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Top Forums Shell Programming and Scripting Simple Scientific calculator for ADE, the UNIX environment for the AMIGA A1200(HD). Post 303037057 by wisecracker on Monday 22nd of July 2019 12:33:42 PM
Old 07-22-2019
A very practical use of scicalc and this will be the last upload...
I am creating an audio function generator and wanted to use ASCII only for all of the waveforms so that a simple arbitrary waveform could be created using a text editor, and all other waveforms can be edited too.
Well this is not fast but generates a sinewave in pure ASCII only. It is a practical use of 'scicalc'.
Code:
#!/bin/sh

# #!/usr/local/bin/dash
# text_sinewaves.sh

WAVEFORM=""

# 64 bytes per cycle:
# for ANGLE in $( seq 0.0 5.625 359.0 )
# 8 bytes per cycle:
for ANGLE in $( seq 0.0 45.0 359.0 )
do
    FLOAT=$( ~/Desktop/Code/Shell/scicalc "(((sin((${ANGLE}*pi)/180)+1)/2.0)*94)+32" )
    # Don't use awk's """int()""" function as it rounds down only, use """printf "%.0f" ...""" instead.
    WAVEFORM=${WAVEFORM}$( printf \\$( printf "%03o" $( printf "%.0f" "${FLOAT}" ) ) )
done
echo "${WAVEFORM}"
echo "Length = ${#WAVEFORM} bytes."

Results; editing for both for loops:
Code:
Last login: Mon Jul 22 16:18:46 on ttys000
AMIGA:amiga~> cd Desktop/Code/Shell
AMIGA:amiga~/Desktop/Code/Shell> ./text_sinewaves.sh
OTX]aeimpsvxz|}~~~}|zxvspmiea]XTOJFA=951.+(&$"!   !"$&(+.159=AFJ
Length = 64 bytes.
AMIGA:amiga~/Desktop/Code/Shell> ./text_sinewaves.sh
Op~pO. .
Length = 8 bytes.
AMIGA:amiga~/Desktop/Code/Shell> _

How does it work:
First things first, there are 95 normal printable ASCII characters from ASCII 32 decimal " ", and ASCII 126 decimal "~".
The _centreline_ character is ASCII 79 decimal "O", (not ZERO but capital O).
So we have three conditions to take care of, the minimum value must be no less than ASCII 32 " ", the centreline pseudo-DC ASCII 79 "O", (Direct Current level), and finally the maximum value must be no more ASCII 126 "~".

Now consider the expression "(((sin((${ANGLE}*pi)/180)+1)/2.0)*94)+32" ...
There is no need for any start and end parentheses as this is catered for inside 'scicalc'; it does not matter if you add them though.
As 'sin(x)' from 0 to 360 degrees goes from 0 to +1 to 0 to -1 and finally back to 0 again we have to remove the negative part so +1 is added to every calculated result.
This now moves the values to 1 to 2 to 1 to 0 and finally back to 1 again.
When that is done those values are divided by 2 to give the range 0.5 to 1 to 0.5 to 0 and finally back to 0.5.
0.5 is now the centreline, or DC, and this is now multiplied by the (number_of_printable_characters - 1).
We are not done yet; as this will go from 0.0 to 94.0 then the whole has to be shifted up so 0.0 becomes 32.0 and 94.0 becomes 126.0 so 32 must be finally added, and voila, using the script 8 or 64 byte ASCII single cycle pseudo-sinewave is created.
I hope this is lucid enough.
Note that 'printf "%.0f" ' is used to create the integer values, see the code...
(And also doing this manually would take ages.)
Enjoy...

Bazza.

Last edited by wisecracker; 07-22-2019 at 01:49 PM.. Reason: Code tags, adding spaces.
 

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