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Automatic UNITS conversion

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Automatic UNITS conversion

by Riccardo Meldolesi

 

06 Feb 2008 (Updated 06 Feb 2008)

Eliminate UNITS related errors in code, through automatic units conversion

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Eliminate UNITS related errors in code, through automatic units conversion

A UNIT class is defined to automatically perform units conversion into the MKS system (metre,kg,sec).

I aim to solve the problem of using, say, mm instead of m, or converting mm to inches.
This is also a problem during plotting, because of the need to keep track of the units
of what is being plotted.

For this reason I like to define all variables into the MKS system by writing:

diameter = 10.0 * mm;

This is an automatic conversion into MKS, while still allowing me to think in mm (or grams, N, inches ...)

If the value of mm is 1e-3, then the value of diameter is 1e-2, which, experessed in
metres is = 10 mm. (everything is fine)

From this point onward all the calculations that use 'diameter' can be done in the MKS,
avoiding any "order of magnitude error". The syntax above is also particularly useful in
input files where a lot of scalar parameters are defined. It provides a lot of
information at a glance.

When a variable needs to be displayed or plotted the following syntax can be used:

disp(diameterVector/mm)

or

plot(diameterVector/mm,lengthVector/mm)

Also it is possible to perform units conversions in functions or on the command line.
For example the following statement converts 10 mm into inches

>> 10 * mm/in
ans =
0.3937

all of this is not a my invention, being in use in at least another software. I adopted
it because for me it works very well.

This new submission allows to create composite units, like:

typing: kg/mm^3
will display: kg/(mm^3) = 1.000000e+009

in this case the class returned variable is 'COMPOSITEUNIT'

Other examples:
typing: kg*m/sec^2 / (kg/mm^3)
will display: kg*m/(sec^2)/(kg/(mm^3)) = 1.000000e-009

in this case the class returned variable is 'COMPOSITEUNIT'

  or:
              kg*m/sec^2
              kg*m/(sec^2) = 1.000000

INSTALLATION

To implement the syntax above I created a class called 'unit', which must be saved into
a directory called 'unitClasses'. The directory 'unitClasses' must be added to the
classpath.

The function 'unitClasses\@unit\private\getStructure.m' contains a comprehensive list of
units, which can be extended as suitable.

Then by calling the method 'update(unit)', a number of classes will be created, one for
each of the units defined in 'getStructure'.

You might then have to type:

'clear classes'
'rehash toolbox'

the updating can be done at any time a new unit is added to the function 'unitsList'.
from now on every time a syntax like 'diameter = 10.0 * mm;' is used a unit conversion
is made.

More info in the README.txt file

Your feedback is welcome

Acknowledgements

The author wishes to acknowledge the following in the creation of this submission:
UNITS conversion

MATLAB release MATLAB 7 (R14)
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chemistry Riccardo Meldolesi 22 Oct 2008 09:46:42
physics Riccardo Meldolesi 22 Oct 2008 09:46:42
unit conversion mks class inheritance Riccardo Meldolesi 22 Oct 2008 09:46:42

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