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mul12u_2CD_pdk45.v
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mul12u_2CD_pdk45.v
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/***
* This code is a part of EvoApproxLib library (ehw.fit.vutbr.cz/approxlib) distributed under The MIT License.
* When used, please cite the following article(s): V. Mrazek, Z. Vasicek, L. Sekanina, H. Jiang and J. Han, "Scalable Construction of Approximate Multipliers With Formally Guaranteed Worst Case Error" in IEEE Transactions on Very Large Scale Integration (VLSI) Systems, vol. 26, no. 11, pp. 2572-2576, Nov. 2018. doi: 10.1109/TVLSI.2018.2856362
* This file contains a circuit from a sub-set of pareto optimal circuits with respect to the pwr and ep parameters
***/
// MAE% = 0.0061 %
// MAE = 1024
// WCE% = 0.024 %
// WCE = 4097
// WCRE% = 100.00 %
// EP% = 62.49 %
// MRE% = 0.12 %
// MSE = 27962.037e2
// PDK45_PWR = 1.034 mW
// PDK45_AREA = 1472.7 um2
// PDK45_DELAY = 2.19 ns
module mul12u_2CD ( A, B, O );
input [11:0] A;
input [11:0] B;
output [23:0] O;
wire C_10_0,C_10_1,C_10_10,C_10_2,C_10_3,C_10_4,C_10_5,C_10_6,C_10_7,C_10_8,C_10_9,C_11_0,C_11_1,C_11_10,C_11_2,C_11_3,C_11_4,C_11_5,C_11_6,C_11_7,C_11_8,C_11_9,C_12_0,C_12_1,C_12_10,C_12_2,C_12_3,C_12_4,C_12_5,C_12_6,C_12_7,C_12_8,C_12_9,C_2_0,C_2_1,C_2_10,C_2_2,C_2_3,C_2_4,C_2_5,C_2_6,C_2_7,C_2_8,C_2_9,C_3_0,C_3_1,C_3_10,C_3_2,C_3_3,C_3_4,C_3_5,C_3_6,C_3_7,C_3_8,C_3_9,C_4_0,C_4_1,C_4_10,C_4_2,C_4_3,C_4_4,C_4_5,C_4_6,C_4_7,C_4_8,C_4_9,C_5_0,C_5_1,C_5_10,C_5_2,C_5_3,C_5_4,C_5_5,C_5_6,C_5_7,C_5_8,C_5_9,C_6_0,C_6_1,C_6_10,C_6_2,C_6_3,C_6_4,C_6_5,C_6_6,C_6_7,C_6_8,C_6_9,C_7_0,C_7_1,C_7_10,C_7_2,C_7_3,C_7_4,C_7_5,C_7_6,C_7_7,C_7_8,C_7_9,C_8_0,C_8_1,C_8_10,C_8_2,C_8_3,C_8_4,C_8_5,C_8_6,C_8_7,C_8_8,C_8_9,C_9_0,C_9_1,C_9_10,C_9_2,C_9_3,C_9_4,C_9_5,C_9_6,C_9_7,C_9_8,C_9_9,S_10_0,S_10_1,S_10_10,S_10_11,S_10_2,S_10_3,S_10_4,S_10_5,S_10_6,S_10_7,S_10_8,S_10_9,S_11_0,S_11_1,S_11_10,S_11_11,S_11_2,S_11_3,S_11_4,S_11_5,S_11_6,S_11_7,S_11_8,S_11_9,S_12_0,S_12_1,S_12_10,S_12_11,S_12_2,S_12_3,S_12_4,S_12_5,S_12_6,S_12_7,S_12_8,S_12_9,S_1_1,S_1_10,S_1_11,S_1_2,S_1_3,S_1_4,S_1_5,S_1_6,S_1_7,S_1_8,S_1_9,S_2_0,S_2_1,S_2_10,S_2_11,S_2_2,S_2_3,S_2_4,S_2_5,S_2_6,S_2_7,S_2_8,S_2_9,S_3_0,S_3_1,S_3_10,S_3_11,S_3_2,S_3_3,S_3_4,S_3_5,S_3_6,S_3_7,S_3_8,S_3_9,S_4_0,S_4_1,S_4_10,S_4_11,S_4_2,S_4_3,S_4_4,S_4_5,S_4_6,S_4_7,S_4_8,S_4_9,S_5_0,S_5_1,S_5_10,S_5_11,S_5_2,S_5_3,S_5_4,S_5_5,S_5_6,S_5_7,S_5_8,S_5_9,S_6_0,S_6_1,S_6_10,S_6_11,S_6_2,S_6_3,S_6_4,S_6_5,S_6_6,S_6_7,S_6_8,S_6_9,S_7_0,S_7_1,S_7_10,S_7_11,S_7_2,S_7_3,S_7_4,S_7_5,S_7_6,S_7_7,S_7_8,S_7_9,S_8_0,S_8_1,S_8_10,S_8_11,S_8_2,S_8_3,S_8_4,S_8_5,S_8_6,S_8_7,S_8_8,S_8_9,S_9_0,S_9_1,S_9_10,S_9_11,S_9_2,S_9_3,S_9_4,S_9_5,S_9_6,S_9_7,S_9_8,S_9_9;
assign S_1_1 = (A[1] & B[1]);
assign S_1_2 = (A[1] & B[2]);
assign S_1_3 = (A[1] & B[3]);
assign S_1_4 = (A[1] & B[4]);
assign S_1_5 = (A[1] & B[5]);
assign S_1_6 = (A[1] & B[6]);
assign S_1_7 = (A[1] & B[7]);
assign S_1_8 = (A[1] & B[8]);
assign S_1_9 = (A[1] & B[9]);
assign S_1_10 = (A[1] & B[10]);
assign S_1_11 = (A[1] & B[11]);
HAX1 U19297 (.A(S_1_1), .B((A[2] & B[0])), .YS(S_2_0), .YC(C_2_0));
HAX1 U19298 (.A(S_1_2), .B((A[2] & B[1])), .YS(S_2_1), .YC(C_2_1));
HAX1 U19299 (.A(S_1_3), .B((A[2] & B[2])), .YS(S_2_2), .YC(C_2_2));
HAX1 U19300 (.A(S_1_4), .B((A[2] & B[3])), .YS(S_2_3), .YC(C_2_3));
HAX1 U19301 (.A(S_1_5), .B((A[2] & B[4])), .YS(S_2_4), .YC(C_2_4));
HAX1 U19302 (.A(S_1_6), .B((A[2] & B[5])), .YS(S_2_5), .YC(C_2_5));
HAX1 U19303 (.A(S_1_7), .B((A[2] & B[6])), .YS(S_2_6), .YC(C_2_6));
HAX1 U19304 (.A(S_1_8), .B((A[2] & B[7])), .YS(S_2_7), .YC(C_2_7));
HAX1 U19305 (.A(S_1_9), .B((A[2] & B[8])), .YS(S_2_8), .YC(C_2_8));
HAX1 U19306 (.A(S_1_10), .B((A[2] & B[9])), .YS(S_2_9), .YC(C_2_9));
HAX1 U19307 (.A(S_1_11), .B((A[2] & B[10])), .YS(S_2_10), .YC(C_2_10));
assign S_2_11 = (A[2] & B[11]);
FAX1 U19309 (.A(S_2_1), .B(C_2_0), .C((A[3] & B[0])), .YS(S_3_0), .YC(C_3_0));
FAX1 U19310 (.A(S_2_2), .B(C_2_1), .C((A[3] & B[1])), .YS(S_3_1), .YC(C_3_1));
FAX1 U19311 (.A(S_2_3), .B(C_2_2), .C((A[3] & B[2])), .YS(S_3_2), .YC(C_3_2));
FAX1 U19312 (.A(S_2_4), .B(C_2_3), .C((A[3] & B[3])), .YS(S_3_3), .YC(C_3_3));
FAX1 U19313 (.A(S_2_5), .B(C_2_4), .C((A[3] & B[4])), .YS(S_3_4), .YC(C_3_4));
FAX1 U19314 (.A(S_2_6), .B(C_2_5), .C((A[3] & B[5])), .YS(S_3_5), .YC(C_3_5));
FAX1 U19315 (.A(S_2_7), .B(C_2_6), .C((A[3] & B[6])), .YS(S_3_6), .YC(C_3_6));
FAX1 U19316 (.A(S_2_8), .B(C_2_7), .C((A[3] & B[7])), .YS(S_3_7), .YC(C_3_7));
FAX1 U19317 (.A(S_2_9), .B(C_2_8), .C((A[3] & B[8])), .YS(S_3_8), .YC(C_3_8));
FAX1 U19318 (.A(S_2_10), .B(C_2_9), .C((A[3] & B[9])), .YS(S_3_9), .YC(C_3_9));
FAX1 U19319 (.A(S_2_11), .B(C_2_10), .C((A[3] & B[10])), .YS(S_3_10), .YC(C_3_10));
assign S_3_11 = (A[3] & B[11]);
FAX1 U19321 (.A(S_3_1), .B(C_3_0), .C((A[4] & B[0])), .YS(S_4_0), .YC(C_4_0));
FAX1 U19322 (.A(S_3_2), .B(C_3_1), .C((A[4] & B[1])), .YS(S_4_1), .YC(C_4_1));
FAX1 U19323 (.A(S_3_3), .B(C_3_2), .C((A[4] & B[2])), .YS(S_4_2), .YC(C_4_2));
FAX1 U19324 (.A(S_3_4), .B(C_3_3), .C((A[4] & B[3])), .YS(S_4_3), .YC(C_4_3));
FAX1 U19325 (.A(S_3_5), .B(C_3_4), .C((A[4] & B[4])), .YS(S_4_4), .YC(C_4_4));
FAX1 U19326 (.A(S_3_6), .B(C_3_5), .C((A[4] & B[5])), .YS(S_4_5), .YC(C_4_5));
FAX1 U19327 (.A(S_3_7), .B(C_3_6), .C((A[4] & B[6])), .YS(S_4_6), .YC(C_4_6));
FAX1 U19328 (.A(S_3_8), .B(C_3_7), .C((A[4] & B[7])), .YS(S_4_7), .YC(C_4_7));
FAX1 U19329 (.A(S_3_9), .B(C_3_8), .C((A[4] & B[8])), .YS(S_4_8), .YC(C_4_8));
FAX1 U19330 (.A(S_3_10), .B(C_3_9), .C((A[4] & B[9])), .YS(S_4_9), .YC(C_4_9));
FAX1 U19331 (.A(S_3_11), .B(C_3_10), .C((A[4] & B[10])), .YS(S_4_10), .YC(C_4_10));
assign S_4_11 = (A[4] & B[11]);
FAX1 U19333 (.A(S_4_1), .B(C_4_0), .C((A[5] & B[0])), .YS(S_5_0), .YC(C_5_0));
FAX1 U19334 (.A(S_4_2), .B(C_4_1), .C((A[5] & B[1])), .YS(S_5_1), .YC(C_5_1));
FAX1 U19335 (.A(S_4_3), .B(C_4_2), .C((A[5] & B[2])), .YS(S_5_2), .YC(C_5_2));
FAX1 U19336 (.A(S_4_4), .B(C_4_3), .C((A[5] & B[3])), .YS(S_5_3), .YC(C_5_3));
FAX1 U19337 (.A(S_4_5), .B(C_4_4), .C((A[5] & B[4])), .YS(S_5_4), .YC(C_5_4));
FAX1 U19338 (.A(S_4_6), .B(C_4_5), .C((A[5] & B[5])), .YS(S_5_5), .YC(C_5_5));
FAX1 U19339 (.A(S_4_7), .B(C_4_6), .C((A[5] & B[6])), .YS(S_5_6), .YC(C_5_6));
FAX1 U19340 (.A(S_4_8), .B(C_4_7), .C((A[5] & B[7])), .YS(S_5_7), .YC(C_5_7));
FAX1 U19341 (.A(S_4_9), .B(C_4_8), .C((A[5] & B[8])), .YS(S_5_8), .YC(C_5_8));
FAX1 U19342 (.A(S_4_10), .B(C_4_9), .C((A[5] & B[9])), .YS(S_5_9), .YC(C_5_9));
FAX1 U19343 (.A(S_4_11), .B(C_4_10), .C((A[5] & B[10])), .YS(S_5_10), .YC(C_5_10));
assign S_5_11 = (A[5] & B[11]);
FAX1 U19345 (.A(S_5_1), .B(C_5_0), .C((A[6] & B[0])), .YS(S_6_0), .YC(C_6_0));
FAX1 U19346 (.A(S_5_2), .B(C_5_1), .C((A[6] & B[1])), .YS(S_6_1), .YC(C_6_1));
FAX1 U19347 (.A(S_5_3), .B(C_5_2), .C((A[6] & B[2])), .YS(S_6_2), .YC(C_6_2));
FAX1 U19348 (.A(S_5_4), .B(C_5_3), .C((A[6] & B[3])), .YS(S_6_3), .YC(C_6_3));
FAX1 U19349 (.A(S_5_5), .B(C_5_4), .C((A[6] & B[4])), .YS(S_6_4), .YC(C_6_4));
FAX1 U19350 (.A(S_5_6), .B(C_5_5), .C((A[6] & B[5])), .YS(S_6_5), .YC(C_6_5));
FAX1 U19351 (.A(S_5_7), .B(C_5_6), .C((A[6] & B[6])), .YS(S_6_6), .YC(C_6_6));
FAX1 U19352 (.A(S_5_8), .B(C_5_7), .C((A[6] & B[7])), .YS(S_6_7), .YC(C_6_7));
FAX1 U19353 (.A(S_5_9), .B(C_5_8), .C((A[6] & B[8])), .YS(S_6_8), .YC(C_6_8));
FAX1 U19354 (.A(S_5_10), .B(C_5_9), .C((A[6] & B[9])), .YS(S_6_9), .YC(C_6_9));
FAX1 U19355 (.A(S_5_11), .B(C_5_10), .C((A[6] & B[10])), .YS(S_6_10), .YC(C_6_10));
assign S_6_11 = (A[6] & B[11]);
FAX1 U19357 (.A(S_6_1), .B(C_6_0), .C((A[7] & B[0])), .YS(S_7_0), .YC(C_7_0));
FAX1 U19358 (.A(S_6_2), .B(C_6_1), .C((A[7] & B[1])), .YS(S_7_1), .YC(C_7_1));
FAX1 U19359 (.A(S_6_3), .B(C_6_2), .C((A[7] & B[2])), .YS(S_7_2), .YC(C_7_2));
FAX1 U19360 (.A(S_6_4), .B(C_6_3), .C((A[7] & B[3])), .YS(S_7_3), .YC(C_7_3));
FAX1 U19361 (.A(S_6_5), .B(C_6_4), .C((A[7] & B[4])), .YS(S_7_4), .YC(C_7_4));
FAX1 U19362 (.A(S_6_6), .B(C_6_5), .C((A[7] & B[5])), .YS(S_7_5), .YC(C_7_5));
FAX1 U19363 (.A(S_6_7), .B(C_6_6), .C((A[7] & B[6])), .YS(S_7_6), .YC(C_7_6));
FAX1 U19364 (.A(S_6_8), .B(C_6_7), .C((A[7] & B[7])), .YS(S_7_7), .YC(C_7_7));
FAX1 U19365 (.A(S_6_9), .B(C_6_8), .C((A[7] & B[8])), .YS(S_7_8), .YC(C_7_8));
FAX1 U19366 (.A(S_6_10), .B(C_6_9), .C((A[7] & B[9])), .YS(S_7_9), .YC(C_7_9));
FAX1 U19367 (.A(S_6_11), .B(C_6_10), .C((A[7] & B[10])), .YS(S_7_10), .YC(C_7_10));
assign S_7_11 = (A[7] & B[11]);
FAX1 U19369 (.A(S_7_1), .B(C_7_0), .C((A[8] & B[0])), .YS(S_8_0), .YC(C_8_0));
FAX1 U19370 (.A(S_7_2), .B(C_7_1), .C((A[8] & B[1])), .YS(S_8_1), .YC(C_8_1));
FAX1 U19371 (.A(S_7_3), .B(C_7_2), .C((A[8] & B[2])), .YS(S_8_2), .YC(C_8_2));
FAX1 U19372 (.A(S_7_4), .B(C_7_3), .C((A[8] & B[3])), .YS(S_8_3), .YC(C_8_3));
FAX1 U19373 (.A(S_7_5), .B(C_7_4), .C((A[8] & B[4])), .YS(S_8_4), .YC(C_8_4));
FAX1 U19374 (.A(S_7_6), .B(C_7_5), .C((A[8] & B[5])), .YS(S_8_5), .YC(C_8_5));
FAX1 U19375 (.A(S_7_7), .B(C_7_6), .C((A[8] & B[6])), .YS(S_8_6), .YC(C_8_6));
FAX1 U19376 (.A(S_7_8), .B(C_7_7), .C((A[8] & B[7])), .YS(S_8_7), .YC(C_8_7));
FAX1 U19377 (.A(S_7_9), .B(C_7_8), .C((A[8] & B[8])), .YS(S_8_8), .YC(C_8_8));
FAX1 U19378 (.A(S_7_10), .B(C_7_9), .C((A[8] & B[9])), .YS(S_8_9), .YC(C_8_9));
FAX1 U19379 (.A(S_7_11), .B(C_7_10), .C((A[8] & B[10])), .YS(S_8_10), .YC(C_8_10));
assign S_8_11 = (A[8] & B[11]);
FAX1 U19381 (.A(S_8_1), .B(C_8_0), .C((A[9] & B[0])), .YS(S_9_0), .YC(C_9_0));
FAX1 U19382 (.A(S_8_2), .B(C_8_1), .C((A[9] & B[1])), .YS(S_9_1), .YC(C_9_1));
FAX1 U19383 (.A(S_8_3), .B(C_8_2), .C((A[9] & B[2])), .YS(S_9_2), .YC(C_9_2));
FAX1 U19384 (.A(S_8_4), .B(C_8_3), .C((A[9] & B[3])), .YS(S_9_3), .YC(C_9_3));
FAX1 U19385 (.A(S_8_5), .B(C_8_4), .C((A[9] & B[4])), .YS(S_9_4), .YC(C_9_4));
FAX1 U19386 (.A(S_8_6), .B(C_8_5), .C((A[9] & B[5])), .YS(S_9_5), .YC(C_9_5));
FAX1 U19387 (.A(S_8_7), .B(C_8_6), .C((A[9] & B[6])), .YS(S_9_6), .YC(C_9_6));
FAX1 U19388 (.A(S_8_8), .B(C_8_7), .C((A[9] & B[7])), .YS(S_9_7), .YC(C_9_7));
FAX1 U19389 (.A(S_8_9), .B(C_8_8), .C((A[9] & B[8])), .YS(S_9_8), .YC(C_9_8));
FAX1 U19390 (.A(S_8_10), .B(C_8_9), .C((A[9] & B[9])), .YS(S_9_9), .YC(C_9_9));
FAX1 U19391 (.A(S_8_11), .B(C_8_10), .C((A[9] & B[10])), .YS(S_9_10), .YC(C_9_10));
assign S_9_11 = (A[9] & B[11]);
FAX1 U19393 (.A(S_9_1), .B(C_9_0), .C((A[10] & B[0])), .YS(S_10_0), .YC(C_10_0));
FAX1 U19394 (.A(S_9_2), .B(C_9_1), .C((A[10] & B[1])), .YS(S_10_1), .YC(C_10_1));
FAX1 U19395 (.A(S_9_3), .B(C_9_2), .C((A[10] & B[2])), .YS(S_10_2), .YC(C_10_2));
FAX1 U19396 (.A(S_9_4), .B(C_9_3), .C((A[10] & B[3])), .YS(S_10_3), .YC(C_10_3));
FAX1 U19397 (.A(S_9_5), .B(C_9_4), .C((A[10] & B[4])), .YS(S_10_4), .YC(C_10_4));
FAX1 U19398 (.A(S_9_6), .B(C_9_5), .C((A[10] & B[5])), .YS(S_10_5), .YC(C_10_5));
FAX1 U19399 (.A(S_9_7), .B(C_9_6), .C((A[10] & B[6])), .YS(S_10_6), .YC(C_10_6));
FAX1 U19400 (.A(S_9_8), .B(C_9_7), .C((A[10] & B[7])), .YS(S_10_7), .YC(C_10_7));
FAX1 U19401 (.A(S_9_9), .B(C_9_8), .C((A[10] & B[8])), .YS(S_10_8), .YC(C_10_8));
FAX1 U19402 (.A(S_9_10), .B(C_9_9), .C((A[10] & B[9])), .YS(S_10_9), .YC(C_10_9));
FAX1 U19403 (.A(S_9_11), .B(C_9_10), .C((A[10] & B[10])), .YS(S_10_10), .YC(C_10_10));
assign S_10_11 = (A[10] & B[11]);
FAX1 U19405 (.A(S_10_1), .B(C_10_0), .C((A[11] & B[0])), .YS(S_11_0), .YC(C_11_0));
FAX1 U19406 (.A(S_10_2), .B(C_10_1), .C((A[11] & B[1])), .YS(S_11_1), .YC(C_11_1));
FAX1 U19407 (.A(S_10_3), .B(C_10_2), .C((A[11] & B[2])), .YS(S_11_2), .YC(C_11_2));
FAX1 U19408 (.A(S_10_4), .B(C_10_3), .C((A[11] & B[3])), .YS(S_11_3), .YC(C_11_3));
FAX1 U19409 (.A(S_10_5), .B(C_10_4), .C((A[11] & B[4])), .YS(S_11_4), .YC(C_11_4));
FAX1 U19410 (.A(S_10_6), .B(C_10_5), .C((A[11] & B[5])), .YS(S_11_5), .YC(C_11_5));
FAX1 U19411 (.A(S_10_7), .B(C_10_6), .C((A[11] & B[6])), .YS(S_11_6), .YC(C_11_6));
FAX1 U19412 (.A(S_10_8), .B(C_10_7), .C((A[11] & B[7])), .YS(S_11_7), .YC(C_11_7));
FAX1 U19413 (.A(S_10_9), .B(C_10_8), .C((A[11] & B[8])), .YS(S_11_8), .YC(C_11_8));
FAX1 U19414 (.A(S_10_10), .B(C_10_9), .C((A[11] & B[9])), .YS(S_11_9), .YC(C_11_9));
FAX1 U19415 (.A(S_10_11), .B(C_10_10), .C((A[11] & B[10])), .YS(S_11_10), .YC(C_11_10));
assign S_11_11 = (A[11] & B[11]);
HAX1 U19417 (.A(S_11_1), .B(C_11_0), .YS(S_12_0), .YC(C_12_0));
FAX1 U19418 (.A(S_11_2), .B(C_12_0), .C(C_11_1), .YS(S_12_1), .YC(C_12_1));
FAX1 U19419 (.A(S_11_3), .B(C_12_1), .C(C_11_2), .YS(S_12_2), .YC(C_12_2));
FAX1 U19420 (.A(S_11_4), .B(C_12_2), .C(C_11_3), .YS(S_12_3), .YC(C_12_3));
FAX1 U19421 (.A(S_11_5), .B(C_12_3), .C(C_11_4), .YS(S_12_4), .YC(C_12_4));
FAX1 U19422 (.A(S_11_6), .B(C_12_4), .C(C_11_5), .YS(S_12_5), .YC(C_12_5));
FAX1 U19423 (.A(S_11_7), .B(C_12_5), .C(C_11_6), .YS(S_12_6), .YC(C_12_6));
FAX1 U19424 (.A(S_11_8), .B(C_12_6), .C(C_11_7), .YS(S_12_7), .YC(C_12_7));
FAX1 U19425 (.A(S_11_9), .B(C_12_7), .C(C_11_8), .YS(S_12_8), .YC(C_12_8));
FAX1 U19426 (.A(S_11_10), .B(C_12_8), .C(C_11_9), .YS(S_12_9), .YC(C_12_9));
FAX1 U19427 (.A(S_11_11), .B(C_12_9), .C(C_11_10), .YS(S_12_10), .YC(C_12_10));
assign S_12_11 = C_12_10;
assign O = {S_12_11,S_12_10,S_12_9,S_12_8,S_12_7,S_12_6,S_12_5,S_12_4,S_12_3,S_12_2,S_12_1,S_12_0,S_11_0,S_10_0,S_9_0,S_8_0,S_7_0,S_6_0,S_5_0,S_4_0,S_3_0,S_2_0,1'b0,1'b0};
endmodule