## What changes were proposed in this pull request?

This PR add `Since` annotations in `Vectors.scala` and `Matrices.scala` of spark-mllib-local.

## How was this patch tested?

Scala Style Checks.

Author: Pravin Gadakh <prgadakh@in.ibm.com>

Closes #13191 from pravingadakh/SPARK-14613.

## What changes were proposed in this pull request?

(See https://github.com/apache/spark/pull/12416 where most of this was already reviewed and committed; this is just the module structure and move part. This change does not move the annotations into test scope, which was the apparently problem last time.)

Rename `spark-test-tags` -> `spark-tags`; move common annotations like `Since` to `spark-tags`

## How was this patch tested?

Jenkins tests.

Author: Sean Owen <sowen@cloudera.com>

Closes #13074 from srowen/SPARK-15290.

## What changes were proposed in this pull request?

This PR moves Vector.toJson/fromJson to ml.linalg.VectorEncoder under mllib/ to keep mllib-local's dependency minimal. The json encoding is used by Params. So we still need this feature in SPARK-14615, where we will switch to ml.linalg in spark.ml APIs.

## How was this patch tested?

Copied existing unit tests over.

cc; dbtsai

Author: Xiangrui Meng <meng@databricks.com>

Closes #12802 from mengxr/SPARK-14653.

This reverts commit dae538a4.

## What changes were proposed in this pull request?

This PR adds `since` tag into the matrix and vector classes in spark-mllib-local.

## How was this patch tested?

Scala-style checks passed.

Author: Pravin Gadakh <prgadakh@in.ibm.com>

Closes #12416 from pravingadakh/SPARK-14613.

## What changes were proposed in this pull request?

Before, spark.ml GaussianMixtureModel used the spark.mllib MultivariateGaussian in its public API.  This was added after 1.6, so we can modify this API without breaking APIs.

This PR copies MultivariateGaussian to mllib-local in spark.ml, with a few changes:
* Renamed fields to match numpy, scipy: mu => mean, sigma => cov

This PR then uses the spark.ml MultivariateGaussian in the spark.ml GaussianMixtureModel, which involves:
* Modifying the constructor
* Adding a computeProbabilities method

Also:
* Added EPSILON to mllib-local for use in MultivariateGaussian

## How was this patch tested?

Existing unit tests

Author: Joseph K. Bradley <joseph@databricks.com>

Closes #12593 from jkbradley/sparkml-gmm-fix.

## What changes were proposed in this pull request?

Implement some `hashCode` and `equals` together in order to enable the scalastyle.
This is a first batch, I will continue to implement them but I wanted to know your thoughts.

Author: Joan <joan@goyeau.com>

Closes #12157 from joan38/SPARK-6429-HashCode-Equals.

## What changes were proposed in this pull request?

This task will copy the Vector and Matrix classes from mllib to ml package in mllib-local jar. The UDTs and `since` annotation in ml vector and matrix will be removed from now. UDTs will be achieved by #SPARK-14487, and `since` will be replaced by /*  since 1.2.0 */

The BLAS implementation will be copied, and some of the test utilities will be copies as well.

Summary of changes:

1. In mllib-local/src/main/scala/org/apache/spark/**ml**/linalg/BLAS.scala
  - Copied from mllib/src/main/scala/org/apache/spark/**mllib**/linalg/BLAS.scala
  - logDebug("gemm: alpha is equal to 0 and beta is equal to 1. Returning C.") is removed in ml version.
2. In  mllib-local/src/main/scala/org/apache/spark/**ml**/linalg/Matrices.scala
  - Copied from mllib/src/main/scala/org/apache/spark/**mllib**/linalg/Matrices.scala
  - `Since` was removed, and we'll use standard `/* Since /*` Java doc. Will be in another PR.
  - `UDT` related code was removed, and will use `SPARK-13944` https://github.com/apache/spark/pull/12259  to replace the annotation.
3. In mllib-local/src/main/scala/org/apache/spark/**ml**/linalg/Vectors.scala
  - Copied from mllib/src/main/scala/org/apache/spark/**mllib**/linalg/Vectors.scala
  - `Since` was removed.
  - `UDT` related code was removed.
  - In `def parseNumeric`, it was throwing `throw new SparkException(s"Cannot parse $other.")`, and now it's throwing `throw new IllegalArgumentException(s"Cannot parse $other.")`
4. In mllib/src/main/scala/org/apache/spark/**mllib**/linalg/Vectors.scala
  - For consistency with ML version of vector, `def parseNumeric` is now throwing `throw new IllegalArgumentException(s"Cannot parse $other.")`
5. mllib/src/main/scala/org/apache/spark/**mllib**/util/NumericParser.scala is moved to mllib-local/src/main/scala/org/apache/spark/**ml**/util/NumericParser.scala
  - All the `throw new SparkException` were replaced by `throw new IllegalArgumentException`

## How was this patch tested?

unit tests

Author: DB Tsai <dbt@netflix.com>

Closes #12317 from dbtsai/dbtsai-ml-vector.

## What changes were proposed in this pull request?

Move json4s, breeze dependency declaration into parent

## How was this patch tested?

Should be no functional change, but Jenkins tests will test that.

Author: Sean Owen <sowen@cloudera.com>

Closes #12390 from srowen/SPARK-14612.

## What changes were proposed in this pull request?

In order to separate the linear algebra, and vector matrix classes into a standalone jar, we need to setup the build first. This PR will create a new jar called mllib-local with minimal dependencies.

The previous PR was failing the build because of `spark-core:test` dependency, and that was reverted. In this PR, `FunSuite` with `// scalastyle:ignore funsuite` in mllib-local test was used, similar to sketch.

Thanks.

## How was this patch tested?

Unit tests

mengxr tedyu holdenk

Author: DB Tsai <dbt@netflix.com>

Closes #12298 from dbtsai/dbtsai-mllib-local-build-fix.

This reverts commit 1598d11b.

## What changes were proposed in this pull request?

In order to separate the linear algebra, and vector matrix classes into a standalone jar, we need to setup the build first. This PR will create a new jar called mllib-local with minimal dependencies. The test scope will still depend on spark-core and spark-core-test in order to use the common utilities, but the runtime will avoid any platform dependency. Couple platform independent classes will be moved to this package to demonstrate how this work.

## How was this patch tested?

Unit tests

Author: DB Tsai <dbt@netflix.com>

Closes #12241 from dbtsai/dbtsai-mllib-local-build.