/*** * 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 mae parameters ***/ // MAE% = 1.54 % // MAE = 66027520 // WCE% = 6.15 % // WCE = 264110081 // WCRE% = 100.00 % // EP% = 100.00 % // MRE% = 15.90 % // MSE = 61094.229e11 // PDK45_PWR = 0.106 mW // PDK45_AREA = 269.4 um2 // PDK45_DELAY = 0.81 ns #include #include uint32_t mul16u_HDX(uint16_t A, uint16_t B) { uint32_t P, P_; uint16_t tmp, C_12_11,C_12_12,C_12_13,C_12_14,C_13_11,C_13_12,C_13_13,C_13_14,C_14_11,C_14_12,C_14_13,C_14_14,C_15_11,C_15_12,C_15_13,C_15_14,S_11_11,S_11_12,S_11_13,S_11_14,S_11_15,S_12_10,S_12_11,S_12_12,S_12_13,S_12_14,S_12_15,S_13_10,S_13_11,S_13_12,S_13_13,S_13_14,S_13_15,S_13_9,S_14_10,S_14_11,S_14_12,S_14_13,S_14_14,S_14_15,S_14_8,S_14_9,S_15_10,S_15_11,S_15_12,S_15_13,S_15_14,S_15_15,S_15_7,S_15_8,S_15_9,S_16_10,S_16_11,S_16_12,S_16_13,S_16_14,S_16_15,S_16_6,S_16_7,S_16_8,S_16_9; S_11_11 = (((A>>11)&1) & ((B>>11)&1)); S_11_12 = (((A>>11)&1) & ((B>>12)&1)); S_11_13 = (((A>>11)&1) & ((B>>13)&1)); S_11_14 = (((A>>11)&1) & ((B>>14)&1)); S_11_15 = (((A>>11)&1) & ((B>>15)&1)); S_12_10 = S_11_11; S_12_11 = S_11_12^(((A>>12)&1) & ((B>>11)&1)); C_12_11 = S_11_12&(((A>>12)&1) & ((B>>11)&1)); S_12_12 = S_11_13^(((A>>12)&1) & ((B>>12)&1)); C_12_12 = S_11_13&(((A>>12)&1) & ((B>>12)&1)); S_12_13 = S_11_14^(((A>>12)&1) & ((B>>13)&1)); C_12_13 = S_11_14&(((A>>12)&1) & ((B>>13)&1)); S_12_14 = S_11_15^(((A>>12)&1) & ((B>>14)&1)); C_12_14 = S_11_15&(((A>>12)&1) & ((B>>14)&1)); S_12_15 = (((A>>12)&1) & ((B>>15)&1)); S_13_9 = S_12_10; S_13_10 = S_12_11; tmp = S_12_12^C_12_11; S_13_11 = tmp^(((A>>13)&1) & ((B>>11)&1)); C_13_11 = (tmp&(((A>>13)&1) & ((B>>11)&1)))|(S_12_12&C_12_11); tmp = S_12_13^C_12_12; S_13_12 = tmp^(((A>>13)&1) & ((B>>12)&1)); C_13_12 = (tmp&(((A>>13)&1) & ((B>>12)&1)))|(S_12_13&C_12_12); tmp = S_12_14^C_12_13; S_13_13 = tmp^(((A>>13)&1) & ((B>>13)&1)); C_13_13 = (tmp&(((A>>13)&1) & ((B>>13)&1)))|(S_12_14&C_12_13); tmp = S_12_15^C_12_14; S_13_14 = tmp^(((A>>13)&1) & ((B>>14)&1)); C_13_14 = (tmp&(((A>>13)&1) & ((B>>14)&1)))|(S_12_15&C_12_14); S_13_15 = (((A>>13)&1) & ((B>>15)&1)); S_14_8 = S_13_9; S_14_9 = S_13_10; S_14_10 = S_13_11; tmp = S_13_12^C_13_11; S_14_11 = tmp^(((A>>14)&1) & ((B>>11)&1)); C_14_11 = (tmp&(((A>>14)&1) & ((B>>11)&1)))|(S_13_12&C_13_11); tmp = S_13_13^C_13_12; S_14_12 = tmp^(((A>>14)&1) & ((B>>12)&1)); C_14_12 = (tmp&(((A>>14)&1) & ((B>>12)&1)))|(S_13_13&C_13_12); tmp = S_13_14^C_13_13; S_14_13 = tmp^(((A>>14)&1) & ((B>>13)&1)); C_14_13 = (tmp&(((A>>14)&1) & ((B>>13)&1)))|(S_13_14&C_13_13); tmp = S_13_15^C_13_14; S_14_14 = tmp^(((A>>14)&1) & ((B>>14)&1)); C_14_14 = (tmp&(((A>>14)&1) & ((B>>14)&1)))|(S_13_15&C_13_14); S_14_15 = (((A>>14)&1) & ((B>>15)&1)); S_15_7 = S_14_8; S_15_8 = S_14_9; S_15_9 = S_14_10; S_15_10 = S_14_11; tmp = S_14_12^C_14_11; S_15_11 = tmp^(((A>>15)&1) & ((B>>11)&1)); C_15_11 = (tmp&(((A>>15)&1) & ((B>>11)&1)))|(S_14_12&C_14_11); tmp = S_14_13^C_14_12; S_15_12 = tmp^(((A>>15)&1) & ((B>>12)&1)); C_15_12 = (tmp&(((A>>15)&1) & ((B>>12)&1)))|(S_14_13&C_14_12); tmp = S_14_14^C_14_13; S_15_13 = tmp^(((A>>15)&1) & ((B>>13)&1)); C_15_13 = (tmp&(((A>>15)&1) & ((B>>13)&1)))|(S_14_14&C_14_13); tmp = S_14_15^C_14_14; S_15_14 = tmp^(((A>>15)&1) & ((B>>14)&1)); C_15_14 = (tmp&(((A>>15)&1) & ((B>>14)&1)))|(S_14_15&C_14_14); S_15_15 = (((A>>15)&1) & ((B>>15)&1)); S_16_6 = S_15_7; S_16_7 = S_15_8; S_16_8 = S_15_9; S_16_9 = S_15_10; S_16_10 = S_15_11; P_ = (((C_15_11 & 1)<<0)|((C_15_12 & 1)<<1)|((C_15_13 & 1)<<2)|((C_15_14 & 1)<<3)) + (((S_15_12 & 1)<<0)|((S_15_13 & 1)<<1)|((S_15_14 & 1)<<2)|((S_15_15 & 1)<<3)); S_16_11 = (P_ >> 0) & 1; S_16_12 = (P_ >> 1) & 1; S_16_13 = (P_ >> 2) & 1; S_16_14 = (P_ >> 3) & 1; S_16_15 = (P_ >> 4) & 1; P = 0; P |= (S_16_6 & 1) << 22; P |= (S_16_7 & 1) << 23; P |= (S_16_8 & 1) << 24; P |= (S_16_9 & 1) << 25; P |= (S_16_10 & 1) << 26; P |= (S_16_11 & 1) << 27; P |= (S_16_12 & 1) << 28; P |= (S_16_13 & 1) << 29; P |= (S_16_14 & 1) << 30; P |= (S_16_15 & 1) << 31; return P; }