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- In contradistinction with the 'real' interpolators like DQUAD, SPLINT, LININT and DISINT, the LEASQ function allows points with the same X value and the points need not to be sorted in the 2D case. For multi-dimensional approximation a sorted matrix is required. See the example at the bottom of this paragraph in which power is interpolated in a matrix of power and propeller rotation rate on the basis of ship speed and propeller pitch setting.
The function returns the approximated value according to the selected fitting order. Extrapolation outside the x-range is performed according to the selected order of the curve for that dimension. The theoretical maximum order can be calculated using the following example relation:
Least_square_order=ROUND(SQRT(ORCA(TeLiTab_to_be_used#)),0)- Please note that by extrapolating you will always run the risk of unreliable results, even when you have detemined an order for a fit based on the amount of points (ORCA(TeLiTab_to_be_used#). Always try to determine a realistic order on forehand, for instance based on physics.
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