Matrix types with unit (#29 - #32)

29. Float matrix with unit

After the byte with value 29, the matrix types have a 32-bit int indicating the number of rows in the matrix that follows, followed by a 32-bit int indicating the number of columns. These integers are not preceded by a byte indicating it is an int. Then a one-byte unit type follows (see the table in Coding of units ) and a one-byte display type (see Display types for units). The internal storage of the values that are transmitted after that always use the SI (or standard) unit. Summarized, the coding is as follows (assuming big-endian encoding):

```|29|R|O|W|S|C|O|L|S|UT|DT|
|R|1|C|1|R|1|C|2| ... |R|1|C|n|
|R|2|C|1|R|2|C|2| ... |R|2|C|n|
...
|R|m|C|1|R|m|C|2| ... |R|m|C|n|
```

In the language sending or receiving a matrix, the rows are denoted by the first index, and the columns by the second index: matrix[row][col].

30. Double matrix with unit

After the byte with value 30, the matrix types have a 32-bit int indicating the number of rows in the matrix that follows, followed by a 32-bit int indicating the number of columns. These integers are not preceded by a byte indicating it is an int. Then a one-byte unit type follows (see the table in Coding of units ) and a one-byte display type (see Display types for units). The internal storage of the values that are transmitted after that always use the SI (or standard) unit. Summarized, the coding is as follows (assuming big-endian encoding):

```|30|R|O|W|S|C|O|L|S|UT|DT|
|R|1|C|1|.|.|.|.| |R|1|C|2|.|.|.|.| ... |R|1|C|n|.|.|.|.|
|R|2|C|1|.|.|.|.| |R|2|C|2|.|.|.|.| ... |R|2|C|n|.|.|.|.|
...
|R|m|C|1|.|.|.|.| |R|m|C|2|.|.|.|.| ... |R|m|C|n|.|.|.|.|
```

In the language sending or receiving a matrix, the rows are denoted by the outer index, and the columns by the inner index: matrix[row][col].

31. Float matrix with unique units per column

After the byte with value 31, the matrix types have a 32-bit int indicating the number of rows in the matrix that follows, followed by a 32-bit int indicating the number of columns. These integers are not preceded by a byte indicating it is an int. Then a one-byte unit type for column 1 follows (see the table above) and a one-byte display type for column 1 (see Appendix A). Then the unit type and display type for column 2, etc. The internal storage of the values that are transmitted after that always use the SI (or standard) unit. Summarized, the coding is as follows (assuming big-endian encoding):

```|31|R|O|W|S|C|O|L|S|
|UT1|DT1|UT2|DT2| ... |UTn|DTn|
|R|1|C|1|R|1|C|2| ... |R|1|C|n|
|R|2|C|1|R|2|C|2| ... |R|2|C|n|
...
|R|m|C|1|R|m|C|2| ... |R|m|C|n|
```

In the language sending or receiving a matrix, the rows are denoted by the first index, and the columns by the second index: matrix[row][col].

This data type is ideal for, for instance, sending a time series of values, where column1 indicates the time, and column 2 the value. Suppose that we have a time series of 4 values at t = {1, 2, 3, 4} hours and dimensionless values v = {20.0, 40.0, 50.0, 60.0}, then the coding is as follows:

``````|31| |0|0|0|4| |0|0|0|2|
|26|8| |0|0|
|0x3F|0x80|0x00|0x00| |0x41|0xA0|0x00|0x00|
|0x40|0x00|0x00|0x00| |0x42|0x20|0x00|0x00|
|0x40|0x00|0x40|0x00| |0x42|0x48|0x00|0x00|
|0x40|0x80|0x00|0x00| |0x42|0x70|0x00|0x00|``````

32. Double matrix with unique units per column

After the byte with value 32, the matrix types have a 32-bit int indicating the number of rows in the array that follows, followed by a 32-bit int indicating the number of columns. These integers are not preceded by a byte indicating it is an int. Then a one-byte unit type for column 1 follows (see the table above) and a one-byte display type for column 1 (see Appendix A). Then the unit type and display type for column 2, etc. The internal storage of the values that are transmitted after that always use the SI (or standard) unit. Summarized, the coding is as follows (assuming big-endian encoding):

``````|32| |R|O|W|S| |C|O|L|S|
|UT1|DT1| |UT2|DT2| ... |UTn|DTn|
|R|1|C|1|.|.|.|.| |R|1|C|2|.|.|.|.| ... |R|1|C|n|.|.|.|.|
|R|2|C|1|.|.|.|.| |R|2|C|2|.|.|.|.| ... |R|2|C|n|.|.|.|.|
...
|R|m|C|1|.|.|.|.| |R|m|C|2|.|.|.|.| ... |R|m|C|n|.|.|.|.|``````

In the language sending or receiving a matrix, the rows are denoted by the outer index, and the columns by the inner index: matrix[row][col].

This data type is ideal for, for instance, sending a time series of values, where column1 indicates the time, and column 2 the value. Suppose that we have a time series of 4 values at dimensionless years {2010, 2011, 2012, 2013} and costs of dollars per acre (#0x348) of {415.7, 423.4, 428.0, 435.1}, then the coding is as follows:

``````|32| |0|0|0|4| |0|0|0|2|
|0|0| |101|0x03|0x48|18|
|0x40|0x9F|0x68|0x00|0x00|0x00|0x00|0x00|
|0x40|0x79|0xFB|0x33|0x33|0x33|0x33|0x33|
|0x40|0x9F|0x6C|0x00|0x00|0x00|0x00|0x00|
|0x40|0x7A|0x76|0x66|0x66|0x66|0x66|0x66|
|0x40|0x9F|0x70|0x00|0x00|0x00|0x00|0x00|
|0x40|0x7A|0xC0|0x00|0x00|0x00|0x00|0x00|
|0x40|0x9F|0x74|0x00|0x00|0x00|0x00|0x00|
|0x40|0x7A|0x91|0x99|0x99|0x99|0x99|0x9A|``````