Matrix element

Introduction: 0000 0000 0010 1111

For the description of the matrix element see section 9.13 on page .

The domain for the matrix element is "matrixElement" (see section 21.2.4 on page ).

After the introduction first follows one bit, that indicates whether a particular domain is used. If this bit is $0$ no domain number $DomainNr$ is given and the $DomainNr$ is set to 0 . Otherwise, if it is $1$, a natural number follows for the used domain $DomainNr$ . The number of bits for this number results from the largest number $max(i)$ for a domain for the matrix element and is $\lceil \log_2( max(i) ) \rceil$. The $DomainNr$ determines the domain of the element. It is the first "matrixElement" domain with a domain number equal or lower of the set (loaded) domain number $DomainNr$.

Then follow three natural numbers.

The first number indicates the number ($d$) of the dimensions / dimension variables.

The second number indicates the number ($i$) of the to set values per set. The bits for the first two numbers resulting from the first element / subdomain of the vector domain for the element.

The third number indicates the number ($k$) of the sets of values to be set. The bits for this number resulting from the second element / subdomain of the vector domain for the element.

Following the three count values are $d$ vectors (see section 21.3.1 on page ) for the areas respectively start and end values for the respective dimensions. In this, the first vector stands for the first dimension variable, the second vector for the second dimension variable, etc. . The domain for the vectors / sets is the third element / subdomain of the vector domain for the element.

After the dimension vectors follow $k$ vectors / sets (see section 21.3.1 on page ) with each $i$ values (respectively it follow $k * i$ values / vector elements in a row). The domain for the vectors / sets is the forth element / subdomain of the vector domain for the element.

At the end of the matrix element follows its subobject.