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mul12s_2R5_pdk45.v
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mul12s_2R5_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 wce parameters
***/
// MAE% = 0.0092 %
// MAE = 1540
// WCE% = 0.037 %
// WCE = 6209
// WCRE% = 6500.00 %
// EP% = 92.17 %
// MRE% = 0.65 %
// MSE = 48939.302e2
// PDK45_PWR = 0.948 mW
// PDK45_AREA = 1395.2 um2
// PDK45_DELAY = 2.12 ns
module mul12s_2R5 ( 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_2_11,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_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_10 = 1'b1;
assign S_2_3 = (A[2] & B[3]);
assign S_2_4 = (A[2] & B[4]);
assign S_2_5 = (A[2] & B[5]);
assign S_2_6 = (A[2] & B[6]);
assign S_2_7 = (A[2] & B[7]);
assign S_2_8 = (A[2] & B[8]);
HAX1 U28258 (.A(S_1_10), .B((A[2] & B[9])), .YS(S_2_9), .YC(C_2_9));
assign S_2_10 = (A[2] & B[10]);
HAX1 U28260 (.A(1'b1), .B(~(A[2] & B[11])), .YS(S_2_11), .YC(C_2_11));
HAX1 U28263 (.A(S_2_3), .B((A[3] & B[2])), .YS(S_3_2), .YC(C_3_2));
HAX1 U28264 (.A(S_2_4), .B((A[3] & B[3])), .YS(S_3_3), .YC(C_3_3));
HAX1 U28265 (.A(S_2_5), .B((A[3] & B[4])), .YS(S_3_4), .YC(C_3_4));
HAX1 U28266 (.A(S_2_6), .B((A[3] & B[5])), .YS(S_3_5), .YC(C_3_5));
HAX1 U28267 (.A(S_2_7), .B((A[3] & B[6])), .YS(S_3_6), .YC(C_3_6));
HAX1 U28268 (.A(S_2_8), .B((A[3] & B[7])), .YS(S_3_7), .YC(C_3_7));
HAX1 U28269 (.A(S_2_9), .B((A[3] & B[8])), .YS(S_3_8), .YC(C_3_8));
FAX1 U28270 (.A(S_2_10), .B(C_2_9), .C((A[3] & B[9])), .YS(S_3_9), .YC(C_3_9));
HAX1 U28271 (.A(S_2_11), .B((A[3] & B[10])), .YS(S_3_10), .YC(C_3_10));
HAX1 U28272 (.A(C_2_11), .B(~(A[3] & B[11])), .YS(S_3_11), .YC(C_3_11));
HAX1 U28274 (.A(S_3_2), .B((A[4] & B[1])), .YS(S_4_1), .YC(C_4_1));
FAX1 U28275 (.A(S_3_3), .B(C_3_2), .C((A[4] & B[2])), .YS(S_4_2), .YC(C_4_2));
FAX1 U28276 (.A(S_3_4), .B(C_3_3), .C((A[4] & B[3])), .YS(S_4_3), .YC(C_4_3));
FAX1 U28277 (.A(S_3_5), .B(C_3_4), .C((A[4] & B[4])), .YS(S_4_4), .YC(C_4_4));
FAX1 U28278 (.A(S_3_6), .B(C_3_5), .C((A[4] & B[5])), .YS(S_4_5), .YC(C_4_5));
FAX1 U28279 (.A(S_3_7), .B(C_3_6), .C((A[4] & B[6])), .YS(S_4_6), .YC(C_4_6));
FAX1 U28280 (.A(S_3_8), .B(C_3_7), .C((A[4] & B[7])), .YS(S_4_7), .YC(C_4_7));
FAX1 U28281 (.A(S_3_9), .B(C_3_8), .C((A[4] & B[8])), .YS(S_4_8), .YC(C_4_8));
FAX1 U28282 (.A(S_3_10), .B(C_3_9), .C((A[4] & B[9])), .YS(S_4_9), .YC(C_4_9));
FAX1 U28283 (.A(S_3_11), .B(C_3_10), .C((A[4] & B[10])), .YS(S_4_10), .YC(C_4_10));
HAX1 U28284 (.A(C_3_11), .B(~(A[4] & B[11])), .YS(S_4_11), .YC(C_4_11));
HAX1 U28285 (.A(S_4_1), .B((A[5] & B[0])), .YS(S_5_0), .YC(C_5_0));
FAX1 U28286 (.A(S_4_2), .B(C_4_1), .C((A[5] & B[1])), .YS(S_5_1), .YC(C_5_1));
FAX1 U28287 (.A(S_4_3), .B(C_4_2), .C((A[5] & B[2])), .YS(S_5_2), .YC(C_5_2));
FAX1 U28288 (.A(S_4_4), .B(C_4_3), .C((A[5] & B[3])), .YS(S_5_3), .YC(C_5_3));
FAX1 U28289 (.A(S_4_5), .B(C_4_4), .C((A[5] & B[4])), .YS(S_5_4), .YC(C_5_4));
FAX1 U28290 (.A(S_4_6), .B(C_4_5), .C((A[5] & B[5])), .YS(S_5_5), .YC(C_5_5));
FAX1 U28291 (.A(S_4_7), .B(C_4_6), .C((A[5] & B[6])), .YS(S_5_6), .YC(C_5_6));
FAX1 U28292 (.A(S_4_8), .B(C_4_7), .C((A[5] & B[7])), .YS(S_5_7), .YC(C_5_7));
FAX1 U28293 (.A(S_4_9), .B(C_4_8), .C((A[5] & B[8])), .YS(S_5_8), .YC(C_5_8));
FAX1 U28294 (.A(S_4_10), .B(C_4_9), .C((A[5] & B[9])), .YS(S_5_9), .YC(C_5_9));
FAX1 U28295 (.A(S_4_11), .B(C_4_10), .C((A[5] & B[10])), .YS(S_5_10), .YC(C_5_10));
HAX1 U28296 (.A(C_4_11), .B(~(A[5] & B[11])), .YS(S_5_11), .YC(C_5_11));
FAX1 U28297 (.A(S_5_1), .B(C_5_0), .C((A[6] & B[0])), .YS(S_6_0), .YC(C_6_0));
FAX1 U28298 (.A(S_5_2), .B(C_5_1), .C((A[6] & B[1])), .YS(S_6_1), .YC(C_6_1));
FAX1 U28299 (.A(S_5_3), .B(C_5_2), .C((A[6] & B[2])), .YS(S_6_2), .YC(C_6_2));
FAX1 U28300 (.A(S_5_4), .B(C_5_3), .C((A[6] & B[3])), .YS(S_6_3), .YC(C_6_3));
FAX1 U28301 (.A(S_5_5), .B(C_5_4), .C((A[6] & B[4])), .YS(S_6_4), .YC(C_6_4));
FAX1 U28302 (.A(S_5_6), .B(C_5_5), .C((A[6] & B[5])), .YS(S_6_5), .YC(C_6_5));
FAX1 U28303 (.A(S_5_7), .B(C_5_6), .C((A[6] & B[6])), .YS(S_6_6), .YC(C_6_6));
FAX1 U28304 (.A(S_5_8), .B(C_5_7), .C((A[6] & B[7])), .YS(S_6_7), .YC(C_6_7));
FAX1 U28305 (.A(S_5_9), .B(C_5_8), .C((A[6] & B[8])), .YS(S_6_8), .YC(C_6_8));
FAX1 U28306 (.A(S_5_10), .B(C_5_9), .C((A[6] & B[9])), .YS(S_6_9), .YC(C_6_9));
FAX1 U28307 (.A(S_5_11), .B(C_5_10), .C((A[6] & B[10])), .YS(S_6_10), .YC(C_6_10));
HAX1 U28308 (.A(C_5_11), .B(~(A[6] & B[11])), .YS(S_6_11), .YC(C_6_11));
FAX1 U28309 (.A(S_6_1), .B(C_6_0), .C((A[7] & B[0])), .YS(S_7_0), .YC(C_7_0));
FAX1 U28310 (.A(S_6_2), .B(C_6_1), .C((A[7] & B[1])), .YS(S_7_1), .YC(C_7_1));
FAX1 U28311 (.A(S_6_3), .B(C_6_2), .C((A[7] & B[2])), .YS(S_7_2), .YC(C_7_2));
FAX1 U28312 (.A(S_6_4), .B(C_6_3), .C((A[7] & B[3])), .YS(S_7_3), .YC(C_7_3));
FAX1 U28313 (.A(S_6_5), .B(C_6_4), .C((A[7] & B[4])), .YS(S_7_4), .YC(C_7_4));
FAX1 U28314 (.A(S_6_6), .B(C_6_5), .C((A[7] & B[5])), .YS(S_7_5), .YC(C_7_5));
FAX1 U28315 (.A(S_6_7), .B(C_6_6), .C((A[7] & B[6])), .YS(S_7_6), .YC(C_7_6));
FAX1 U28316 (.A(S_6_8), .B(C_6_7), .C((A[7] & B[7])), .YS(S_7_7), .YC(C_7_7));
FAX1 U28317 (.A(S_6_9), .B(C_6_8), .C((A[7] & B[8])), .YS(S_7_8), .YC(C_7_8));
FAX1 U28318 (.A(S_6_10), .B(C_6_9), .C((A[7] & B[9])), .YS(S_7_9), .YC(C_7_9));
FAX1 U28319 (.A(S_6_11), .B(C_6_10), .C((A[7] & B[10])), .YS(S_7_10), .YC(C_7_10));
HAX1 U28320 (.A(C_6_11), .B(~(A[7] & B[11])), .YS(S_7_11), .YC(C_7_11));
FAX1 U28321 (.A(S_7_1), .B(C_7_0), .C((A[8] & B[0])), .YS(S_8_0), .YC(C_8_0));
FAX1 U28322 (.A(S_7_2), .B(C_7_1), .C((A[8] & B[1])), .YS(S_8_1), .YC(C_8_1));
FAX1 U28323 (.A(S_7_3), .B(C_7_2), .C((A[8] & B[2])), .YS(S_8_2), .YC(C_8_2));
FAX1 U28324 (.A(S_7_4), .B(C_7_3), .C((A[8] & B[3])), .YS(S_8_3), .YC(C_8_3));
FAX1 U28325 (.A(S_7_5), .B(C_7_4), .C((A[8] & B[4])), .YS(S_8_4), .YC(C_8_4));
FAX1 U28326 (.A(S_7_6), .B(C_7_5), .C((A[8] & B[5])), .YS(S_8_5), .YC(C_8_5));
FAX1 U28327 (.A(S_7_7), .B(C_7_6), .C((A[8] & B[6])), .YS(S_8_6), .YC(C_8_6));
FAX1 U28328 (.A(S_7_8), .B(C_7_7), .C((A[8] & B[7])), .YS(S_8_7), .YC(C_8_7));
FAX1 U28329 (.A(S_7_9), .B(C_7_8), .C((A[8] & B[8])), .YS(S_8_8), .YC(C_8_8));
FAX1 U28330 (.A(S_7_10), .B(C_7_9), .C((A[8] & B[9])), .YS(S_8_9), .YC(C_8_9));
FAX1 U28331 (.A(S_7_11), .B(C_7_10), .C((A[8] & B[10])), .YS(S_8_10), .YC(C_8_10));
HAX1 U28332 (.A(C_7_11), .B(~(A[8] & B[11])), .YS(S_8_11), .YC(C_8_11));
FAX1 U28333 (.A(S_8_1), .B(C_8_0), .C((A[9] & B[0])), .YS(S_9_0), .YC(C_9_0));
FAX1 U28334 (.A(S_8_2), .B(C_8_1), .C((A[9] & B[1])), .YS(S_9_1), .YC(C_9_1));
FAX1 U28335 (.A(S_8_3), .B(C_8_2), .C((A[9] & B[2])), .YS(S_9_2), .YC(C_9_2));
FAX1 U28336 (.A(S_8_4), .B(C_8_3), .C((A[9] & B[3])), .YS(S_9_3), .YC(C_9_3));
FAX1 U28337 (.A(S_8_5), .B(C_8_4), .C((A[9] & B[4])), .YS(S_9_4), .YC(C_9_4));
FAX1 U28338 (.A(S_8_6), .B(C_8_5), .C((A[9] & B[5])), .YS(S_9_5), .YC(C_9_5));
FAX1 U28339 (.A(S_8_7), .B(C_8_6), .C((A[9] & B[6])), .YS(S_9_6), .YC(C_9_6));
FAX1 U28340 (.A(S_8_8), .B(C_8_7), .C((A[9] & B[7])), .YS(S_9_7), .YC(C_9_7));
FAX1 U28341 (.A(S_8_9), .B(C_8_8), .C((A[9] & B[8])), .YS(S_9_8), .YC(C_9_8));
FAX1 U28342 (.A(S_8_10), .B(C_8_9), .C((A[9] & B[9])), .YS(S_9_9), .YC(C_9_9));
FAX1 U28343 (.A(S_8_11), .B(C_8_10), .C((A[9] & B[10])), .YS(S_9_10), .YC(C_9_10));
HAX1 U28344 (.A(C_8_11), .B(~(A[9] & B[11])), .YS(S_9_11), .YC(C_9_11));
FAX1 U28345 (.A(S_9_1), .B(C_9_0), .C((A[10] & B[0])), .YS(S_10_0), .YC(C_10_0));
FAX1 U28346 (.A(S_9_2), .B(C_9_1), .C((A[10] & B[1])), .YS(S_10_1), .YC(C_10_1));
FAX1 U28347 (.A(S_9_3), .B(C_9_2), .C((A[10] & B[2])), .YS(S_10_2), .YC(C_10_2));
FAX1 U28348 (.A(S_9_4), .B(C_9_3), .C((A[10] & B[3])), .YS(S_10_3), .YC(C_10_3));
FAX1 U28349 (.A(S_9_5), .B(C_9_4), .C((A[10] & B[4])), .YS(S_10_4), .YC(C_10_4));
FAX1 U28350 (.A(S_9_6), .B(C_9_5), .C((A[10] & B[5])), .YS(S_10_5), .YC(C_10_5));
FAX1 U28351 (.A(S_9_7), .B(C_9_6), .C((A[10] & B[6])), .YS(S_10_6), .YC(C_10_6));
FAX1 U28352 (.A(S_9_8), .B(C_9_7), .C((A[10] & B[7])), .YS(S_10_7), .YC(C_10_7));
FAX1 U28353 (.A(S_9_9), .B(C_9_8), .C((A[10] & B[8])), .YS(S_10_8), .YC(C_10_8));
FAX1 U28354 (.A(S_9_10), .B(C_9_9), .C((A[10] & B[9])), .YS(S_10_9), .YC(C_10_9));
FAX1 U28355 (.A(S_9_11), .B(C_9_10), .C((A[10] & B[10])), .YS(S_10_10), .YC(C_10_10));
HAX1 U28356 (.A(C_9_11), .B(~(A[10] & B[11])), .YS(S_10_11), .YC(C_10_11));
FAX1 U28357 (.A(S_10_1), .B(C_10_0), .C(~(A[11] & B[0])), .YS(S_11_0), .YC(C_11_0));
FAX1 U28358 (.A(S_10_2), .B(C_10_1), .C(~(A[11] & B[1])), .YS(S_11_1), .YC(C_11_1));
FAX1 U28359 (.A(S_10_3), .B(C_10_2), .C(~(A[11] & B[2])), .YS(S_11_2), .YC(C_11_2));
FAX1 U28360 (.A(S_10_4), .B(C_10_3), .C(~(A[11] & B[3])), .YS(S_11_3), .YC(C_11_3));
FAX1 U28361 (.A(S_10_5), .B(C_10_4), .C(~(A[11] & B[4])), .YS(S_11_4), .YC(C_11_4));
FAX1 U28362 (.A(S_10_6), .B(C_10_5), .C(~(A[11] & B[5])), .YS(S_11_5), .YC(C_11_5));
FAX1 U28363 (.A(S_10_7), .B(C_10_6), .C(~(A[11] & B[6])), .YS(S_11_6), .YC(C_11_6));
FAX1 U28364 (.A(S_10_8), .B(C_10_7), .C(~(A[11] & B[7])), .YS(S_11_7), .YC(C_11_7));
FAX1 U28365 (.A(S_10_9), .B(C_10_8), .C(~(A[11] & B[8])), .YS(S_11_8), .YC(C_11_8));
FAX1 U28366 (.A(S_10_10), .B(C_10_9), .C(~(A[11] & B[9])), .YS(S_11_9), .YC(C_11_9));
FAX1 U28367 (.A(S_10_11), .B(C_10_10), .C(~(A[11] & B[10])), .YS(S_11_10), .YC(C_11_10));
HAX1 U28368 (.A(C_10_11), .B((A[11] & B[11])), .YS(S_11_11), .YC(C_11_11));
HAX1 U28369 (.A(S_11_1), .B(C_11_0), .YS(S_12_0), .YC(C_12_0));
FAX1 U28370 (.A(S_11_2), .B(C_12_0), .C(C_11_1), .YS(S_12_1), .YC(C_12_1));
FAX1 U28371 (.A(S_11_3), .B(C_12_1), .C(C_11_2), .YS(S_12_2), .YC(C_12_2));
FAX1 U28372 (.A(S_11_4), .B(C_12_2), .C(C_11_3), .YS(S_12_3), .YC(C_12_3));
FAX1 U28373 (.A(S_11_5), .B(C_12_3), .C(C_11_4), .YS(S_12_4), .YC(C_12_4));
FAX1 U28374 (.A(S_11_6), .B(C_12_4), .C(C_11_5), .YS(S_12_5), .YC(C_12_5));
FAX1 U28375 (.A(S_11_7), .B(C_12_5), .C(C_11_6), .YS(S_12_6), .YC(C_12_6));
FAX1 U28376 (.A(S_11_8), .B(C_12_6), .C(C_11_7), .YS(S_12_7), .YC(C_12_7));
FAX1 U28377 (.A(S_11_9), .B(C_12_7), .C(C_11_8), .YS(S_12_8), .YC(C_12_8));
FAX1 U28378 (.A(S_11_10), .B(C_12_8), .C(C_11_9), .YS(S_12_9), .YC(C_12_9));
FAX1 U28379 (.A(S_11_11), .B(C_12_9), .C(C_11_10), .YS(S_12_10), .YC(C_12_10));
FAX1 U28380 (.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