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>>)

Benchmark using OpenMP

OMP_NUM_THREADS=1

100 bits

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	1020440166
18.9155	0	8000	8000	3	1020440166

200 bits

Time	method	m(dimension m of the matrix)	k(dimension k of the matrix)	i(number of repetitions)	s(seed)
8.492	0	4000	4000	3	1020440166
33.7214	0	8000	8000	3	1020440166

OMP_NUM_THREADS=32

4000x4000 and 100 bits

Time	method	m(dimension m of the matrix)	k(dimension k of the matrix)	i(number of repetitions)	s(seed)
3.54186	1	4000	4000	3	1020440166
3.27615	2	4000	4000	3	1020440166
3.50192	3	4000	4000	3	1020440166

4000x4000 and 200 bits

Time	method	m(dimension m of the matrix)	k(dimension k of the matrix)	i(number of repetitions)	s(seed)
10.4996	1	4000	4000	3	1020440166
10.1195	2	4000	4000	3	1020440166
8.70186	3	4000	4000	3	1020440166

8000x8000 and 100 bits

Time	method	m(dimension m of the matrix)	k(dimension k of the matrix)	i(number of repetitions)	s(seed)
13.6897	1	4000	4000	3	1020440166
12.7661	2	4000	4000	3	1020440166
14.1094	3	4000	4000	3	1020440166

8000x8000 and 200 bits

Time	method	m(dimension m of the matrix)	k(dimension k of the matrix)	i(number of repetitions)	s(seed)
35.8733	1	4000	4000	3	1020440166
37.1161	2	4000	4000	3	1020440166
35.3029	3	4000	4000	3	1020440166

Vary GrainSize from 1 to 16 for 4000x4000 and 100 bits with OMP_NUM_THREADS=32

|Time | method | GrainSize | m(dimension m of the matrix) | k(dimension k of the matrix) | i(number of repetitions) | s(seed) | |---------|------|------|-------|-------|-------| | | 1 | 1 | 4000 | 4000 | 3 | 1020440166 | | | 1 | 2 | 4000 | 4000 | 3 | 1020440166 | | | 1 | 4 | 4000 | 4000 | 3 | 1020440166 | | | 1 | 8 | 4000 | 4000 | 3 | 1020440166 | | | 1 | 16 | 4000 | 4000 | 3 | 1020440166 |