TestPoissonDist.java

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   this work for additional information regarding copyright ownership.
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package org.apache.poi.ss.formula.functions;

import org.apache.poi.hssf.usermodel.HSSFCell;
import org.apache.poi.hssf.usermodel.HSSFFormulaEvaluator;
import org.apache.poi.hssf.usermodel.HSSFSheet;
import org.apache.poi.hssf.usermodel.HSSFWorkbook;
import org.apache.poi.ss.formula.OperationEvaluationContext;
import org.apache.poi.ss.usermodel.FormulaError;
import org.junit.jupiter.api.Test;

import java.io.IOException;

import static org.apache.poi.ss.util.Utils.addRow;
import static org.apache.poi.ss.util.Utils.assertDouble;
import static org.apache.poi.ss.util.Utils.assertError;

/**
 * Tests for {@link Poisson}
 */
final class TestPoissonDist {

    private static final OperationEvaluationContext ec = new OperationEvaluationContext(null, null, 0, 0, 0, null);

    //https://support.microsoft.com/en-us/office/poisson-dist-function-8fe148ff-39a2-46cb-abf3-7772695d9636
    @Test
    void testMicrosoftExample1() throws IOException {
        try (HSSFWorkbook wb = new HSSFWorkbook()) {
            HSSFSheet sheet = wb.createSheet();
            addRow(sheet, 0, "Data", "Description");
            addRow(sheet, 1, 2);
            addRow(sheet, 2, 5);
            HSSFFormulaEvaluator fe = new HSSFFormulaEvaluator(wb);
            HSSFCell cell = wb.getSheetAt(0).getRow(0).createCell(100);
            assertDouble(fe, cell, "POISSON.DIST(A2,A3,TRUE)", 0.12465201948308113, 0.00000000000001);
            assertDouble(fe, cell, "POISSON.DIST(A2,A3,FALSE)", 0.08422433748856833, 0.00000000000001);
            assertDouble(fe, cell, "POISSON(A2,A3,TRUE)", 0.12465201948308113, 0.00000000000001);
            assertDouble(fe, cell, "POISSON(A2,A3,FALSE)", 0.08422433748856833, 0.00000000000001);
            assertDouble(fe, cell, "POISSON(2.1,5,FALSE)", 0.08422433748856833, 0.00000000000001);
            assertDouble(fe, cell, "POISSON(2.9,5,FALSE)", 0.08422433748856833, 0.00000000000001);
        }
    }

    @Test
    void testInvalid() throws IOException {
        try (HSSFWorkbook wb = new HSSFWorkbook()) {
            HSSFSheet sheet = wb.createSheet();
            addRow(sheet, 0, "Data", "Description");
            addRow(sheet, 1, 2);
            addRow(sheet, 2, 5);
            HSSFFormulaEvaluator fe = new HSSFFormulaEvaluator(wb);
            HSSFCell cell = wb.getSheetAt(0).getRow(0).createCell(100);
            assertError(fe, cell, "POISSON.DIST(A2,A3)", FormulaError.VALUE);
            assertError(fe, cell, "POISSON.DIST(\"abc\",A3,TRUE)", FormulaError.VALUE);
            assertError(fe, cell, "POISSON.DIST(A2,\"A3\",TRUE)", FormulaError.VALUE);
            assertError(fe, cell, "POISSON.DIST(-1,A3,TRUE)", FormulaError.NUM);
            assertError(fe, cell, "POISSON.DIST(A2,-5,TRUE)", FormulaError.NUM);
        }
    }

}