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

profiler/README.md

@@ -50,21 +50,23 @@ Best Perf: 1.42509 ms, 102.988 TFlops, 234.086 GB/s
 ## Profile contraction kernels
 ```bash
 #arg1: tensor operation (contraction_bilinear=CONTRACTION+Bilinear)
-#arg2: data type (0: fp32; 1: f64)\n"
-#arg3: matrix layout (0: A[m0, m1, k0, k1] * B[k0, k1, n0, n1] + D[m0, m1, n0, n1] = E[m0, m1, n0, n1];
+#arg2: data type (0: fp32; 1: f64; 2: f16; 3: bf16)
+#arg3: compute data type (0: fp32; 1: f64; 2: f16; 3: bf16)
+#arg4: matrix layout (0: A[m0, m1, k0, k1] * B[k0, k1, n0, n1] + D[m0, m1, n0, n1] = E[m0, m1, n0, n1];
 #                     1: A[m0, m1, k0, k1] * B[n0, n1, k0, k1] + D[m0, m1, n0, n1] = E[m0, m1, n0, n1];
 #                     2: A[k0, k1, m0, m1] * B[k0, k1, n0, n1] + D[m0, m1, n0, n1] = E[m0, m1, n0, n1];
 #                     3: A[k0, k1, m0, m1] * B[n0, n1, k0, k1] + D[m0, m1, n0, n1] = E[m0, m1, n0, n1])
-#arg4: verification (0: no; 1: yes)
-#arg5: initialization (0: no init; 1: integer value; 2: decimal value)
-#arg6: print tensor value (0: no; 1: yes)
-#arg7: time kernel (0: no, 1: yes)
-#arg8 and arg9: alpha and beta
-#arg10 to 15: M0, M1, N0, N1, K0, K1
-#arg16 to 31: Strides for A, B, D and E (skip for default)
-
-################                   op  datatype  layout  verify  init  log  time  alpha  beta  M0  M1  N0  N1  K0  K1
-./bin/ckProfiler contraction_bilinear         0       1       0     0    0     1    1.0   1.0 128 128 128 128 128 128
+#arg5: verification (0: no; 1: yes)
+#arg6: initialization (0: no init; 1: integer value; 2: decimal value)
+#arg7: print tensor value (0: no; 1: yes)
+#arg8: time kernel (0: no, 1: yes)
+#arg9: alpha
+#arg10: beta
+#arg11 to 16: M0, M1, N0, N1, K0, K1
+#arg17 to 32: Strides for A, B, D and E (skip for default)
+
+################                   op  datatype  compute_datatype  layout  verify  init  log  time  alpha  beta  M0  M1  N0  N1  K0  K1
+./bin/ckProfiler contraction_bilinear         0                 0       1       0     0    0     1    1.0   1.0 128 128 128 128 128 128
 ```
 
 Result (MI100)