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mul12u_2QN.v
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mul12u_2QN.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% = 0.092 %
// MAE = 15360
// WCE% = 0.37 %
// WCE = 61441
// WCRE% = 100.00 %
// EP% = 99.84 %
// MRE% = 1.89 %
// MSE = 30204.968e4
// PDK45_PWR = 0.482 mW
// PDK45_AREA = 746.2 um2
// PDK45_DELAY = 2.03 ns
module mul12u_2QN ( A, B, O );
input [11:0] A;
input [11:0] B;
output [23:0] O;
wire 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_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_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_4_10,C_4_8,C_4_9,C_5_10,C_5_7,C_5_8,C_5_9,C_6_10,C_6_6,C_6_7,C_6_8,C_6_9,C_7_10,C_7_5,C_7_6,C_7_7,C_7_8,C_7_9,C_8_10,C_8_4,C_8_5,C_8_6,C_8_7,C_8_8,C_8_9,C_9_10,C_9_3,C_9_4,C_9_5,C_9_6,C_9_7,C_9_8,C_9_9,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_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_3_10,S_3_11,S_3_9,S_4_10,S_4_11,S_4_8,S_4_9,S_5_10,S_5_11,S_5_7,S_5_8,S_5_9,S_6_10,S_6_11,S_6_6,S_6_7,S_6_8,S_6_9,S_7_10,S_7_11,S_7_5,S_7_6,S_7_7,S_7_8,S_7_9,S_8_10,S_8_11,S_8_4,S_8_5,S_8_6,S_8_7,S_8_8,S_8_9,S_9_10,S_9_11,S_9_3,S_9_4,S_9_5,S_9_6,S_9_7,S_9_8,S_9_9;
assign S_3_9 = (A[3] & B[9]);
assign S_3_10 = (A[3] & B[10]);
assign S_3_11 = (A[3] & B[11]);
PDKGENHAX1 U34617 (.A(S_3_9), .B((A[4] & B[8])), .YS(S_4_8), .YC(C_4_8));
PDKGENHAX1 U34618 (.A(S_3_10), .B((A[4] & B[9])), .YS(S_4_9), .YC(C_4_9));
PDKGENHAX1 U34619 (.A(S_3_11), .B((A[4] & B[10])), .YS(S_4_10), .YC(C_4_10));
assign S_4_11 = (A[4] & B[11]);
PDKGENHAX1 U34628 (.A(S_4_8), .B((A[5] & B[7])), .YS(S_5_7), .YC(C_5_7));
PDKGENFAX1 U34629 (.A(S_4_9), .B(C_4_8), .C((A[5] & B[8])), .YS(S_5_8), .YC(C_5_8));
PDKGENFAX1 U34630 (.A(S_4_10), .B(C_4_9), .C((A[5] & B[9])), .YS(S_5_9), .YC(C_5_9));
PDKGENFAX1 U34631 (.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 U34639 (.A(S_5_7), .B((A[6] & B[6])), .YS(S_6_6), .YC(C_6_6));
PDKGENFAX1 U34640 (.A(S_5_8), .B(C_5_7), .C((A[6] & B[7])), .YS(S_6_7), .YC(C_6_7));
PDKGENFAX1 U34641 (.A(S_5_9), .B(C_5_8), .C((A[6] & B[8])), .YS(S_6_8), .YC(C_6_8));
PDKGENFAX1 U34642 (.A(S_5_10), .B(C_5_9), .C((A[6] & B[9])), .YS(S_6_9), .YC(C_6_9));
PDKGENFAX1 U34643 (.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 U34650 (.A(S_6_6), .B((A[7] & B[5])), .YS(S_7_5), .YC(C_7_5));
PDKGENFAX1 U34651 (.A(S_6_7), .B(C_6_6), .C((A[7] & B[6])), .YS(S_7_6), .YC(C_7_6));
PDKGENFAX1 U34652 (.A(S_6_8), .B(C_6_7), .C((A[7] & B[7])), .YS(S_7_7), .YC(C_7_7));
PDKGENFAX1 U34653 (.A(S_6_9), .B(C_6_8), .C((A[7] & B[8])), .YS(S_7_8), .YC(C_7_8));
PDKGENFAX1 U34654 (.A(S_6_10), .B(C_6_9), .C((A[7] & B[9])), .YS(S_7_9), .YC(C_7_9));
PDKGENFAX1 U34655 (.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]);
PDKGENHAX1 U34661 (.A(S_7_5), .B((A[8] & B[4])), .YS(S_8_4), .YC(C_8_4));
PDKGENFAX1 U34662 (.A(S_7_6), .B(C_7_5), .C((A[8] & B[5])), .YS(S_8_5), .YC(C_8_5));
PDKGENFAX1 U34663 (.A(S_7_7), .B(C_7_6), .C((A[8] & B[6])), .YS(S_8_6), .YC(C_8_6));
PDKGENFAX1 U34664 (.A(S_7_8), .B(C_7_7), .C((A[8] & B[7])), .YS(S_8_7), .YC(C_8_7));
PDKGENFAX1 U34665 (.A(S_7_9), .B(C_7_8), .C((A[8] & B[8])), .YS(S_8_8), .YC(C_8_8));
PDKGENFAX1 U34666 (.A(S_7_10), .B(C_7_9), .C((A[8] & B[9])), .YS(S_8_9), .YC(C_8_9));
PDKGENFAX1 U34667 (.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]);
PDKGENHAX1 U34672 (.A(S_8_4), .B((A[9] & B[3])), .YS(S_9_3), .YC(C_9_3));
PDKGENFAX1 U34673 (.A(S_8_5), .B(C_8_4), .C((A[9] & B[4])), .YS(S_9_4), .YC(C_9_4));
PDKGENFAX1 U34674 (.A(S_8_6), .B(C_8_5), .C((A[9] & B[5])), .YS(S_9_5), .YC(C_9_5));
PDKGENFAX1 U34675 (.A(S_8_7), .B(C_8_6), .C((A[9] & B[6])), .YS(S_9_6), .YC(C_9_6));
PDKGENFAX1 U34676 (.A(S_8_8), .B(C_8_7), .C((A[9] & B[7])), .YS(S_9_7), .YC(C_9_7));
PDKGENFAX1 U34677 (.A(S_8_9), .B(C_8_8), .C((A[9] & B[8])), .YS(S_9_8), .YC(C_9_8));
PDKGENFAX1 U34678 (.A(S_8_10), .B(C_8_9), .C((A[9] & B[9])), .YS(S_9_9), .YC(C_9_9));
PDKGENFAX1 U34679 (.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]);
PDKGENHAX1 U34683 (.A(S_9_3), .B((A[10] & B[2])), .YS(S_10_2), .YC(C_10_2));
PDKGENFAX1 U34684 (.A(S_9_4), .B(C_9_3), .C((A[10] & B[3])), .YS(S_10_3), .YC(C_10_3));
PDKGENFAX1 U34685 (.A(S_9_5), .B(C_9_4), .C((A[10] & B[4])), .YS(S_10_4), .YC(C_10_4));
PDKGENFAX1 U34686 (.A(S_9_6), .B(C_9_5), .C((A[10] & B[5])), .YS(S_10_5), .YC(C_10_5));
PDKGENFAX1 U34687 (.A(S_9_7), .B(C_9_6), .C((A[10] & B[6])), .YS(S_10_6), .YC(C_10_6));
PDKGENFAX1 U34688 (.A(S_9_8), .B(C_9_7), .C((A[10] & B[7])), .YS(S_10_7), .YC(C_10_7));
PDKGENFAX1 U34689 (.A(S_9_9), .B(C_9_8), .C((A[10] & B[8])), .YS(S_10_8), .YC(C_10_8));
PDKGENFAX1 U34690 (.A(S_9_10), .B(C_9_9), .C((A[10] & B[9])), .YS(S_10_9), .YC(C_10_9));
PDKGENFAX1 U34691 (.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]);
PDKGENHAX1 U34694 (.A(S_10_2), .B((A[11] & B[1])), .YS(S_11_1), .YC(C_11_1));
PDKGENFAX1 U34695 (.A(S_10_3), .B(C_10_2), .C((A[11] & B[2])), .YS(S_11_2), .YC(C_11_2));
PDKGENFAX1 U34696 (.A(S_10_4), .B(C_10_3), .C((A[11] & B[3])), .YS(S_11_3), .YC(C_11_3));
PDKGENFAX1 U34697 (.A(S_10_5), .B(C_10_4), .C((A[11] & B[4])), .YS(S_11_4), .YC(C_11_4));
PDKGENFAX1 U34698 (.A(S_10_6), .B(C_10_5), .C((A[11] & B[5])), .YS(S_11_5), .YC(C_11_5));
PDKGENFAX1 U34699 (.A(S_10_7), .B(C_10_6), .C((A[11] & B[6])), .YS(S_11_6), .YC(C_11_6));
PDKGENFAX1 U34700 (.A(S_10_8), .B(C_10_7), .C((A[11] & B[7])), .YS(S_11_7), .YC(C_11_7));
PDKGENFAX1 U34701 (.A(S_10_9), .B(C_10_8), .C((A[11] & B[8])), .YS(S_11_8), .YC(C_11_8));
PDKGENFAX1 U34702 (.A(S_10_10), .B(C_10_9), .C((A[11] & B[9])), .YS(S_11_9), .YC(C_11_9));
PDKGENFAX1 U34703 (.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]);
assign S_12_0 = S_11_1;
PDKGENHAX1 U34706 (.A(S_11_2), .B(C_11_1), .YS(S_12_1), .YC(C_12_1));
PDKGENFAX1 U34707 (.A(S_11_3), .B(C_12_1), .C(C_11_2), .YS(S_12_2), .YC(C_12_2));
PDKGENFAX1 U34708 (.A(S_11_4), .B(C_12_2), .C(C_11_3), .YS(S_12_3), .YC(C_12_3));
PDKGENFAX1 U34709 (.A(S_11_5), .B(C_12_3), .C(C_11_4), .YS(S_12_4), .YC(C_12_4));
PDKGENFAX1 U34710 (.A(S_11_6), .B(C_12_4), .C(C_11_5), .YS(S_12_5), .YC(C_12_5));
PDKGENFAX1 U34711 (.A(S_11_7), .B(C_12_5), .C(C_11_6), .YS(S_12_6), .YC(C_12_6));
PDKGENFAX1 U34712 (.A(S_11_8), .B(C_12_6), .C(C_11_7), .YS(S_12_7), .YC(C_12_7));
PDKGENFAX1 U34713 (.A(S_11_9), .B(C_12_7), .C(C_11_8), .YS(S_12_8), .YC(C_12_8));
PDKGENFAX1 U34714 (.A(S_11_10), .B(C_12_8), .C(C_11_9), .YS(S_12_9), .YC(C_12_9));
PDKGENFAX1 U34715 (.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_0,1'b0,1'b0,1'b0,1'b0,1'b0,1'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