[WIP] add new operator LU factorization

[Chuancysun]

Thanks for your contribution and we appreciate it a lot. :rocket::rocket:

1. Motivation

add floating point operator LU factorization

2. Modification

add implementation of floating point LU factorization

3. Test Report

3.1 Modification Details

3.1.1 Accuracy Acceptance Standard

For static threshold standard details, see: MLU-OPS™ Accuracy Acceptance Standard.

• static threshold
  • diff1
  • [ ] float32 mlu diff1 <= 1e-5
  • [*] float32 mlu diff1 <= 3e-3
  • [ ] float16 mlu diff1 <= 3e-3
  • diff2
  • [ ] float32 mlu diff2 <= 1e-5
  • [* ] float32 mlu diff2 <= 3e-3
  • [ ] float16 mlu diff2 <= 3e-3
  • diff3
  • [ ] mlu diff3 == 0
  • [ ] mlu diff3_1 == 0
  • [ ] mlu diff3_2 == 0
• dynamic threshold
  • [ ] diff1: mlu diff1 <= max(baseline diff1 * 10, static threshold)
  • [ ] diff2: mlu diff2 <= max(baseline diff2 * 10, static threshold)
  • [ ] diff3: mlu diff3 <= max(baseline diff3 * 10, static threshold)
  • float32, threshold = 1e-5
  • float16, threshold = 1e-3

3.1.2 Operator Scheme checklist

• Supported hardware
  • [* ] MLU370
  • [ ] MLU590
• Job types
  • [ ] BLOCK
  • [ ] UNION1
  • [ ] UNION2
  • [ ] UNION4
  • [* ] The operator will dynamically select the most suitable task type, for example, UNION8

3.2 Accuracy Test

3.2.1 Accuracy Test

If you have checked the following items, please tick the relevant box.

• [ ] Data type test (e.g. float32/int8)
• [ ] Multi-dimensional tensor test
• [ ] Layout test
• [ ] Different size/integer remainder end segment/alignment misalignment test
• [ ] Zero dimensional tensor test/zero element test
• [ ] stability test
• [ ] Multiple platform test
• [ ] Gen_case module test, see: Gencase-User-Guide-zh
• [ ] Nan/INF tests
• [ ] Bug fix tests
• [ ] For memory leak check details, see: GTest-User-Guide-zh
• [ ] For code coverage check details, see: GTest-User-Guide-zh
• [ ] For I/O calculation efficiency check details, see: MLU-OPS™-Performance-Acceptance-Standard

3.3 Performance Test

Platform：MLU370

----------- case0 ----------- case0

[Shape ]: input.shape=[256,256], output.shape=[256,256]

[Diffs]: [output] DIFF1: 1.798500e-04 DIFF2: 7.016698e-04 [^ OK ] ../../test/mlu_op_gtest/pb_gtest/src/zoo/sgetrf/test_case/case0.prototxt [ OK ] sgetrf/TestSuite.mluOp/0 (36 ms) [----------] 1 test from sgetrf/TestSuite (36 ms total)

[----------] Global test environment tear-down [ SUMMARY ] Total 1 cases of 1 op(s). ALL PASSED. [==========] 1 test case from 1 test suite ran. (3727 ms total) [ PASSED ] 1 test case.

3.4 Summary Analysis

Please give a brief overview here, if you want to note and summarize the content.