/*** * 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, S. S. Sarwar, L. Sekanina, Z. Vasicek and K. Roy, "Design of power-efficient approximate multipliers for approximate artificial neural networks," 2016 IEEE/ACM International Conference on Computer-Aided Design (ICCAD), Austin, TX, 2016, pp. 1-7. doi: 10.1145/2966986.2967021 * This file contains a circuit from a sub-set of pareto optimal circuits with respect to the pwr and mae parameters ***/ // MAE% = 0.051 % // MAE = 8.4 // WCE% = 0.19 % // WCE = 31 // WCRE% = 100.00 % // EP% = 87.35 % // MRE% = 1.44 % // MSE = 115 // PDK45_PWR = 0.235 mW // PDK45_AREA = 440.2 um2 // PDK45_DELAY = 1.25 ns #include #include uint64_t mul7u_031(uint64_t a, uint64_t b) { int wa[7]; int wb[7]; uint64_t y = 0; wa[0] = (a >> 0) & 0x01; wb[0] = (b >> 0) & 0x01; wa[1] = (a >> 1) & 0x01; wb[1] = (b >> 1) & 0x01; wa[2] = (a >> 2) & 0x01; wb[2] = (b >> 2) & 0x01; wa[3] = (a >> 3) & 0x01; wb[3] = (b >> 3) & 0x01; wa[4] = (a >> 4) & 0x01; wb[4] = (b >> 4) & 0x01; wa[5] = (a >> 5) & 0x01; wb[5] = (b >> 5) & 0x01; wa[6] = (a >> 6) & 0x01; wb[6] = (b >> 6) & 0x01; int sig_19 = wa[5] & wb[0]; int sig_20 = wa[6] & wb[0]; int sig_25 = wa[4] & wb[1]; int sig_26 = wa[5] & wb[1]; int sig_27 = wa[6] & wb[1]; int sig_35 = wb[1] & wa[3]; int sig_36 = sig_19 ^ sig_25; int sig_37 = sig_19 & sig_25; int sig_38 = sig_20 ^ sig_26; int sig_39 = sig_20 & sig_26; int sig_43 = wa[3] & wb[2]; int sig_44 = wa[4] & wb[2]; int sig_45 = wa[5] & wb[2]; int sig_46 = wa[6] & wb[2]; int sig_56 = wb[4] & wa[0]; int sig_60 = wa[4] & wb[0]; int sig_62 = sig_36 ^ sig_43; int sig_63 = sig_36 & sig_43; int sig_64 = sig_62 & sig_35; int sig_65 = sig_62 ^ sig_35; int sig_66 = sig_63 | sig_64; int sig_67 = sig_38 ^ sig_44; int sig_68 = sig_38 & sig_44; int sig_69 = sig_67 & sig_37; int sig_70 = sig_67 ^ sig_37; int sig_71 = sig_68 | sig_69; int sig_72 = sig_27 ^ sig_45; int sig_73 = sig_27 & sig_45; int sig_74 = wb[1] & sig_39; int sig_75 = sig_72 ^ sig_39; int sig_76 = sig_73 | sig_74; int sig_78 = wa[4] & wb[0]; int sig_79 = wa[2] & wb[3]; int sig_80 = wa[3] & wb[3]; int sig_81 = wa[4] & wb[3]; int sig_82 = wa[5] & wb[3]; int sig_83 = wa[6] & wb[3]; int sig_88 = wa[2] & wb[2]; int sig_89 = sig_60 ^ sig_78; int sig_92 = sig_89 ^ sig_56; int sig_93 = wb[0] & wa[4]; int sig_94 = sig_65 ^ sig_79; int sig_95 = sig_65 & wb[3]; int sig_97 = sig_94; int sig_98 = sig_95 & wa[2]; int sig_99 = sig_70 ^ sig_80; int sig_100 = sig_70 & sig_80; int sig_101 = sig_99 & sig_66; int sig_102 = sig_99 ^ sig_66; int sig_103 = sig_100 | sig_101; int sig_104 = sig_75 ^ sig_81; int sig_105 = sig_75 & sig_81; int sig_106 = sig_104 & sig_71; int sig_107 = sig_104 ^ sig_71; int sig_108 = sig_105 ^ sig_106; int sig_109 = sig_46 ^ sig_82; int sig_110 = sig_46 & sig_82; int sig_111 = sig_109 & sig_76; int sig_112 = sig_109 ^ sig_76; int sig_113 = sig_110 | sig_111; int sig_114 = wa[1] & wb[3]; int sig_115 = wa[1] & wb[4]; int sig_116 = wa[2] & wb[4]; int sig_117 = wa[3] & wb[4]; int sig_118 = wa[4] & wb[4]; int sig_119 = wa[5] & wb[4]; int sig_120 = wa[6] & wb[4]; int sig_121 = sig_92 ^ sig_114; int sig_122 = sig_92 & sig_114; int sig_123 = sig_121 & sig_88; int sig_124 = sig_121 ^ sig_88; int sig_125 = sig_122 ^ sig_123; int sig_126 = sig_97 ^ sig_115; int sig_127 = sig_97 & sig_115; int sig_128 = sig_126 & sig_93; int sig_129 = sig_126 ^ sig_93; int sig_130 = sig_127 | sig_128; int sig_131 = sig_102 ^ sig_116; int sig_132 = sig_102 & sig_116; int sig_133 = sig_131 & sig_98; int sig_134 = sig_131 ^ sig_98; int sig_135 = sig_132 ^ sig_133; int sig_136 = sig_107 ^ sig_117; int sig_137 = sig_107 & sig_117; int sig_138 = sig_136 & sig_103; int sig_139 = sig_136 ^ sig_103; int sig_140 = sig_137 ^ sig_138; int sig_141 = sig_112 ^ sig_118; int sig_142 = sig_112 & sig_118; int sig_143 = sig_141 & sig_108; int sig_144 = sig_141 ^ sig_108; int sig_145 = sig_142 | sig_143; int sig_146 = sig_83 ^ sig_119; int sig_147 = sig_83 & sig_119; int sig_148 = sig_146 & sig_113; int sig_149 = sig_146 ^ sig_113; int sig_150 = sig_147 ^ sig_148; int sig_151 = wa[0] & wb[5]; int sig_152 = wa[1] & wb[5]; int sig_153 = wa[2] & wb[5]; int sig_154 = wa[3] & wb[5]; int sig_155 = wa[4] & wb[5]; int sig_156 = wa[5] & wb[5]; int sig_157 = wa[6] & wb[5]; int sig_158 = sig_129 ^ sig_151; int sig_159 = sig_129 & sig_151; int sig_160 = sig_158 & sig_125; int sig_161 = sig_158 ^ sig_125; int sig_162 = sig_159 ^ sig_160; int sig_163 = sig_134 ^ sig_152; int sig_164 = sig_134 & sig_152; int sig_165 = sig_163 & sig_130; int sig_166 = sig_163 ^ sig_130; int sig_167 = sig_164 | sig_165; int sig_168 = sig_139 ^ sig_153; int sig_169 = sig_139 & sig_153; int sig_170 = sig_168 & sig_135; int sig_171 = sig_168 ^ sig_135; int sig_172 = sig_169 | sig_170; int sig_173 = sig_144 ^ sig_154; int sig_174 = sig_144 & sig_154; int sig_175 = sig_173 & sig_140; int sig_176 = sig_173 ^ sig_140; int sig_177 = sig_174 ^ sig_175; int sig_178 = sig_149 ^ sig_155; int sig_179 = sig_149 & sig_155; int sig_180 = sig_178 & sig_145; int sig_181 = sig_178 ^ sig_145; int sig_182 = sig_179 | sig_180; int sig_183 = sig_120 ^ sig_156; int sig_184 = sig_120 & sig_156; int sig_185 = sig_183 & sig_150; int sig_186 = sig_183 ^ sig_150; int sig_187 = sig_184 ^ sig_185; int sig_188 = wa[0] & wb[6]; int sig_189 = wa[1] & wb[6]; int sig_190 = wa[2] & wb[6]; int sig_191 = wa[3] & wb[6]; int sig_192 = wa[4] & wb[6]; int sig_193 = wa[5] & wb[6]; int sig_194 = wa[6] & wb[6]; int sig_195 = sig_166 ^ sig_188; int sig_196 = sig_166 & sig_188; int sig_197 = sig_195 & sig_162; int sig_198 = sig_195 ^ sig_162; int sig_199 = sig_196 ^ sig_197; int sig_200 = sig_171 ^ sig_189; int sig_201 = sig_171 & sig_189; int sig_202 = sig_200 & sig_167; int sig_203 = sig_200 ^ sig_167; int sig_204 = sig_201 ^ sig_202; int sig_205 = sig_176 ^ sig_190; int sig_206 = sig_176 & sig_190; int sig_207 = sig_205 & sig_172; int sig_208 = sig_205 ^ sig_172; int sig_209 = sig_206 | sig_207; int sig_210 = sig_181 ^ sig_191; int sig_211 = sig_181 & sig_191; int sig_212 = sig_210 & sig_177; int sig_213 = sig_210 ^ sig_177; int sig_214 = sig_211 ^ sig_212; int sig_215 = sig_186 ^ sig_192; int sig_216 = sig_186 & sig_192; int sig_217 = sig_215 & sig_182; int sig_218 = sig_215 ^ sig_182; int sig_219 = sig_216 ^ sig_217; int sig_220 = sig_157 ^ sig_193; int sig_221 = sig_157 & sig_193; int sig_222 = sig_220 & sig_187; int sig_223 = sig_220 ^ sig_187; int sig_224 = sig_221 | sig_222; int sig_225 = sig_203 ^ sig_199; int sig_226 = sig_203 & sig_199; int sig_227 = sig_208 ^ sig_204; int sig_228 = sig_208 & sig_204; int sig_229 = sig_227 & sig_226; int sig_230 = sig_227 ^ sig_226; int sig_231 = sig_228 | sig_229; int sig_232 = sig_213 ^ sig_209; int sig_233 = sig_213 & sig_209; int sig_234 = sig_232 & sig_231; int sig_235 = sig_232 ^ sig_231; int sig_236 = sig_233 | sig_234; int sig_237 = sig_218 ^ sig_214; int sig_238 = sig_218 & sig_214; int sig_239 = sig_237 & sig_236; int sig_240 = sig_237 ^ sig_236; int sig_241 = sig_238 | sig_239; int sig_242 = sig_223 ^ sig_219; int sig_243 = sig_223 & sig_219; int sig_244 = sig_242 & sig_241; int sig_245 = sig_242 ^ sig_241; int sig_246 = sig_243 | sig_244; int sig_247 = sig_194 ^ sig_224; int sig_248 = wb[6] & sig_224; int sig_249 = sig_247 & sig_246; int sig_250 = sig_247 ^ sig_246; int sig_251 = sig_248 ^ sig_249; y |= (sig_231 & 0x01) << 0; // default output y |= (sig_118 & 0x01) << 1; // default output y |= (sig_88 & 0x01) << 2; // default output y |= (sig_88 & 0x01) << 3; // default output y |= (sig_124 & 0x01) << 4; // default output y |= (sig_161 & 0x01) << 5; // default output y |= (sig_198 & 0x01) << 6; // default output y |= (sig_225 & 0x01) << 7; // default output y |= (sig_230 & 0x01) << 8; // default output y |= (sig_235 & 0x01) << 9; // default output y |= (sig_240 & 0x01) << 10; // default output y |= (sig_245 & 0x01) << 11; // default output y |= (sig_250 & 0x01) << 12; // default output y |= (sig_251 & 0x01) << 13; // default output return y; }