/*** * 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% = 0.38 % // MAE = 63232 // WCE% = 1.51 % // WCE = 252929 // WCRE% = 100.00 % // EP% = 99.86 % // MRE% = 5.01 % // MSE = 56232.128e5 // PDK45_PWR = 0.273 mW // PDK45_AREA = 542.0 um2 // PDK45_DELAY = 1.22 ns #include #include uint32_t mul12u_33C(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_5,C_11_6,C_11_7,C_11_8,C_11_9,C_12_10,C_12_5,C_12_6,C_12_7,C_12_8,C_12_9,C_6_10,C_6_5,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_5,C_8_6,C_8_7,C_8_8,C_8_9,C_9_10,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_5_10,S_5_11,S_5_5,S_5_6,S_5_7,S_5_8,S_5_9,S_6_10,S_6_11,S_6_4,S_6_5,S_6_6,S_6_7,S_6_8,S_6_9,S_7_10,S_7_11,S_7_3,S_7_4,S_7_5,S_7_6,S_7_7,S_7_8,S_7_9,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_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; S_5_5 = (((A>>5)&1) & ((B>>5)&1)); S_5_6 = (((A>>5)&1) & ((B>>6)&1)); S_5_7 = (((A>>5)&1) & ((B>>7)&1)); S_5_8 = (((A>>5)&1) & ((B>>8)&1)); S_5_9 = (((A>>5)&1) & ((B>>9)&1)); S_5_10 = (((A>>5)&1) & ((B>>10)&1)); S_5_11 = (((A>>5)&1) & ((B>>11)&1)); S_6_4 = S_5_5; S_6_5 = S_5_6^(((A>>6)&1) & ((B>>5)&1)); C_6_5 = S_5_6&(((A>>6)&1) & ((B>>5)&1)); S_6_6 = S_5_7^(((A>>6)&1) & ((B>>6)&1)); C_6_6 = S_5_7&(((A>>6)&1) & ((B>>6)&1)); S_6_7 = S_5_8^(((A>>6)&1) & ((B>>7)&1)); C_6_7 = S_5_8&(((A>>6)&1) & ((B>>7)&1)); S_6_8 = S_5_9^(((A>>6)&1) & ((B>>8)&1)); C_6_8 = S_5_9&(((A>>6)&1) & ((B>>8)&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_3 = S_6_4; S_7_4 = S_6_5; tmp = S_6_6^C_6_5; S_7_5 = tmp^(((A>>7)&1) & ((B>>5)&1)); C_7_5 = (tmp&(((A>>7)&1) & ((B>>5)&1)))|(S_6_6&C_6_5); tmp = S_6_7^C_6_6; S_7_6 = tmp^(((A>>7)&1) & ((B>>6)&1)); C_7_6 = (tmp&(((A>>7)&1) & ((B>>6)&1)))|(S_6_7&C_6_6); tmp = S_6_8^C_6_7; S_7_7 = tmp^(((A>>7)&1) & ((B>>7)&1)); C_7_7 = (tmp&(((A>>7)&1) & ((B>>7)&1)))|(S_6_8&C_6_7); tmp = S_6_9^C_6_8; S_7_8 = tmp^(((A>>7)&1) & ((B>>8)&1)); C_7_8 = (tmp&(((A>>7)&1) & ((B>>8)&1)))|(S_6_9&C_6_8); 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_2 = S_7_3; S_8_3 = S_7_4; S_8_4 = S_7_5; tmp = S_7_6^C_7_5; S_8_5 = tmp^(((A>>8)&1) & ((B>>5)&1)); C_8_5 = (tmp&(((A>>8)&1) & ((B>>5)&1)))|(S_7_6&C_7_5); tmp = S_7_7^C_7_6; S_8_6 = tmp^(((A>>8)&1) & ((B>>6)&1)); C_8_6 = (tmp&(((A>>8)&1) & ((B>>6)&1)))|(S_7_7&C_7_6); tmp = S_7_8^C_7_7; S_8_7 = tmp^(((A>>8)&1) & ((B>>7)&1)); C_8_7 = (tmp&(((A>>8)&1) & ((B>>7)&1)))|(S_7_8&C_7_7); 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_1 = S_8_2; S_9_2 = S_8_3; S_9_3 = S_8_4; S_9_4 = S_8_5; tmp = S_8_6^C_8_5; S_9_5 = tmp^(((A>>9)&1) & ((B>>5)&1)); C_9_5 = (tmp&(((A>>9)&1) & ((B>>5)&1)))|(S_8_6&C_8_5); tmp = S_8_7^C_8_6; S_9_6 = tmp^(((A>>9)&1) & ((B>>6)&1)); C_9_6 = (tmp&(((A>>9)&1) & ((B>>6)&1)))|(S_8_7&C_8_6); 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_0 = S_9_1; S_10_1 = S_9_2; S_10_2 = S_9_3; S_10_3 = S_9_4; S_10_4 = S_9_5; tmp = S_9_6^C_9_5; S_10_5 = tmp^(((A>>10)&1) & ((B>>5)&1)); C_10_5 = (tmp&(((A>>10)&1) & ((B>>5)&1)))|(S_9_6&C_9_5); 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_0 = S_10_1; S_11_1 = S_10_2; S_11_2 = S_10_3; S_11_3 = S_10_4; S_11_4 = S_10_5; 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_0 = S_11_1; S_12_1 = S_11_2; S_12_2 = S_11_3; S_12_3 = S_11_4; S_12_4 = S_11_5; S_12_5 = S_11_6^C_11_5; C_12_5 = S_11_6&C_11_5; 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_10_0 & 1) << 10; P |= (S_11_0 & 1) << 11; P |= (S_12_0 & 1) << 12; P |= (S_12_1 & 1) << 13; P |= (S_12_2 & 1) << 14; 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; }