Simple Scientific calculator for ADE, the UNIX environment for the AMIGA A1200(HD). Post: 303037057

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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

07-22-2019

Registered User

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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LEARN ABOUT SUNOS

gcalctool

gnome-calculator(1)						   User Commands					       gnome-calculator(1)

NAME

       gnome-calculator, gcalctool - perform basic, financial, and scientific calculations

SYNOPSIS

       gnome-calculator [-a accuracy] [-D] [-E] [gnome-std-options]

DESCRIPTION

       The Calculator application is multifunctional and can handle different types of mathematical approaches.

       Calculator has the following modes:

       Basic Mode	       Provides standard calculator functions. You can store numbers in 10 different memory registers, and easily retrieve
			       and replace the numbers in the memory registers. Basic Mode is the default mode. You can use all of the Basic  Mode
			       functions in each of the other modes.

       Financial Mode	       Provides several complex financial functions.

       Scientific Mode	       Provides  many additional mathematical functions, including trigonometric and logical functions. You can also store
			       your own functions and constants, when you use Scientific Mode.

EXTENDED DESCRIPTION

       On startup, Calculator uses the following configuration resources stored in a GConf database.

       Resource:      /schemes/apps/gcalctool/accuracy
       Values:	      Accuracy value
       Description:   The number  of  digits  displayed  after	the
		      numeric  point.  This  value  must  be in the
		      range 0 to 9.

       Resource:      /schemes/apps/gcalctool/base
       Values:	      Numeric Base
       Description:   The initial numeric base.  Valid	values	are
		      "BIN"  (binary),	"OCT" (octal), "DEC" (deci-
		      mal), and "HEX" (hexadecimal).

       Resource:      /schemes/apps/gcalctool/display
       Values:	      Display mode
       Description:   The initial display mode.  Valid	values	are
		      "ENG" (engineering), "FIX" (fixed-point), and
		      SCI" (scientific).

       Resource:      /schemes/apps/gcalctool/mode
       Values:	      Mode
       Description:   The initial calculator mode. Valid values are
		      "BASIC", "FINANCIAL", and "SCIENTIFIC".

       Resource:      /schemes/apps/gcalctool/showzeroes
       Values:	      true, false (true)
       Description:   Whether  to  show  trailing  zeroes after the
		      numeric point in the display value.

       Resource:      /schemes/apps/gcalctool/showregisters
       Values:	      true, false (true)
       Description:   Whether to display the memory register window
		      when Calculator starts.

       Resource:      /schemes/apps/gcalctool/trigtype
       Values:	      Trig. type
       Description:   The  initial trigonometric type. Valid values
		      are  "DEG"  (degrees),  "GRAD"  (grads),	and
		      "RAD" (radians).

       Any constants or functions that the user defines are also stored in the GConf database.

OPTIONS

       The following options are supported:

       -a accuracy	       Specifies the number of digits displayed after the numeric point. This value must be in the range 0 to 9.

       -D		       Enable debug mode.

       -E		       Enable debug mode in the multiple-precision arithmetic package.

       gnome-std-options       Standard options available for use with most GNOME applications.  See gnome-std-options(5) for more information.

EXAMPLES

       Example 1: Launching Calculator

       example% gnome-calculator

EXIT STATUS

       The following exit values are returned:

       0	Application exited successfully

       >0	Application exited with failure

FILES

       The following files are used by this application:

       /usr/bin/gnome-calculator       Executable for Calculator.

       ~/.gcalctoolrc		       User-specific resources for customizing the appearance and color of Calculator.

ATTRIBUTES

       See attributes(5) for descriptions of the following attributes:

       +-----------------------------+-----------------------------+
       |      ATTRIBUTE TYPE	     |	    ATTRIBUTE VALUE	   |
       +-----------------------------+-----------------------------+
       |Availability		     |SUNWgnome-calculator	   |
       +-----------------------------+-----------------------------+
       |Interface stability	     |External			   |
       +-----------------------------+-----------------------------+

SEE ALSO

       Calculator Manual

       Latest version of the GNOME Desktop User Guide for your platform.

       gnome-std-options(5)

NOTES

       Written by Glynn Foster and Rich Burridge, Sun Microsystems  Inc., 2003.

SunOS 5.10							    1 Oct 2003						       gnome-calculator(1)