/*** * 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% = 0.52 % // MAE = 88064 // WCE% = 2.10 % // WCE = 352257 // WCRE% = 100.00 % // EP% = 99.94 % // MRE% = 7.84 % // MSE = 96443.585e5 // PDK45_PWR = 0.220 mW // PDK45_AREA = 420.5 um2 // PDK45_DELAY = 1.50 ns #include #include uint32_t mul12u_2J4(uint16_t A, uint16_t B) { uint32_t P, P_; uint16_t tmp, C_10_10,C_10_5,C_10_6,C_10_7,C_10_8,C_10_9,C_11_10,C_11_4,C_11_5,C_11_6,C_11_7,C_11_8,C_11_9,C_12_10,C_12_4,C_12_5,C_12_6,C_12_7,C_12_8,C_12_9,C_6_10,C_6_9,C_7_10,C_7_8,C_7_9,C_8_10,C_8_7,C_8_8,C_8_9,C_9_10,C_9_6,C_9_7,C_9_8,C_9_9,S_10_10,S_10_11,S_10_5,S_10_6,S_10_7,S_10_8,S_10_9,S_11_10,S_11_11,S_11_4,S_11_5,S_11_6,S_11_7,S_11_8,S_11_9,S_12_10,S_12_11,S_12_3,S_12_4,S_12_5,S_12_6,S_12_7,S_12_8,S_12_9,S_5_10,S_5_11,S_6_10,S_6_11,S_6_9,S_7_10,S_7_11,S_7_8,S_7_9,S_8_10,S_8_11,S_8_7,S_8_8,S_8_9,S_9_10,S_9_11,S_9_6,S_9_7,S_9_8,S_9_9; S_5_10 = (((A>>5)&1) & ((B>>10)&1)); S_5_11 = (((A>>5)&1) & ((B>>11)&1)); S_6_9 = S_5_10^(((A>>6)&1) & ((B>>9)&1)); C_6_9 = S_5_10&(((A>>6)&1) & ((B>>9)&1)); S_6_10 = S_5_11^(((A>>6)&1) & ((B>>10)&1)); C_6_10 = S_5_11&(((A>>6)&1) & ((B>>10)&1)); S_6_11 = (((A>>6)&1) & ((B>>11)&1)); S_7_8 = S_6_9^(((A>>7)&1) & ((B>>8)&1)); C_7_8 = S_6_9&(((A>>7)&1) & ((B>>8)&1)); tmp = S_6_10^C_6_9; S_7_9 = tmp^(((A>>7)&1) & ((B>>9)&1)); C_7_9 = (tmp&(((A>>7)&1) & ((B>>9)&1)))|(S_6_10&C_6_9); tmp = S_6_11^C_6_10; S_7_10 = tmp^(((A>>7)&1) & ((B>>10)&1)); C_7_10 = (tmp&(((A>>7)&1) & ((B>>10)&1)))|(S_6_11&C_6_10); S_7_11 = (((A>>7)&1) & ((B>>11)&1)); S_8_7 = S_7_8^(((A>>8)&1) & ((B>>7)&1)); C_8_7 = S_7_8&(((A>>8)&1) & ((B>>7)&1)); tmp = S_7_9^C_7_8; S_8_8 = tmp^(((A>>8)&1) & ((B>>8)&1)); C_8_8 = (tmp&(((A>>8)&1) & ((B>>8)&1)))|(S_7_9&C_7_8); tmp = S_7_10^C_7_9; S_8_9 = tmp^(((A>>8)&1) & ((B>>9)&1)); C_8_9 = (tmp&(((A>>8)&1) & ((B>>9)&1)))|(S_7_10&C_7_9); tmp = S_7_11^C_7_10; S_8_10 = tmp^(((A>>8)&1) & ((B>>10)&1)); C_8_10 = (tmp&(((A>>8)&1) & ((B>>10)&1)))|(S_7_11&C_7_10); S_8_11 = (((A>>8)&1) & ((B>>11)&1)); S_9_6 = S_8_7^(((A>>9)&1) & ((B>>6)&1)); C_9_6 = S_8_7&(((A>>9)&1) & ((B>>6)&1)); tmp = S_8_8^C_8_7; S_9_7 = tmp^(((A>>9)&1) & ((B>>7)&1)); C_9_7 = (tmp&(((A>>9)&1) & ((B>>7)&1)))|(S_8_8&C_8_7); tmp = S_8_9^C_8_8; S_9_8 = tmp^(((A>>9)&1) & ((B>>8)&1)); C_9_8 = (tmp&(((A>>9)&1) & ((B>>8)&1)))|(S_8_9&C_8_8); tmp = S_8_10^C_8_9; S_9_9 = tmp^(((A>>9)&1) & ((B>>9)&1)); C_9_9 = (tmp&(((A>>9)&1) & ((B>>9)&1)))|(S_8_10&C_8_9); tmp = S_8_11^C_8_10; S_9_10 = tmp^(((A>>9)&1) & ((B>>10)&1)); C_9_10 = (tmp&(((A>>9)&1) & ((B>>10)&1)))|(S_8_11&C_8_10); S_9_11 = (((A>>9)&1) & ((B>>11)&1)); S_10_5 = S_9_6^(((A>>10)&1) & ((B>>5)&1)); C_10_5 = S_9_6&(((A>>10)&1) & ((B>>5)&1)); tmp = S_9_7^C_9_6; S_10_6 = tmp^(((A>>10)&1) & ((B>>6)&1)); C_10_6 = (tmp&(((A>>10)&1) & ((B>>6)&1)))|(S_9_7&C_9_6); tmp = S_9_8^C_9_7; S_10_7 = tmp^(((A>>10)&1) & ((B>>7)&1)); C_10_7 = (tmp&(((A>>10)&1) & ((B>>7)&1)))|(S_9_8&C_9_7); tmp = S_9_9^C_9_8; S_10_8 = tmp^(((A>>10)&1) & ((B>>8)&1)); C_10_8 = (tmp&(((A>>10)&1) & ((B>>8)&1)))|(S_9_9&C_9_8); tmp = S_9_10^C_9_9; S_10_9 = tmp^(((A>>10)&1) & ((B>>9)&1)); C_10_9 = (tmp&(((A>>10)&1) & ((B>>9)&1)))|(S_9_10&C_9_9); tmp = S_9_11^C_9_10; S_10_10 = tmp^(((A>>10)&1) & ((B>>10)&1)); C_10_10 = (tmp&(((A>>10)&1) & ((B>>10)&1)))|(S_9_11&C_9_10); S_10_11 = (((A>>10)&1) & ((B>>11)&1)); S_11_4 = S_10_5^(((A>>11)&1) & ((B>>4)&1)); C_11_4 = S_10_5&(((A>>11)&1) & ((B>>4)&1)); tmp = S_10_6^C_10_5; S_11_5 = tmp^(((A>>11)&1) & ((B>>5)&1)); C_11_5 = (tmp&(((A>>11)&1) & ((B>>5)&1)))|(S_10_6&C_10_5); tmp = S_10_7^C_10_6; S_11_6 = tmp^(((A>>11)&1) & ((B>>6)&1)); C_11_6 = (tmp&(((A>>11)&1) & ((B>>6)&1)))|(S_10_7&C_10_6); tmp = S_10_8^C_10_7; S_11_7 = tmp^(((A>>11)&1) & ((B>>7)&1)); C_11_7 = (tmp&(((A>>11)&1) & ((B>>7)&1)))|(S_10_8&C_10_7); tmp = S_10_9^C_10_8; S_11_8 = tmp^(((A>>11)&1) & ((B>>8)&1)); C_11_8 = (tmp&(((A>>11)&1) & ((B>>8)&1)))|(S_10_9&C_10_8); tmp = S_10_10^C_10_9; S_11_9 = tmp^(((A>>11)&1) & ((B>>9)&1)); C_11_9 = (tmp&(((A>>11)&1) & ((B>>9)&1)))|(S_10_10&C_10_9); tmp = S_10_11^C_10_10; S_11_10 = tmp^(((A>>11)&1) & ((B>>10)&1)); C_11_10 = (tmp&(((A>>11)&1) & ((B>>10)&1)))|(S_10_11&C_10_10); S_11_11 = (((A>>11)&1) & ((B>>11)&1)); S_12_3 = S_11_4; S_12_4 = S_11_5^C_11_4; C_12_4 = S_11_5&C_11_4; tmp = S_11_6^C_12_4; S_12_5 = tmp^C_11_5; C_12_5 = (tmp&C_11_5)|(S_11_6&C_12_4); tmp = S_11_7^C_12_5; S_12_6 = tmp^C_11_6; C_12_6 = (tmp&C_11_6)|(S_11_7&C_12_5); tmp = S_11_8^C_12_6; S_12_7 = tmp^C_11_7; C_12_7 = (tmp&C_11_7)|(S_11_8&C_12_6); tmp = S_11_9^C_12_7; S_12_8 = tmp^C_11_8; C_12_8 = (tmp&C_11_8)|(S_11_9&C_12_7); tmp = S_11_10^C_12_8; S_12_9 = tmp^C_11_9; C_12_9 = (tmp&C_11_9)|(S_11_10&C_12_8); tmp = S_11_11^C_12_9; S_12_10 = tmp^C_11_10; C_12_10 = (tmp&C_11_10)|(S_11_11&C_12_9); S_12_11 = C_12_10; P = 0; P |= (S_12_3 & 1) << 15; P |= (S_12_4 & 1) << 16; P |= (S_12_5 & 1) << 17; P |= (S_12_6 & 1) << 18; P |= (S_12_7 & 1) << 19; P |= (S_12_8 & 1) << 20; P |= (S_12_9 & 1) << 21; P |= (S_12_10 & 1) << 22; P |= (S_12_11 & 1) << 23; return P; }