In cases where it’s necessary to interpolate a continuous value from a list of tabulated x/y values, Magnolia provides the TABLE statement:

  • The TABLE statement allows tabular 1, 2, or 3-dimensional data to be linearly interpolated based on a supplied value of an independent variable (or variables).  The tabular independent and dependent data lists are supplied using array or matrix CONSTANTs.
  • The TABLE statement essentially gives a name to the table for subsequent lookups, and assigned two or more CONSTANT arrays to the table name.
  • Lookups (interpolations) of table values are performed by using the TABLE name as if it were a function call, supplying any required independent values as arguments.
  • The CONSTANT arrays can be treated as any other constant values in CSL; that is, their values may be adjusted prior to runtime without need for recompilation of the model code.

model TableExample


    ! The data which is to be interpolated via a TABLE statement
    ! is defined in 2 or more arrays

    ! Dimension the arrays
    dimension ageData[10], bwData[10]

    ! Populate the arrays with data
    constant ageData = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
    constant bwData  = 0.1, 0.13, 0.17, 2, 3, 5, 8, 11, 15, 20

    ! Define the table.  First arg after the equal sign is the ind var data
    table BodyWeightForAge = ageData, bwData

    ! This is where table lookups (interpolation) is done
    bw = BodyWeightForAge(t)

    constant tstop = 10.0
    termt(t >= tstop, 'Stopped on time limit')

end ! derivative

end ! program