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mul12s_2K5_pdk45.v
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mul12s_2K5_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 mse parameters
***/
// MAE% = 0.0031 %
// MAE = 524
// WCE% = 0.013 %
// WCE = 2145
// WCRE% = 9700.00 %
// EP% = 90.61 %
// MRE% = 0.25 %
// MSE = 700070
// PDK45_PWR = 1.055 mW
// PDK45_AREA = 1443.6 um2
// PDK45_DELAY = 2.22 ns
module mul12s_2K5 ( 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_1_10,C_1_11,C_2_10,C_2_11,C_2_3,C_2_4,C_2_5,C_2_6,C_2_7,C_2_8,C_2_9,C_3_10,C_3_11,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_1,C_4_10,C_4_11,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_11,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_11,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_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_1_11,S_1_4,S_1_5,S_1_6,S_1_7,S_1_8,S_1_9,S_2_10,S_2_11,S_2_3,S_2_4,S_2_5,S_2_6,S_2_7,S_2_8,S_2_9,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_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_0_11 = 1'b1;
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]);
HAX1 U21695 (.A(S_0_11), .B((A[1] & B[10])), .YS(S_1_10), .YC(C_1_10));
HAX1 U21696 (.A(1'b1), .B(~(A[1] & B[11])), .YS(S_1_11), .YC(C_1_11));
HAX1 U21700 (.A(S_1_4), .B((A[2] & B[3])), .YS(S_2_3), .YC(C_2_3));
HAX1 U21701 (.A(S_1_5), .B((A[2] & B[4])), .YS(S_2_4), .YC(C_2_4));
HAX1 U21702 (.A(S_1_6), .B((A[2] & B[5])), .YS(S_2_5), .YC(C_2_5));
HAX1 U21703 (.A(S_1_7), .B((A[2] & B[6])), .YS(S_2_6), .YC(C_2_6));
HAX1 U21704 (.A(S_1_8), .B((A[2] & B[7])), .YS(S_2_7), .YC(C_2_7));
HAX1 U21705 (.A(S_1_9), .B((A[2] & B[8])), .YS(S_2_8), .YC(C_2_8));
HAX1 U21706 (.A(S_1_10), .B((A[2] & B[9])), .YS(S_2_9), .YC(C_2_9));
FAX1 U21707 (.A(S_1_11), .B(C_1_10), .C((A[2] & B[10])), .YS(S_2_10), .YC(C_2_10));
HAX1 U21708 (.A(C_1_11), .B(~(A[2] & B[11])), .YS(S_2_11), .YC(C_2_11));
HAX1 U21711 (.A(S_2_3), .B((A[3] & B[2])), .YS(S_3_2), .YC(C_3_2));
FAX1 U21712 (.A(S_2_4), .B(C_2_3), .C((A[3] & B[3])), .YS(S_3_3), .YC(C_3_3));
FAX1 U21713 (.A(S_2_5), .B(C_2_4), .C((A[3] & B[4])), .YS(S_3_4), .YC(C_3_4));
FAX1 U21714 (.A(S_2_6), .B(C_2_5), .C((A[3] & B[5])), .YS(S_3_5), .YC(C_3_5));
FAX1 U21715 (.A(S_2_7), .B(C_2_6), .C((A[3] & B[6])), .YS(S_3_6), .YC(C_3_6));
FAX1 U21716 (.A(S_2_8), .B(C_2_7), .C((A[3] & B[7])), .YS(S_3_7), .YC(C_3_7));
FAX1 U21717 (.A(S_2_9), .B(C_2_8), .C((A[3] & B[8])), .YS(S_3_8), .YC(C_3_8));
FAX1 U21718 (.A(S_2_10), .B(C_2_9), .C((A[3] & B[9])), .YS(S_3_9), .YC(C_3_9));
FAX1 U21719 (.A(S_2_11), .B(C_2_10), .C((A[3] & B[10])), .YS(S_3_10), .YC(C_3_10));
HAX1 U21720 (.A(C_2_11), .B(~(A[3] & B[11])), .YS(S_3_11), .YC(C_3_11));
HAX1 U21722 (.A(S_3_2), .B((A[4] & B[1])), .YS(S_4_1), .YC(C_4_1));
FAX1 U21723 (.A(S_3_3), .B(C_3_2), .C((A[4] & B[2])), .YS(S_4_2), .YC(C_4_2));
FAX1 U21724 (.A(S_3_4), .B(C_3_3), .C((A[4] & B[3])), .YS(S_4_3), .YC(C_4_3));
FAX1 U21725 (.A(S_3_5), .B(C_3_4), .C((A[4] & B[4])), .YS(S_4_4), .YC(C_4_4));
FAX1 U21726 (.A(S_3_6), .B(C_3_5), .C((A[4] & B[5])), .YS(S_4_5), .YC(C_4_5));
FAX1 U21727 (.A(S_3_7), .B(C_3_6), .C((A[4] & B[6])), .YS(S_4_6), .YC(C_4_6));
FAX1 U21728 (.A(S_3_8), .B(C_3_7), .C((A[4] & B[7])), .YS(S_4_7), .YC(C_4_7));
FAX1 U21729 (.A(S_3_9), .B(C_3_8), .C((A[4] & B[8])), .YS(S_4_8), .YC(C_4_8));
FAX1 U21730 (.A(S_3_10), .B(C_3_9), .C((A[4] & B[9])), .YS(S_4_9), .YC(C_4_9));
FAX1 U21731 (.A(S_3_11), .B(C_3_10), .C((A[4] & B[10])), .YS(S_4_10), .YC(C_4_10));
HAX1 U21732 (.A(C_3_11), .B(~(A[4] & B[11])), .YS(S_4_11), .YC(C_4_11));
HAX1 U21733 (.A(S_4_1), .B((A[5] & B[0])), .YS(S_5_0), .YC(C_5_0));
FAX1 U21734 (.A(S_4_2), .B(C_4_1), .C((A[5] & B[1])), .YS(S_5_1), .YC(C_5_1));
FAX1 U21735 (.A(S_4_3), .B(C_4_2), .C((A[5] & B[2])), .YS(S_5_2), .YC(C_5_2));
FAX1 U21736 (.A(S_4_4), .B(C_4_3), .C((A[5] & B[3])), .YS(S_5_3), .YC(C_5_3));
FAX1 U21737 (.A(S_4_5), .B(C_4_4), .C((A[5] & B[4])), .YS(S_5_4), .YC(C_5_4));
FAX1 U21738 (.A(S_4_6), .B(C_4_5), .C((A[5] & B[5])), .YS(S_5_5), .YC(C_5_5));
FAX1 U21739 (.A(S_4_7), .B(C_4_6), .C((A[5] & B[6])), .YS(S_5_6), .YC(C_5_6));
FAX1 U21740 (.A(S_4_8), .B(C_4_7), .C((A[5] & B[7])), .YS(S_5_7), .YC(C_5_7));
FAX1 U21741 (.A(S_4_9), .B(C_4_8), .C((A[5] & B[8])), .YS(S_5_8), .YC(C_5_8));
FAX1 U21742 (.A(S_4_10), .B(C_4_9), .C((A[5] & B[9])), .YS(S_5_9), .YC(C_5_9));
FAX1 U21743 (.A(S_4_11), .B(C_4_10), .C((A[5] & B[10])), .YS(S_5_10), .YC(C_5_10));
HAX1 U21744 (.A(C_4_11), .B(~(A[5] & B[11])), .YS(S_5_11), .YC(C_5_11));
FAX1 U21745 (.A(S_5_1), .B(C_5_0), .C((A[6] & B[0])), .YS(S_6_0), .YC(C_6_0));
FAX1 U21746 (.A(S_5_2), .B(C_5_1), .C((A[6] & B[1])), .YS(S_6_1), .YC(C_6_1));
FAX1 U21747 (.A(S_5_3), .B(C_5_2), .C((A[6] & B[2])), .YS(S_6_2), .YC(C_6_2));
FAX1 U21748 (.A(S_5_4), .B(C_5_3), .C((A[6] & B[3])), .YS(S_6_3), .YC(C_6_3));
FAX1 U21749 (.A(S_5_5), .B(C_5_4), .C((A[6] & B[4])), .YS(S_6_4), .YC(C_6_4));
FAX1 U21750 (.A(S_5_6), .B(C_5_5), .C((A[6] & B[5])), .YS(S_6_5), .YC(C_6_5));
FAX1 U21751 (.A(S_5_7), .B(C_5_6), .C((A[6] & B[6])), .YS(S_6_6), .YC(C_6_6));
FAX1 U21752 (.A(S_5_8), .B(C_5_7), .C((A[6] & B[7])), .YS(S_6_7), .YC(C_6_7));
FAX1 U21753 (.A(S_5_9), .B(C_5_8), .C((A[6] & B[8])), .YS(S_6_8), .YC(C_6_8));
FAX1 U21754 (.A(S_5_10), .B(C_5_9), .C((A[6] & B[9])), .YS(S_6_9), .YC(C_6_9));
FAX1 U21755 (.A(S_5_11), .B(C_5_10), .C((A[6] & B[10])), .YS(S_6_10), .YC(C_6_10));
HAX1 U21756 (.A(C_5_11), .B(~(A[6] & B[11])), .YS(S_6_11), .YC(C_6_11));
FAX1 U21757 (.A(S_6_1), .B(C_6_0), .C((A[7] & B[0])), .YS(S_7_0), .YC(C_7_0));
FAX1 U21758 (.A(S_6_2), .B(C_6_1), .C((A[7] & B[1])), .YS(S_7_1), .YC(C_7_1));
FAX1 U21759 (.A(S_6_3), .B(C_6_2), .C((A[7] & B[2])), .YS(S_7_2), .YC(C_7_2));
FAX1 U21760 (.A(S_6_4), .B(C_6_3), .C((A[7] & B[3])), .YS(S_7_3), .YC(C_7_3));
FAX1 U21761 (.A(S_6_5), .B(C_6_4), .C((A[7] & B[4])), .YS(S_7_4), .YC(C_7_4));
FAX1 U21762 (.A(S_6_6), .B(C_6_5), .C((A[7] & B[5])), .YS(S_7_5), .YC(C_7_5));
FAX1 U21763 (.A(S_6_7), .B(C_6_6), .C((A[7] & B[6])), .YS(S_7_6), .YC(C_7_6));
FAX1 U21764 (.A(S_6_8), .B(C_6_7), .C((A[7] & B[7])), .YS(S_7_7), .YC(C_7_7));
FAX1 U21765 (.A(S_6_9), .B(C_6_8), .C((A[7] & B[8])), .YS(S_7_8), .YC(C_7_8));
FAX1 U21766 (.A(S_6_10), .B(C_6_9), .C((A[7] & B[9])), .YS(S_7_9), .YC(C_7_9));
FAX1 U21767 (.A(S_6_11), .B(C_6_10), .C((A[7] & B[10])), .YS(S_7_10), .YC(C_7_10));
HAX1 U21768 (.A(C_6_11), .B(~(A[7] & B[11])), .YS(S_7_11), .YC(C_7_11));
FAX1 U21769 (.A(S_7_1), .B(C_7_0), .C((A[8] & B[0])), .YS(S_8_0), .YC(C_8_0));
FAX1 U21770 (.A(S_7_2), .B(C_7_1), .C((A[8] & B[1])), .YS(S_8_1), .YC(C_8_1));
FAX1 U21771 (.A(S_7_3), .B(C_7_2), .C((A[8] & B[2])), .YS(S_8_2), .YC(C_8_2));
FAX1 U21772 (.A(S_7_4), .B(C_7_3), .C((A[8] & B[3])), .YS(S_8_3), .YC(C_8_3));
FAX1 U21773 (.A(S_7_5), .B(C_7_4), .C((A[8] & B[4])), .YS(S_8_4), .YC(C_8_4));
FAX1 U21774 (.A(S_7_6), .B(C_7_5), .C((A[8] & B[5])), .YS(S_8_5), .YC(C_8_5));
FAX1 U21775 (.A(S_7_7), .B(C_7_6), .C((A[8] & B[6])), .YS(S_8_6), .YC(C_8_6));
FAX1 U21776 (.A(S_7_8), .B(C_7_7), .C((A[8] & B[7])), .YS(S_8_7), .YC(C_8_7));
FAX1 U21777 (.A(S_7_9), .B(C_7_8), .C((A[8] & B[8])), .YS(S_8_8), .YC(C_8_8));
FAX1 U21778 (.A(S_7_10), .B(C_7_9), .C((A[8] & B[9])), .YS(S_8_9), .YC(C_8_9));
FAX1 U21779 (.A(S_7_11), .B(C_7_10), .C((A[8] & B[10])), .YS(S_8_10), .YC(C_8_10));
HAX1 U21780 (.A(C_7_11), .B(~(A[8] & B[11])), .YS(S_8_11), .YC(C_8_11));
FAX1 U21781 (.A(S_8_1), .B(C_8_0), .C((A[9] & B[0])), .YS(S_9_0), .YC(C_9_0));
FAX1 U21782 (.A(S_8_2), .B(C_8_1), .C((A[9] & B[1])), .YS(S_9_1), .YC(C_9_1));
FAX1 U21783 (.A(S_8_3), .B(C_8_2), .C((A[9] & B[2])), .YS(S_9_2), .YC(C_9_2));
FAX1 U21784 (.A(S_8_4), .B(C_8_3), .C((A[9] & B[3])), .YS(S_9_3), .YC(C_9_3));
FAX1 U21785 (.A(S_8_5), .B(C_8_4), .C((A[9] & B[4])), .YS(S_9_4), .YC(C_9_4));
FAX1 U21786 (.A(S_8_6), .B(C_8_5), .C((A[9] & B[5])), .YS(S_9_5), .YC(C_9_5));
FAX1 U21787 (.A(S_8_7), .B(C_8_6), .C((A[9] & B[6])), .YS(S_9_6), .YC(C_9_6));
FAX1 U21788 (.A(S_8_8), .B(C_8_7), .C((A[9] & B[7])), .YS(S_9_7), .YC(C_9_7));
FAX1 U21789 (.A(S_8_9), .B(C_8_8), .C((A[9] & B[8])), .YS(S_9_8), .YC(C_9_8));
FAX1 U21790 (.A(S_8_10), .B(C_8_9), .C((A[9] & B[9])), .YS(S_9_9), .YC(C_9_9));
FAX1 U21791 (.A(S_8_11), .B(C_8_10), .C((A[9] & B[10])), .YS(S_9_10), .YC(C_9_10));
HAX1 U21792 (.A(C_8_11), .B(~(A[9] & B[11])), .YS(S_9_11), .YC(C_9_11));
FAX1 U21793 (.A(S_9_1), .B(C_9_0), .C((A[10] & B[0])), .YS(S_10_0), .YC(C_10_0));
FAX1 U21794 (.A(S_9_2), .B(C_9_1), .C((A[10] & B[1])), .YS(S_10_1), .YC(C_10_1));
FAX1 U21795 (.A(S_9_3), .B(C_9_2), .C((A[10] & B[2])), .YS(S_10_2), .YC(C_10_2));
FAX1 U21796 (.A(S_9_4), .B(C_9_3), .C((A[10] & B[3])), .YS(S_10_3), .YC(C_10_3));
FAX1 U21797 (.A(S_9_5), .B(C_9_4), .C((A[10] & B[4])), .YS(S_10_4), .YC(C_10_4));
FAX1 U21798 (.A(S_9_6), .B(C_9_5), .C((A[10] & B[5])), .YS(S_10_5), .YC(C_10_5));
FAX1 U21799 (.A(S_9_7), .B(C_9_6), .C((A[10] & B[6])), .YS(S_10_6), .YC(C_10_6));
FAX1 U21800 (.A(S_9_8), .B(C_9_7), .C((A[10] & B[7])), .YS(S_10_7), .YC(C_10_7));
FAX1 U21801 (.A(S_9_9), .B(C_9_8), .C((A[10] & B[8])), .YS(S_10_8), .YC(C_10_8));
FAX1 U21802 (.A(S_9_10), .B(C_9_9), .C((A[10] & B[9])), .YS(S_10_9), .YC(C_10_9));
FAX1 U21803 (.A(S_9_11), .B(C_9_10), .C((A[10] & B[10])), .YS(S_10_10), .YC(C_10_10));
HAX1 U21804 (.A(C_9_11), .B(~(A[10] & B[11])), .YS(S_10_11), .YC(C_10_11));
FAX1 U21805 (.A(S_10_1), .B(C_10_0), .C(~(A[11] & B[0])), .YS(S_11_0), .YC(C_11_0));
FAX1 U21806 (.A(S_10_2), .B(C_10_1), .C(~(A[11] & B[1])), .YS(S_11_1), .YC(C_11_1));
FAX1 U21807 (.A(S_10_3), .B(C_10_2), .C(~(A[11] & B[2])), .YS(S_11_2), .YC(C_11_2));
FAX1 U21808 (.A(S_10_4), .B(C_10_3), .C(~(A[11] & B[3])), .YS(S_11_3), .YC(C_11_3));
FAX1 U21809 (.A(S_10_5), .B(C_10_4), .C(~(A[11] & B[4])), .YS(S_11_4), .YC(C_11_4));
FAX1 U21810 (.A(S_10_6), .B(C_10_5), .C(~(A[11] & B[5])), .YS(S_11_5), .YC(C_11_5));
FAX1 U21811 (.A(S_10_7), .B(C_10_6), .C(~(A[11] & B[6])), .YS(S_11_6), .YC(C_11_6));
FAX1 U21812 (.A(S_10_8), .B(C_10_7), .C(~(A[11] & B[7])), .YS(S_11_7), .YC(C_11_7));
FAX1 U21813 (.A(S_10_9), .B(C_10_8), .C(~(A[11] & B[8])), .YS(S_11_8), .YC(C_11_8));
FAX1 U21814 (.A(S_10_10), .B(C_10_9), .C(~(A[11] & B[9])), .YS(S_11_9), .YC(C_11_9));
FAX1 U21815 (.A(S_10_11), .B(C_10_10), .C(~(A[11] & B[10])), .YS(S_11_10), .YC(C_11_10));
HAX1 U21816 (.A(C_10_11), .B((A[11] & B[11])), .YS(S_11_11), .YC(C_11_11));
HAX1 U21817 (.A(S_11_1), .B(C_11_0), .YS(S_12_0), .YC(C_12_0));
FAX1 U21818 (.A(S_11_2), .B(C_12_0), .C(C_11_1), .YS(S_12_1), .YC(C_12_1));
FAX1 U21819 (.A(S_11_3), .B(C_12_1), .C(C_11_2), .YS(S_12_2), .YC(C_12_2));
FAX1 U21820 (.A(S_11_4), .B(C_12_2), .C(C_11_3), .YS(S_12_3), .YC(C_12_3));
FAX1 U21821 (.A(S_11_5), .B(C_12_3), .C(C_11_4), .YS(S_12_4), .YC(C_12_4));
FAX1 U21822 (.A(S_11_6), .B(C_12_4), .C(C_11_5), .YS(S_12_5), .YC(C_12_5));
FAX1 U21823 (.A(S_11_7), .B(C_12_5), .C(C_11_6), .YS(S_12_6), .YC(C_12_6));
FAX1 U21824 (.A(S_11_8), .B(C_12_6), .C(C_11_7), .YS(S_12_7), .YC(C_12_7));
FAX1 U21825 (.A(S_11_9), .B(C_12_7), .C(C_11_8), .YS(S_12_8), .YC(C_12_8));
FAX1 U21826 (.A(S_11_10), .B(C_12_8), .C(C_11_9), .YS(S_12_9), .YC(C_12_9));
FAX1 U21827 (.A(S_11_11), .B(C_12_9), .C(C_11_10), .YS(S_12_10), .YC(C_12_10));
FAX1 U21828 (.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,S_5_0,1'b0,1'b0,1'b0,1'b0,1'b0};
endmodule