Add support for mixed precision in contraction scale and bilinear (#973)

* Add support for mixed precision in contraction scale and bilinear (#936)

* Extract common functionality to separate files

* Reference contraction: Remove incorrect consts from type_converts

* Reference contraction: Add missing type_convert for dst value

* Reference contraction: Fix incorrect order of B matrix dimensions

* Add support for mixed precision in contraction scale and bilinear

* Move using statements from instances to a common file

* Move using statements from examples to a common file

* Fix the order of B matrix dimensions across examples and profiler

* Fix the computation of error threshold

* Make ComputeDataType an optional argument

* Include possible DataType -> ComputeDataType casting error in the threshold

* Remove commented code

* Make the ComputeDataType an optional argument in instance

---------

Co-authored-by: Illia Silin <98187287+illsilin@users.noreply.github.com>

include/ck/tensor_operation/gpu/device/device_contraction_multiple_d.hpp

@@ -33,7 +33,8 @@ template <index_t NumDimM,
           typename EDataType,
           typename AElementwiseOperation,
           typename BElementwiseOperation,
-          typename CDEElementwiseOperation>
+          typename CDEElementwiseOperation,
+          typename ComputeDataType = ADataType>
 struct DeviceContractionMultipleD : public BaseOperator
 {
     static constexpr index_t NumDTensor = DsDataType::Size();

include/ck/tensor_operation/gpu/device/impl/device_contraction_multiple_d_xdl_cshuffle.hpp

@@ -145,7 +145,8 @@ template <index_t NumDimM,
           index_t CShuffleNXdlPerWavePerShuffle,
           typename CDEBlockTransferClusterLengths_MBlock_MPerBlock_NBlock_NPerBlock,
           index_t CDEBlockTransferScalarPerVector_NPerBlock,
-          LoopScheduler LoopSched = make_default_loop_scheduler()>
+          typename ComputeDataType = ADataType,
+          LoopScheduler LoopSched  = make_default_loop_scheduler()>
 struct DeviceContractionMultipleD_Xdl_CShuffle
     : public DeviceContractionMultipleD<NumDimM,
                                         NumDimN,
@@ -156,7 +157,8 @@ struct DeviceContractionMultipleD_Xdl_CShuffle
                                         EDataType,
                                         AElementwiseOperation,
                                         BElementwiseOperation,
-                                        CDEElementwiseOperation>
+                                        CDEElementwiseOperation,
+                                        ComputeDataType>
 {
     using DeviceOp = DeviceContractionMultipleD_Xdl_CShuffle;
 
@@ -310,8 +312,6 @@ struct DeviceContractionMultipleD_Xdl_CShuffle
     using DsGridDesc_M_N = remove_cvref_t<decltype(MakeDsGridDescriptor_M_N({{}}, {{}}))>;
     using EGridDesc_M_N  = decltype(MakeEGridDescriptor_M_N({}, {}));
 
-    using ComputeDataType = ADataType;
-
     // GridwiseGemm
     using GridwiseGemm = GridwiseGemmMultipleD_xdl_cshuffle<
         ADataType, // TODO: distinguish A/B datatype