Support complex numbers in BLAS level 2 and 3 rules (#822)

* Complex symv!

* Add rule for hemv!

* Extend trmv! rule to complex numbers

* Tests for complex symv, hemv, trmv

* Extend gemm! rule to complex numbers (6 tests failing, not my fault TM)

* Complex symm! and hemm!

* syrk and herk rules for complex numbers

* Complex trmm!

* Complex trsm!

* Add the tests!

* Make formatter happy

* Fix gemm test

* Split BLAS level 3 tests into a separate set

* Fix level 3 test

* Formatting

* conj(x) is a no-op for real arrays, so simplify code

* Reduce size of hemm matrices to make failures less likely

* Hopefully fix unlucky rng for hemm and trsm

* Give each test 'group' its own rng

* format

* Try another seed

* Fix CI?

* Fix CI?

* Fix CI?

* Bump version

Signed-off-by: Bruno Ploumhans <[email protected]>

---------

Signed-off-by: Bruno Ploumhans <[email protected]>

Author: Technici4n

.github/workflows/CI.yml

@@ -29,6 +29,7 @@ jobs:
           'basic',
           'rrules/avoiding_non_differentiable_code',
           'rrules/blas',
+          'rrules/blas_level_3',
           'rrules/builtins',
           'rrules/dispatch_doctor',
           'rrules/fastmath',

Project.toml

@@ -1,7 +1,7 @@
 name = "Mooncake"
 uuid = "da2b9cff-9c12-43a0-ae48-6db2b0edb7d6"
 authors = ["Will Tebbutt, Hong Ge, and contributors"]
-version = "0.4.176"
+version = "0.4.177"
 
 [deps]
 ADTypes = "47edcb42-4c32-4615-8424-f2b9edc5f35b"