A(en),
    .B(_303_),
    .Y(_376_)
  );
  sky130_fd_sc_hd__o2bb2ai_1 _695_ (
    .A1_N(_052_),
    .A2_N(\p[4] ),
    .B1(_375_),
    .B2(_376_),
    .Y(_007_)
  );
  sky130_fd_sc_hd__xor2_1 _696_ (
    .A(acc[5]),
    .B(\p[5] ),
    .X(_088_)
  );
  sky130_fd_sc_hd__nand2_1 _697_ (
    .A(_303_),
    .B(_304_),
    .Y(_377_)
  );
  sky130_fd_sc_hd__nand2_1 _698_ (
    .A(_305_),
    .B(_377_),
    .Y(_378_)
  );
  sky130_fd_sc_hd__nor2_1 _699_ (
    .A(en),
    .B(\p[5] ),
    .Y(_379_)
  );
  sky130_fd_sc_hd__a21oi_1 _700_ (
    .A1(en),
    .A2(_378_),
    .B1(_379_),
    .Y(_006_)
  );
  sky130_fd_sc_hd__nand3_1 _701_ (
    .A(_284_),
    .B(_294_),
    .C(_305_),
    .Y(_380_)
  );
  sky130_fd_sc_hd__a21oi_1 _702_ (
    .A1(_306_),
    .A2(_380_),
    .B1(_052_),
    .Y(_381_)
  );
  sky130_fd_sc_hd__nor2_1 _703_ (
    .A(en),
    .B(\p[6] ),
    .Y(_382_)
  );
  sky130_fd_sc_hd__nor2_1 _704_ (
    .A(_381_),
    .B(_382_),
    .Y(_005_)
  );
  sky130_fd_sc_hd__nor2_1 _705_ (
    .A(en),
    .B(\p[7] ),
    .Y(_383_)
  );
  sky130_fd_sc_hd__nand3_1 _706_ (
    .A(_266_),
    .B(_283_),
    .C(_306_),
    .Y(_384_)
  );
  sky130_fd_sc_hd__maj3_1 _707_ (
    .A(acc[5]),
    .B(\p[5] ),
    .C(_087_),
    .X(_089_)
  );
  sky130_fd_sc_hd__nand2b_1 _708_ (
    .A_N(_307_),
    .B(_384_),
    .Y(_385_)
  );
  sky130_fd_sc_hd__a21oi_1 _709_ (
    .A1(en),
    .A2(_385_),
    .B1(_383_),
    .Y(_004_)
  );
  sky130_fd_sc_hd__xor2_1 _710_ (
    .A(_265_),
    .B(_307_),
    .X(_386_)
  );
  sky130_fd_sc_hd__nor2_1 _711_ (
    .A(en),
    .B(\p[8] ),
    .Y(_387_)
  );
  sky130_fd_sc_hd__a21oi_1 _712_ (
    .A1(en),
    .A2(_386_),
    .B1(_387_),
    .Y(_003_)
  );
  sky130_fd_sc_hd__nand3_1 _713_ (
    .A(_264_),
    .B(_308_),
    .C(_309_),
    .Y(_388_)
  );
  sky130_fd_sc_hd__a21oi_1 _714_ (
    .A1(_310_),
    .A2(_388_),
    .B1(_052_),
    .Y(_389_)
  );
  sky130_fd_sc_hd__nor2_1 _715_ (
    .A(en),
    .B(\p[9] ),
    .Y(_390_)
  );
  sky130_fd_sc_hd__nor2_1 _716_ (
    .A(_389_),
    .B(_390_),
    .Y(_002_)
  );
  sky130_fd_sc_hd__xnor2_1 _717_ (
    .A(_311_),
    .B(_312_),
    .Y(_391_)
  );
  sky130_fd_sc_hd__nor2_1 _718_ (
    .A(acc[6]),
    .B(\p[6] ),
    .Y(_090_)
  );
  sky130_fd_sc_hd__nor2_1 _719_ (
    .A(en),
    .B(\p[10] ),
    .Y(_392_)
  );
  sky130_fd_sc_hd__a21oi_1 _720_ (
    .A1(en),
    .A2(_391_),
    .B1(_392_),
    .Y(_001_)
  );
  sky130_fd_sc_hd__nor3_1 _721_ (
    .A(_217_),
    .B(_313_),
    .C(_314_),
    .Y(_393_)
  );
  sky130_fd_sc_hd__nor3_1 _722_ (
    .A(_052_),
    .B(_315_),
    .C(_393_),
    .Y(_394_)
  );
  sky130_fd_sc_hd__a21o_1 _723_ (
    .A1(_052_),
    .A2(\p[11] ),
    .B1(_394_),
    .X(_000_)
  );
  sky130_fd_sc_hd__and2_0 _724_ (
    .A(\p[14] ),
    .B(acc[14]),
    .X(_055_)
  );
  sky130_fd_sc_hd__nor2_1 _725_ (
    .A(_077_),
    .B(_090_),
    .Y(_091_)
  );
  sky130_fd_sc_hd__a21o_1 _726_ (
    .A1(_089_),
    .A2(_091_),
    .B1(_077_),
    .X(_092_)
  );
  sky130_fd_sc_hd__a211oi_1 _727_ (
    .A1(_089_),
    .A2(_091_),
    .B1(_075_),
    .C1(_077_),
    .Y(_093_)
  );
  sky130_fd_sc_hd__nor2_1 _728_ (
    .A(_076_),
    .B(_093_),
    .Y(_094_)
  );
  sky130_fd_sc_hd__o31ai_1 _729_ (
    .A1(_073_),
    .A2(_076_),
    .A3(_093_),
    .B1(_072_),
    .Y(_095_)
  );
  sky130_fd_sc_hd__o21a_1 _730_ (
    .A1(_070_),
    .A2(_095_),
    .B1(_071_),
    .X(_096_)
  );
  sky130_fd_sc_hd__o211a_1 _731_ (
    .A1(_070_),
    .A2(_095_),
    .B1(_071_),
    .C1(_069_),
    .X(_097_)
  );
  sky130_fd_sc_hd__nor2_1 _732_ (
    .A(_067_),
    .B(_097_),
    .Y(_098_)
  );
  sky130_fd_sc_hd__a21oi_1 _733_ (
    .A1(_064_),
    .A2(_098_),
    .B1(_065_),
    .Y(_099_)
  );
  sky130_fd_sc_hd__o311ai_0 _734_ (
    .A1(_063_),
    .A2(_067_),
    .A3(_097_),
    .B1(_066_),
    .C1(_062_),
    .Y(_100_)
  );
  sky130_fd_sc_hd__nor2_1 _735_ (
    .A(\p[14] ),
    .B(acc[14]),
    .Y(_056_)
  );
  sky130_fd_sc_hd__a31oi_1 _736_ (
    .A1(_058_),
    .A2(_060_),
    .A3(_100_),
    .B1(_059_),
    .Y(_101_)
  );
  sky130_fd_sc_hd__a21oi_1 _737_ (
    .A1(_057_),
    .A2(_101_),
    .B1(_055_),
    .Y(_102_)
  );
  sky130_fd_sc_hd__o21ai_0 _738_ (
    .A1(\p[15] ),
    .A2(acc[15]),
    .B1(en),
    .Y(_103_)
  );
  sky130_fd_sc_hd__a21oi_1 _739_ (
    .A1(_054_),
    .A2(_102_),
    .B1(_103_),
    .Y(_104_)
  );
  sky130_fd_sc_hd__a211oi_1 _740_ (
    .A1(_054_),
    .A2(_102_),
    .B1(_103_),
    .C1(_053_),
    .Y(_105_)
  );
  sky130_fd_sc_hd__nand2_1 _741_ (
    .A(acc[17]),
    .B(_105_),
    .Y(_106_)
  );
  sky130_fd_sc_hd__nand3_1 _742_ (
    .A(acc[18]),
    .B(acc[17]),
    .C(_105_),
    .Y(_107_)
  );
  sky130_fd_sc_hd__xnor2_1 _743_ (
    .A(acc[18]),
    .B(_106_),
    .Y(_050_)
  );
  sky130_fd_sc_hd__xnor2_1 _744_ (
    .A(_085_),
    .B(_086_),
    .Y(_108_)
  );
  sky130_fd_sc_hd__nor2_1 _745_ (
    .A(en),
    .B(acc[4]),
    .Y(_109_)
  );
  sky130_fd_sc_hd__nor2_1 _746_ (
    .A(_055_),
    .B(_056_),
    .Y(_057_)
  );
  sky130_fd_sc_hd__a21oi_1 _747_ (
    .A1(en),
    .A2(_108_),
    .B1(_109_),
    .Y(_049_)
  );
  sky130_fd_sc_hd__xnor2_1 _748_ (
    .A(acc[19]),
    .B(_107_),
    .Y(_048_)
  );
  sky130_fd_sc_hd__nor2_1 _749_ (
    .A(en),
    .B(\p[15] ),
    .Y(_110_)
  );
  sky130_fd_sc_hd__nand2_1 _750_ (
    .A(\rb[7] ),
    .B(\ra[4] ),
    .Y(_111_)
  );
  sky130_fd_sc_hd__nand2_1 _751_ (
    .A(\ra[6] ),
    .B(\rb[3] ),
    .Y(_112_)
  );
  sky130_fd_sc_hd__nand2_1 _752_ (
    .A(\ra[6] ),
    .B(\rb[4] ),
    .Y(_113_)
  );
  sky130_fd_sc_hd__nand2_1 _753_ (
    .A(\ra[7] ),
    .B(\rb[3] ),
    .Y(_114_)
  );
  sky130_fd_sc_hd__nand2_1 _754_ (
    .A(\ra[5] ),
    .B(\rb[5] ),
    .Y(_115_)
  );
  sky130_fd_sc_hd__xnor2_1 _755_ (
    .A(_113_),
    .B(_114_),
    .Y(_116_)
  );
  sky130_fd_sc_hd__maj3_1 _756_ (
    .A(_113_),
    .B(_114_),
    .C(_115_),
    .X(_117_)
  );
  sky130_fd_sc_hd__nand2_1 _757_ (
    .A(acc[13]),
    .B(\p[13] ),
    .Y(_058_)
  );
  sky130_fd_sc_hd__nand2_1 _758_ (
    .A(\ra[5] ),
    .B(\rb[6] ),
    .Y(_118_)
  );
  sky130_fd_sc_hd__xnor2_1 _759_ (
    .A(_117_),
    .B(_118_),
    .Y(_119_)
  );
  sky130_fd_sc_hd__xnor2_1 _760_ (
    .A(_111_),
    .B(_119_),
    .Y(_120_)
  );
  sky130_fd_sc_hd__nand2_1 _761_ (
    .A(\ra[7] ),
    .B(\rb[5] ),
    .Y(_121_)
  );
  sky130_fd_sc_hd__nor2_1 _762_ (
    .A(_113_),
    .B(_121_),
    .Y(_122_)
  );
  sky130_fd_sc_hd__a22oi_1 _763_ (
    .A1(\ra[7] ),
    .A2(\rb[4] ),
    .B1(\rb[5] ),
    .B2(\ra[6] ),
    .Y(_123_)
  );
  sky130_fd_sc_hd__nor2_1 _764_ (
    .A(_122_),
    .B(_123_),
    .Y(_124_)
  );
  sky130_fd_sc_hd__nand2b_1 _765_ (
    .A_N(_120_),
    .B(_124_),
    .Y(_125_)
  );
  sky130_fd_sc_hd__nand2_1 _766_ (
    .A(\rb[7] ),
    .B(\ra[5] ),
    .Y(_126_)
  );
  sky130_fd_sc_hd__nand2_1 _767_ (
    .A(\ra[6] ),
    .B(\rb[6] ),
    .Y(_127_)
  );
  sky130_fd_sc_hd__nor2_1 _768_ (
    .A(acc[13]),
    .B(\p[13] ),
    .Y(_059_)
  );
  sky130_fd_sc_hd__clkinv_1 _769_ (
    .A(_127_),
    .Y(_128_)
  );
  sky130_fd_sc_hd__nor2_1 _770_ (
    .A(_122_),
    .B(_128_),
    .Y(_129_)
  );
  sky130_fd_sc_hd__nand2_1 _771_ (
    .A(\rb[6] ),
    .B(_122_),
    .Y(_130_)
  );
  sky130_fd_sc_hd__a21oi_1 _772_ (
    .A1(\rb[6] ),
    .A2(_122_),
    .B1(_129_),
    .Y(_131_)
  );
  sky130_fd_sc_hd__xnor2_1 _773_ (
    .A(_126_),
    .B(_131_),
    .Y(_132_)
  );
  sky130_fd_sc_hd__nor2b_1 _774_ (
    .A(_121_),
    .B_N(_132_),
    .Y(_133_)
  );
  sky130_fd_sc_hd__xor2_1 _775_ (
    .A(_121_),
    .B(_132_),
    .X(_134_)
  );
  sky130_fd_sc_hd__maj3_1 _776_ (
    .A(_111_),
    .B(_117_),
    .C(_118_),
    .X(_135_)
  );
  sky130_fd_sc_hd__xnor2_1 _777_ (
    .A(_125_),
    .B(_134_),
    .Y(_136_)
  );
  sky130_fd_sc_hd__maj3_1 _778_ (
    .A(_125_),
    .B(_134_),
    .C(_135_),
    .X(_137_)
  );
  sky130_fd_sc_hd__nand2_1 _779_ (
    .A(acc[12]),
    .B(\p[12] ),
    .Y(_060_)
  );
  sky130_fd_sc_hd__o21ai_0 _780_ (
    .A1(_126_),
    .A2(_129_),
    .B1(_130_),
    .Y(_138_)
  );
  sky130_fd_sc_hd__a22oi_1 _781_ (
    .A1(\rb[7] ),
    .A2(\ra[6] ),
    .B1(\rb[6] ),
    .B2(\ra[7] ),
    .Y(_139_)
  );
  sky130_fd_sc_hd__a31oi_1 _782_ (
    .A1(\ra[7] ),
    .A2(\rb[7] ),
    .A3(_128_),
    .B1(_139_),
    .Y(_140_)
  );
  sky130_fd_sc_hd__xnor2_1 _783_ (
    .A(_133_),
    .B(_140_),
    .Y(_141_)
  );
  sky130_fd_sc_hd__xor2_1 _784_ (
    .A(_138_),
    .B(_141_),
    .X(_142_)
  );
  sky130_fd_sc_hd__or2_0 _785_ (
    .A(_137_),
    .B(_142_),
    .X(_143_)
  );
  sky130_fd_sc_hd__nand2_1 _786_ (
    .A(\ra[6] ),
    .B(\rb[1] ),
    .Y(_144_)
  );
  sky130_fd_sc_hd__nand2_1 _787_ (
    .A(\ra[4] ),
    .B(\rb[5] ),
    .Y(_145_)
  );
  sky130_fd_sc_hd__nand2_1 _788_ (
    .A(\ra[5] ),
    .B(\rb[4] ),
    .Y(_146_)
  );
  sky130_fd_sc_hd__nand2_1 _789_ (
    .A(\ra[5] ),
    .B(\rb[3] ),
    .Y(_147_)
  );
  sky130_fd_sc_hd__dfrtp_1 _790_ (
    .CLK(clk),
    .D(_012_),
    .Q(\rb[6] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _791_ (
    .CLK(clk),
    .D(_046_),
    .Q(\rb[7] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _792_ (
    .CLK(clk),
    .D(_011_),
    .Q(\p[0] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _793_ (
    .CLK(clk),
    .D(_010_),
    .Q(\p[1] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _794_ (
    .CLK(clk),
    .D(_009_),
    .Q(\p[2] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _795_ (
    .CLK(clk),
    .D(_008_),
    .Q(\p[3] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _796_ (
    .CLK(clk),
    .D(_007_),
    .Q(\p[4] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _797_ (
    .CLK(clk),
    .D(_006_),
    .Q(\p[5] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _798_ (
    .CLK(clk),
    .D(_005_),
    .Q(\p[6] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _799_ (
    .CLK(clk),
    .D(_004_),
    .Q(\p[7] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _800_ (
    .CLK(clk),
    .D(_003_),
    .Q(\p[8] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _801_ (
    .CLK(clk),
    .D(_002_),
    .Q(\p[9] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _802_ (
    .CLK(clk),
    .D(_001_),
    .Q(\p[10] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _803_ (
    .CLK(clk),
    .D(_000_),
    .Q(\p[11] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _804_ (
    .CLK(clk),
    .D(_023_),
    .Q(\p[12] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _805_ (
    .CLK(clk),
    .D(_027_),
    .Q(\p[13] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _806_ (
    .CLK(clk),
    .D(_032_),
    .Q(\p[14] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _807_ (
    .CLK(clk),
    .D(_047_),
    .Q(\p[15] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _808_ (
    .CLK(clk),
    .D(_025_),
    .Q(acc[0]),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _809_ (
    .CLK(clk),
    .D(_028_),
    .Q(acc[1]),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _810_ (
    .CLK(clk),
    .D(_019_),
    .Q(acc[2]),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _811_ (
    .CLK(clk),
    .D(_026_),
    .Q(acc[3]),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _812_ (
    .CLK(clk),
    .D(_049_),
    .Q(acc[4]),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _813_ (
    .CLK(clk),
    .D(_024_),
    .Q(acc[5]),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _814_ (
    .CLK(clk),
    .D(_034_),
    .Q(acc[6]),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _815_ (
    .CLK(clk),
    .D(_022_),
    .Q(acc[7]),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _816_ (
    .CLK(clk),
    .D(_036_),
    .Q(acc[8]),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _817_ (
    .CLK(clk),
    .D(_021_),
    .Q(acc[9]),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _818_ (
    .CLK(clk),
    .D(_037_),
    .Q(acc[10]),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _819_ (
    .CLK(clk),
    .D(_033_),
    .Q(acc[11]),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _820_ (
    .CLK(clk),
    .D(_038_),
    .Q(acc[12]),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _821_ (
    .CLK(clk),
    .D(_029_),
    .Q(acc[13]),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _822_ (
    .CLK(clk),
    .D(_031_),
    .Q(acc[14]),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _823_ (
    .CLK(clk),
    .D(_035_),
    .Q(acc[15]),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _824_ (
    .CLK(clk),
    .D(_030_),
    .Q(acc[16]),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _825_ (
    .CLK(clk),
    .D(_020_),
    .Q(acc[17]),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _826_ (
    .CLK(clk),
    .D(_050_),
    .Q(acc[18]),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _827_ (
    .CLK(clk),
    .D(_048_),
    .Q(acc[19]),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _828_ (
    .CLK(clk),
    .D(_045_),
    .Q(\ra[0] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _829_ (
    .CLK(clk),
    .D(_044_),
    .Q(\ra[1] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _830_ (
    .CLK(clk),
    .D(_043_),
    .Q(\ra[2] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _831_ (
    .CLK(clk),
    .D(_042_),
    .Q(\ra[3] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _832_ (
    .CLK(clk),
    .D(_041_),
    .Q(\ra[4] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _833_ (
    .CLK(clk),
    .D(_040_),
    .Q(\ra[5] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _834_ (
    .CLK(clk),
    .D(_039_),
    .Q(\ra[6] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _835_ (
    .CLK(clk),
    .D(_051_),
    .Q(\ra[7] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _836_ (
    .CLK(clk),
    .D(_018_),
    .Q(\rb[0] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _837_ (
    .CLK(clk),
    .D(_017_),
    .Q(\rb[1] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _838_ (
    .CLK(clk),
    .D(_016_),
    .Q(\rb[2] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _839_ (
    .CLK(clk),
    .D(_015_),
    .Q(\rb[3] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _840_ (
    .CLK(clk),
    .D(_014_),
    .Q(\rb[4] ),
    .RESET_B(rst_n)
  );
  sky130_fd_sc_hd__dfrtp_1 _841_ (
    .CLK(clk),
    .D(_013_),
    .Q(\rb[5] ),
    .RESET_B(rst_n)
  );
endmodule

Check yourself

Predict the outputAt target density 0.6 the floorplan of the MAC reports a cell area of 4332.9056 µm². Global placement runs again at target density 0.95. What cell area does the global placement stage report, in µm²?
create_clock -name clk -period 5.0 [get_ports clk]
ConceptA net has pins at (2, 3), (14, 5), (8, 11) µm. What is its HPWL?
ConceptWhy can HPWL underestimate the wire of a net with many pins?
ConceptWhat does an overflow of 0.3 tell you about a global placement?
ConceptWhich statement about OpenROAD's global placement is wrong?

Remember

  • Global placement gives every cell a rough, continuous position that keeps connected cells close and spreads them enough to fit.
  • HPWL is the half perimeter of a net's pin bounding box: exact for two or three pins without obstacles, a lower bound for more.
  • The analytic placer minimizes wirelength plus a density penalty with an adaptive weight; overflow, the share of cell area above the target density, is its stop criterion.
  • Spreading can cost wire; low overflow still needs a separate legality check and legalization.