ICAM Virtual Machine V19 - Kxcad.net

ICAM Virtual Machine ® Virtual Machine Reference, Model Customization
Simulation Macro Functions, Matrix Functions
4.4.5.6 Matrix Functions
$FMX Matrix creation
$FMXINV Matrix inversion
$FMXMULT Matrix multiplication
$FMXTRFP Point transformation by matrix
$FMXTRFV Vector transformation by matrix
$FMXTRSP Matrix transposition
Matrix functions work with sequences of length 12 that define the APT standard rotation and
translation components of a matrix. For example:
a1,a2,a3,a4
a5,a6,a7,a8,
a9,a10,a11,a12
Matrix functions can also work with square matrices of any dimension, defined as a series of
numbers that represent a matrix organized in row-column order. For example:
a1,a2,a3
a4,a5,a6
a7,a8,a9
Matrix functions that return a matrix, vector or point sequence, do so by returning a sequence
with the same length as that of the input matrix, vector or point sequence.
Matrices can be constructed using the $FSEQ function or the { } sequence operators. For
example, the following are equivalent:
M1=$FSEQ(1,0,0,0,0,1,0,0,0,0,1,0)
M1={1,0,0,0,0,1,0,0,0,0,1,0}
It is important to note that matrices are sequences and not arrays. Matrix functions do not work
with arrays.
The $FMX Function
result=$FMX(…)
Returns: Sequence
This function returns a 12-element matrix sequence as defined by the standard CAM-
POST post-processor command syntax listed below:
[INVERS, ]
�
0:
n
�
� �XYROT
� �
�[
x,
y [, z ]] �,
�YZROT
�,
angle �
�
� � � �
� �ZXROT
� �
�MSYS[,
LAST ]
�
�
�a1
,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a
12
�
�
�
�
�
�
�
�
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