spark-instrumented-optimizer/docs/ml-linalg-guide.md
Ludovic Henry b52d47a920 [SPARK-35295][ML] Replace fully com.github.fommil.netlib by dev.ludovic.netlib:2.0
### What changes were proposed in this pull request?

Bump to `dev.ludovic.netlib:2.0` which provides JNI-based wrappers for BLAS, ARPACK, and LAPACK. Theseare not taking dependencies on GPL or LGPL libraries, allowing to provide out-of-the-box support for hardware acceleration when a native library is present (this is still up to the end-user to install such library on their system, like OpenBLAS, Intel MKL, and libarpack2).

### Why are the changes needed?

Great performance improvement for ML-related workload on vanilla-distributions of Spark.

### Does this PR introduce _any_ user-facing change?

Users now take advantage of hardware acceleration as long as a native library is installed (like OpenBLAS, Intel MKL and libarpack2).

### How was this patch tested?

Spark test-suite + dev.ludovic.netlib testsuite.

#### JDK8:
```
[info] OpenJDK 64-Bit Server VM 1.8.0_292-b10 on Linux 5.8.0-50-generic
[info] Intel(R) Xeon(R) E-2276G CPU  3.80GHz
[info]
[info] f2jBLAS    = dev.ludovic.netlib.blas.F2jBLAS
[info] javaBLAS   = dev.ludovic.netlib.blas.Java8BLAS
[info] nativeBLAS = dev.ludovic.netlib.blas.JNIBLAS
[info]
[info] daxpy:           Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        220            226           6        454.9           2.2       1.0X
[info] java                       221            228           5        451.9           2.2       1.0X
[info] native                     209            215           5        478.7           2.1       1.1X
[info]
[info] saxpy:           Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        121            125           3        823.3           1.2       1.0X
[info] java                       121            125           3        824.3           1.2       1.0X
[info] native                     101            105           3        988.4           1.0       1.2X
[info]
[info] dcopy:           Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        212            219           6        470.9           2.1       1.0X
[info] java                       208            212           4        481.0           2.1       1.0X
[info] native                     209            215           5        478.5           2.1       1.0X
[info]
[info] scopy:           Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        114            119           3        878.9           1.1       1.0X
[info] java                        99            105           3       1011.4           1.0       1.2X
[info] native                      97            103           3       1026.7           1.0       1.2X
[info]
[info] ddot:            Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        108            111           2        925.9           1.1       1.0X
[info] java                        71             73           2       1414.9           0.7       1.5X
[info] native                      54             56           2       1847.0           0.5       2.0X
[info]
[info] sdot:            Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                         96             97           2       1046.8           1.0       1.0X
[info] java                        47             48           1       2129.8           0.5       2.0X
[info] native                      29             30           1       3404.7           0.3       3.3X
[info]
[info] dnrm2:           Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        139            143           2        718.2           1.4       1.0X
[info] java                        46             47           1       2171.2           0.5       3.0X
[info] native                      44             46           2       2261.8           0.4       3.1X
[info]
[info] snrm2:           Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        154            157           4        651.0           1.5       1.0X
[info] java                        40             42           1       2469.3           0.4       3.8X
[info] native                      26             27           1       3787.6           0.3       5.8X
[info]
[info] dscal:           Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        185            195           8        541.0           1.8       1.0X
[info] java                       186            196           7        538.5           1.9       1.0X
[info] native                     177            187           7        564.1           1.8       1.0X
[info]
[info] sscal:           Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                         98            102           3       1016.2           1.0       1.0X
[info] java                        98            102           3       1017.8           1.0       1.0X
[info] native                      87             91           3       1143.2           0.9       1.1X
[info]
[info] dgemv[N]:        Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                         68             70           1       1474.7           0.7       1.0X
[info] java                        51             52           1       1973.0           0.5       1.3X
[info] native                      30             32           1       3298.8           0.3       2.2X
[info]
[info] dgemv[T]:        Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                         96             99           2       1037.9           1.0       1.0X
[info] java                        50             51           1       1999.6           0.5       1.9X
[info] native                      30             31           1       3368.1           0.3       3.2X
[info]
[info] sgemv[N]:        Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                         59             61           1       1688.7           0.6       1.0X
[info] java                        41             42           1       2461.9           0.4       1.5X
[info] native                      15             16           1       6593.0           0.2       3.9X
[info]
[info] sgemv[T]:        Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                         90             92           1       1116.2           0.9       1.0X
[info] java                        39             40           1       2565.8           0.4       2.3X
[info] native                      15             16           1       6594.2           0.2       5.9X
[info]
[info] dger:            Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        192            202           7        520.5           1.9       1.0X
[info] java                       203            214           7        491.9           2.0       0.9X
[info] native                     176            187           7        568.8           1.8       1.1X
[info]
[info] dspmv[U]:        Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                         59             61           1        846.1           1.2       1.0X
[info] java                        38             39           1       1313.5           0.8       1.6X
[info] native                      24             27           1       2047.8           0.5       2.4X
[info]
[info] dspr[U]:         Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                         97            101           3        515.4           1.9       1.0X
[info] java                        97            101           2        515.1           1.9       1.0X
[info] native                      88             91           3        569.1           1.8       1.1X
[info]
[info] dsyr[U]:         Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        169            174           3        295.4           3.4       1.0X
[info] java                       169            174           3        295.4           3.4       1.0X
[info] native                     160            165           4        312.2           3.2       1.1X
[info]
[info] dgemm[N,N]:      Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        561            577          13       1782.3           0.6       1.0X
[info] java                       225            231           4       4446.2           0.2       2.5X
[info] native                      31             32           3      32473.1           0.0      18.2X
[info]
[info] dgemm[N,T]:      Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        570            584           9       1754.8           0.6       1.0X
[info] java                       224            230           4       4457.3           0.2       2.5X
[info] native                      31             32           1      32493.4           0.0      18.5X
[info]
[info] dgemm[T,N]:      Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        855            866           6       1169.2           0.9       1.0X
[info] java                       224            228           3       4466.9           0.2       3.8X
[info] native                      31             32           1      32395.5           0.0      27.7X
[info]
[info] dgemm[T,T]:      Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                       1328           1344           8        752.8           1.3       1.0X
[info] java                       224            230           4       4458.9           0.2       5.9X
[info] native                      31             32           1      32201.8           0.0      42.8X
[info]
[info] sgemm[N,N]:      Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        534            541           5       1873.0           0.5       1.0X
[info] java                       220            224           3       4542.8           0.2       2.4X
[info] native                      15             16           1      66803.1           0.0      35.7X
[info]
[info] sgemm[N,T]:      Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        544            551           6       1839.6           0.5       1.0X
[info] java                       220            224           4       4538.2           0.2       2.5X
[info] native                      15             16           1      65589.9           0.0      35.7X
[info]
[info] sgemm[T,N]:      Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        833            845          21       1201.0           0.8       1.0X
[info] java                       220            224           3       4548.7           0.2       3.8X
[info] native                      15             16           1      66603.2           0.0      55.5X
[info]
[info] sgemm[T,T]:      Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        899            907           5       1112.9           0.9       1.0X
[info] java                       221            224           2       4531.6           0.2       4.1X
[info] native                      15             16           1      65944.9           0.0      59.3X
```

#### JDK11:
```
[info] OpenJDK 64-Bit Server VM 11.0.11+9-LTS on Linux 5.8.0-50-generic
[info] Intel(R) Xeon(R) E-2276G CPU  3.80GHz
[info]
[info] f2jBLAS    = dev.ludovic.netlib.blas.F2jBLAS
[info] javaBLAS   = dev.ludovic.netlib.blas.Java11BLAS
[info] nativeBLAS = dev.ludovic.netlib.blas.JNIBLAS
[info]
[info] daxpy:           Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        195            200           3        512.2           2.0       1.0X
[info] java                       197            202           3        507.0           2.0       1.0X
[info] native                     184            189           4        543.0           1.8       1.1X
[info]
[info] saxpy:           Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        108            112           3        921.8           1.1       1.0X
[info] java                       101            105           3        989.4           1.0       1.1X
[info] native                      87             91           3       1147.1           0.9       1.2X
[info]
[info] dcopy:           Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        187            191           3        535.1           1.9       1.0X
[info] java                       182            188           3        548.8           1.8       1.0X
[info] native                     178            182           3        562.2           1.8       1.1X
[info]
[info] scopy:           Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        110            114           3        909.3           1.1       1.0X
[info] java                        86             93           4       1159.3           0.9       1.3X
[info] native                      86             90           3       1162.4           0.9       1.3X
[info]
[info] ddot:            Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        106            108           2        943.6           1.1       1.0X
[info] java                        70             71           2       1426.8           0.7       1.5X
[info] native                      54             56           2       1835.4           0.5       1.9X
[info]
[info] sdot:            Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                         96             97           1       1047.1           1.0       1.0X
[info] java                        43             44           1       2331.9           0.4       2.2X
[info] native                      29             30           1       3392.1           0.3       3.2X
[info]
[info] dnrm2:           Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        114            115           2        880.7           1.1       1.0X
[info] java                        42             43           1       2398.1           0.4       2.7X
[info] native                      45             46           1       2233.3           0.4       2.5X
[info]
[info] snrm2:           Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        140            143           2        714.6           1.4       1.0X
[info] java                        28             29           1       3531.0           0.3       4.9X
[info] native                      26             27           1       3820.0           0.3       5.3X
[info]
[info] dscal:           Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        156            166           7        641.3           1.6       1.0X
[info] java                       158            167           6        633.2           1.6       1.0X
[info] native                     150            160           7        664.8           1.5       1.0X
[info]
[info] sscal:           Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                         85             88           2       1181.7           0.8       1.0X
[info] java                        85             88           2       1176.0           0.9       1.0X
[info] native                      75             78           2       1333.2           0.8       1.1X
[info]
[info] dgemv[N]:        Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                         58             59           1       1731.1           0.6       1.0X
[info] java                        41             43           1       2415.5           0.4       1.4X
[info] native                      30             31           1       3293.9           0.3       1.9X
[info]
[info] dgemv[T]:        Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                         94             96           1       1063.4           0.9       1.0X
[info] java                        41             42           1       2435.8           0.4       2.3X
[info] native                      30             30           1       3379.8           0.3       3.2X
[info]
[info] sgemv[N]:        Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                         44             45           1       2278.9           0.4       1.0X
[info] java                        37             38           0       2686.8           0.4       1.2X
[info] native                      15             16           1       6555.4           0.2       2.9X
[info]
[info] sgemv[T]:        Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                         88             89           1       1142.1           0.9       1.0X
[info] java                        33             34           1       3010.7           0.3       2.6X
[info] native                      15             16           1       6553.9           0.2       5.7X
[info]
[info] dger:            Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        164            172           4        609.4           1.6       1.0X
[info] java                       163            172           5        612.6           1.6       1.0X
[info] native                     150            159           4        667.0           1.5       1.1X
[info]
[info] dspmv[U]:        Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                         49             50           1       1029.4           1.0       1.0X
[info] java                        41             42           1       1209.4           0.8       1.2X
[info] native                      25             27           1       2029.2           0.5       2.0X
[info]
[info] dspr[U]:         Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                         80             85           3        622.2           1.6       1.0X
[info] java                        80             85           3        622.4           1.6       1.0X
[info] native                      75             79           3        668.7           1.5       1.1X
[info]
[info] dsyr[U]:         Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        137            142           3        364.1           2.7       1.0X
[info] java                       139            142           2        360.4           2.8       1.0X
[info] native                     131            135           3        380.4           2.6       1.0X
[info]
[info] dgemm[N,N]:      Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        517            525           5       1935.5           0.5       1.0X
[info] java                       213            216           3       4704.8           0.2       2.4X
[info] native                      31             31           1      32705.6           0.0      16.9X
[info]
[info] dgemm[N,T]:      Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        589            601           6       1698.6           0.6       1.0X
[info] java                       213            217           3       4693.3           0.2       2.8X
[info] native                      31             32           1      32498.9           0.0      19.1X
[info]
[info] dgemm[T,N]:      Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        851            865           6       1175.3           0.9       1.0X
[info] java                       212            216           3       4717.0           0.2       4.0X
[info] native                      30             32           1      32903.0           0.0      28.0X
[info]
[info] dgemm[T,T]:      Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                       1301           1316           6        768.4           1.3       1.0X
[info] java                       212            216           2       4717.4           0.2       6.1X
[info] native                      31             32           1      32606.0           0.0      42.4X
[info]
[info] sgemm[N,N]:      Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        454            460           2       2203.0           0.5       1.0X
[info] java                       208            212           3       4803.8           0.2       2.2X
[info] native                      15             16           0      66586.0           0.0      30.2X
[info]
[info] sgemm[N,T]:      Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        529            536           4       1889.7           0.5       1.0X
[info] java                       208            212           3       4798.6           0.2       2.5X
[info] native                      15             16           1      66751.4           0.0      35.3X
[info]
[info] sgemm[T,N]:      Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        830            840           5       1205.1           0.8       1.0X
[info] java                       208            211           2       4814.1           0.2       4.0X
[info] native                      15             15           1      67676.4           0.0      56.2X
[info]
[info] sgemm[T,T]:      Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        894            907           7       1118.7           0.9       1.0X
[info] java                       208            211           3       4809.6           0.2       4.3X
[info] native                      15             16           1      66675.2           0.0      59.6X
```

#### JDK16:
```
[info] OpenJDK 64-Bit Server VM 16+36 on Linux 5.8.0-50-generic
[info] Intel(R) Xeon(R) E-2276G CPU  3.80GHz
[info]
[info] f2jBLAS    = dev.ludovic.netlib.blas.F2jBLAS
[info] javaBLAS   = dev.ludovic.netlib.blas.VectorBLAS
[info] nativeBLAS = dev.ludovic.netlib.blas.JNIBLAS
[info]
[info] daxpy:           Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        193            199           3        517.5           1.9       1.0X
[info] java                       181            186           4        553.2           1.8       1.1X
[info] native                     181            185           5        553.6           1.8       1.1X
[info]
[info] saxpy:           Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        108            112           2        925.1           1.1       1.0X
[info] java                        88             91           3       1138.6           0.9       1.2X
[info] native                      87             91           3       1144.2           0.9       1.2X
[info]
[info] dcopy:           Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        184            189           3        542.5           1.8       1.0X
[info] java                       181            185           3        552.8           1.8       1.0X
[info] native                     179            183           2        558.0           1.8       1.0X
[info]
[info] scopy:           Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                         97            101           3       1031.6           1.0       1.0X
[info] java                        86             90           2       1163.7           0.9       1.1X
[info] native                      85             88           2       1182.9           0.8       1.1X
[info]
[info] ddot:            Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        107            109           2        932.4           1.1       1.0X
[info] java                        54             56           2       1846.7           0.5       2.0X
[info] native                      54             56           2       1846.7           0.5       2.0X
[info]
[info] sdot:            Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                         96             97           1       1043.6           1.0       1.0X
[info] java                        29             30           1       3439.3           0.3       3.3X
[info] native                      29             30           1       3423.9           0.3       3.3X
[info]
[info] dnrm2:           Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        121            123           2        829.8           1.2       1.0X
[info] java                        32             32           1       3171.3           0.3       3.8X
[info] native                      45             46           1       2246.2           0.4       2.7X
[info]
[info] snrm2:           Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        142            144           2        705.9           1.4       1.0X
[info] java                        15             16           1       6585.8           0.2       9.3X
[info] native                      26             27           1       3839.5           0.3       5.4X
[info]
[info] dscal:           Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        157            165           5        635.6           1.6       1.0X
[info] java                       151            159           5        664.0           1.5       1.0X
[info] native                     151            160           5        663.6           1.5       1.0X
[info]
[info] sscal:           Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                         85             89           2       1172.3           0.9       1.0X
[info] java                        75             79           3       1337.3           0.7       1.1X
[info] native                      75             79           2       1335.5           0.7       1.1X
[info]
[info] dgemv[N]:        Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                         58             59           1       1731.5           0.6       1.0X
[info] java                        28             29           1       3544.2           0.3       2.0X
[info] native                      30             31           1       3306.2           0.3       1.9X
[info]
[info] dgemv[T]:        Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                         90             92           1       1108.3           0.9       1.0X
[info] java                        28             28           1       3622.5           0.3       3.3X
[info] native                      30             31           1       3381.3           0.3       3.1X
[info]
[info] sgemv[N]:        Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                         44             45           1       2284.7           0.4       1.0X
[info] java                        14             15           1       7034.0           0.1       3.1X
[info] native                      15             16           1       6643.7           0.2       2.9X
[info]
[info] sgemv[T]:        Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                         85             86           1       1177.4           0.8       1.0X
[info] java                        15             15           1       6886.1           0.1       5.8X
[info] native                      15             16           1       6560.1           0.2       5.6X
[info]
[info] dger:            Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        164            173           6        608.1           1.6       1.0X
[info] java                       148            157           5        675.2           1.5       1.1X
[info] native                     152            160           5        659.9           1.5       1.1X
[info]
[info] dspmv[U]:        Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                         61             63           1        815.4           1.2       1.0X
[info] java                        16             17           1       3104.3           0.3       3.8X
[info] native                      24             27           1       2071.9           0.5       2.5X
[info]
[info] dspr[U]:         Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                         81             85           2        616.4           1.6       1.0X
[info] java                        81             85           2        614.7           1.6       1.0X
[info] native                      75             78           2        669.5           1.5       1.1X
[info]
[info] dsyr[U]:         Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        138            141           3        362.7           2.8       1.0X
[info] java                       137            140           2        365.3           2.7       1.0X
[info] native                     131            134           2        382.9           2.6       1.1X
[info]
[info] dgemm[N,N]:      Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        525            544           8       1906.2           0.5       1.0X
[info] java                        61             68           3      16358.1           0.1       8.6X
[info] native                      31             32           1      32623.7           0.0      17.1X
[info]
[info] dgemm[N,T]:      Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        580            598          12       1724.5           0.6       1.0X
[info] java                        61             68           4      16302.5           0.1       9.5X
[info] native                      30             32           1      32962.8           0.0      19.1X
[info]
[info] dgemm[T,N]:      Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        829            838           4       1206.2           0.8       1.0X
[info] java                        61             69           3      16339.7           0.1      13.5X
[info] native                      30             31           1      33231.9           0.0      27.6X
[info]
[info] dgemm[T,T]:      Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                       1352           1363           5        739.6           1.4       1.0X
[info] java                        61             69           3      16347.0           0.1      22.1X
[info] native                      31             32           1      32740.3           0.0      44.3X
[info]
[info] sgemm[N,N]:      Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        482            493           7       2073.1           0.5       1.0X
[info] java                        35             38           2      28315.3           0.0      13.7X
[info] native                      15             15           1      67579.7           0.0      32.6X
[info]
[info] sgemm[N,T]:      Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        472            482           4       2119.0           0.5       1.0X
[info] java                        36             38           2      28138.1           0.0      13.3X
[info] native                      15             16           1      66616.5           0.0      31.4X
[info]
[info] sgemm[T,N]:      Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        823            830           5       1215.2           0.8       1.0X
[info] java                        35             38           2      28681.4           0.0      23.6X
[info] native                      15             15           1      67908.4           0.0      55.9X
[info]
[info] sgemm[T,T]:      Best Time(ms)   Avg Time(ms)   Stdev(ms)    Rate(M/s)   Per Row(ns)   Relative
[info] -----------------------------------------------------------------------------------------------
[info] f2j                        896            908           7       1115.8           0.9       1.0X
[info] java                        35             38           2      28402.0           0.0      25.5X
[info] native                      15             16           0      66691.2           0.0      59.8X
```

TODO:
- [x] update documentation in `docs/` and `docs/ml-linalg-guide.md` refering `com.github.fommil.netlib`
- [ ] merge https://github.com/luhenry/netlib/pull/1 with all feedback from this PR + remove references to snapshot repositories in `pom.xml` and `project/SparkBuild.scala`.

Closes #32415 from luhenry/master.

Authored-by: Ludovic Henry <git@ludovic.dev>
Signed-off-by: Sean Owen <srowen@gmail.com>
2021-05-12 08:59:36 -05:00

94 lines
5.4 KiB
Markdown

---
layout: global
title: MLlib Linear Algebra Acceleration Guide
displayTitle: MLlib Linear Algebra Acceleration Guide
license: |
Licensed to the Apache Software Foundation (ASF) under one or more
contributor license agreements. See the NOTICE file distributed with
this work for additional information regarding copyright ownership.
The ASF licenses this file to You under the Apache License, Version 2.0
(the "License"); you may not use this file except in compliance with
the License. You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
---
## Introduction
This guide provides necessary information to enable accelerated linear algebra processing for Spark MLlib.
Spark MLlib defines Vector and Matrix as basic data types for machine learning algorithms. On top of them, [BLAS](https://en.wikipedia.org/wiki/Basic_Linear_Algebra_Subprograms) and [LAPACK](https://en.wikipedia.org/wiki/LAPACK) operations are implemented and supported by [dev.ludovic.netlib](https://github.com/luhenry/netlib) (the algorithms may also call [Breeze](https://github.com/scalanlp/breeze)). `dev.ludovic.netlib` can use optimized native linear algebra libraries (refered to as "native libraries" or "BLAS libraries" hereafter) for faster numerical processing. [Intel MKL](https://software.intel.com/content/www/us/en/develop/tools/math-kernel-library.html) and [OpenBLAS](http://www.openblas.net) are two popular ones.
The official released Spark binaries don't contain these native libraries.
The following sections describe how to install native libraries, configure them properly, and how to point `dev.ludovic.netlib` to these native libraries.
## Install native linear algebra libraries
Intel MKL and OpenBLAS are two popular native linear algebra libraries. You can choose one of them based on your preference. We provide basic instructions as below.
### Intel MKL
- Download and install Intel MKL. The installation should be done on all nodes of the cluster. We assume the installation location is $MKLROOT (e.g. /opt/intel/mkl).
- Create soft links to `libmkl_rt.so` with specific names in system library search paths. For instance, make sure `/usr/local/lib` is in system library search paths and run the following commands:
```
$ ln -sf $MKLROOT/lib/intel64/libmkl_rt.so /usr/local/lib/libblas.so.3
$ ln -sf $MKLROOT/lib/intel64/libmkl_rt.so /usr/local/lib/liblapack.so.3
```
### OpenBLAS
The installation should be done on all nodes of the cluster. Generic version of OpenBLAS are available with most distributions. You can install it with a distribution package manager like `apt` or `yum`.
For Debian / Ubuntu:
```
sudo apt-get install libopenblas-base
sudo update-alternatives --config libblas.so.3
```
For CentOS / RHEL:
```
sudo yum install openblas
```
## Check if native libraries are enabled for MLlib
To verify native libraries are properly loaded, start `spark-shell` and run the following code:
```
scala> import dev.ludovic.netlib.NativeBLAS
scala> NativeBLAS.getInstance()
```
If they are correctly loaded, it should print `dev.ludovic.netlib.NativeBLAS = dev.ludovic.netlib.blas.JNIBLAS@...`. Otherwise the warnings should be printed:
```
WARN NativeBLAS: Failed to load implementation from:dev.ludovic.netlib.blas.JNIBLAS
java.lang.RuntimeException: Unable to load native implementation
at dev.ludovic.netlib.NativeBLAS.getInstance(NativeBLAS.java:44)
...
```
You can also point `dev.ludovic.netlib` to specific libraries names and paths. For example, `-Ddev.ludovic.netlib.blas.nativeLib=libmkl_rt.so` or `-Ddev.ludovic.netlib.blas.nativeLibPath=$MKLROOT/lib/intel64/libmkl_rt.so` for Intel MKL. You have similar parameters for LAPACK and ARPACK: `-Ddev.ludovic.netlib.lapack.nativeLib=...`, `-Ddev.ludovic.netlib.lapack.nativeLibPath=...`, `-Ddev.ludovic.netlib.arpack.nativeLib=...`, and `-Ddev.ludovic.netlib.arpack.nativeLibPath=...`.
If native libraries are not properly configured in the system, the Java implementation (javaBLAS) will be used as fallback option.
## Spark Configuration
The default behavior of multi-threading in either Intel MKL or OpenBLAS may not be optimal with Spark's execution model [^1].
Therefore configuring these native libraries to use a single thread for operations may actually improve performance (see [SPARK-21305](https://issues.apache.org/jira/browse/SPARK-21305)). It is usually optimal to match this to the number of `spark.task.cpus`, which is `1` by default and typically left at `1`.
You can use the options in `config/spark-env.sh` to set thread number for Intel MKL or OpenBLAS:
* For Intel MKL:
```
MKL_NUM_THREADS=1
```
* For OpenBLAS:
```
OPENBLAS_NUM_THREADS=1
```
[^1]: Please refer to the following resources to understand how to configure the number of threads for these BLAS implementations: [Intel MKL](https://software.intel.com/en-us/articles/recommended-settings-for-calling-intel-mkl-routines-from-multi-threaded-applications) or [Intel oneMKL](https://software.intel.com/en-us/onemkl-linux-developer-guide-improving-performance-with-threading) and [OpenBLAS](https://github.com/xianyi/OpenBLAS/wiki/faq#multi-threaded).