Apply an operator to test- [and trialfunction] identified by component numbers.
```
```
prob.addMatrixOperator(opL, 0, 0);
prob.addMatrixOperator(opL, 0, 0);
prob.addVectorOperator(opF, 0);
prob.addVectorOperator(opF, 0);
```
```
with the number `0` corresponds to the 0th unknown in the 0th equation. We have only one block and thus, this is always 0. More about block systems later.
with the number `0` corresponds to the 0th unknown in the 0th equation. We have only one block and thus, this is always 0.
| `acosh(T), asinh(T), atanh(T)` | Der Arkus Cosinus-Hyperbolicus, Arkus Sinus-Hyperbolicus, Arkus Tangens-Hyperbolicus der Auswertung des Terms T. |
| `acosh(T), asinh(T), atanh(T)` | Inverse hyperbolic functions applied to an evaluated expression. |
| `max(T1, T2), min(T1, T2)` | Das Maximum/Minimum der Auswertungen von T1, bzw. T2. |
| `max(T1, T2), min(T1, T2)` | The maximum/minimum of two evaluated expressions T1 and T2. |
| `abs_(T), signum(T)` | Der Absolutbetrag von T, bzw. das Vorzeichen (`T < 0 => signum(T) := -1, T>0 => signum(T) := 1, T==0 => signum(T) := 0`) |
| `abs_(T), signum(T)` | The absolute value and the sign (`T < 0 => signum(T) := -1, T>0 => signum(T) := 1, T==0 => signum(T) := 0`) |
| `clamp(T, lo, hi)` |
| `clamp(T, lo, hi)` | Applies the `std::clamp` function locally to the evaluated expression `T`, where `lo` and `hi` are fixed values. |
| `ceil(T), floor(T)` | die kleines ganze Zahl größer, bzw. die größte ganze Zahl kleiner als Wert von T |
| `ceil(T), floor(T)` | Round down or up the evaluated expression. |
| `function_(F, T1, T2, T3, ...)` | Die Anwendung eines Funktors F auf die Auswertung der Terme T1,T2,... | If `T` compares less than `lo`, returns `lo`; otherwise if `hi` compares less than `T`, returns `hi`; otherwise returns `T`
| `function_(F, T1, T2, T3, ...)` | Apply a functor to the evaluated expressions `T1,T2,...` |
Ein Funktor ist dabei eine Klasse mit folgender Struktur:
A functor is a class with the following structure:
```c++
```c++
structFunctor:publicFunctorBase
structFunctor:publicFunctorBase
{
{
...
@@ -58,29 +58,30 @@ struct Functor : public FunctorBase
...
@@ -58,29 +58,30 @@ struct Functor : public FunctorBase
or any valid function object in c++. When it is derived from `FunctorBase` one can specify an polynomial degree of the functor, relative to
Die Argumente, die an die Funktion `getDegree` übergeben werden sind die Polynomgrade der Terme:
the polynomial degrees of the arguments passed to the functor, i.e. the polynomial degrees of the passed expressions.
The `getDegree()` functor is then evaluated in the following form:
```c++
```c++
getDegree(T1.getDegree(),T2.getDegree(),...)
getDegree(T1.getDegree(),T2.getDegree(),...)
```
```
### Vektor-/Matrix-Ausdrücke
### Vektor-/Matrix-Expressions
Für vektor- bzw. matrixwertige Term, wie z.B. `gradientOf(DV)` gibt es eine Reihe von Ausdrücken / Operationen, die im Folgenden aufgelistet sind. Dabei bezeichnet `V` eine vektorwerte Expression und `M` eine matrixwertige Expressions.
For vector- and matrix-valued expressions, like, e.g., `gradientOf(DV)` one can apply functions that act on the vectors/matrices on
evaluation. In the following list, the notation `V` refers to a vector expressions and `M` to a matrix expression:
