I completed my Forth program for generating gcode for etching aluminum
slide-rules. I can email it to anybody who wants it, and it is also available
on www.forth.org. It is pretty robust code and anybody with a little knowledge
of Forth can upgrade it to include custom scales. There are a lot of
applications-specific scales that people might want, but I only have the more
generally useful scales. Even if a person knows nothing of Forth, he can do
some cut-and-paste to rearrange the scales into whatever layout he wants. At
this time I have these slide-rules written:
two-sided basic model
two-sided electrical-engineer model (has hyperbolic trig functions)
one-side pocket model
round key-fob model (has LL scale tied to A scale for calculating compound
interest)
I am telling you Factor folks about this as most of you know some Forth. Also,
the most likely next step with this program will be to port it over to Factor
and give it a GUI so that people can construct slide-rules of their own design
and also simulate them on the computer. I've never written a GUI program
before, so this will be a pretty big step for me. Generating the gcode for
milling machines was the most important part, as that is necessary for building
physical slide-rules, but that part is done now.
These are the scales that I have at this time:
L-scale Common (base-10) logarithms.
D-scale The fundamental [1,10] scale.
DI-scale The D-scale inverted.
DF-scale The D-scale folded at pi.
DIF-scale The D-scale folded at pi and inverted.
R1-scale The lower square-root scale.
R2-scale The upper square-root scale.
K1-scale The lower cube-root scale.
K2-scale The middle cube-root scale.
K3-scale The upper cube-root scale.
A-scale The complete square-root scale.
K-scale The complete cube-root scale.
S-scale The sine scale in the range [5.7,90].
CS-scale The cosine scale in the range [0.0,84.3].
T-scale The tangent scale in the range [5.7,45].
T2-scale The tangent scale in the range [45,84.3].
AT-scale The tangent scale in the range [5.7,90] and tied to the A-scale.
ST-scale The sine/tangent scale in the range [0.57,5.7].
SH1-scale The hyperbolic sine in the range [0.1,0.88]
SH2-scale The hyperbolic sine in the range [0.88,3.0]
TH-scale The hyperbolic tangent in the range [0.1,3.0]
CH-scale The hyperbolic cosine in the range [0.0,3.0]
LL3-scale The log-log scale in the range [2.718,22026].
LL2-scale The log-log scale in the range [1.105,2.718].
LL1-scale The log-log scale in the range [1.010,1.105].
LL0-scale The log-log scale in the range [1.001,1.010].
LL-scale The log-log scale in the range [1.010,2.718] and tied to the A-scale.
LL0N-scale The log-log scale in the range [0.990,0.999].
LL1N-scale The log-log scale in the range [0.905,0.990].
LL2N-scale The log-log scale in the range [0.368,0.905].
LL3N-scale The log-log scale in the range [4.540e-5,0.368].
C-scale A synonym for D-SCALE.
CI-scale A synonym for DI-SCALE.
CF-scale A synonym for DF-SCALE.
CIF-scale A synonym for DIF-SCALE.
B-scale A synonym for A-SCALE.
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