TABLEM2

Format

Example

Definitions

Comments

1. $xi$ must be in either ascending or descending order, but not both.
2. Discontinuities may be specified between any two points except the two starting points or two end points. For example, in Figure 1, discontinuities are allowed only between points $x2$ through $x7$ . Also, if $y$ is evaluated at a discontinuity, then the average value of $y$ is used. In Figure 1, the value of $y$ at $x=x3$ is $y=\left(y3+y4\right)/2$ .
3. At least one continuation entry must be specified.
4. The end of the table is indicated by the existence of ENDT in either of the two fields following the last entry. An error is detected if any continuations follow the entry containing the end-of-table flag ENDT.
5. For FLAT=0 (default), TABLEM2 uses the algorithm:(1)
   $$y=z\hspace{0.17em}[yT(x-X\mathit{1})]$$
   Where,

   $x$

   Input to the table

   $y$

   Is returned

   $z$

   Is supplied from the MATi entry

   The table look-up is performed using linear interpolation within the table and linear extrapolation outside the table using the two start or end points (Figure 1). No warning messages are issued if table data is input incorrectly.

   
   
   Figure 1. Example of Table Extrapolation and Discontinuity

   For FLAT=1, the same algorithm as FLAT=0 is used, except that values outside the range are not extrapolated. The corresponding start or end point y-values are used for all y-values outside the range.

6. This card is represented as a load collector in HyperMesh.