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Detailled Benchmark of fgemv for Givaro::Integer in the field of RNS on a multicore server
Note p = (0 for sequential, 1 for <RNSModulus, grain>, 2 for <RNSModulus, threads>, 3 for ParSeqHelper::Compose<ParSeqHelper::Parallel<FFLAS::CuttingStrategy::RNSModulus, grain>, ParSeqHelper::Parallel<rec, StrategyParameter::TwoDAdaptive>>)
| Time | method | m(dimension m of the matrix) | k(dimension k of the matrix) | i(number of repetitions) | s(seed) |
|---|---|---|---|---|---|
| 4.70943 | 0 | 4000 | 4000 | 3 | 1526855394 |
FGEMM_MP: nb prime: 12
FGEMM_MP: init: 1091ms
FGEMM_MP: to RNS: 2100ms
==========================================
Pointwise fgemm : 1.40045 (12) moduli
==========================================
FGEMM_MP: RNS Mul: 1400ms
FGEMM_MP: from RNS: 69ms
| Time | method | m(dimension m of the matrix) | k(dimension k of the matrix) | i(number of repetitions) | s(seed) |
|---|---|---|---|---|---|
| 47.763 | 0 | 4000 | 4000 | 3 | 1526855394 |
FGEMM_MP: nb prime: 109
FGEMM_MP: init: 1618ms
FGEMM_MP: to RNS: 31189ms
==========================================
Pointwise fgemm : 13.7958 (109) moduli
==========================================
FGEMM_MP: RNS Mul: 13796ms
FGEMM_MP: from RNS: 627ms
| Time | method | m(dimension m of the matrix) | k(dimension k of the matrix) | i(number of repetitions) | s(seed) |
|---|---|---|---|---|---|
| 3.3133 | 1 | 4000 | 4000 | 3 | 1526855394 |
| 3.53367 | 2 | 4000 | 4000 | 3 | 1526855394 |
| 3.34736 | 3 | 4000 | 4000 | 3 | 1526855394 |
FGEMM_MP: nb prime: 12
FGEMM_MP: init: 1164ms
FGEMM_MP: to RNS: 1574ms
==========================================
Pointwise fgemm : 0.457937 (12) moduli
==========================================
FGEMM_MP: RNS Mul: 458ms
FGEMM_MP: from RNS: 113ms
FGEMM_MP: nb prime: 12
FGEMM_MP: init: 1175ms
FGEMM_MP: to RNS: 2056ms
==========================================
Pointwise fgemm : 0.532401 (12) moduli
==========================================
FGEMM_MP: RNS Mul: 532ms
FGEMM_MP: from RNS: 80ms
FGEMM_MP: nb prime: 12
FGEMM_MP: init: 1133ms
FGEMM_MP: to RNS: 1584ms
==========================================
Pointwise fgemm : 0.532509 (12) moduli
==========================================
FGEMM_MP: RNS Mul: 532ms
FGEMM_MP: from RNS: 81ms
| Time | method | m(dimension m of the matrix) | k(dimension k of the matrix) | i(number of repetitions) | s(seed) |
|---|---|---|---|---|---|
| 27.5132 | 1 | 4000 | 4000 | 3 | 1526855394 |
| 27.2788 | 2 | 4000 | 4000 | 3 | 1526855394 |
| 28.7421 | 3 | 4000 | 4000 | 3 | 1526855394 |
FGEMM_MP: nb prime: 109
FGEMM_MP: init: 4508ms
FGEMM_MP: to RNS: 17709ms
==========================================
Pointwise fgemm : 4.09299 (109) moduli
==========================================
FGEMM_MP: RNS Mul: 4093ms
FGEMM_MP: from RNS: 682ms
FGEMM_MP: nb prime: 109
FGEMM_MP: init: 4810ms
FGEMM_MP: to RNS: 18192ms
==========================================
Pointwise fgemm : 3.6855 (109) moduli
==========================================
FGEMM_MP: RNS Mul: 3685ms
FGEMM_MP: from RNS: 692ms
FGEMM_MP: nb prime: 109
FGEMM_MP: init: 4706ms
FGEMM_MP: to RNS: 20976ms
==========================================
Pointwise fgemm : 3.91202 (109) moduli
==========================================
FGEMM_MP: RNS Mul: 3912ms
FGEMM_MP: from RNS: 715ms
| Time | method | m(dimension m of the matrix) | k(dimension k of the matrix) | i(number of repetitions) | s(seed) |
|---|---|---|---|---|---|
| 3.12621 | 1 | 4000 | 4000 | 3 | 1526855394 |
| 3.22379 | 2 | 4000 | 4000 | 3 | 1526855394 |
| 3.27937 | 3 | 4000 | 4000 | 3 | 1526855394 |
FGEMM_MP: nb prime: 12
FGEMM_MP: init: 1135ms
FGEMM_MP: to RNS: 1575ms
==========================================
Pointwise fgemm : 0.42829 (12) moduli
==========================================
FGEMM_MP: RNS Mul: 428ms
FGEMM_MP: from RNS: 87ms
FGEMM_MP: nb prime: 12
FGEMM_MP: init: 1175ms
FGEMM_MP: to RNS: 1649ms
==========================================
Pointwise fgemm : 0.398379 (12) moduli
==========================================
FGEMM_MP: RNS Mul: 398ms
FGEMM_MP: from RNS: 86ms
FGEMM_MP: nb prime: 12
FGEMM_MP: init: 1177ms
FGEMM_MP: to RNS: 1626ms
==========================================
Pointwise fgemm : 0.41382 (12) moduli
==========================================
FGEMM_MP: RNS Mul: 414ms
FGEMM_MP: from RNS: 90ms
| Time | method | m(dimension m of the matrix) | k(dimension k of the matrix) | i(number of repetitions) | s(seed) |
|---|---|---|---|---|---|
| 26.1346 | 1 | 4000 | 4000 | 3 | 1526855394 |
| 27.8272 | 2 | 4000 | 4000 | 3 | 1526855394 |
| 26.5143 | 3 | 4000 | 4000 | 3 | 1526855394 |
FGEMM_MP: nb prime: 109
FGEMM_MP: init: 5014ms
FGEMM_MP: to RNS: 17740ms
==========================================
Pointwise fgemm : 3.10184 (109) moduli
==========================================
FGEMM_MP: RNS Mul: 3102ms
FGEMM_MP: from RNS: 723ms
FGEMM_MP: nb prime: 109
FGEMM_MP: init: 5346ms
FGEMM_MP: to RNS: 19011ms
==========================================
Pointwise fgemm : 3.44793 (109) moduli
==========================================
FGEMM_MP: RNS Mul: 3448ms
FGEMM_MP: from RNS: 722ms
FGEMM_MP: nb prime: 109
FGEMM_MP: init: 4732ms
FGEMM_MP: to RNS: 17915ms
==========================================
Pointwise fgemm : 3.15413 (109) moduli
==========================================
FGEMM_MP: RNS Mul: 3154ms
FGEMM_MP: from RNS: 741ms