test: add test for norm = 0

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: na
  - task: lint_javascript_src
    status: na
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: na
  - task: lint_javascript_tests
    status: passed
  - task: lint_javascript_benchmarks
    status: na
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: na
  - task: lint_typescript_tests
    status: na
  - task: lint_license_headers
    status: passed
---

@@ -543,3 +543,69 @@ tape( 'the function returns expected values for job = B with complex input (colu
 t.deepEqual( scale, expectedScale, 'returns expected value' );
 t.end();
 });
+
+tape( 'the function returns expected values for job = S with zero norm (row-major)', function test( t ) {
+var expectedScale;
+var expectedOut;
+var expectedA;
+var scale;
+var info;
+var out;
+var A;
+
+A = new Float64Array([
+1.0, 0.0, 4.0,
+2.0, 0.0, 5.0,
+3.0, 0.0, 6.0
+]);
+out = new Float64Array( 2 );
+scale = new Float64Array( 3 );
+
+expectedOut = new Float64Array( [ 0.0, 2.0 ] );
+expectedScale = new Float64Array( [ 1.0, 1.0, 1.0 ] );
+expectedA = new Float64Array([
+1.0, 0.0, 4.0,
+2.0, 0.0, 5.0,
+3.0, 0.0, 6.0
+]);
+
+info = dgebal( 'row-major', 'S', 3, A, 3, out, scale );
+t.strictEqual( info, 0, 'returns expected value' );
+t.deepEqual( out, expectedOut, 'returns expected value' );
+t.deepEqual( A, expectedA, 'returns expected value' );
+t.deepEqual( scale, expectedScale, 'returns expected value' );
+t.end();
+});
+
+tape( 'the function returns expected values for job = S with zero norm (column-major)', function test( t ) {
+var expectedScale;
+var expectedOut;
+var expectedA;
+var scale;
+var info;
+var out;
+var A;
+
+A = new Float64Array([
+1.0, 2.0, 3.0,
+0.0, 0.0, 0.0,
+4.0, 5.0, 6.0
+]);
+out = new Float64Array( 2 );
+scale = new Float64Array( 3 );
+
+expectedOut = new Float64Array( [ 0.0, 2.0 ] );
+expectedScale = new Float64Array( [ 1.0, 1.0, 1.0 ] );
+expectedA = new Float64Array([
+1.0, 2.0, 3.0,
+0.0, 0.0, 0.0,
+4.0, 5.0, 6.0
+]);
+
+info = dgebal( 'column-major', 'S', 3, A, 3, out, scale );
+t.strictEqual( info, 0, 'returns expected value' );
+t.deepEqual( out, expectedOut, 'returns expected value' );
+t.deepEqual( A, expectedA, 'returns expected value' );
+t.deepEqual( scale, expectedScale, 'returns expected value' );
+t.end();
+});