ENH: define transform(symmTensor, int/float) as no-op

- avoids implicit promotion of label to scalar for no-op,
  or alternatively promotion of symmTensor to tensor for no-op
  (ie, ambiguous).

- fix incorrect transform(.., symmTensor, ...) declarations.

src/OpenFOAM/fields/FieldFields/transformFieldField/transformFieldField.H

@@ -36,8 +36,8 @@ SourceFiles
 
 \*---------------------------------------------------------------------------*/
 
-#ifndef transformFieldField_H
-#define transformFieldField_H
+#ifndef Foam_transformFieldField_H
+#define Foam_transformFieldField_H
 
 #include "transform.H"
 #include "tensorFieldField.H"

src/OpenFOAM/fields/Fields/symmTransformField/symmTransformField.C

@@ -6,6 +6,7 @@
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
     Copyright (C) 2011-2016 OpenFOAM Foundation
+    Copyright (C) 2023 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -28,132 +29,130 @@ License
 #include "symmTransformField.H"
 #include "FieldM.H"
 
-// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
-
-namespace Foam
-{
-
 // * * * * * * * * * * * * * * * Global Functions  * * * * * * * * * * * * * //
 
 template<class Type>
-void transform
+void Foam::transform
 (
-    Field<Type>& rtf,
-    const symmTensorField& trf,
-    const Field<Type>& tf
+    Field<Type>& result,
+    const symmTensor& rot,
+    const Field<Type>& fld
 )
 {
-    if (trf.size() == 1)
-    {
-        return transform(rtf, trf[0], tf);
+    TFOR_ALL_F_OP_FUNC_S_F
+    (
+        Type, result, =, transform, symmTensor, rot, Type, fld
+    );
 }
-    else
+
+
+template<class Type>
+void Foam::transform
+(
+    Field<Type>& result,
+    const symmTensorField& rot,
+    const Field<Type>& fld
+)
 {
+    if (rot.size() == 1)
+    {
+        return transform(result, rot.front(), fld);
+    }
+
     TFOR_ALL_F_OP_FUNC_F_F
     (
-            Type, rtf, =, transform, symmTensor, trf, Type, tf
-        )
-    }
+        Type, result, =, transform, symmTensor, rot, Type, fld
+    );
 }
 
 
 template<class Type>
-tmp<Field<Type>> transform
+Foam::tmp<Foam::Field<Type>>
+Foam::transform
 (
-    const symmTensorField& trf,
-    const Field<Type>& tf
+    const symmTensorField& rot,
+    const Field<Type>& fld
 )
 {
-    auto tresult = tmp<Field<Type>>::New(tf.size());
-    transform(tresult.ref(), trf, tf);
+    auto tresult = tmp<Field<Type>>::New(fld.size());
+    transform(tresult.ref(), rot, fld);
     return tresult;
 }
 
 
 template<class Type>
-tmp<Field<Type>> transform
+Foam::tmp<Foam::Field<Type>>
+Foam::transform
 (
-    const symmTensorField& trf,
-    const tmp<Field<Type>>& ttf
+    const symmTensorField& rot,
+    const tmp<Field<Type>>& tfld
 )
 {
-    tmp<Field<Type>> tresult = New(ttf);
-    transform(tresult.ref(), trf, ttf());
-    ttf.clear();
+    tmp<Field<Type>> tresult = New(tfld);
+    transform(tresult.ref(), rot, tfld());
+    tfld.clear();
     return tresult;
 }
 
 
 template<class Type>
-tmp<Field<Type>> transform
+Foam::tmp<Foam::Field<Type>>
+Foam::transform
 (
-    const tmp<symmTensorField>& ttrf,
-    const Field<Type>& tf
+    const tmp<symmTensorField>& trot,
+    const Field<Type>& fld
 )
 {
-    auto tresult = tmp<Field<Type>>::New(tf.size());
-    transform(tresult.ref(), ttrf(), tf);
-    ttrf.clear();
+    auto tresult = tmp<Field<Type>>::New(fld.size());
+    transform(tresult.ref(), trot(), fld);
+    trot.clear();
     return tresult;
 }
 
 
 template<class Type>
-tmp<Field<Type>> transform
+Foam::tmp<Foam::Field<Type>>
+Foam::transform
 (
-    const tmp<symmTensorField>& ttrf,
-    const tmp<Field<Type>>& ttf
+    const tmp<symmTensorField>& trot,
+    const tmp<Field<Type>>& tfld
 )
 {
-    tmp<Field<Type>> tresult = New(ttf);
-    transform(tresult.ref(), ttrf(), ttf());
-    ttf.clear();
-    ttrf.clear();
+    tmp<Field<Type>> tresult = New(tfld);
+    transform(tresult.ref(), trot(), tfld());
+    trot.clear();
+    tfld.clear();
     return tresult;
 }
 
 
 template<class Type>
-void transform
+Foam::tmp<Foam::Field<Type>>
+Foam::transform
 (
-    Field<Type>& rtf,
-    const symmTensor& t,
-    const Field<Type>& tf
+    const symmTensor& rot,
+    const Field<Type>& fld
 )
 {
-    TFOR_ALL_F_OP_FUNC_S_F(Type, rtf, =, transform, tensor, t, Type, tf)
-}
-
-
-template<class Type>
-tmp<Field<Type>> transform
-(
-    const symmTensor& t,
-    const Field<Type>& tf
-)
-{
-    auto tresult = tmp<Field<Type>>::New(tf.size());
-    transform(tresult.ref(), t, tf);
+    auto tresult = tmp<Field<Type>>::New(fld.size());
+    transform(tresult.ref(), rot, fld);
     return tresult;
 }
 
 
 template<class Type>
-tmp<Field<Type>> transform
+Foam::tmp<Foam::Field<Type>>
+Foam::transform
 (
-    const symmTensor& t,
-    const tmp<Field<Type>>& ttf
+    const symmTensor& rot,
+    const tmp<Field<Type>>& tfld
 )
 {
-    tmp<Field<Type>> tresult = New(ttf);
-    transform(tresult.ref(), t, ttf());
-    ttf.clear();
+    tmp<Field<Type>> tresult = New(tfld);
+    transform(tresult.ref(), rot, tfld());
+    tfld.clear();
     return tresult;
 }
 
 
-// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
-
-} // End namespace Foam
-
 // ************************************************************************* //

src/OpenFOAM/fields/Fields/symmTransformField/symmTransformField.H

@@ -6,6 +6,7 @@
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
     Copyright (C) 2011-2016 OpenFOAM Foundation
+    Copyright (C) 2023 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -34,8 +35,8 @@ SourceFiles
 
 \*---------------------------------------------------------------------------*/
 
-#ifndef symmTransformField_H
-#define symmTransformField_H
+#ifndef Foam_symmTransformField_H
+#define Foam_symmTransformField_H
 
 #include "symmTransform.H"
 #include "symmTensorField.H"
@@ -48,73 +49,96 @@ namespace Foam
 
 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
-template<class Type>
-void transform(Field<Type>&, const symmTensorField&, const Field<Type>&);
+// transform()
 
 template<class Type>
-tmp<Field<Type>> transform(const symmTensorField&, const Field<Type>&);
+void transform
+(
+    Field<Type>& result,
+    const symmTensor& rot,
+    const Field<Type>& fld
+);
 
 template<class Type>
-tmp<Field<Type>> transform(const symmTensorField&, const tmp<Field<Type>>&);
+void transform
+(
+    Field<Type>& result,
+    const symmTensorField& rot,
+    const Field<Type>& fld
+);
 
-template<class Type>
-tmp<Field<Type>> transform(const tmp<symmTensorField>&, const Field<Type>&);
 
 template<class Type>
 tmp<Field<Type>> transform
 (
-    const tmp<symmTensorField>&,
-    const tmp<Field<Type>>&
+    const symmTensorField& rot,
+    const Field<Type>& fld
+);
+
+template<class Type>
+tmp<Field<Type>> transform
+(
+    const symmTensorField& rot,
+    const tmp<Field<Type>>& tfld
+);
+
+template<class Type>
+tmp<Field<Type>> transform
+(
+    const tmp<symmTensorField>& trot,
+    const Field<Type>& tfld
+);
+
+template<class Type>
+tmp<Field<Type>> transform
+(
+    const tmp<symmTensorField>& trot,
+    const tmp<Field<Type>>& tfld
 );
 
 
 template<class Type>
-void transform(Field<Type>&, const tensor&, const Field<Type>&);
+tmp<Field<Type>> transform
+(
+    const symmTensor& rot,
+    const Field<Type>& fld
+);
 
 template<class Type>
-tmp<Field<Type>> transform(const tensor&, const Field<Type>&);
-
-template<class Type>
-tmp<Field<Type>> transform(const tensor&, const tmp<Field<Type>>&);
-
-
-template<>
-tmp<Field<sphericalTensor>> transformFieldMask<sphericalTensor>
+tmp<Field<Type>> transform
 (
-    const symmTensorField&
-);
-
-template<>
-tmp<Field<sphericalTensor>> transformFieldMask<sphericalTensor>
-(
-    const tmp<symmTensorField>&
+    const symmTensor& rot,
+    const tmp<Field<Type>>& tfld
 );
 
 
-template<>
-tmp<Field<symmTensor>> transformFieldMask<symmTensor>
-(
-    const symmTensorField&
-);
+// Specializations
 
 template<>
-tmp<Field<symmTensor>> transformFieldMask<symmTensor>
-(
-    const tmp<symmTensorField>&
-);
+tmp<Field<sphericalTensor>>
+transformFieldMask<sphericalTensor>(const symmTensorField&);
+
+template<>
+tmp<Field<sphericalTensor>>
+transformFieldMask<sphericalTensor>(const tmp<symmTensorField>&);
 
 
 template<>
-tmp<Field<tensor>> transformFieldMask<tensor>
-(
-    const symmTensorField&
-);
+tmp<Field<symmTensor>>
+transformFieldMask<symmTensor>(const symmTensorField&);
 
 template<>
-tmp<Field<tensor>> transformFieldMask<tensor>
-(
-    const tmp<symmTensorField>&
-);
+tmp<Field<symmTensor>>
+transformFieldMask<symmTensor>(const tmp<symmTensorField>&);
+
+
+template<>
+tmp<Field<tensor>>
+transformFieldMask<tensor>(const symmTensorField&);
+
+template<>
+tmp<Field<tensor>>
+transformFieldMask<tensor>(const tmp<symmTensorField>&);
 
 
 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

src/OpenFOAM/fields/Fields/transformField/transformField.H

@@ -35,8 +35,8 @@ SourceFiles
 
 \*---------------------------------------------------------------------------*/
 
-#ifndef transformField_H
-#define transformField_H
+#ifndef Foam_transformField_H
+#define Foam_transformField_H
 
 #include "transform.H"
 #include "quaternion.H"
@@ -177,6 +177,7 @@ tmp<Field<Type>> invTransform
 );
 
 
+// transformFieldMask()
 
 template<class Type1, class Type2>
 tmp<Field<Type1>> transformFieldMask(const Field<Type2>& fld);

src/OpenFOAM/fields/Fields/transformField/transformFieldTemplates.C

@@ -56,7 +56,7 @@ void Foam::transform
 {
     if (rot.size() == 1)
     {
-        return transform(result, rot.first(), fld);
+        return transform(result, rot.front(), fld);
     }
 
     TFOR_ALL_F_OP_FUNC_F_F
@@ -180,7 +180,7 @@ void Foam::invTransform
 {
     if (rot.size() == 1)
     {
-        return invTransform(result, rot.first(), fld);
+        return invTransform(result, rot.front(), fld);
     }
 
     TFOR_ALL_F_OP_FUNC_F_F

src/OpenFOAM/fields/Fields/transformList/transformList.C

@@ -6,7 +6,7 @@
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
     Copyright (C) 2011-2015 OpenFOAM Foundation
-    Copyright (C) 2018 OpenCFD Ltd.
+    Copyright (C) 2018-2023 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -37,9 +37,12 @@ Foam::List<T> Foam::transform
     const UList<T>& field
 )
 {
-    List<T> result(field.size());
+    const label loopLen = field.size();
 
-    forAll(field, i)
+    List<T> result(loopLen);
+
+    /* pragmas... */
+    for (label i = 0; i < loopLen; ++i)
     {
         result[i] = transform(rotTensor, field[i]);
     }
@@ -51,7 +54,10 @@ Foam::List<T> Foam::transform
 template<class T>
 void Foam::transformList(const tensor& rotTensor, UList<T>& field)
 {
-    forAll(field, i)
+    const label loopLen = field.size();
+
+    /* pragmas... */
+    for (label i = 0; i < loopLen; ++i)
     {
         field[i] = transform(rotTensor, field[i]);
     }
@@ -63,11 +69,14 @@ void Foam::transformList(const tensorField& rotTensor, UList<T>& field)
 {
     if (rotTensor.size() == 1)
     {
-        transformList(rotTensor[0], field);
+        transformList(rotTensor.front(), field);
     }
     else if (rotTensor.size() == field.size())
     {
-        forAll(field, i)
+        const label loopLen = field.size();
+
+        /* pragmas... */
+        for (label i = 0; i < loopLen; ++i)
         {
             field[i] = transform(rotTensor[i], field[i]);
         }
@@ -98,7 +107,7 @@ void Foam::transformList(const tensorField& rotTensor, Map<T>& field)
 {
     if (rotTensor.size() == 1)
     {
-        transformList(rotTensor[0], field);
+        transformList(rotTensor.front(), field);
     }
     else
     {
@@ -126,7 +135,7 @@ void Foam::transformList(const tensorField& rotTensor, EdgeMap<T>& field)
 {
     if (rotTensor.size() == 1)
     {
-        transformList(rotTensor[0], field);
+        transformList(rotTensor.front(), field);
     }
     else
     {

src/OpenFOAM/fields/Fields/transformList/transformList.H

@@ -35,8 +35,8 @@ SourceFiles
 
 \*---------------------------------------------------------------------------*/
 
-#ifndef transformList_H
-#define transformList_H
+#ifndef Foam_transformList_H
+#define Foam_transformList_H
 
 #include "transform.H"
 #include "List.H"
@@ -67,7 +67,7 @@ void transformList(const tensorField& rotTensor, UList<T>& field);
 template<class T>
 void transformList(const tensor& rotTensor, Map<T>& field);
 
-//- Inplace transform a Map of elements using one tensor per element.
+//- Inplace transform a Map of elements.
 //  Using multiple tensors is ill-defined (Fatal).
 template<class T>
 void transformList(const tensorField& rotTensor, Map<T>& field);
@@ -77,7 +77,7 @@ void transformList(const tensorField& rotTensor, Map<T>& field);
 template<class T>
 void transformList(const tensor& rotTensor, EdgeMap<T>& field);
 
-//- Inplace transform a Map of elements using one tensor per element.
+//- Inplace transform a Map of elements.
 //  Using multiple tensors is ill-defined (Fatal).
 template<class T>
 void transformList(const tensorField& rotTensor, EdgeMap<T>& field);

src/OpenFOAM/fields/GeometricFields/transformGeometricField/transformGeometricField.H

@@ -35,8 +35,8 @@ SourceFiles
 
 \*---------------------------------------------------------------------------*/
 
-#ifndef transformGeometricField_H
-#define transformGeometricField_H
+#ifndef Foam_transformGeometricField_H
+#define Foam_transformGeometricField_H
 
 #include "transform.H"
 #include "GeometricField.H"

src/OpenFOAM/primitives/complex/complexI.H

@@ -274,6 +274,7 @@ inline const complex& sum(const complex& c)
 
 template<class Cmpt> class Tensor;
 
+//- No-op rotational transform for complex
 inline complex transform(const Tensor<scalar>&, const complex c)
 {
     return c;

src/OpenFOAM/primitives/transform/symmTransform.H

@@ -6,6 +6,7 @@
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
     Copyright (C) 2011 OpenFOAM Foundation
+    Copyright (C) 2023 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -31,8 +32,8 @@ Description
 
 \*---------------------------------------------------------------------------*/
 
-#ifndef symmTransform_H
-#define symmTransform_H
+#ifndef Foam_symmTransform_H
+#define Foam_symmTransform_H
 
 #include "transform.H"
 
@@ -43,57 +44,84 @@ namespace Foam
 
 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
-inline scalar transform(const symmTensor&, const scalar s)
+//- No-op rotational transform for base types
+template<class T>
+constexpr typename std::enable_if<std::is_arithmetic<T>::value, T>::type
+transform(const symmTensor&, const T val)
 {
-    return s;
+    return val;
 }
 
 
+//- No-op rotational transform for spherical tensor
 template<class Cmpt>
-inline Vector<Cmpt> transform(const symmTensor& stt, const Vector<Cmpt>& v)
+inline SphericalTensor<Cmpt> transform
+(
+    const symmTensor&,
+    const SphericalTensor<Cmpt>& val
+)
 {
-    return stt & v;
+    return val;
 }
 
 
+//- Use rotational tensor to transform a vector
+//  Same as (rot & v)
+template<class Cmpt>
+inline Vector<Cmpt> transform(const symmTensor& tt, const Vector<Cmpt>& v)
+{
+    return tt & v;
+}
+
+
+//- Use rotational tensor to transform a tensor.
+//  Same as (rot & input & rot.T())
 template<class Cmpt>
 inline Tensor<Cmpt> transform(const symmTensor& stt, const Tensor<Cmpt>& t)
 {
-    //return stt & t & stt.T();
     return Tensor<Cmpt>
     (
+        // xx:
         (stt.xx()*t.xx() + stt.xy()*t.yx() + stt.xz()*t.zx())*stt.xx()
       + (stt.xx()*t.xy() + stt.xy()*t.yy() + stt.xz()*t.zy())*stt.xy()
       + (stt.xx()*t.xz() + stt.xy()*t.yz() + stt.xz()*t.zz())*stt.xz(),
 
+        // xy:
         (stt.xx()*t.xx() + stt.xy()*t.yx() + stt.xz()*t.zx())*stt.xy()
       + (stt.xx()*t.xy() + stt.xy()*t.yy() + stt.xz()*t.zy())*stt.yy()
       + (stt.xx()*t.xz() + stt.xy()*t.yz() + stt.xz()*t.zz())*stt.yz(),
 
+        // xz:
         (stt.xx()*t.xx() + stt.xy()*t.yx() + stt.xz()*t.zx())*stt.xz()
       + (stt.xx()*t.xy() + stt.xy()*t.yy() + stt.xz()*t.zy())*stt.yz()
       + (stt.xx()*t.xz() + stt.xy()*t.yz() + stt.xz()*t.zz())*stt.zz(),
 
+        // yx:
         (stt.xy()*t.xx() + stt.yy()*t.yx() + stt.yz()*t.zx())*stt.xx()
       + (stt.xy()*t.xy() + stt.yy()*t.yy() + stt.yz()*t.zy())*stt.xy()
       + (stt.xy()*t.xz() + stt.yy()*t.yz() + stt.yz()*t.zz())*stt.xz(),
 
+        // yy:
         (stt.xy()*t.xx() + stt.yy()*t.yx() + stt.yz()*t.zx())*stt.xy()
       + (stt.xy()*t.xy() + stt.yy()*t.yy() + stt.yz()*t.zy())*stt.yy()
       + (stt.xy()*t.xz() + stt.yy()*t.yz() + stt.yz()*t.zz())*stt.yz(),
 
+        // yz:
         (stt.xy()*t.xx() + stt.yy()*t.yx() + stt.yz()*t.zx())*stt.xz()
       + (stt.xy()*t.xy() + stt.yy()*t.yy() + stt.yz()*t.zy())*stt.yz()
       + (stt.xy()*t.xz() + stt.yy()*t.yz() + stt.yz()*t.zz())*stt.zz(),
 
+        // zx:
         (stt.xz()*t.xx() + stt.yz()*t.yx() + stt.zz()*t.zx())*stt.xx()
       + (stt.xz()*t.xy() + stt.yz()*t.yy() + stt.zz()*t.zy())*stt.xy()
       + (stt.xz()*t.xz() + stt.yz()*t.yz() + stt.zz()*t.zz())*stt.xz(),
 
+        // zy:
         (stt.xz()*t.xx() + stt.yz()*t.yx() + stt.zz()*t.zx())*stt.xy()
       + (stt.xz()*t.xy() + stt.yz()*t.yy() + stt.zz()*t.zy())*stt.yy()
       + (stt.xz()*t.xz() + stt.yz()*t.yz() + stt.zz()*t.zz())*stt.yz(),
 
+        // zz:
         (stt.xz()*t.xx() + stt.yz()*t.yx() + stt.zz()*t.zx())*stt.xz()
       + (stt.xz()*t.xy() + stt.yz()*t.yy() + stt.zz()*t.zy())*stt.yz()
       + (stt.xz()*t.xz() + stt.yz()*t.yz() + stt.zz()*t.zz())*stt.zz()
@@ -101,17 +129,8 @@ inline Tensor<Cmpt> transform(const symmTensor& stt, const Tensor<Cmpt>& t)
 }
 
 
-template<class Cmpt>
-inline SphericalTensor<Cmpt> transform
-(
-    const symmTensor& stt,
-    const SphericalTensor<Cmpt>& st
-)
-{
-    return st;
-}
-
-
+//- Use rotational tensor to transform a symmTensor
+//  Same as (rot & input & rot.T())
 template<class Cmpt>
 inline SymmTensor<Cmpt> transform
 (
@@ -121,26 +140,32 @@ inline SymmTensor<Cmpt> transform
 {
     return SymmTensor<Cmpt>
     (
+        // xx:
         (stt.xx()*st.xx() + stt.xy()*st.xy() + stt.xz()*st.xz())*stt.xx()
       + (stt.xx()*st.xy() + stt.xy()*st.yy() + stt.xz()*st.yz())*stt.xy()
       + (stt.xx()*st.xz() + stt.xy()*st.yz() + stt.xz()*st.zz())*stt.xz(),
 
+        // xy:
         (stt.xx()*st.xx() + stt.xy()*st.xy() + stt.xz()*st.xz())*stt.xy()
       + (stt.xx()*st.xy() + stt.xy()*st.yy() + stt.xz()*st.yz())*stt.yy()
       + (stt.xx()*st.xz() + stt.xy()*st.yz() + stt.xz()*st.zz())*stt.yz(),
 
+        // xz:
         (stt.xx()*st.xx() + stt.xy()*st.xy() + stt.xz()*st.xz())*stt.xz()
       + (stt.xx()*st.xy() + stt.xy()*st.yy() + stt.xz()*st.yz())*stt.yz()
       + (stt.xx()*st.xz() + stt.xy()*st.yz() + stt.xz()*st.zz())*stt.zz(),
 
+        // yy:
         (stt.xy()*st.xx() + stt.yy()*st.xy() + stt.yz()*st.xz())*stt.xy()
       + (stt.xy()*st.xy() + stt.yy()*st.yy() + stt.yz()*st.yz())*stt.yy()
       + (stt.xy()*st.xz() + stt.yy()*st.yz() + stt.yz()*st.zz())*stt.yz(),
 
+        // yz:
         (stt.xy()*st.xx() + stt.yy()*st.xy() + stt.yz()*st.xz())*stt.xz()
       + (stt.xy()*st.xy() + stt.yy()*st.yy() + stt.yz()*st.yz())*stt.yz()
       + (stt.xy()*st.xz() + stt.yy()*st.yz() + stt.yz()*st.zz())*stt.zz(),
 
+        // zz:
         (stt.xz()*st.xx() + stt.yz()*st.xy() + stt.zz()*st.xz())*stt.xz()
       + (stt.xz()*st.xy() + stt.yz()*st.yy() + stt.zz()*st.yz())*stt.yz()
       + (stt.xz()*st.xz() + stt.yz()*st.yz() + stt.zz()*st.zz())*stt.zz()
@@ -148,6 +173,8 @@ inline SymmTensor<Cmpt> transform
 }
 
 
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
 template<>
 inline sphericalTensor transformMask<sphericalTensor>(const symmTensor& st)
 {

src/OpenFOAM/primitives/transform/transform.H

@@ -6,7 +6,7 @@
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
     Copyright (C) 2011-2016 OpenFOAM Foundation
-    Copyright (C) 2020 OpenCFD Ltd.
+    Copyright (C) 2020-2023 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -146,6 +146,8 @@ inline tensor Ra(const vector& a, const scalar omega)
 }
 
 
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
 //- No-op rotational transform for base types
 template<class T>
 constexpr typename std::enable_if<std::is_arithmetic<T>::value, T>::type
@@ -154,6 +156,19 @@ transform(const tensor&, const T val)
     return val;
 }
 
+
+//- No-op rotational transform for spherical tensor
+template<class Cmpt>
+inline SphericalTensor<Cmpt> transform
+(
+    const tensor&,
+    const SphericalTensor<Cmpt>& val
+)
+{
+    return val;
+}
+
+
 //- No-op inverse rotational transform for base types
 template<class T>
 constexpr typename std::enable_if<std::is_arithmetic<T>::value, T>::type
@@ -163,6 +178,18 @@ invTransform(const tensor&, const T val)
 }
 
 
+//- No-op inverse rotational transform for spherical tensor
+template<class Cmpt>
+inline SphericalTensor<Cmpt> invTransform
+(
+    const tensor&,
+    const SphericalTensor<Cmpt>& val
+)
+{
+    return val;
+}
+
+
 //- Use rotational tensor to transform a vector.
 //  Same as (rot & v)
 template<class Cmpt>
@@ -188,38 +215,47 @@ inline Tensor<Cmpt> transform(const tensor& tt, const Tensor<Cmpt>& t)
 {
     return Tensor<Cmpt>
     (
+        // xx:
         (tt.xx()*t.xx() + tt.xy()*t.yx() + tt.xz()*t.zx())*tt.xx()
       + (tt.xx()*t.xy() + tt.xy()*t.yy() + tt.xz()*t.zy())*tt.xy()
       + (tt.xx()*t.xz() + tt.xy()*t.yz() + tt.xz()*t.zz())*tt.xz(),
 
+        // xy:
         (tt.xx()*t.xx() + tt.xy()*t.yx() + tt.xz()*t.zx())*tt.yx()
       + (tt.xx()*t.xy() + tt.xy()*t.yy() + tt.xz()*t.zy())*tt.yy()
       + (tt.xx()*t.xz() + tt.xy()*t.yz() + tt.xz()*t.zz())*tt.yz(),
 
+        // xz:
         (tt.xx()*t.xx() + tt.xy()*t.yx() + tt.xz()*t.zx())*tt.zx()
       + (tt.xx()*t.xy() + tt.xy()*t.yy() + tt.xz()*t.zy())*tt.zy()
       + (tt.xx()*t.xz() + tt.xy()*t.yz() + tt.xz()*t.zz())*tt.zz(),
 
+        // yx:
         (tt.yx()*t.xx() + tt.yy()*t.yx() + tt.yz()*t.zx())*tt.xx()
       + (tt.yx()*t.xy() + tt.yy()*t.yy() + tt.yz()*t.zy())*tt.xy()
       + (tt.yx()*t.xz() + tt.yy()*t.yz() + tt.yz()*t.zz())*tt.xz(),
 
+        // yy:
         (tt.yx()*t.xx() + tt.yy()*t.yx() + tt.yz()*t.zx())*tt.yx()
       + (tt.yx()*t.xy() + tt.yy()*t.yy() + tt.yz()*t.zy())*tt.yy()
       + (tt.yx()*t.xz() + tt.yy()*t.yz() + tt.yz()*t.zz())*tt.yz(),
 
+        // yz:
         (tt.yx()*t.xx() + tt.yy()*t.yx() + tt.yz()*t.zx())*tt.zx()
       + (tt.yx()*t.xy() + tt.yy()*t.yy() + tt.yz()*t.zy())*tt.zy()
       + (tt.yx()*t.xz() + tt.yy()*t.yz() + tt.yz()*t.zz())*tt.zz(),
 
+        // zx:
         (tt.zx()*t.xx() + tt.zy()*t.yx() + tt.zz()*t.zx())*tt.xx()
       + (tt.zx()*t.xy() + tt.zy()*t.yy() + tt.zz()*t.zy())*tt.xy()
       + (tt.zx()*t.xz() + tt.zy()*t.yz() + tt.zz()*t.zz())*tt.xz(),
 
+        // zy:
         (tt.zx()*t.xx() + tt.zy()*t.yx() + tt.zz()*t.zx())*tt.yx()
       + (tt.zx()*t.xy() + tt.zy()*t.yy() + tt.zz()*t.zy())*tt.yy()
       + (tt.zx()*t.xz() + tt.zy()*t.yz() + tt.zz()*t.zz())*tt.yz(),
 
+        // zz:
         (tt.zx()*t.xx() + tt.zy()*t.yx() + tt.zz()*t.zx())*tt.zx()
       + (tt.zx()*t.xy() + tt.zy()*t.yy() + tt.zz()*t.zy())*tt.zy()
       + (tt.zx()*t.xz() + tt.zy()*t.yz() + tt.zz()*t.zz())*tt.zz()
@@ -234,38 +270,47 @@ inline Tensor<Cmpt> invTransform(const tensor& tt, const Tensor<Cmpt>& t)
 {
     return Tensor<Cmpt>
     (
+        // xx:
         (tt.xx()*t.xx() + tt.yx()*t.yx() + tt.zx()*t.zx())*tt.xx()
       + (tt.xx()*t.xy() + tt.yx()*t.yy() + tt.zx()*t.zy())*tt.yx()
       + (tt.xx()*t.xz() + tt.yx()*t.yz() + tt.zx()*t.zz())*tt.zx(),
 
+        // xy:
         (tt.xx()*t.xx() + tt.yx()*t.yx() + tt.zx()*t.zx())*tt.xy()
       + (tt.xx()*t.xy() + tt.yx()*t.yy() + tt.zx()*t.zy())*tt.yy()
       + (tt.xx()*t.xz() + tt.yx()*t.yz() + tt.zx()*t.zz())*tt.zy(),
 
+        // xz:
         (tt.xx()*t.xx() + tt.yx()*t.yx() + tt.zx()*t.zx())*tt.xz()
       + (tt.xx()*t.xy() + tt.yx()*t.yy() + tt.zx()*t.zy())*tt.yz()
       + (tt.xx()*t.xz() + tt.yx()*t.yz() + tt.zx()*t.zz())*tt.zz(),
 
+        // yx:
         (tt.xy()*t.xx() + tt.yy()*t.yx() + tt.zy()*t.zx())*tt.xx()
       + (tt.xy()*t.xy() + tt.yy()*t.yy() + tt.zy()*t.zy())*tt.yx()
       + (tt.xy()*t.xz() + tt.yy()*t.yz() + tt.zy()*t.zz())*tt.zx(),
 
+        // yy:
         (tt.xy()*t.xx() + tt.yy()*t.yx() + tt.zy()*t.zx())*tt.xy()
       + (tt.xy()*t.xy() + tt.yy()*t.yy() + tt.zy()*t.zy())*tt.yy()
       + (tt.xy()*t.xz() + tt.yy()*t.yz() + tt.zy()*t.zz())*tt.zy(),
 
+        // yz:
         (tt.xy()*t.xx() + tt.yy()*t.yx() + tt.zy()*t.zx())*tt.xz()
       + (tt.xy()*t.xy() + tt.yy()*t.yy() + tt.zy()*t.zy())*tt.yz()
       + (tt.xy()*t.xz() + tt.yy()*t.yz() + tt.zy()*t.zz())*tt.zz(),
 
+        // zx:
         (tt.xz()*t.xx() + tt.yz()*t.yx() + tt.zz()*t.zx())*tt.xx()
       + (tt.xz()*t.xy() + tt.yz()*t.yy() + tt.zz()*t.zy())*tt.yx()
       + (tt.xz()*t.xz() + tt.yz()*t.yz() + tt.zz()*t.zz())*tt.zx(),
 
+        // zy:
         (tt.xz()*t.xx() + tt.yz()*t.yx() + tt.zz()*t.zx())*tt.xy()
       + (tt.xz()*t.xy() + tt.yz()*t.yy() + tt.zz()*t.zy())*tt.yy()
       + (tt.xz()*t.xz() + tt.yz()*t.yz() + tt.zz()*t.zz())*tt.zy(),
 
+        // zz:
         (tt.xz()*t.xx() + tt.yz()*t.yx() + tt.zz()*t.zx())*tt.xz()
       + (tt.xz()*t.xy() + tt.yz()*t.yy() + tt.zz()*t.zy())*tt.yz()
       + (tt.xz()*t.xz() + tt.yz()*t.yz() + tt.zz()*t.zz())*tt.zz()
@@ -273,30 +318,6 @@ inline Tensor<Cmpt> invTransform(const tensor& tt, const Tensor<Cmpt>& t)
 }
 
 
-//- Use rotational tensor to transform a spherical tensor (no-op).
-template<class Cmpt>
-inline SphericalTensor<Cmpt> transform
-(
-    const tensor& tt,
-    const SphericalTensor<Cmpt>& st
-)
-{
-    return st;
-}
-
-
-//- Use rotational tensor to inverse transform a spherical tensor (no-op).
-template<class Cmpt>
-inline SphericalTensor<Cmpt> invTransform
-(
-    const tensor& tt,
-    const SphericalTensor<Cmpt>& st
-)
-{
-    return st;
-}
-
-
 //- Use rotational tensor to transform a symmetrical tensor.
 //  Same as (rot & input & rot.T())
 template<class Cmpt>
@@ -304,26 +325,32 @@ inline SymmTensor<Cmpt> transform(const tensor& tt, const SymmTensor<Cmpt>& st)
 {
     return SymmTensor<Cmpt>
     (
+        // xx:
         (tt.xx()*st.xx() + tt.xy()*st.xy() + tt.xz()*st.xz())*tt.xx()
       + (tt.xx()*st.xy() + tt.xy()*st.yy() + tt.xz()*st.yz())*tt.xy()
       + (tt.xx()*st.xz() + tt.xy()*st.yz() + tt.xz()*st.zz())*tt.xz(),
 
+        // xy:
         (tt.xx()*st.xx() + tt.xy()*st.xy() + tt.xz()*st.xz())*tt.yx()
       + (tt.xx()*st.xy() + tt.xy()*st.yy() + tt.xz()*st.yz())*tt.yy()
       + (tt.xx()*st.xz() + tt.xy()*st.yz() + tt.xz()*st.zz())*tt.yz(),
 
+        // xz:
         (tt.xx()*st.xx() + tt.xy()*st.xy() + tt.xz()*st.xz())*tt.zx()
       + (tt.xx()*st.xy() + tt.xy()*st.yy() + tt.xz()*st.yz())*tt.zy()
       + (tt.xx()*st.xz() + tt.xy()*st.yz() + tt.xz()*st.zz())*tt.zz(),
 
+        // yy:
         (tt.yx()*st.xx() + tt.yy()*st.xy() + tt.yz()*st.xz())*tt.yx()
       + (tt.yx()*st.xy() + tt.yy()*st.yy() + tt.yz()*st.yz())*tt.yy()
       + (tt.yx()*st.xz() + tt.yy()*st.yz() + tt.yz()*st.zz())*tt.yz(),
 
+        // yz:
         (tt.yx()*st.xx() + tt.yy()*st.xy() + tt.yz()*st.xz())*tt.zx()
       + (tt.yx()*st.xy() + tt.yy()*st.yy() + tt.yz()*st.yz())*tt.zy()
       + (tt.yx()*st.xz() + tt.yy()*st.yz() + tt.yz()*st.zz())*tt.zz(),
 
+        // zz:
         (tt.zx()*st.xx() + tt.zy()*st.xy() + tt.zz()*st.xz())*tt.zx()
       + (tt.zx()*st.xy() + tt.zy()*st.yy() + tt.zz()*st.yz())*tt.zy()
       + (tt.zx()*st.xz() + tt.zy()*st.yz() + tt.zz()*st.zz())*tt.zz()
@@ -339,26 +366,32 @@ invTransform(const tensor& tt, const SymmTensor<Cmpt>& st)
 {
     return SymmTensor<Cmpt>
     (
+        // xx:
         (tt.xx()*st.xx() + tt.yx()*st.xy() + tt.zx()*st.xz())*tt.xx()
       + (tt.xx()*st.xy() + tt.yx()*st.yy() + tt.zx()*st.yz())*tt.yx()
       + (tt.xx()*st.xz() + tt.yx()*st.yz() + tt.zx()*st.zz())*tt.zx(),
 
+        // xy:
         (tt.xx()*st.xx() + tt.yx()*st.xy() + tt.zx()*st.xz())*tt.xy()
       + (tt.xx()*st.xy() + tt.yx()*st.yy() + tt.zx()*st.yz())*tt.yy()
       + (tt.xx()*st.xz() + tt.yx()*st.yz() + tt.zx()*st.zz())*tt.zy(),
 
+        // xz:
         (tt.xx()*st.xx() + tt.yx()*st.xy() + tt.zx()*st.xz())*tt.xz()
       + (tt.xx()*st.xy() + tt.yx()*st.yy() + tt.zx()*st.yz())*tt.yz()
       + (tt.xx()*st.xz() + tt.yx()*st.yz() + tt.zx()*st.zz())*tt.zz(),
 
+        // yy:
         (tt.xy()*st.xx() + tt.yy()*st.xy() + tt.zy()*st.xz())*tt.xy()
       + (tt.xy()*st.xy() + tt.yy()*st.yy() + tt.zy()*st.yz())*tt.yy()
       + (tt.xy()*st.xz() + tt.yy()*st.yz() + tt.zy()*st.zz())*tt.zy(),
 
+        // yz:
         (tt.xy()*st.xx() + tt.yy()*st.xy() + tt.zy()*st.xz())*tt.xz()
       + (tt.xy()*st.xy() + tt.yy()*st.yy() + tt.zy()*st.yz())*tt.yz()
       + (tt.xy()*st.xz() + tt.yy()*st.yz() + tt.zy()*st.zz())*tt.zz(),
 
+        // zz:
         (tt.xz()*st.xx() + tt.yz()*st.xy() + tt.zz()*st.xz())*tt.xz()
       + (tt.xz()*st.xy() + tt.yz()*st.yy() + tt.zz()*st.yz())*tt.yz()
       + (tt.xz()*st.xz() + tt.yz()*st.yz() + tt.zz()*st.zz())*tt.zz()
@@ -366,6 +399,8 @@ invTransform(const tensor& tt, const SymmTensor<Cmpt>& st)
 }
 
 
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
 template<class Type1, class Type2>
 inline Type1 transformMask(const Type2& t)
 {