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mul12u_2ER.v
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mul12u_2ER.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 mre parameters
***/
// MAE% = 0.0071 %
// MAE = 1184
// WCE% = 0.028 %
// WCE = 4737
// WCRE% = 100.00 %
// EP% = 96.86 %
// MRE% = 0.16 %
// MSE = 31611.022e2
// PDK45_PWR = 0.925 mW
// PDK45_AREA = 1274.6 um2
// PDK45_DELAY = 2.22 ns
module mul12u_2ER ( 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_10,C_2_5,C_2_6,C_2_7,C_2_8,C_2_9,C_3_10,C_3_4,C_3_5,C_3_6,C_3_7,C_3_8,C_3_9,C_4_10,C_4_3,C_4_4,C_4_5,C_4_6,C_4_7,C_4_8,C_4_9,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_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_10,S_1_11,S_1_6,S_1_7,S_1_8,S_1_9,S_2_10,S_2_11,S_2_5,S_2_6,S_2_7,S_2_8,S_2_9,S_3_10,S_3_11,S_3_4,S_3_5,S_3_6,S_3_7,S_3_8,S_3_9,S_4_10,S_4_11,S_4_3,S_4_4,S_4_5,S_4_6,S_4_7,S_4_8,S_4_9,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_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_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]);
PDKGENHAX1 U20862 (.A(S_1_6), .B((A[2] & B[5])), .YS(S_2_5), .YC(C_2_5));
PDKGENHAX1 U20863 (.A(S_1_7), .B((A[2] & B[6])), .YS(S_2_6), .YC(C_2_6));
PDKGENHAX1 U20864 (.A(S_1_8), .B((A[2] & B[7])), .YS(S_2_7), .YC(C_2_7));
PDKGENHAX1 U20865 (.A(S_1_9), .B((A[2] & B[8])), .YS(S_2_8), .YC(C_2_8));
PDKGENHAX1 U20866 (.A(S_1_10), .B((A[2] & B[9])), .YS(S_2_9), .YC(C_2_9));
PDKGENHAX1 U20867 (.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]);
PDKGENHAX1 U20873 (.A(S_2_5), .B((A[3] & B[4])), .YS(S_3_4), .YC(C_3_4));
PDKGENFAX1 U20874 (.A(S_2_6), .B(C_2_5), .C((A[3] & B[5])), .YS(S_3_5), .YC(C_3_5));
PDKGENFAX1 U20875 (.A(S_2_7), .B(C_2_6), .C((A[3] & B[6])), .YS(S_3_6), .YC(C_3_6));
PDKGENFAX1 U20876 (.A(S_2_8), .B(C_2_7), .C((A[3] & B[7])), .YS(S_3_7), .YC(C_3_7));
PDKGENFAX1 U20877 (.A(S_2_9), .B(C_2_8), .C((A[3] & B[8])), .YS(S_3_8), .YC(C_3_8));
PDKGENFAX1 U20878 (.A(S_2_10), .B(C_2_9), .C((A[3] & B[9])), .YS(S_3_9), .YC(C_3_9));
PDKGENFAX1 U20879 (.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]);
PDKGENHAX1 U20884 (.A(S_3_4), .B((A[4] & B[3])), .YS(S_4_3), .YC(C_4_3));
PDKGENFAX1 U20885 (.A(S_3_5), .B(C_3_4), .C((A[4] & B[4])), .YS(S_4_4), .YC(C_4_4));
PDKGENFAX1 U20886 (.A(S_3_6), .B(C_3_5), .C((A[4] & B[5])), .YS(S_4_5), .YC(C_4_5));
PDKGENFAX1 U20887 (.A(S_3_7), .B(C_3_6), .C((A[4] & B[6])), .YS(S_4_6), .YC(C_4_6));
PDKGENFAX1 U20888 (.A(S_3_8), .B(C_3_7), .C((A[4] & B[7])), .YS(S_4_7), .YC(C_4_7));
PDKGENFAX1 U20889 (.A(S_3_9), .B(C_3_8), .C((A[4] & B[8])), .YS(S_4_8), .YC(C_4_8));
PDKGENFAX1 U20890 (.A(S_3_10), .B(C_3_9), .C((A[4] & B[9])), .YS(S_4_9), .YC(C_4_9));
PDKGENFAX1 U20891 (.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]);
PDKGENHAX1 U20895 (.A(S_4_3), .B((A[5] & B[2])), .YS(S_5_2), .YC(C_5_2));
PDKGENFAX1 U20896 (.A(S_4_4), .B(C_4_3), .C((A[5] & B[3])), .YS(S_5_3), .YC(C_5_3));
PDKGENFAX1 U20897 (.A(S_4_5), .B(C_4_4), .C((A[5] & B[4])), .YS(S_5_4), .YC(C_5_4));
PDKGENFAX1 U20898 (.A(S_4_6), .B(C_4_5), .C((A[5] & B[5])), .YS(S_5_5), .YC(C_5_5));
PDKGENFAX1 U20899 (.A(S_4_7), .B(C_4_6), .C((A[5] & B[6])), .YS(S_5_6), .YC(C_5_6));
PDKGENFAX1 U20900 (.A(S_4_8), .B(C_4_7), .C((A[5] & B[7])), .YS(S_5_7), .YC(C_5_7));
PDKGENFAX1 U20901 (.A(S_4_9), .B(C_4_8), .C((A[5] & B[8])), .YS(S_5_8), .YC(C_5_8));
PDKGENFAX1 U20902 (.A(S_4_10), .B(C_4_9), .C((A[5] & B[9])), .YS(S_5_9), .YC(C_5_9));
PDKGENFAX1 U20903 (.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]);
PDKGENHAX1 U20906 (.A(S_5_2), .B((A[6] & B[1])), .YS(S_6_1), .YC(C_6_1));
PDKGENFAX1 U20907 (.A(S_5_3), .B(C_5_2), .C((A[6] & B[2])), .YS(S_6_2), .YC(C_6_2));
PDKGENFAX1 U20908 (.A(S_5_4), .B(C_5_3), .C((A[6] & B[3])), .YS(S_6_3), .YC(C_6_3));
PDKGENFAX1 U20909 (.A(S_5_5), .B(C_5_4), .C((A[6] & B[4])), .YS(S_6_4), .YC(C_6_4));
PDKGENFAX1 U20910 (.A(S_5_6), .B(C_5_5), .C((A[6] & B[5])), .YS(S_6_5), .YC(C_6_5));
PDKGENFAX1 U20911 (.A(S_5_7), .B(C_5_6), .C((A[6] & B[6])), .YS(S_6_6), .YC(C_6_6));
PDKGENFAX1 U20912 (.A(S_5_8), .B(C_5_7), .C((A[6] & B[7])), .YS(S_6_7), .YC(C_6_7));
PDKGENFAX1 U20913 (.A(S_5_9), .B(C_5_8), .C((A[6] & B[8])), .YS(S_6_8), .YC(C_6_8));
PDKGENFAX1 U20914 (.A(S_5_10), .B(C_5_9), .C((A[6] & B[9])), .YS(S_6_9), .YC(C_6_9));
PDKGENFAX1 U20915 (.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]);
PDKGENHAX1 U20917 (.A(S_6_1), .B((A[7] & B[0])), .YS(S_7_0), .YC(C_7_0));
PDKGENFAX1 U20918 (.A(S_6_2), .B(C_6_1), .C((A[7] & B[1])), .YS(S_7_1), .YC(C_7_1));
PDKGENFAX1 U20919 (.A(S_6_3), .B(C_6_2), .C((A[7] & B[2])), .YS(S_7_2), .YC(C_7_2));
PDKGENFAX1 U20920 (.A(S_6_4), .B(C_6_3), .C((A[7] & B[3])), .YS(S_7_3), .YC(C_7_3));
PDKGENFAX1 U20921 (.A(S_6_5), .B(C_6_4), .C((A[7] & B[4])), .YS(S_7_4), .YC(C_7_4));
PDKGENFAX1 U20922 (.A(S_6_6), .B(C_6_5), .C((A[7] & B[5])), .YS(S_7_5), .YC(C_7_5));
PDKGENFAX1 U20923 (.A(S_6_7), .B(C_6_6), .C((A[7] & B[6])), .YS(S_7_6), .YC(C_7_6));
PDKGENFAX1 U20924 (.A(S_6_8), .B(C_6_7), .C((A[7] & B[7])), .YS(S_7_7), .YC(C_7_7));
PDKGENFAX1 U20925 (.A(S_6_9), .B(C_6_8), .C((A[7] & B[8])), .YS(S_7_8), .YC(C_7_8));
PDKGENFAX1 U20926 (.A(S_6_10), .B(C_6_9), .C((A[7] & B[9])), .YS(S_7_9), .YC(C_7_9));
PDKGENFAX1 U20927 (.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]);
PDKGENFAX1 U20929 (.A(S_7_1), .B(C_7_0), .C((A[8] & B[0])), .YS(S_8_0), .YC(C_8_0));
PDKGENFAX1 U20930 (.A(S_7_2), .B(C_7_1), .C((A[8] & B[1])), .YS(S_8_1), .YC(C_8_1));
PDKGENFAX1 U20931 (.A(S_7_3), .B(C_7_2), .C((A[8] & B[2])), .YS(S_8_2), .YC(C_8_2));
PDKGENFAX1 U20932 (.A(S_7_4), .B(C_7_3), .C((A[8] & B[3])), .YS(S_8_3), .YC(C_8_3));
PDKGENFAX1 U20933 (.A(S_7_5), .B(C_7_4), .C((A[8] & B[4])), .YS(S_8_4), .YC(C_8_4));
PDKGENFAX1 U20934 (.A(S_7_6), .B(C_7_5), .C((A[8] & B[5])), .YS(S_8_5), .YC(C_8_5));
PDKGENFAX1 U20935 (.A(S_7_7), .B(C_7_6), .C((A[8] & B[6])), .YS(S_8_6), .YC(C_8_6));
PDKGENFAX1 U20936 (.A(S_7_8), .B(C_7_7), .C((A[8] & B[7])), .YS(S_8_7), .YC(C_8_7));
PDKGENFAX1 U20937 (.A(S_7_9), .B(C_7_8), .C((A[8] & B[8])), .YS(S_8_8), .YC(C_8_8));
PDKGENFAX1 U20938 (.A(S_7_10), .B(C_7_9), .C((A[8] & B[9])), .YS(S_8_9), .YC(C_8_9));
PDKGENFAX1 U20939 (.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]);
PDKGENFAX1 U20941 (.A(S_8_1), .B(C_8_0), .C((A[9] & B[0])), .YS(S_9_0), .YC(C_9_0));
PDKGENFAX1 U20942 (.A(S_8_2), .B(C_8_1), .C((A[9] & B[1])), .YS(S_9_1), .YC(C_9_1));
PDKGENFAX1 U20943 (.A(S_8_3), .B(C_8_2), .C((A[9] & B[2])), .YS(S_9_2), .YC(C_9_2));
PDKGENFAX1 U20944 (.A(S_8_4), .B(C_8_3), .C((A[9] & B[3])), .YS(S_9_3), .YC(C_9_3));
PDKGENFAX1 U20945 (.A(S_8_5), .B(C_8_4), .C((A[9] & B[4])), .YS(S_9_4), .YC(C_9_4));
PDKGENFAX1 U20946 (.A(S_8_6), .B(C_8_5), .C((A[9] & B[5])), .YS(S_9_5), .YC(C_9_5));
PDKGENFAX1 U20947 (.A(S_8_7), .B(C_8_6), .C((A[9] & B[6])), .YS(S_9_6), .YC(C_9_6));
PDKGENFAX1 U20948 (.A(S_8_8), .B(C_8_7), .C((A[9] & B[7])), .YS(S_9_7), .YC(C_9_7));
PDKGENFAX1 U20949 (.A(S_8_9), .B(C_8_8), .C((A[9] & B[8])), .YS(S_9_8), .YC(C_9_8));
PDKGENFAX1 U20950 (.A(S_8_10), .B(C_8_9), .C((A[9] & B[9])), .YS(S_9_9), .YC(C_9_9));
PDKGENFAX1 U20951 (.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]);
PDKGENFAX1 U20953 (.A(S_9_1), .B(C_9_0), .C((A[10] & B[0])), .YS(S_10_0), .YC(C_10_0));
PDKGENFAX1 U20954 (.A(S_9_2), .B(C_9_1), .C((A[10] & B[1])), .YS(S_10_1), .YC(C_10_1));
PDKGENFAX1 U20955 (.A(S_9_3), .B(C_9_2), .C((A[10] & B[2])), .YS(S_10_2), .YC(C_10_2));
PDKGENFAX1 U20956 (.A(S_9_4), .B(C_9_3), .C((A[10] & B[3])), .YS(S_10_3), .YC(C_10_3));
PDKGENFAX1 U20957 (.A(S_9_5), .B(C_9_4), .C((A[10] & B[4])), .YS(S_10_4), .YC(C_10_4));
PDKGENFAX1 U20958 (.A(S_9_6), .B(C_9_5), .C((A[10] & B[5])), .YS(S_10_5), .YC(C_10_5));
PDKGENFAX1 U20959 (.A(S_9_7), .B(C_9_6), .C((A[10] & B[6])), .YS(S_10_6), .YC(C_10_6));
PDKGENFAX1 U20960 (.A(S_9_8), .B(C_9_7), .C((A[10] & B[7])), .YS(S_10_7), .YC(C_10_7));
PDKGENFAX1 U20961 (.A(S_9_9), .B(C_9_8), .C((A[10] & B[8])), .YS(S_10_8), .YC(C_10_8));
PDKGENFAX1 U20962 (.A(S_9_10), .B(C_9_9), .C((A[10] & B[9])), .YS(S_10_9), .YC(C_10_9));
PDKGENFAX1 U20963 (.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]);
PDKGENFAX1 U20965 (.A(S_10_1), .B(C_10_0), .C((A[11] & B[0])), .YS(S_11_0), .YC(C_11_0));
PDKGENFAX1 U20966 (.A(S_10_2), .B(C_10_1), .C((A[11] & B[1])), .YS(S_11_1), .YC(C_11_1));
PDKGENFAX1 U20967 (.A(S_10_3), .B(C_10_2), .C((A[11] & B[2])), .YS(S_11_2), .YC(C_11_2));
PDKGENFAX1 U20968 (.A(S_10_4), .B(C_10_3), .C((A[11] & B[3])), .YS(S_11_3), .YC(C_11_3));
PDKGENFAX1 U20969 (.A(S_10_5), .B(C_10_4), .C((A[11] & B[4])), .YS(S_11_4), .YC(C_11_4));
PDKGENFAX1 U20970 (.A(S_10_6), .B(C_10_5), .C((A[11] & B[5])), .YS(S_11_5), .YC(C_11_5));
PDKGENFAX1 U20971 (.A(S_10_7), .B(C_10_6), .C((A[11] & B[6])), .YS(S_11_6), .YC(C_11_6));
PDKGENFAX1 U20972 (.A(S_10_8), .B(C_10_7), .C((A[11] & B[7])), .YS(S_11_7), .YC(C_11_7));
PDKGENFAX1 U20973 (.A(S_10_9), .B(C_10_8), .C((A[11] & B[8])), .YS(S_11_8), .YC(C_11_8));
PDKGENFAX1 U20974 (.A(S_10_10), .B(C_10_9), .C((A[11] & B[9])), .YS(S_11_9), .YC(C_11_9));
PDKGENFAX1 U20975 (.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]);
PDKGENHAX1 U20977 (.A(S_11_1), .B(C_11_0), .YS(S_12_0), .YC(C_12_0));
PDKGENFAX1 U20978 (.A(S_11_2), .B(C_12_0), .C(C_11_1), .YS(S_12_1), .YC(C_12_1));
PDKGENFAX1 U20979 (.A(S_11_3), .B(C_12_1), .C(C_11_2), .YS(S_12_2), .YC(C_12_2));
PDKGENFAX1 U20980 (.A(S_11_4), .B(C_12_2), .C(C_11_3), .YS(S_12_3), .YC(C_12_3));
PDKGENFAX1 U20981 (.A(S_11_5), .B(C_12_3), .C(C_11_4), .YS(S_12_4), .YC(C_12_4));
PDKGENFAX1 U20982 (.A(S_11_6), .B(C_12_4), .C(C_11_5), .YS(S_12_5), .YC(C_12_5));
PDKGENFAX1 U20983 (.A(S_11_7), .B(C_12_5), .C(C_11_6), .YS(S_12_6), .YC(C_12_6));
PDKGENFAX1 U20984 (.A(S_11_8), .B(C_12_6), .C(C_11_7), .YS(S_12_7), .YC(C_12_7));
PDKGENFAX1 U20985 (.A(S_11_9), .B(C_12_7), .C(C_11_8), .YS(S_12_8), .YC(C_12_8));
PDKGENFAX1 U20986 (.A(S_11_10), .B(C_12_8), .C(C_11_9), .YS(S_12_9), .YC(C_12_9));
PDKGENFAX1 U20987 (.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_0,1'b0,1'b0,1'b0,1'b0,1'b0,1'b0,1'b0};
endmodule
/* mod */
module PDKGENHAX1( input A, input B, output YS, output YC );
assign YS = A ^ B;
assign YC = A & B;
endmodule
/* mod */
module PDKGENFAX1( input A, input B, input C, output YS, output YC );
assign YS = (A ^ B) ^ C;
assign YC = (A & B) | (B & C) | (A & C);
endmodule