The AACode®
SuperTable®
Add-in gives
you incredible number crunching power!
You don't need to understand how
AACode SuperTable® functions and macros work to use them. You are
almost always furnished with only a few dots on a graph, several discrete values
in a table, or a limited amount of measured information. The question is, how
can you predict mathematical values at points other that those you already know?
AACode SuperTable® functions and macros provide
powerful, convenient, and
easy to use solutions inside your Microsoft Excel spreadsheets!
The
AACode SuperTable® functions; VInterp, HInterp, VSpline, HSpline, VPolyfit
and HPolyfit all work the same way as the as the standard Excel
functions Vlookup and Hlookup. All you need to specify is the data value
to lookup, the range the data can be found in, and the number of offset rows or columns
from the first line of the table, to the row or column where the desired data
values are. The first row or column of data has to be in
ascending order and the value to be looked up has to be in the range of your
data. Within these limits, AACode SuperTable® functions instantly return the
interpolated answer you are looking for. They can be nested with other
Excel functions, inside formulae, and copied at will.
Once you realize
just how useful, easy to use, and powerful AACode SuperTable® functions are;
you won't be able to write an Excel Spreadsheet without them!
With the macros VSplineCoef, HSplineCoef,
VPolyfitCoef, and HPolyfitCoef you can generate an equation that you can nest in
your Excel Spreadsheets and completely eliminate the need for the original
lookup table! With the macro VRegressCoef and HRegressCoef you can test
your data to determine the most accurate AACode SuperTable® function or macro to use. If you work with
electrical circuits, finite element analysis and similar matrix based
mathematical problems you can use the AACode SuperTable® macro SimLinEqu to automatically calculate the
solution for up to fifty simultaneous linear equations with fifty unknowns using
Matrix Mathematics.
The AACode SuperTable® Add-in functions VInterp, HInterp, VSpline, HSpline,
VPolyfit and HPolyfit correct a fundamental problem with the standard Excel
functions Vlookup and Hlookup. Vlookup and Hlookup do not
correctly lookup intermediate values in a data set. Instead, they use the
nearest value entered in the data table as the lookup value. Using Vlookup
or Hlookup you might find unacceptable errors in your calculations, especially
if the data you have is widely spaced or non-linear. AACode SuperTable® corrects this problem with accurate and automatic
mathematical interpolation. With the AACode SuperTable® Add-in functions VInterp, HInterp, VSpline, HSpline,
VPolyfit and HPolyfit you instantly receive the intermediate value answers you
want.
AACode SuperTable® Functions Include:
VInterp
and HInterp automatically perform linear interpolation on your data.
They
are ideal for use with closely spaced or basically linear data sets.
Examples: Generation of intermediate data
to fill in cells in lookup tables or stepwise computations, interpolation of material properties tables,
distribution of costs to multiple accounts, and interpolation of tax or
labor rate tables.
VSpline and
HSpline automatically perform spline interpolation using adjacent cubic
polynomials to smoothly connect one point to the next, giving better
interpolations for curved functions. Because of the number of calculations involved,
they are relatively slow for large data sets but are great when linear
interpolation is not accurate enough.
Examples:
Interpolation of position data of a body subject to random forces (a flight
model) or material properties that vary non-linearly and filling in gaps in sampled process
or sensor data.
The
Macros VSplineCoef and HSplineCoef and their corresponding
functions VLSpline and HLSpline perform the same calculation that
VSpline and HSpline do, they just work faster. The computationally
intensive process of generating the spline polynomial coefficients is done only once
by running the
Macros VSplineCoef or HSplineCoef on your data set. Because
the functions VLSpline and HLSpline work faster, they are better suited
to applications where calculation time is limited.
Examples:
Rapid interpolation of large data tables, on line process control,
interpretation of data acquisition information, and sensor output
linearization.
VPolyfit and
HPolyfit automatically calculate the best fit polynomial of
the order you specify for the data set you select. The result is a an
algorithm that represents the functional relationship of the data, but does not necessarily pass through
each point.
Examples:
Analysis of measured process values, prediction
of physical values from measured table information, computational geometry, and precision fitting of
experimental data.
The
Macros VPolyfitCoef and HPolyfitCoef perform the same
calculation that VPolyfit and HPolyfit do except they return a formula that can be
pasted on any Excel spreadsheet. You can condense a huge lookup table into a
single algorithm!
Examples:
Reduction of physical property tables for use in process control correction, Inbetween animation frames, key frame animation, on-line process measurement, display
of process values, geometric transformation, formula derivation from raw data,
process control, sensor characterization.
The
Macros VRegressCoef and HRegressCoef automatically calculate
the Linear, Exponential, Power, and
Logarithmic regressions and their respective Coefficients of Determination.
Each regression can be run separately or all at once. The equations
generated can be cut and
pasted into any Excel spreadsheet. If the data follows one of the standard
regressions, the macro returns the simplest and fastest running algorithm.
Examples:
Optimum fitting of
data sets and formula derivation from raw data.
The
Macro SimLinEqu automatically calculates the solution for up to fifty
simultaneous linear equations with fifty unknowns using Matrix Mathematics. If the
equations have no unique solution, the macro outputs "indeterminate" in place of the values of
the unknowns. The
Macro SimLinEquCondNum is the same as SimLinEqu except it writes
an additional table that can be used to determine how sensitive the
results are to small changes in the coefficients.
Example:
Electronic circuit design, finite element analysis, heat transfer, structural calculations and algebraic mathematics.
The
AACode SuperTable® Add-in will become a must-have addition to
Microsoft Excel once you have a
chance to use it on your tables and data. It allows you to quickly analyze and interpret
tables of data, find trends in accounting
information, reduce scientific information to algorithms, project future sales,
discover relationships in economic indexes, and lookup engineering properties
automatically. You will find yourself using formulas and making
calculations you previously considered impractical. AACode®
functions
work as easily as standard Excel functions like HLookup and
VLookup. On numerical data they are simply more powerful. AACode SuperTable®
MACROS
are easy to use. They are very similar to the Add-ins included by
Microsoft as part of Excel. We invite you to download a free copy of our
AACode SuperTable® Add-in for evaluation. You won't be
disappointed.
Some useful links that explain Interpolation on the
Web are:
Some useful references on standard functions in
Excel are:
