Github user yanboliang commented on a diff in the pull request:

    https://github.com/apache/spark/pull/16699#discussion_r124271108
  
    --- Diff: 
mllib/src/test/scala/org/apache/spark/ml/regression/GeneralizedLinearRegressionSuite.scala
 ---
    @@ -578,6 +578,79 @@ class GeneralizedLinearRegressionSuite
         }
       }
     
    +  test("generalized linear regression with offset") {
    +    /*
    +      R code:
    +      df <- as.data.frame(matrix(c(
    +        1.0, 1.0, 2.0, 0.0, 5.0,
    +        2.0, 2.0, 0.5, 1.0, 2.0,
    +        1.0, 3.0, 1.0, 2.0, 1.0,
    +        2.0, 4.0, 0.0, 3.0, 3.0), 4, 5, byrow = TRUE))
    +      families <- c(gaussian, poisson, Gamma)
    +      f1 <- V1 ~ -1 + V4 + V5
    +      f2 <- V1 ~ V4 + V5
    +      for (f in c(f1, f2)) {
    +        for (fam in families) {
    +          model <- glm(f, df, family = fam, weights = V2, offset = V3)
    +          print(as.vector(coef(model)))
    +        }
    +      }
    +
    +      [1] 0.535040431 0.005390836
    +      [1]  0.1968355 -0.2061711
    +      [1]  0.307996 -0.153579
    +      [1] -0.8800000  0.7342857  0.1714286
    +      [1] -1.9991044  0.7247511  0.1424392
    +      [1] -0.27378146  0.31599396 -0.06204946
    +     */
    +    val dataset = Seq(
    +      OffsetInstance(1.0, 1.0, 2.0, Vectors.dense(0.0, 5.0)),
    +      OffsetInstance(2.0, 2.0, 0.5, Vectors.dense(1.0, 2.0)),
    +      OffsetInstance(1.0, 3.0, 1.0, Vectors.dense(2.0, 1.0)),
    +      OffsetInstance(2.0, 4.0, 0.0, Vectors.dense(3.0, 3.0))
    +    ).toDF()
    +
    +    val expected = Seq(
    +      Vectors.dense(0.0, 0.535040431, 0.005390836),
    +      Vectors.dense(0.0, 0.1968355, -0.2061711),
    +      Vectors.dense(0.0, 0.307996, -0.153579),
    +      Vectors.dense(-0.88, 0.7342857, 0.1714286),
    +      Vectors.dense(-1.9991044, 0.7247511, 0.1424392),
    +      Vectors.dense(-0.27378146, 0.31599396, -0.06204946))
    +
    +    import GeneralizedLinearRegression._
    +
    +    var idx = 0
    +    for (fitIntercept <- Seq(false, true)) {
    +      for (family <- Seq("gaussian", "poisson", "gamma")) {
    +      val trainer = new GeneralizedLinearRegression().setFamily(family)
    +        .setFitIntercept(fitIntercept).setOffsetCol("offset")
    +        .setWeightCol("weight").setLinkPredictionCol("linkPrediction")
    +      val model = trainer.fit(dataset)
    +      val actual = Vectors.dense(model.intercept, model.coefficients(0), 
model.coefficients(1))
    +      assert(actual ~= expected(idx) absTol 1e-4, s"Model mismatch: GLM 
with family = $family," +
    +        s" and fitIntercept = $fitIntercept.")
    +
    +      val familyObj = Family.fromName(family)
    +      val familyLink = new FamilyAndLink(familyObj, familyObj.defaultLink)
    +      model.transform(dataset).select("features", "offset", "prediction", 
"linkPrediction")
    +        .collect().foreach {
    +          case Row(features: DenseVector, offset: Double, prediction1: 
Double,
    +          linkPrediction1: Double) =>
    +            val eta = BLAS.dot(features, model.coefficients) + 
model.intercept + offset
    +            val prediction2 = familyLink.fitted(eta)
    +            val linkPrediction2 = eta
    +            assert(prediction1 ~= prediction2 relTol 1E-5, "Prediction 
mismatch: GLM with " +
    --- End diff --
    
    Here we use ```~=``` intentionally, since we need to handle exception 
information by ourselves to make it more clear by printing out family name and 
whether to fit with intercept.


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