PartiallyEvaluateInterpolationPolynomial partially evaluates a multidimensional, scalar interpolation polynomial.
That means that values are inserted for some of the variables and the result is a polynomial of the remaining variables.
Partially evaluating a polynomial certainly reduces the number of variables. Since, by convention, the variables are always numbered consecutively and start with 0, the remaining variables (after the evaluation) are likely to change their numbers.
However, their order is never changed. That is, in the above mentioned example, if the polynomial has dimension 7, the remaining variables (which are 0, 1, 4, and 6) are renumbered to be 0, 1, 2, and 3 (in this order).
List of Variables
Sets a comma-separated list of variable numbers with respect to which the polynomial has to be evaluated.
The numbering starts with 0. Do not use the same number several times.
List of Values
Sets a comma-separated list of values that shall be inserted into the polynomial.
The way these values correspond to the variable numbers depends on the field
Values for Selected Variables Only
Defines the evaluation mode and thus how the fields
List of Values and
List of Variables are interpreted.
|Values for Selected Variables Only
||Values for Selected Variables Only
||In this case, you should supply the same number of entries to both lists. The values and variables correspond to each other by the order in which they are given. E.g., if you say 3,5,2 for the
List of Variables and 33.0,55.7,2.345 for the
List of Values, then 2.345 is inserted for variable number 2; 33.0 is inserted for variable number 3, and 55.7 is inserted for variable number 5. Changing the order of both lists in the same way will not alter the result.
|Values for All Variables
||Values for All Variables
||In this case, you should supply as many entries to
List of Values as the dimension of the polynomial indicates. The first value corresponds to the first variable and so on, no matter which variables actually occur in the
List of Variables To get the same result as above, you could e.g. enter 3,5,2 as
List of Variables and 0,9999,2.345,33.0,-42,55.7,2000 as List of Values. The values 0, 9999, -42, and 2000 will in this case be ignored. Changing the order of the
List of Variables will not alter the result, but changing the order of the
List of Values will.
|Evalulate Non-Selected Variables
||Evalulate Non-Selected Variables
||This is very much like Values for All Variables except that you are supposed to enter the numbers of those variables with respect to which you want the polynomial to be not evaluated. To get the same result as above, you could e.g. enter 6,1,0,4 as
List of Variables (if the dimension of your polynomial is 7) and 0,9999,2.345,33.0,-42,55.7,2000 as
List of Values The values 0, 9999, -42, and 2000 will be ignored. Changing the order of the
List of Variables not alter the result, but changing the order of the
List of Values will.
If checked, the module computes anew on any parameter or input change.
If pressed, the module computes anew.