/*** * 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% = 0.18 % // MAE = 7555 // WCE% = 0.99 % // WCE = 41617 // WCRE% = 6300.00 % // EP% = 99.88 % // MRE% = 4.96 % // MSE = 89807.495e3 // PDK45_PWR = 0.410 mW // PDK45_AREA = 694.1 um2 // PDK45_DELAY = 1.44 ns #include #include uint64_t mul11u_067(uint64_t a, uint64_t b) { int wa[11]; int wb[11]; 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; wa[7] = (a >> 7) & 0x01; wb[7] = (b >> 7) & 0x01; wa[8] = (a >> 8) & 0x01; wb[8] = (b >> 8) & 0x01; wa[9] = (a >> 9) & 0x01; wb[9] = (b >> 9) & 0x01; wa[10] = (a >> 10) & 0x01; wb[10] = (b >> 10) & 0x01; int sig_42 = wa[9] & wb[1]; int sig_43 = wa[10] & wb[1]; int sig_53 = wa[4] & wb[6]; int sig_54 = wa[10] & wb[2]; int sig_59 = wa[4] & wb[10]; int sig_64 = wa[9] & wb[3]; int sig_65 = wa[10] & wb[3]; int sig_74 = wa[8] & wb[10]; int sig_75 = wa[9] & wb[4]; int sig_76 = wa[10] & wb[4]; int sig_83 = wa[6] & wb[5]; int sig_84 = wa[9] & wb[5]; int sig_85 = wa[8] & wb[5]; int sig_86 = wa[9] & wb[5]; int sig_87 = wa[10] & wb[5]; int sig_94 = wa[6] & wb[6]; int sig_95 = wa[3] & wb[10]; int sig_96 = wa[8] & wb[6]; int sig_97 = wa[9] & wb[6]; int sig_98 = wa[10] & wb[6]; int sig_103 = wa[4] & wb[7]; int sig_104 = wa[5] & wb[7]; int sig_105 = wa[6] & wb[7]; int sig_106 = wa[7] & wb[7]; int sig_107 = wa[8] & wb[7]; int sig_108 = wa[9] & wb[7]; int sig_109 = wa[10] & wb[7]; int sig_113 = wa[3] & wb[7]; int sig_114 = wa[4] & wb[8]; int sig_115 = wa[5] & wb[8]; int sig_116 = wa[6] & wb[8]; int sig_117 = wa[7] & wb[8]; int sig_118 = wa[8] & wb[8]; int sig_119 = wa[9] & wb[8]; int sig_120 = wa[10] & wb[8]; int sig_124 = wa[3] & wb[9]; int sig_125 = wa[4] & wb[9]; int sig_126 = wa[5] & wb[9]; int sig_127 = wa[6] & wb[9]; int sig_128 = wa[7] & wb[9]; int sig_129 = wa[8] & wb[9]; int sig_130 = wa[9] & wb[9]; int sig_131 = wa[10] & wb[9]; int sig_133 = wa[1] & wb[5]; int sig_134 = wa[2] & wb[10]; int sig_135 = wa[3] & wb[4]; int sig_136 = wa[4] & wb[10]; int sig_137 = wa[5] & wb[10]; int sig_138 = wa[6] & wb[10]; int sig_139 = wa[7] & wb[10]; int sig_140 = wa[8] & wb[10]; int sig_141 = wa[9] & wb[10]; int sig_142 = wa[10] & wb[10]; int sig_186 = wa[4] & sig_42; int sig_189 = sig_186; int sig_190 = sig_43 & sig_53; int sig_191 = sig_43 & sig_53; int sig_219 = wb[6]; int sig_220 = wa[4] & wb[4]; int sig_221 = sig_219 & wb[5]; int sig_223 = sig_220 | sig_221; int sig_225 = wa[5] & wb[9]; int sig_226 = wa[8] & sig_83; int sig_228 = sig_225 | sig_226; int sig_229 = sig_64 | sig_74; int sig_230 = sig_64 & wa[4]; int sig_231 = sig_229 & sig_84; int sig_232 = sig_229 ^ sig_84; int sig_233 = sig_230 | sig_231; int sig_234 = sig_65 ^ sig_75; int sig_235 = sig_65 & sig_75; int sig_236 = sig_234 & sig_85; int sig_237 = sig_234 ^ sig_85; int sig_238 = sig_235 | sig_236; int sig_239 = sig_76 & sig_86; int sig_240 = sig_76 ^ sig_86; int sig_255 = !wb[4]; int sig_257 = wa[8] | sig_255; int sig_259 = wb[10] & sig_103; int sig_260 = wa[1] & sig_113; int sig_262 = sig_259; int sig_263 = sig_94 ^ sig_104; int sig_264 = sig_94 & wb[7]; int sig_266 = sig_263 ^ sig_114; int sig_267 = sig_264; int sig_268 = sig_95 ^ sig_105; int sig_269 = sig_95 & sig_105; int sig_270 = sig_268 & sig_115; int sig_271 = sig_268 ^ sig_115; int sig_272 = sig_269 ^ sig_270; int sig_273 = sig_96 ^ sig_106; int sig_274 = sig_96 & sig_106; int sig_275 = sig_273 & sig_116; int sig_276 = sig_273 ^ sig_116; int sig_277 = sig_274 | sig_275; int sig_278 = sig_97 ^ sig_107; int sig_279 = sig_97 & sig_107; int sig_280 = sig_278 & sig_117; int sig_281 = sig_278 ^ sig_117; int sig_282 = sig_279 | sig_280; int sig_283 = sig_98 ^ sig_108; int sig_284 = sig_98 & sig_108; int sig_285 = sig_283 & sig_118; int sig_286 = sig_283 ^ sig_118; int sig_287 = sig_284 | sig_285; int sig_288 = sig_109 & sig_119; int sig_289 = sig_109 ^ sig_119; int sig_332 = sig_191 ^ sig_189; int sig_333 = sig_191; int sig_334 = sig_332 & wa[8]; int sig_336 = sig_333 ^ sig_334; int sig_337 = sig_54 | sig_190; int sig_338 = sig_54 & sig_190; int sig_339 = sig_337 & sig_232; int sig_340 = sig_337 ^ sig_232; int sig_341 = sig_338 | sig_339; int sig_361 = sig_223; int sig_362 = wb[6] & wa[2]; int sig_363 = sig_361 & sig_257; int sig_365 = sig_362 | sig_363; int sig_366 = sig_228 ^ sig_266; int sig_367 = sig_228 & sig_266; int sig_368 = wb[8] & sig_262; int sig_369 = sig_366 | sig_262; int sig_370 = sig_367 | sig_368; int sig_371 = sig_233 ^ sig_271; int sig_372 = sig_233 & sig_271; int sig_373 = sig_371 & sig_267; int sig_374 = sig_371 ^ sig_267; int sig_375 = sig_372 | sig_373; int sig_376 = sig_238 ^ sig_276; int sig_377 = sig_238 & sig_276; int sig_378 = sig_376 & sig_272; int sig_379 = sig_376 ^ sig_272; int sig_380 = sig_377 | sig_378; int sig_381 = sig_239 ^ sig_281; int sig_382 = sig_239 & sig_281; int sig_383 = sig_381 & sig_277; int sig_384 = sig_381 ^ sig_277; int sig_385 = sig_382 | sig_383; int sig_386 = sig_286 & sig_282; int sig_387 = sig_286 ^ sig_282; int sig_388 = sig_289 & sig_287; int sig_389 = sig_289 ^ sig_287; int sig_390 = sig_120 & sig_288; int sig_391 = sig_120 ^ sig_288; int sig_427 = wa[3] & wb[2]; int sig_430 = sig_427; int sig_431 = sig_340 ^ sig_336; int sig_432 = sig_340 & sig_336; int sig_433 = sig_431 & sig_369; int sig_434 = sig_431 ^ sig_369; int sig_435 = sig_432 | sig_433; int sig_436 = sig_237 ^ sig_341; int sig_437 = sig_237 & sig_341; int sig_438 = sig_436 & sig_374; int sig_439 = sig_436 ^ sig_374; int sig_440 = sig_437 | sig_438; int sig_441 = sig_240 & sig_379; int sig_442 = sig_240 ^ sig_379; int sig_443 = sig_87 & sig_384; int sig_444 = sig_87 ^ sig_384; int sig_457 = sig_365 ^ sig_124; int sig_458 = sig_365 & sig_124; int sig_459 = sig_457 & sig_134; int sig_460 = sig_457 ^ sig_134; int sig_461 = sig_458 | sig_459; int sig_462 = sig_370 ^ sig_125; int sig_463 = sig_370 & sig_125; int sig_464 = sig_462 & wa[7]; int sig_465 = sig_462 ^ sig_135; int sig_466 = sig_463 | sig_464; int sig_467 = sig_375 ^ sig_126; int sig_468 = sig_375 & sig_126; int sig_469 = sig_467 & sig_136; int sig_470 = sig_467 ^ sig_136; int sig_471 = sig_468 | sig_469; int sig_472 = sig_380 ^ sig_127; int sig_473 = sig_380 & sig_127; int sig_474 = sig_472 & sig_137; int sig_475 = sig_472 ^ sig_137; int sig_476 = sig_473 | sig_474; int sig_477 = sig_385 ^ sig_128; int sig_478 = sig_385 & sig_128; int sig_479 = sig_477 & sig_138; int sig_480 = sig_477 ^ sig_138; int sig_481 = sig_478 | sig_479; int sig_482 = sig_386 ^ sig_129; int sig_483 = sig_386 & sig_129; int sig_484 = sig_482 & sig_139; int sig_485 = sig_482 ^ sig_139; int sig_486 = sig_483 | sig_484; int sig_487 = sig_388 ^ sig_130; int sig_488 = sig_388 & sig_130; int sig_489 = sig_487 & sig_140; int sig_490 = sig_487 ^ sig_140; int sig_491 = sig_488 | sig_489; int sig_492 = sig_390 ^ sig_131; int sig_493 = sig_390 & sig_131; int sig_494 = sig_492 & sig_141; int sig_495 = sig_492 ^ sig_141; int sig_496 = sig_493 | sig_494; int sig_524 = wa[3] & wa[5]; int sig_527 = sig_524; int sig_528 = sig_434 ^ sig_430; int sig_529 = sig_434 & sig_430; int sig_530 = sig_528 & sig_460; int sig_531 = sig_528 ^ sig_460; int sig_532 = sig_529 ^ sig_530; int sig_533 = sig_439 ^ sig_435; int sig_534 = sig_439 & sig_435; int sig_535 = sig_533 & sig_465; int sig_536 = sig_533 ^ sig_465; int sig_537 = sig_534 | sig_535; int sig_538 = sig_442 ^ sig_440; int sig_539 = sig_442 & sig_440; int sig_540 = sig_538 & sig_470; int sig_541 = sig_538 ^ sig_470; int sig_542 = sig_539 | sig_540; int sig_543 = sig_444 ^ sig_441; int sig_544 = sig_444 & sig_441; int sig_545 = sig_543 & sig_475; int sig_546 = sig_543 ^ sig_475; int sig_547 = sig_544 ^ sig_545; int sig_548 = sig_387 ^ sig_443; int sig_549 = sig_387 & sig_443; int sig_550 = sig_548 & sig_480; int sig_551 = sig_548 ^ sig_480; int sig_552 = sig_549 | sig_550; int sig_553 = sig_389 & sig_485; int sig_554 = sig_389 ^ sig_485; int sig_555 = sig_391 & sig_490; int sig_556 = sig_391 ^ sig_490; int sig_570 = wb[4] & wa[1]; int sig_578 = sig_531 & sig_527; int sig_581 = sig_578; int sig_582 = sig_536 ^ sig_532; int sig_583 = sig_536 & sig_532; int sig_584 = sig_582 & sig_461; int sig_585 = sig_582 ^ sig_461; int sig_586 = sig_583 | sig_584; int sig_587 = sig_541 ^ sig_537; int sig_588 = sig_541 & sig_537; int sig_589 = sig_587 & sig_466; int sig_590 = sig_587 ^ sig_466; int sig_591 = sig_588 | sig_589; int sig_592 = sig_546 ^ sig_542; int sig_593 = sig_546 & sig_542; int sig_594 = sig_592 & sig_471; int sig_595 = sig_592 ^ sig_471; int sig_596 = sig_593 | sig_594; int sig_597 = sig_551 ^ sig_547; int sig_598 = sig_551 & sig_547; int sig_599 = sig_597 & sig_476; int sig_600 = sig_597 ^ sig_476; int sig_601 = sig_598 | sig_599; int sig_602 = sig_554 ^ sig_552; int sig_603 = sig_554 & sig_552; int sig_604 = sig_602 & sig_481; int sig_605 = sig_602 ^ sig_481; int sig_606 = sig_603 | sig_604; int sig_607 = sig_556 ^ sig_553; int sig_608 = sig_556 & sig_553; int sig_609 = sig_607 & sig_486; int sig_610 = sig_607 ^ sig_486; int sig_611 = sig_608 | sig_609; int sig_612 = sig_495 ^ sig_555; int sig_613 = sig_495 & sig_555; int sig_614 = sig_612 & sig_491; int sig_615 = sig_612 ^ sig_491; int sig_616 = sig_613 | sig_614; int sig_617 = sig_142 & sig_496; int sig_618 = sig_142 ^ sig_496; int sig_636 = sig_570; int sig_639 = sig_636; int sig_647 = wa[1] & wb[10]; int sig_650 = sig_647; int sig_651 = sig_585 ^ sig_581; int sig_652 = sig_585 & sig_581; int sig_653 = sig_651 & sig_650; int sig_654 = sig_651 ^ sig_650; int sig_655 = sig_652 | sig_653; int sig_656 = sig_590 ^ sig_586; int sig_657 = sig_590 & sig_586; int sig_658 = sig_656 & sig_655; int sig_659 = sig_656 ^ sig_655; int sig_660 = sig_657 | sig_658; int sig_661 = sig_595 ^ sig_591; int sig_662 = sig_595 & sig_591; int sig_663 = sig_661 & sig_660; int sig_664 = sig_661 ^ sig_660; int sig_665 = sig_662 | sig_663; int sig_666 = sig_600 ^ sig_596; int sig_667 = sig_600 & sig_596; int sig_668 = sig_666 & sig_665; int sig_669 = sig_666 ^ sig_665; int sig_670 = sig_667 | sig_668; int sig_671 = sig_605 ^ sig_601; int sig_672 = sig_605 & sig_601; int sig_673 = sig_671 & sig_670; int sig_674 = sig_671 ^ sig_670; int sig_675 = sig_672 | sig_673; int sig_676 = sig_610 ^ sig_606; int sig_677 = sig_610 & sig_606; int sig_678 = sig_676 & sig_675; int sig_679 = sig_676 ^ sig_675; int sig_680 = sig_677 | sig_678; int sig_681 = sig_615 ^ sig_611; int sig_682 = sig_615 & sig_611; int sig_683 = sig_681 & sig_680; int sig_684 = sig_681 ^ sig_680; int sig_685 = sig_682 | sig_683; int sig_686 = sig_618 ^ sig_616; int sig_687 = sig_618 & sig_616; int sig_688 = sig_686 & sig_685; int sig_689 = sig_686 ^ sig_685; int sig_690 = sig_687 | sig_688; int sig_692 = sig_617 ^ sig_690; y |= (sig_260 & 0x01) << 0; // default output y |= (sig_462 & 0x01) << 1; // default output y |= (sig_133 & 0x01) << 2; // default output y |= (sig_333 & 0x01) << 3; // default output y |= (sig_274 & 0x01) << 4; // default output y |= (sig_581 & 0x01) << 5; // default output y |= (sig_592 & 0x01) << 6; // default output y |= (sig_682 & 0x01) << 7; // default output y |= (sig_76 & 0x01) << 8; // default output y |= (sig_59 & 0x01) << 9; // default output y |= (sig_639 & 0x01) << 10; // default output y |= (sig_680 & 0x01) << 11; // default output y |= (sig_386 & 0x01) << 12; // default output y |= (sig_654 & 0x01) << 13; // default output y |= (sig_659 & 0x01) << 14; // default output y |= (sig_664 & 0x01) << 15; // default output y |= (sig_669 & 0x01) << 16; // default output y |= (sig_674 & 0x01) << 17; // default output y |= (sig_679 & 0x01) << 18; // default output y |= (sig_684 & 0x01) << 19; // default output y |= (sig_689 & 0x01) << 20; // default output y |= (sig_692 & 0x01) << 21; // default output return y; }