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mul12s_2NM.v
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mul12s_2NM.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 wce parameters
***/
// MAE% = 0.19 %
// MAE = 32256
// WCE% = 0.77 %
// WCE = 129024
// WCRE% = 6300.00 %
// EP% = 98.41 %
// MRE% = 12.72 %
// MSE = 18643.684e5
// PDK45_PWR = 0.497 mW
// PDK45_AREA = 874.8 um2
// PDK45_DELAY = 1.78 ns
module mul12s_2NM ( 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_11,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_11,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_11,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_6_11,C_6_5,C_7_0,C_7_1,C_7_10,C_7_11,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_11,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_11,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_0_11,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_2_9,S_3_8,S_4_7,S_5_6,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_0_11 = 1'b1;
assign S_1_10 = 1'b1;
assign S_2_9 = 1'b1;
assign S_3_8 = 1'b1;
assign S_4_7 = 1'b1;
assign S_5_6 = 1'b1;
assign S_6_0 = (A[6] & B[0]);
assign S_6_1 = (A[6] & B[1]);
assign S_6_2 = (A[6] & B[2]);
assign S_6_3 = (A[6] & B[3]);
assign S_6_4 = (A[6] & B[4]);
PDKGENHAX1 U51702 (.A(S_5_6), .B((A[6] & B[5])), .YS(S_6_5), .YC(C_6_5));
assign S_6_6 = (A[6] & B[6]);
assign S_6_7 = (A[6] & B[7]);
assign S_6_8 = (A[6] & B[8]);
assign S_6_9 = (A[6] & B[9]);
assign S_6_10 = (A[6] & B[10]);
PDKGENHAX1 U51708 (.A(1'b1), .B(~(A[6] & B[11])), .YS(S_6_11), .YC(C_6_11));
PDKGENHAX1 U51709 (.A(S_6_1), .B((A[7] & B[0])), .YS(S_7_0), .YC(C_7_0));
PDKGENHAX1 U51710 (.A(S_6_2), .B((A[7] & B[1])), .YS(S_7_1), .YC(C_7_1));
PDKGENHAX1 U51711 (.A(S_6_3), .B((A[7] & B[2])), .YS(S_7_2), .YC(C_7_2));
PDKGENHAX1 U51712 (.A(S_6_4), .B((A[7] & B[3])), .YS(S_7_3), .YC(C_7_3));
PDKGENHAX1 U51713 (.A(S_6_5), .B((A[7] & B[4])), .YS(S_7_4), .YC(C_7_4));
PDKGENFAX1 U51714 (.A(S_6_6), .B(C_6_5), .C((A[7] & B[5])), .YS(S_7_5), .YC(C_7_5));
PDKGENHAX1 U51715 (.A(S_6_7), .B((A[7] & B[6])), .YS(S_7_6), .YC(C_7_6));
PDKGENHAX1 U51716 (.A(S_6_8), .B((A[7] & B[7])), .YS(S_7_7), .YC(C_7_7));
PDKGENHAX1 U51717 (.A(S_6_9), .B((A[7] & B[8])), .YS(S_7_8), .YC(C_7_8));
PDKGENHAX1 U51718 (.A(S_6_10), .B((A[7] & B[9])), .YS(S_7_9), .YC(C_7_9));
PDKGENHAX1 U51719 (.A(S_6_11), .B((A[7] & B[10])), .YS(S_7_10), .YC(C_7_10));
PDKGENHAX1 U51720 (.A(C_6_11), .B(~(A[7] & B[11])), .YS(S_7_11), .YC(C_7_11));
PDKGENFAX1 U51721 (.A(S_7_1), .B(C_7_0), .C((A[8] & B[0])), .YS(S_8_0), .YC(C_8_0));
PDKGENFAX1 U51722 (.A(S_7_2), .B(C_7_1), .C((A[8] & B[1])), .YS(S_8_1), .YC(C_8_1));
PDKGENFAX1 U51723 (.A(S_7_3), .B(C_7_2), .C((A[8] & B[2])), .YS(S_8_2), .YC(C_8_2));
PDKGENFAX1 U51724 (.A(S_7_4), .B(C_7_3), .C((A[8] & B[3])), .YS(S_8_3), .YC(C_8_3));
PDKGENFAX1 U51725 (.A(S_7_5), .B(C_7_4), .C((A[8] & B[4])), .YS(S_8_4), .YC(C_8_4));
PDKGENFAX1 U51726 (.A(S_7_6), .B(C_7_5), .C((A[8] & B[5])), .YS(S_8_5), .YC(C_8_5));
PDKGENFAX1 U51727 (.A(S_7_7), .B(C_7_6), .C((A[8] & B[6])), .YS(S_8_6), .YC(C_8_6));
PDKGENFAX1 U51728 (.A(S_7_8), .B(C_7_7), .C((A[8] & B[7])), .YS(S_8_7), .YC(C_8_7));
PDKGENFAX1 U51729 (.A(S_7_9), .B(C_7_8), .C((A[8] & B[8])), .YS(S_8_8), .YC(C_8_8));
PDKGENFAX1 U51730 (.A(S_7_10), .B(C_7_9), .C((A[8] & B[9])), .YS(S_8_9), .YC(C_8_9));
PDKGENFAX1 U51731 (.A(S_7_11), .B(C_7_10), .C((A[8] & B[10])), .YS(S_8_10), .YC(C_8_10));
PDKGENHAX1 U51732 (.A(C_7_11), .B(~(A[8] & B[11])), .YS(S_8_11), .YC(C_8_11));
PDKGENFAX1 U51733 (.A(S_8_1), .B(C_8_0), .C((A[9] & B[0])), .YS(S_9_0), .YC(C_9_0));
PDKGENFAX1 U51734 (.A(S_8_2), .B(C_8_1), .C((A[9] & B[1])), .YS(S_9_1), .YC(C_9_1));
PDKGENFAX1 U51735 (.A(S_8_3), .B(C_8_2), .C((A[9] & B[2])), .YS(S_9_2), .YC(C_9_2));
PDKGENFAX1 U51736 (.A(S_8_4), .B(C_8_3), .C((A[9] & B[3])), .YS(S_9_3), .YC(C_9_3));
PDKGENFAX1 U51737 (.A(S_8_5), .B(C_8_4), .C((A[9] & B[4])), .YS(S_9_4), .YC(C_9_4));
PDKGENFAX1 U51738 (.A(S_8_6), .B(C_8_5), .C((A[9] & B[5])), .YS(S_9_5), .YC(C_9_5));
PDKGENFAX1 U51739 (.A(S_8_7), .B(C_8_6), .C((A[9] & B[6])), .YS(S_9_6), .YC(C_9_6));
PDKGENFAX1 U51740 (.A(S_8_8), .B(C_8_7), .C((A[9] & B[7])), .YS(S_9_7), .YC(C_9_7));
PDKGENFAX1 U51741 (.A(S_8_9), .B(C_8_8), .C((A[9] & B[8])), .YS(S_9_8), .YC(C_9_8));
PDKGENFAX1 U51742 (.A(S_8_10), .B(C_8_9), .C((A[9] & B[9])), .YS(S_9_9), .YC(C_9_9));
PDKGENFAX1 U51743 (.A(S_8_11), .B(C_8_10), .C((A[9] & B[10])), .YS(S_9_10), .YC(C_9_10));
PDKGENHAX1 U51744 (.A(C_8_11), .B(~(A[9] & B[11])), .YS(S_9_11), .YC(C_9_11));
PDKGENFAX1 U51745 (.A(S_9_1), .B(C_9_0), .C((A[10] & B[0])), .YS(S_10_0), .YC(C_10_0));
PDKGENFAX1 U51746 (.A(S_9_2), .B(C_9_1), .C((A[10] & B[1])), .YS(S_10_1), .YC(C_10_1));
PDKGENFAX1 U51747 (.A(S_9_3), .B(C_9_2), .C((A[10] & B[2])), .YS(S_10_2), .YC(C_10_2));
PDKGENFAX1 U51748 (.A(S_9_4), .B(C_9_3), .C((A[10] & B[3])), .YS(S_10_3), .YC(C_10_3));
PDKGENFAX1 U51749 (.A(S_9_5), .B(C_9_4), .C((A[10] & B[4])), .YS(S_10_4), .YC(C_10_4));
PDKGENFAX1 U51750 (.A(S_9_6), .B(C_9_5), .C((A[10] & B[5])), .YS(S_10_5), .YC(C_10_5));
PDKGENFAX1 U51751 (.A(S_9_7), .B(C_9_6), .C((A[10] & B[6])), .YS(S_10_6), .YC(C_10_6));
PDKGENFAX1 U51752 (.A(S_9_8), .B(C_9_7), .C((A[10] & B[7])), .YS(S_10_7), .YC(C_10_7));
PDKGENFAX1 U51753 (.A(S_9_9), .B(C_9_8), .C((A[10] & B[8])), .YS(S_10_8), .YC(C_10_8));
PDKGENFAX1 U51754 (.A(S_9_10), .B(C_9_9), .C((A[10] & B[9])), .YS(S_10_9), .YC(C_10_9));
PDKGENFAX1 U51755 (.A(S_9_11), .B(C_9_10), .C((A[10] & B[10])), .YS(S_10_10), .YC(C_10_10));
PDKGENHAX1 U51756 (.A(C_9_11), .B(~(A[10] & B[11])), .YS(S_10_11), .YC(C_10_11));
PDKGENFAX1 U51757 (.A(S_10_1), .B(C_10_0), .C(~(A[11] & B[0])), .YS(S_11_0), .YC(C_11_0));
PDKGENFAX1 U51758 (.A(S_10_2), .B(C_10_1), .C(~(A[11] & B[1])), .YS(S_11_1), .YC(C_11_1));
PDKGENFAX1 U51759 (.A(S_10_3), .B(C_10_2), .C(~(A[11] & B[2])), .YS(S_11_2), .YC(C_11_2));
PDKGENFAX1 U51760 (.A(S_10_4), .B(C_10_3), .C(~(A[11] & B[3])), .YS(S_11_3), .YC(C_11_3));
PDKGENFAX1 U51761 (.A(S_10_5), .B(C_10_4), .C(~(A[11] & B[4])), .YS(S_11_4), .YC(C_11_4));
PDKGENFAX1 U51762 (.A(S_10_6), .B(C_10_5), .C(~(A[11] & B[5])), .YS(S_11_5), .YC(C_11_5));
PDKGENFAX1 U51763 (.A(S_10_7), .B(C_10_6), .C(~(A[11] & B[6])), .YS(S_11_6), .YC(C_11_6));
PDKGENFAX1 U51764 (.A(S_10_8), .B(C_10_7), .C(~(A[11] & B[7])), .YS(S_11_7), .YC(C_11_7));
PDKGENFAX1 U51765 (.A(S_10_9), .B(C_10_8), .C(~(A[11] & B[8])), .YS(S_11_8), .YC(C_11_8));
PDKGENFAX1 U51766 (.A(S_10_10), .B(C_10_9), .C(~(A[11] & B[9])), .YS(S_11_9), .YC(C_11_9));
PDKGENFAX1 U51767 (.A(S_10_11), .B(C_10_10), .C(~(A[11] & B[10])), .YS(S_11_10), .YC(C_11_10));
PDKGENHAX1 U51768 (.A(C_10_11), .B((A[11] & B[11])), .YS(S_11_11), .YC(C_11_11));
PDKGENHAX1 U51769 (.A(S_11_1), .B(C_11_0), .YS(S_12_0), .YC(C_12_0));
PDKGENFAX1 U51770 (.A(S_11_2), .B(C_12_0), .C(C_11_1), .YS(S_12_1), .YC(C_12_1));
PDKGENFAX1 U51771 (.A(S_11_3), .B(C_12_1), .C(C_11_2), .YS(S_12_2), .YC(C_12_2));
PDKGENFAX1 U51772 (.A(S_11_4), .B(C_12_2), .C(C_11_3), .YS(S_12_3), .YC(C_12_3));
PDKGENFAX1 U51773 (.A(S_11_5), .B(C_12_3), .C(C_11_4), .YS(S_12_4), .YC(C_12_4));
PDKGENFAX1 U51774 (.A(S_11_6), .B(C_12_4), .C(C_11_5), .YS(S_12_5), .YC(C_12_5));
PDKGENFAX1 U51775 (.A(S_11_7), .B(C_12_5), .C(C_11_6), .YS(S_12_6), .YC(C_12_6));
PDKGENFAX1 U51776 (.A(S_11_8), .B(C_12_6), .C(C_11_7), .YS(S_12_7), .YC(C_12_7));
PDKGENFAX1 U51777 (.A(S_11_9), .B(C_12_7), .C(C_11_8), .YS(S_12_8), .YC(C_12_8));
PDKGENFAX1 U51778 (.A(S_11_10), .B(C_12_8), .C(C_11_9), .YS(S_12_9), .YC(C_12_9));
PDKGENFAX1 U51779 (.A(S_11_11), .B(C_12_9), .C(C_11_10), .YS(S_12_10), .YC(C_12_10));
PDKGENFAX1 U51780 (.A(1'b1), .B(C_12_10), .C(C_11_11), .YS(S_12_11), .YC(C_12_11));
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_0,1'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