test: add initial tests

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
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    status: passed
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    status: passed
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---

Author: aayush0325

lib/node_modules/@stdlib/lapack/base/dgtts2/test/fixtures/col_major_no_offset_no_trans.json

@@ -0,0 +1,38 @@
+{
+  "order": "column-major",
+
+  "itrans": 0,
+  "N": 3,
+  "nrhs": 3,
+
+  "DL": [ 0.25, 0.26666667 ],
+  "sdl": 1,
+  "odl": 0,
+
+  "D": [ 4.0, 3.75, 3.73333333 ],
+  "sd": 1,
+  "od": 0,
+
+  "DU": [ 1.0, 0.73333333 ],
+  "sdu": 1,
+  "odu": 0,
+
+  "DU2": [ 0.0 ],
+  "sdu2": 1,
+  "odu2": 0,
+
+  "IPIV": [ 0, 1, 2 ],
+  "si": 1,
+  "oi": 0,
+
+  "B": [ 7.0, 2.0, 1.0, 8.0, 3.0, 1.5, 7.0, 4.0, 2.0 ],
+  "sb1": 3,
+  "sb2": 1,
+  "ob": 0,
+
+  "LDB": 3,
+
+  "expected": [1.7455555555  ,     0.017777778      ,  0.25,
+  1.9494841268814838, 0.2020634924740646 ,0.3303571422592474,
+  1.6183333331681546, 0.526666667327381 , 0.3749999983258929]
+}

lib/node_modules/@stdlib/lapack/base/dgtts2/test/fixtures/col_major_no_offset_trans.json

@@ -0,0 +1,37 @@
+{
+  "order": "column-major",
+
+  "itrans": 1,
+  "N": 3,
+  "nrhs": 3,
+
+  "DL": [ 0.25, 0.26666667 ],
+  "sdl": 1,
+  "odl": 0,
+
+  "D": [ 4.0, 3.75, 3.73333333 ],
+  "sd": 1,
+  "od": 0,
+
+  "DU": [ 1.0, 0.73333333 ],
+  "sdu": 1,
+  "odu": 0,
+
+  "DU2": [ 0.0 ],
+  "sdu2": 1,
+  "odu2": 0,
+
+  "IPIV": [ 0, 1, 2 ],
+  "si": 1,
+  "oi": 0,
+
+  "B": [ 7.0, 2.0, 1.0, 8.0, 3.0, 1.5, 7.0, 4.0, 2.0 ],
+  "sb": 1,
+  "ob": 0,
+
+  "LDB": 3,
+
+  "expected": [ 1.7503174605488945 ,-0.0012698421955782,  0.2547619050488946,
+  1.9566269844548256  ,0.1734920621806973 , 0.3494047624548257,
+  1.6278571432659439 , 0.4885714269362245 , 0.4178571437659439]
+}

lib/node_modules/@stdlib/lapack/base/dgtts2/test/fixtures/row_major_no_offset_no_trans.json

@@ -0,0 +1,38 @@
+{
+  "order": "row-major",
+
+  "itrans": 0,
+  "N": 3,
+  "nrhs": 3,
+
+  "DL": [ 0.25, 0.26666667 ],
+  "sdl": 1,
+  "odl": 0,
+
+  "D": [ 4.0, 3.75, 3.73333333 ],
+  "sd": 1,
+  "od": 0,
+
+  "DU": [ 1.0, 0.73333333 ],
+  "sdu": 1,
+  "odu": 0,
+
+  "DU2": [ 0.0 ],
+  "sdu2": 1,
+  "odu2": 0,
+
+  "IPIV": [ 0, 1, 2 ],
+  "si": 1,
+  "oi": 0,
+
+  "B": [ 7.0, 2.0, 1.0, 8.0, 3.0, 1.5, 7.0, 4.0, 2.0 ],
+  "sb1": 3,
+  "sb2": 1,
+  "ob": 0,
+
+  "LDB": 3,
+
+  "expected": [1.4031746026466836, 0.3769841267155612 ,0.1884920633577806,
+  1.3873015894132654 ,0.4920634931377552, 0.2460317465688776,
+  1.4285714242665817 ,0.8928571414221939, 0.4464285707110969]
+}

lib/node_modules/@stdlib/lapack/base/dgtts2/test/fixtures/row_major_no_offset_trans.json

@@ -0,0 +1,38 @@
+{
+  "order": "row-major",
+
+  "itrans": 1,
+  "N": 3,
+  "nrhs": 3,
+
+  "DL": [ 0.25, 0.26666667 ],
+  "sdl": 1,
+  "odl": 0,
+
+  "D": [ 4.0, 3.75, 3.73333333 ],
+  "sd": 1,
+  "od": 0,
+
+  "DU": [ 1.0, 0.73333333 ],
+  "sdu": 1,
+  "odu": 0,
+
+  "DU2": [ 0.0 ],
+  "sdu2": 1,
+  "odu2": 0,
+
+  "IPIV": [ 0, 1, 2 ],
+  "si": 1,
+  "oi": 0,
+
+  "B": [ 7.0, 2.0, 1.0, 8.0, 3.0, 1.5, 7.0, 4.0, 2.0 ],
+  "sb1": 3,
+  "sb2": 1,
+  "ob": 0,
+
+  "LDB": 3,
+
+  "expected": [1.4365079379889456 ,0.3960317469111395 ,0.1980158734555697,
+  1.2539682480442178, 0.4158730123554421, 0.2079365061777211,
+  1.5476190504889455, 0.9404761919111395 ,0.4702380959555698]
+}