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mul12s_34M_pdk45.v
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mul12s_34M_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 mre parameters
***/
// MAE% = 0.014 %
// MAE = 2396
// WCE% = 0.073 %
// WCE = 12279
// WCRE% = 1500.00 %
// EP% = 93.71 %
// MRE% = 1.17 %
// MSE = 97867.163e2
// PDK45_PWR = 0.756 mW
// PDK45_AREA = 1145.1 um2
// PDK45_DELAY = 1.91 ns
module mul12s_34M ( A, B, O );
input [11:0] A;
input [11:0] B;
output [23:0] O;
wire 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_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_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_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_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_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_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_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_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_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_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_2_10,S_2_11,S_2_2,S_2_3,S_2_4,S_2_5,S_2_6,S_2_7,S_2_8,S_2_9,S_3_1,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_0,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_2_2 = (A[2] & B[2]);
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]);
assign S_2_9 = (A[2] & B[9]);
assign S_2_10 = (A[2] & B[10]);
assign S_2_11 = ~(A[2] & B[11]);
assign S_3_1 = S_2_2;
HAX1 U1815 (.A(S_2_3), .B((A[3] & B[2])), .YS(S_3_2), .YC(C_3_2));
HAX1 U1816 (.A(S_2_4), .B((A[3] & B[3])), .YS(S_3_3), .YC(C_3_3));
HAX1 U1817 (.A(S_2_5), .B((A[3] & B[4])), .YS(S_3_4), .YC(C_3_4));
HAX1 U1818 (.A(S_2_6), .B((A[3] & B[5])), .YS(S_3_5), .YC(C_3_5));
HAX1 U1819 (.A(S_2_7), .B((A[3] & B[6])), .YS(S_3_6), .YC(C_3_6));
HAX1 U1820 (.A(S_2_8), .B((A[3] & B[7])), .YS(S_3_7), .YC(C_3_7));
HAX1 U1821 (.A(S_2_9), .B((A[3] & B[8])), .YS(S_3_8), .YC(C_3_8));
HAX1 U1822 (.A(S_2_10), .B((A[3] & B[9])), .YS(S_3_9), .YC(C_3_9));
HAX1 U1823 (.A(S_2_11), .B((A[3] & B[10])), .YS(S_3_10), .YC(C_3_10));
HAX1 U1824 (.A(1'b1), .B(~(A[3] & B[11])), .YS(S_3_11), .YC(C_3_11));
assign S_4_0 = S_3_1;
assign S_4_1 = S_3_2;
FAX1 U1827 (.A(S_3_3), .B(C_3_2), .C((A[4] & B[2])), .YS(S_4_2), .YC(C_4_2));
FAX1 U1828 (.A(S_3_4), .B(C_3_3), .C((A[4] & B[3])), .YS(S_4_3), .YC(C_4_3));
FAX1 U1829 (.A(S_3_5), .B(C_3_4), .C((A[4] & B[4])), .YS(S_4_4), .YC(C_4_4));
FAX1 U1830 (.A(S_3_6), .B(C_3_5), .C((A[4] & B[5])), .YS(S_4_5), .YC(C_4_5));
FAX1 U1831 (.A(S_3_7), .B(C_3_6), .C((A[4] & B[6])), .YS(S_4_6), .YC(C_4_6));
FAX1 U1832 (.A(S_3_8), .B(C_3_7), .C((A[4] & B[7])), .YS(S_4_7), .YC(C_4_7));
FAX1 U1833 (.A(S_3_9), .B(C_3_8), .C((A[4] & B[8])), .YS(S_4_8), .YC(C_4_8));
FAX1 U1834 (.A(S_3_10), .B(C_3_9), .C((A[4] & B[9])), .YS(S_4_9), .YC(C_4_9));
FAX1 U1835 (.A(S_3_11), .B(C_3_10), .C((A[4] & B[10])), .YS(S_4_10), .YC(C_4_10));
HAX1 U1836 (.A(C_3_11), .B(~(A[4] & B[11])), .YS(S_4_11), .YC(C_4_11));
assign S_5_0 = S_4_1;
assign S_5_1 = S_4_2;
FAX1 U1839 (.A(S_4_3), .B(C_4_2), .C((A[5] & B[2])), .YS(S_5_2), .YC(C_5_2));
FAX1 U1840 (.A(S_4_4), .B(C_4_3), .C((A[5] & B[3])), .YS(S_5_3), .YC(C_5_3));
FAX1 U1841 (.A(S_4_5), .B(C_4_4), .C((A[5] & B[4])), .YS(S_5_4), .YC(C_5_4));
FAX1 U1842 (.A(S_4_6), .B(C_4_5), .C((A[5] & B[5])), .YS(S_5_5), .YC(C_5_5));
FAX1 U1843 (.A(S_4_7), .B(C_4_6), .C((A[5] & B[6])), .YS(S_5_6), .YC(C_5_6));
FAX1 U1844 (.A(S_4_8), .B(C_4_7), .C((A[5] & B[7])), .YS(S_5_7), .YC(C_5_7));
FAX1 U1845 (.A(S_4_9), .B(C_4_8), .C((A[5] & B[8])), .YS(S_5_8), .YC(C_5_8));
FAX1 U1846 (.A(S_4_10), .B(C_4_9), .C((A[5] & B[9])), .YS(S_5_9), .YC(C_5_9));
FAX1 U1847 (.A(S_4_11), .B(C_4_10), .C((A[5] & B[10])), .YS(S_5_10), .YC(C_5_10));
HAX1 U1848 (.A(C_4_11), .B(~(A[5] & B[11])), .YS(S_5_11), .YC(C_5_11));
assign S_6_0 = S_5_1;
assign S_6_1 = S_5_2;
FAX1 U1851 (.A(S_5_3), .B(C_5_2), .C((A[6] & B[2])), .YS(S_6_2), .YC(C_6_2));
FAX1 U1852 (.A(S_5_4), .B(C_5_3), .C((A[6] & B[3])), .YS(S_6_3), .YC(C_6_3));
FAX1 U1853 (.A(S_5_5), .B(C_5_4), .C((A[6] & B[4])), .YS(S_6_4), .YC(C_6_4));
FAX1 U1854 (.A(S_5_6), .B(C_5_5), .C((A[6] & B[5])), .YS(S_6_5), .YC(C_6_5));
FAX1 U1855 (.A(S_5_7), .B(C_5_6), .C((A[6] & B[6])), .YS(S_6_6), .YC(C_6_6));
FAX1 U1856 (.A(S_5_8), .B(C_5_7), .C((A[6] & B[7])), .YS(S_6_7), .YC(C_6_7));
FAX1 U1857 (.A(S_5_9), .B(C_5_8), .C((A[6] & B[8])), .YS(S_6_8), .YC(C_6_8));
FAX1 U1858 (.A(S_5_10), .B(C_5_9), .C((A[6] & B[9])), .YS(S_6_9), .YC(C_6_9));
FAX1 U1859 (.A(S_5_11), .B(C_5_10), .C((A[6] & B[10])), .YS(S_6_10), .YC(C_6_10));
HAX1 U1860 (.A(C_5_11), .B(~(A[6] & B[11])), .YS(S_6_11), .YC(C_6_11));
assign S_7_0 = S_6_1;
assign S_7_1 = S_6_2;
FAX1 U1863 (.A(S_6_3), .B(C_6_2), .C((A[7] & B[2])), .YS(S_7_2), .YC(C_7_2));
FAX1 U1864 (.A(S_6_4), .B(C_6_3), .C((A[7] & B[3])), .YS(S_7_3), .YC(C_7_3));
FAX1 U1865 (.A(S_6_5), .B(C_6_4), .C((A[7] & B[4])), .YS(S_7_4), .YC(C_7_4));
FAX1 U1866 (.A(S_6_6), .B(C_6_5), .C((A[7] & B[5])), .YS(S_7_5), .YC(C_7_5));
FAX1 U1867 (.A(S_6_7), .B(C_6_6), .C((A[7] & B[6])), .YS(S_7_6), .YC(C_7_6));
FAX1 U1868 (.A(S_6_8), .B(C_6_7), .C((A[7] & B[7])), .YS(S_7_7), .YC(C_7_7));
FAX1 U1869 (.A(S_6_9), .B(C_6_8), .C((A[7] & B[8])), .YS(S_7_8), .YC(C_7_8));
FAX1 U1870 (.A(S_6_10), .B(C_6_9), .C((A[7] & B[9])), .YS(S_7_9), .YC(C_7_9));
FAX1 U1871 (.A(S_6_11), .B(C_6_10), .C((A[7] & B[10])), .YS(S_7_10), .YC(C_7_10));
HAX1 U1872 (.A(C_6_11), .B(~(A[7] & B[11])), .YS(S_7_11), .YC(C_7_11));
assign S_8_0 = S_7_1;
assign S_8_1 = S_7_2;
FAX1 U1875 (.A(S_7_3), .B(C_7_2), .C((A[8] & B[2])), .YS(S_8_2), .YC(C_8_2));
FAX1 U1876 (.A(S_7_4), .B(C_7_3), .C((A[8] & B[3])), .YS(S_8_3), .YC(C_8_3));
FAX1 U1877 (.A(S_7_5), .B(C_7_4), .C((A[8] & B[4])), .YS(S_8_4), .YC(C_8_4));
FAX1 U1878 (.A(S_7_6), .B(C_7_5), .C((A[8] & B[5])), .YS(S_8_5), .YC(C_8_5));
FAX1 U1879 (.A(S_7_7), .B(C_7_6), .C((A[8] & B[6])), .YS(S_8_6), .YC(C_8_6));
FAX1 U1880 (.A(S_7_8), .B(C_7_7), .C((A[8] & B[7])), .YS(S_8_7), .YC(C_8_7));
FAX1 U1881 (.A(S_7_9), .B(C_7_8), .C((A[8] & B[8])), .YS(S_8_8), .YC(C_8_8));
FAX1 U1882 (.A(S_7_10), .B(C_7_9), .C((A[8] & B[9])), .YS(S_8_9), .YC(C_8_9));
FAX1 U1883 (.A(S_7_11), .B(C_7_10), .C((A[8] & B[10])), .YS(S_8_10), .YC(C_8_10));
HAX1 U1884 (.A(C_7_11), .B(~(A[8] & B[11])), .YS(S_8_11), .YC(C_8_11));
assign S_9_0 = S_8_1;
assign S_9_1 = S_8_2;
FAX1 U1887 (.A(S_8_3), .B(C_8_2), .C((A[9] & B[2])), .YS(S_9_2), .YC(C_9_2));
FAX1 U1888 (.A(S_8_4), .B(C_8_3), .C((A[9] & B[3])), .YS(S_9_3), .YC(C_9_3));
FAX1 U1889 (.A(S_8_5), .B(C_8_4), .C((A[9] & B[4])), .YS(S_9_4), .YC(C_9_4));
FAX1 U1890 (.A(S_8_6), .B(C_8_5), .C((A[9] & B[5])), .YS(S_9_5), .YC(C_9_5));
FAX1 U1891 (.A(S_8_7), .B(C_8_6), .C((A[9] & B[6])), .YS(S_9_6), .YC(C_9_6));
FAX1 U1892 (.A(S_8_8), .B(C_8_7), .C((A[9] & B[7])), .YS(S_9_7), .YC(C_9_7));
FAX1 U1893 (.A(S_8_9), .B(C_8_8), .C((A[9] & B[8])), .YS(S_9_8), .YC(C_9_8));
FAX1 U1894 (.A(S_8_10), .B(C_8_9), .C((A[9] & B[9])), .YS(S_9_9), .YC(C_9_9));
FAX1 U1895 (.A(S_8_11), .B(C_8_10), .C((A[9] & B[10])), .YS(S_9_10), .YC(C_9_10));
HAX1 U1896 (.A(C_8_11), .B(~(A[9] & B[11])), .YS(S_9_11), .YC(C_9_11));
assign S_10_0 = S_9_1;
assign S_10_1 = S_9_2;
FAX1 U1899 (.A(S_9_3), .B(C_9_2), .C((A[10] & B[2])), .YS(S_10_2), .YC(C_10_2));
FAX1 U1900 (.A(S_9_4), .B(C_9_3), .C((A[10] & B[3])), .YS(S_10_3), .YC(C_10_3));
FAX1 U1901 (.A(S_9_5), .B(C_9_4), .C((A[10] & B[4])), .YS(S_10_4), .YC(C_10_4));
FAX1 U1902 (.A(S_9_6), .B(C_9_5), .C((A[10] & B[5])), .YS(S_10_5), .YC(C_10_5));
FAX1 U1903 (.A(S_9_7), .B(C_9_6), .C((A[10] & B[6])), .YS(S_10_6), .YC(C_10_6));
FAX1 U1904 (.A(S_9_8), .B(C_9_7), .C((A[10] & B[7])), .YS(S_10_7), .YC(C_10_7));
FAX1 U1905 (.A(S_9_9), .B(C_9_8), .C((A[10] & B[8])), .YS(S_10_8), .YC(C_10_8));
FAX1 U1906 (.A(S_9_10), .B(C_9_9), .C((A[10] & B[9])), .YS(S_10_9), .YC(C_10_9));
FAX1 U1907 (.A(S_9_11), .B(C_9_10), .C((A[10] & B[10])), .YS(S_10_10), .YC(C_10_10));
HAX1 U1908 (.A(C_9_11), .B(~(A[10] & B[11])), .YS(S_10_11), .YC(C_10_11));
assign S_11_0 = S_10_1;
assign S_11_1 = S_10_2;
FAX1 U1911 (.A(S_10_3), .B(C_10_2), .C(~(A[11] & B[2])), .YS(S_11_2), .YC(C_11_2));
FAX1 U1912 (.A(S_10_4), .B(C_10_3), .C(~(A[11] & B[3])), .YS(S_11_3), .YC(C_11_3));
FAX1 U1913 (.A(S_10_5), .B(C_10_4), .C(~(A[11] & B[4])), .YS(S_11_4), .YC(C_11_4));
FAX1 U1914 (.A(S_10_6), .B(C_10_5), .C(~(A[11] & B[5])), .YS(S_11_5), .YC(C_11_5));
FAX1 U1915 (.A(S_10_7), .B(C_10_6), .C(~(A[11] & B[6])), .YS(S_11_6), .YC(C_11_6));
FAX1 U1916 (.A(S_10_8), .B(C_10_7), .C(~(A[11] & B[7])), .YS(S_11_7), .YC(C_11_7));
FAX1 U1917 (.A(S_10_9), .B(C_10_8), .C(~(A[11] & B[8])), .YS(S_11_8), .YC(C_11_8));
FAX1 U1918 (.A(S_10_10), .B(C_10_9), .C(~(A[11] & B[9])), .YS(S_11_9), .YC(C_11_9));
FAX1 U1919 (.A(S_10_11), .B(C_10_10), .C(~(A[11] & B[10])), .YS(S_11_10), .YC(C_11_10));
HAX1 U1920 (.A(C_10_11), .B((A[11] & B[11])), .YS(S_11_11), .YC(C_11_11));
assign S_12_0 = S_11_1;
assign S_12_1 = S_11_2;
HAX1 U1923 (.A(S_11_3), .B(C_11_2), .YS(S_12_2), .YC(C_12_2));
FAX1 U1924 (.A(S_11_4), .B(C_12_2), .C(C_11_3), .YS(S_12_3), .YC(C_12_3));
FAX1 U1925 (.A(S_11_5), .B(C_12_3), .C(C_11_4), .YS(S_12_4), .YC(C_12_4));
FAX1 U1926 (.A(S_11_6), .B(C_12_4), .C(C_11_5), .YS(S_12_5), .YC(C_12_5));
FAX1 U1927 (.A(S_11_7), .B(C_12_5), .C(C_11_6), .YS(S_12_6), .YC(C_12_6));
FAX1 U1928 (.A(S_11_8), .B(C_12_6), .C(C_11_7), .YS(S_12_7), .YC(C_12_7));
FAX1 U1929 (.A(S_11_9), .B(C_12_7), .C(C_11_8), .YS(S_12_8), .YC(C_12_8));
FAX1 U1930 (.A(S_11_10), .B(C_12_8), .C(C_11_9), .YS(S_12_9), .YC(C_12_9));
FAX1 U1931 (.A(S_11_11), .B(C_12_9), .C(C_11_10), .YS(S_12_10), .YC(C_12_10));
FAX1 U1932 (.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,S_4_0,1'b0,1'b0,1'b0,1'b0};
endmodule