spark-instrumented-optimizer/licenses-binary/LICENSE-blas.txt

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[SPARK-35150][ML] Accelerate fallback BLAS with dev.ludovic.netlib ### What changes were proposed in this pull request? Following https://github.com/apache/spark/pull/30810, I've continued looking for ways to accelerate the usage of BLAS in Spark. With this PR, I integrate work done in the [`dev.ludovic.netlib`](https://github.com/luhenry/netlib/) Maven package. The `dev.ludovic.netlib` library wraps the original `com.github.fommil.netlib` library and focus on accelerating the linear algebra routines in use in Spark. When running the `org.apache.spark.ml.linalg.BLASBenchmark` benchmarking suite, I get the results at [1] on an Intel machine. Moreover, this library is thoroughly tested to return the exact same results as the reference implementation. Under the hood, it reimplements the necessary algorithms in pure autovectorization-friendly Java 8, as well as takes advantage of the Vector API and Foreign Linker API introduced in JDK 16 when available. A table summarising which version gets loaded in which case: ``` | | BLAS.nativeBLAS | BLAS.javaBLAS | | --------------------- | -------------------------------------------------- | -------------------------------------------------- | | with -Pnetlib-lgpl | 1. dev.ludovic.netlib.blas.NetlibNativeBLAS, a | 1. dev.ludovic.netlib.blas.VectorizedBLAS | | | wrapper for com.github.fommil:all | (JDK16+, relies on the Vector API, requires | | | 2. dev.ludovic.netlib.blas.ForeignBLAS (JDK16+, | `--add-modules=jdk.incubator.vector` on JDK16) | | | relies on the Foreign Linker API, requires | 2. dev.ludovic.netlib.blas.Java11BLAS (JDK11+) | | | `--add-modules=jdk.incubator.foreign | 3. dev.ludovic.netlib.blas.JavaBLAS | | | -Dforeign.restricted=warn`) | 4. dev.ludovic.netlib.blas.NetlibF2jBLAS, a | | | 3. fails to load, falls back to BLAS.javaBLAS in | wrapper for com.github.fommil:core | | | org.apache.spark.ml.linalg.BLAS | | | --------------------- | -------------------------------------------------- | -------------------------------------------------- | | without -Pnetlib-lgpl | 1. dev.ludovic.netlib.blas.ForeignBLAS (JDK16+, | 1. dev.ludovic.netlib.blas.VectorizedBLAS | | | relies on the Foreign Linker API, requires | (JDK16+, relies on the Vector API, requires | | | `--add-modules=jdk.incubator.foreign | `--add-modules=jdk.incubator.vector` on JDK16) | | | -Dforeign.restricted=warn`) | 2. dev.ludovic.netlib.blas.Java11BLAS (JDK11+) | | | 2. fails to load, falls back to BLAS.javaBLAS in | 3. dev.ludovic.netlib.blas.JavaBLAS | | | org.apache.spark.ml.linalg.BLAS | 4. dev.ludovic.netlib.blas.NetlibF2jBLAS, a | | | | wrapper for com.github.fommil:core | | --------------------- | -------------------------------------------------- | -------------------------------------------------- | ``` ### Why are the changes needed? Accelerates linear algebra operations when the pure-java fallback method is in use. Transparently falls back to native implementation (OpenBLAS, MKL) when available. ### Does this PR introduce _any_ user-facing change? No, all changes are transparent to the user. ### How was this patch tested? The `dev.ludovic.netlib` library has its own test suite [2]. It has also been validated by running the Spark test suite and benchmarking suite. [1] Results for `org.apache.spark.ml.linalg.BLASBenchmark`: #### 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.NetlibF2jBLAS [info] javaBLAS = dev.ludovic.netlib.blas.Java8BLAS [info] nativeBLAS = dev.ludovic.netlib.blas.Java8BLAS [info] [info] daxpy: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 223 232 8 448.0 2.2 1.0X [info] java 221 228 7 453.0 2.2 1.0X [info] [info] saxpy: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 122 128 4 821.2 1.2 1.0X [info] java 122 128 4 822.3 1.2 1.0X [info] [info] ddot: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 109 112 2 921.4 1.1 1.0X [info] java 70 74 3 1423.5 0.7 1.5X [info] [info] sdot: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 96 98 2 1046.1 1.0 1.0X [info] java 47 49 2 2121.7 0.5 2.0X [info] [info] dscal: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 184 195 8 544.3 1.8 1.0X [info] java 185 196 7 539.5 1.9 1.0X [info] [info] sscal: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 99 104 4 1011.9 1.0 1.0X [info] java 99 104 4 1010.4 1.0 1.0X [info] [info] dspmv[U]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 1 1 0 947.2 1.1 1.0X [info] java 0 0 0 1584.8 0.6 1.7X [info] [info] dspr[U]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 1 1 0 867.4 1.2 1.0X [info] java 1 1 0 865.0 1.2 1.0X [info] [info] dsyr[U]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 1 1 0 485.9 2.1 1.0X [info] java 1 1 0 486.8 2.1 1.0X [info] [info] dgemv[N]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 1 1 0 1843.0 0.5 1.0X [info] java 0 0 0 2690.6 0.4 1.5X [info] [info] dgemv[T]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 1 1 0 1214.7 0.8 1.0X [info] java 0 0 0 2536.8 0.4 2.1X [info] [info] sgemv[N]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 1 1 0 1895.9 0.5 1.0X [info] java 0 0 0 2961.1 0.3 1.6X [info] [info] sgemv[T]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 1 1 0 1223.4 0.8 1.0X [info] java 0 0 0 3091.4 0.3 2.5X [info] [info] dgemm[N,N]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 560 575 20 1787.1 0.6 1.0X [info] java 226 232 5 4432.4 0.2 2.5X [info] [info] dgemm[N,T]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 570 586 23 1755.2 0.6 1.0X [info] java 227 232 4 4410.1 0.2 2.5X [info] [info] dgemm[T,N]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 863 879 17 1158.4 0.9 1.0X [info] java 227 231 3 4407.9 0.2 3.8X [info] [info] dgemm[T,T]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 1282 1305 23 780.0 1.3 1.0X [info] java 227 232 4 4413.4 0.2 5.7X [info] [info] sgemm[N,N]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 538 548 8 1858.6 0.5 1.0X [info] java 221 226 3 4521.1 0.2 2.4X [info] [info] sgemm[N,T]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 549 558 10 1819.9 0.5 1.0X [info] java 222 229 7 4503.5 0.2 2.5X [info] [info] sgemm[T,N]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 838 852 12 1193.0 0.8 1.0X [info] java 222 229 5 4500.5 0.2 3.8X [info] [info] sgemm[T,T]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 905 919 18 1104.8 0.9 1.0X [info] java 221 228 5 4521.3 0.2 4.1X ``` #### 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.NetlibF2jBLAS [info] javaBLAS = dev.ludovic.netlib.blas.Java11BLAS [info] nativeBLAS = dev.ludovic.netlib.blas.Java11BLAS [info] [info] daxpy: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 195 204 10 512.7 2.0 1.0X [info] java 195 202 7 512.4 2.0 1.0X [info] [info] saxpy: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 108 113 4 923.3 1.1 1.0X [info] java 102 107 4 984.4 1.0 1.1X [info] [info] ddot: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 107 110 3 938.1 1.1 1.0X [info] java 69 72 3 1447.1 0.7 1.5X [info] [info] sdot: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 96 98 2 1046.5 1.0 1.0X [info] java 43 45 2 2317.1 0.4 2.2X [info] [info] dscal: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 155 168 8 644.2 1.6 1.0X [info] java 158 169 8 632.8 1.6 1.0X [info] [info] sscal: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 85 90 4 1178.1 0.8 1.0X [info] java 86 90 4 1167.7 0.9 1.0X [info] [info] dspmv[U]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 0 0 0 1182.1 0.8 1.0X [info] java 0 0 0 1432.1 0.7 1.2X [info] [info] dspr[U]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 1 1 0 898.7 1.1 1.0X [info] java 1 1 0 891.5 1.1 1.0X [info] [info] dsyr[U]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 1 1 0 495.4 2.0 1.0X [info] java 1 1 0 495.7 2.0 1.0X [info] [info] dgemv[N]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 0 0 0 2271.6 0.4 1.0X [info] java 0 0 0 3648.1 0.3 1.6X [info] [info] dgemv[T]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 1 1 0 1229.3 0.8 1.0X [info] java 0 0 0 2711.3 0.4 2.2X [info] [info] sgemv[N]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 0 0 0 2677.5 0.4 1.0X [info] java 0 0 0 3288.2 0.3 1.2X [info] [info] sgemv[T]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 1 1 0 1233.0 0.8 1.0X [info] java 0 0 0 2766.3 0.4 2.2X [info] [info] dgemm[N,N]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 520 536 16 1923.6 0.5 1.0X [info] java 214 221 7 4669.5 0.2 2.4X [info] [info] dgemm[N,T]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 593 612 17 1686.5 0.6 1.0X [info] java 215 219 3 4643.3 0.2 2.8X [info] [info] dgemm[T,N]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 853 870 16 1172.8 0.9 1.0X [info] java 215 218 3 4659.7 0.2 4.0X [info] [info] dgemm[T,T]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 1350 1370 23 740.8 1.3 1.0X [info] java 215 219 4 4656.6 0.2 6.3X [info] [info] sgemm[N,N]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 460 468 6 2173.2 0.5 1.0X [info] java 210 213 2 4752.7 0.2 2.2X [info] [info] sgemm[N,T]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 535 544 8 1869.3 0.5 1.0X [info] java 210 215 5 4761.8 0.2 2.5X [info] [info] sgemm[T,N]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 843 853 11 1186.8 0.8 1.0X [info] java 209 214 4 4793.4 0.2 4.0X [info] [info] sgemm[T,T]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 891 904 15 1122.0 0.9 1.0X [info] java 209 214 4 4777.2 0.2 4.3X ``` #### 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.NetlibF2jBLAS [info] javaBLAS = dev.ludovic.netlib.blas.VectorizedBLAS [info] nativeBLAS = dev.ludovic.netlib.blas.VectorizedBLAS [info] [info] daxpy: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 194 199 7 515.7 1.9 1.0X [info] java 181 186 3 551.1 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 109 115 4 915.0 1.1 1.0X [info] java 88 92 3 1138.8 0.9 1.2X [info] [info] ddot: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 108 110 2 922.6 1.1 1.0X [info] java 54 56 2 1839.2 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 1046.1 1.0 1.0X [info] java 29 30 1 3393.4 0.3 3.2X [info] [info] dscal: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 156 165 5 643.0 1.6 1.0X [info] java 150 159 5 667.1 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 91 6 1171.0 0.9 1.0X [info] java 75 79 3 1340.6 0.7 1.1X [info] [info] dspmv[U]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 1 1 0 917.0 1.1 1.0X [info] java 0 0 0 8147.2 0.1 8.9X [info] [info] dspr[U]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 1 1 0 859.3 1.2 1.0X [info] java 1 1 0 859.3 1.2 1.0X [info] [info] dsyr[U]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 1 1 0 482.1 2.1 1.0X [info] java 1 1 0 482.6 2.1 1.0X [info] [info] dgemv[N]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 0 0 0 2214.2 0.5 1.0X [info] java 0 0 0 7975.8 0.1 3.6X [info] [info] dgemv[T]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 1 1 0 1231.4 0.8 1.0X [info] java 0 0 0 8680.9 0.1 7.0X [info] [info] sgemv[N]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 0 0 0 2684.3 0.4 1.0X [info] java 0 0 0 18527.1 0.1 6.9X [info] [info] sgemv[T]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 1 1 0 1235.4 0.8 1.0X [info] java 0 0 0 17347.9 0.1 14.0X [info] [info] dgemm[N,N]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 530 552 18 1887.5 0.5 1.0X [info] java 58 64 3 17143.9 0.1 9.1X [info] [info] dgemm[N,T]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 598 620 17 1671.1 0.6 1.0X [info] java 58 64 3 17196.6 0.1 10.3X [info] [info] dgemm[T,N]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 834 847 14 1199.4 0.8 1.0X [info] java 57 63 4 17486.9 0.1 14.6X [info] [info] dgemm[T,T]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 1338 1366 22 747.3 1.3 1.0X [info] java 58 63 3 17356.6 0.1 23.2X [info] [info] sgemm[N,N]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 489 501 9 2045.5 0.5 1.0X [info] java 36 38 2 27721.9 0.0 13.6X [info] [info] sgemm[N,T]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 478 488 9 2094.0 0.5 1.0X [info] java 36 38 2 27813.2 0.0 13.3X [info] [info] sgemm[T,N]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 825 837 10 1211.6 0.8 1.0X [info] java 35 38 2 28433.1 0.0 23.5X [info] [info] sgemm[T,T]: Best Time(ms) Avg Time(ms) Stdev(ms) Rate(M/s) Per Row(ns) Relative [info] ------------------------------------------------------------------------------------------------------------------------ [info] f2j 900 918 15 1111.6 0.9 1.0X [info] java 36 38 2 28073.0 0.0 25.3X ``` [2] https://github.com/luhenry/netlib/tree/master/blas/src/test/java/dev/ludovic/netlib/blas Closes #32253 from luhenry/master. Authored-by: Ludovic Henry <git@ludovic.dev> Signed-off-by: Sean Owen <srowen@gmail.com>
2021-04-27 15:00:59 -04:00
MIT License
-----------
Copyright 2020, 2021, Ludovic Henry
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