Numba Dot: Handle complex inputs

pytensor/link/numba/dispatch/elemwise.py

@@ -8,6 +8,7 @@ from numba.core.extending import overload
 from numpy.lib.array_utils import normalize_axis_index, normalize_axis_tuple
 from numpy.lib.stride_tricks import as_strided
 
+from pytensor import config
 from pytensor.graph.op import Op
 from pytensor.link.numba.cache import (
     compile_numba_function_src,
@@ -608,37 +609,54 @@ def numba_funcify_Dot(op, node, **kwargs):
     x, y = node.inputs
     [out] = node.outputs
 
-    x_dtype = x.type.dtype
-    y_dtype = y.type.dtype
-    dot_dtype = f"float{max((32, out.type.numpy_dtype.itemsize * 8))}"
-    out_dtype = out.type.dtype
+    x_dtype = x.type.numpy_dtype
+    y_dtype = y.type.numpy_dtype
 
-    if x_dtype == dot_dtype and y_dtype == dot_dtype:
+    numba_dot_dtype = out_dtype = out.type.numpy_dtype
+    if out_dtype.kind not in "fc":
+        # Numba alawys returns non-integral outputs, we need to cast to float
+        numba_dot_dtype = np.dtype(
+            f"float{max((32, out.type.numpy_dtype.itemsize * 8))}"
+        )
+
+    if config.compiler_verbose and not (
+        x_dtype == y_dtype == out_dtype == numba_dot_dtype
+    ):
+        print(  # noqa: T201
+            "Numba Dot requires a type casting of inputs and/or output: "
+            f"{x_dtype=}, {y_dtype=}, {out_dtype=}, {numba_dot_dtype=}"
+        )
+
+    if x_dtype == numba_dot_dtype and y_dtype == numba_dot_dtype:
 
         @numba_basic.numba_njit
         def dot(x, y):
             return np.asarray(np.dot(x, y))
 
-    elif x_dtype == dot_dtype and y_dtype != dot_dtype:
+    elif x_dtype == numba_dot_dtype and y_dtype != numba_dot_dtype:
 
         @numba_basic.numba_njit
         def dot(x, y):
-            return np.asarray(np.dot(x, y.astype(dot_dtype)))
+            return np.asarray(np.dot(x, y.astype(numba_dot_dtype)))
 
-    elif x_dtype != dot_dtype and y_dtype == dot_dtype:
+    elif x_dtype != numba_dot_dtype and y_dtype == numba_dot_dtype:
 
         @numba_basic.numba_njit
         def dot(x, y):
-            return np.asarray(np.dot(x.astype(dot_dtype), y))
+            return np.asarray(np.dot(x.astype(numba_dot_dtype), y))
 
     else:
 
         @numba_basic.numba_njit
         def dot(x, y):
-            return np.asarray(np.dot(x.astype(dot_dtype), y.astype(dot_dtype)))
+            return np.asarray(
+                np.dot(x.astype(numba_dot_dtype), y.astype(numba_dot_dtype))
+            )
+
+    cache_version = 1
 
-    if out_dtype == dot_dtype:
-        return dot
+    if out_dtype == numba_dot_dtype:
+        return dot, cache_version
 
     else:
 
@@ -646,7 +664,7 @@ def numba_funcify_Dot(op, node, **kwargs):
         def dot_with_cast(x, y):
             return dot(x, y).astype(out_dtype)
 
-    return dot_with_cast
+        return dot_with_cast, cache_version
 
 
 @register_funcify_default_op_cache_key(BatchedDot)

tests/link/numba/test_elemwise.py

@@ -718,6 +718,25 @@ class TestsBenchmark:
             (pt.vector(dtype="int16"), rng.random(size=(2,)).astype(np.int16)),
             (pt.vector(dtype="uint8"), rng.random(size=(2,)).astype(np.uint8)),
         ),
+        # Viewing the array with 2 last dimensions as complex128 means
+        # the first entry will be real part and the second entry the imaginary part
+        (
+            (
+                pt.matrix(dtype="complex128"),
+                rng.random(size=(5, 4, 2)).view("complex128").squeeze(-1),
+            ),
+            (
+                pt.matrix(dtype="complex128"),
+                rng.random(size=(4, 3, 2)).view("complex128").squeeze(-1),
+            ),
+        ),
+        (
+            (pt.matrix(dtype="int64"), rng.random(size=(5, 4)).astype("int64")),
+            (
+                pt.matrix(dtype="complex128"),
+                rng.random(size=(4, 3, 2)).view("complex128").squeeze(-1),
+            ),
+        ),
     ],
 )
 def test_Dot(x, y):