Scientific Graph Calculator

Author Patrik Lundin
www.lundin.info

Description
All functions
Parameters
Known issues
License

Description

The GraphApplet 1.0 is a full featured Graphing Calculator with some rare features added.

It is recommended that you use Netscape 4.x or higher or IE 4.x or higher for this applet and
at least 800x600 resolution with more than 256 colors. Result in older browsers and with different
resolution or color depth may vary, some problems have been noticed in older browsers.

The GraphApplet has all the common operators and functions as expected from any scientific
calculator and combines it with function graphing capabilities.

The GraphApplet supports juxtaposition which means you can write your expressions just as you
would write them on a piece of paper, for example xcos(x) or 5x^3-6x

The GraphApplet has support for symbolic differentiation using the diff function.

To use the applet as a calculator click on the buttons or use the keyboard to form your expression
and then press enter or click the Eval button to evaluate.
Note that when you click on a function button it will fill in a left parenthesis, you will have to match it
with a right parenthesis either by clicking on the ) button or enter it with the keyboard.

To draw a function enter the function by clicking on the buttons or enter them with the keyboard
and then press the PlotF button, you can only draw function of type y=f(x) .
To zoom into an area, select an area with the mouse ( click, hold down and drag ) and release,
the area you selected will be zoomed in, to zoom out use the ZOut button.
To reset the bounds to the original x:[-10,10] y:[-10,10] click on the Reset button.

To clear the input field click the Clear button, to clear a individual drawed function double click on the
function name in the list to the right of the applet or click on the Cls button to clear the whole screen.

To enter something into memory first click the M-> button and click on either m1 or m2,
to clear the memory first click on MCls and then either m1 or m2

All Functions

Calculator Controls

Eval Evaluates an expression, the calculator first tries to evaluate the expression,
if it fails then it tries to draw the expression.

Clear Clears the input area.

PlotF Plots a function of type y=f(x)

ZOut Zooms out the current area with a factor of x2.
( to Zoom into an area, select the area with the mouse and release. )

Reset Reset the bounds to the original x:[-10,10] y:[-10,10]

Cls Clears the whole drawing area and all functions.
( to clear a individual function double click on the function in the list to the right of the applet. )

M-> Enters an expression or a value into memory, first click this button and then chose either m1 or m2

MCls Clears the memory, first click this button and then on either m1 or m2 to clear that memory.
( note that memory will be gone if you leave the page with the applet and then return at a later point. )

m1 Memory 1

m2 Memory 2

Operators and Functions

These operators can be entered either with the buttons on the calculator or through the keyboard.

sqrt sqrt of a value or expression.

sin sin of a value or expression.

cos cos of a value or expression.

tan tan of a value or expression.

atan atan of a value or expression.

acos acos of a value or expression.

asin asin of a value or expression.

acotan acotan of a value or expression.

exp exp of a value or expression.

ln ln of a value or expression.

10log The 10 logarithm of a value or expression.

fac The faculty of a value or expression.

diff Symbolically differentiates an expression of one variable.

pi The constant PI

euler The Euler constant, base for the natural logarithm.

+ Addition

- Subtraction.

* Multiplication.

/ Division.

^ "Power to" operator

These additional operators can be entered only through the keyboard.

sinh Hyperbolic sine

cosh Hyperbolic cosine

tanh Hyperbolic tangens

abs Absolute value of value or expression.

ceil Returns the smallest (closest to negative infinity) value that is not less than the argument and is equal to a mathematical integer.

floor Returns the largest (closest to positive infinity) value that is not greater than the
argument and is equal to a mathematical integer.

sfac Semifaculty of value or expression.

round Rounds the argument to the closest mathematical integer. Example: round( 3.4 ) = 3.0, round( 4.99 ) = 5.0 etc...

fpart Returns the decimalvalue of its argument

[base]log(...) Any logaritm. Example: 10log(10) = 1.0, exp(1)log(exp(1)) = 1.0

% Modulo

== Equal, returns 1.0 if it's arguments are equal or 0.0 othervise.

!= Not Equal, returns 1.0 if it's arguments are not equal or 0.0 othervise.

&& And, returns 1.0 if both arguments evaluates to 1.0, or 0.0 othervise.

|| Or, returns 1.0 if any of it's arguments evaluates to 1.0, or 0.0 othervise.

> Larger than, returns 1.0 if the value of the argument to the left is larger than the value of the argument to the right, or 0.0 othervise.

< Less than, returns 1.0 if the value of the argument to the left is less than the value of the argument to the right, or 0.0 othervise.

>= Larger than or equal to, returns 1.0 if the value of the argument to the left is larger
than or equal to the value of the argument to the right, or 0.0 othervise.

<= Less than or equal to, returns 1.0 if the value of the argument to the left is less than or equal to the value of the argument to the right, or 0.0 othervise.

! Not, returns 0.0 if it's argument evaluates to 1.0 and returns 1.0 if it's argument evaluates to anything other than 1.0

Parameters

All the applets colors and even the layout can be controlled with parameters to the applet.
A parameter is given by inserting a <param> tag in between the opening <applet> and
closing </applet> tags.

Example:

The name part of the parameter is one of the names described below and the value
is the value you specify for the parameter.

Color Parameters

appletbg      The applets background color, default EEEEFF
appletfg       The applets foreground color, default 000000
buttonbg     The buttons background color, default CCCCCC
buttonfg      The buttons foreground color, default 000000
textfieldbg The textfields background color, default FFFFFF
textfieldfg   The textfields foreground color, default 000000
coordbg      The coordinate systems background color, default 000000
coordfg       The coordinate systems foreground color, default FFFFFF
listbg          The function lists background color, default CCCCCC
listfg            The function lists foreground color, default 000000

Here is an example of how the applet may look if you change all the colors:

The parameters for this color scheme is :

Layout Parameters

The applet already has the prefered size, if you alter any of these
clipping may occur and the result being a useless applet.

You can experiment with these without any risk, just remove the parameters
if there is a problem and reload or restart your web browser.

Also note that the whole applets size is controlled by the width and height
attributes in the applet tag itself, if you change any of these parameters
you may need to change the whole applets size.

calcx
calcy
calcwidth
calcheight

The x, y startpoint and width, height for the calculator part of the applet.
Default 5,5,240,350

coordx
coordy
coordwidth
coordheight

The x, y startpoint and width, height for the coordinate system.
Default 250,5,350,350

listx
listy
listwidth
listheight

The x, y startpoint and width, height for the function list.
Default 601,5,50,350

Known Issues

* If you zoom in at a close range you will not see all the digits in the x and y bounds fields,
you can however place your mouse in the field and then press the -> arrow button on your keyboard.
Look out for these situations since they can be confusing, especially if the bounds is
a value like 1.23456789E-3 and all you see in the field is 1.2345..

* The recommended use of browser for this applet is Netscape 4.x and higher
or IE 4.x and higher, the applet will work in older browsers but the result
may vary. For example, in Netscape 3.x various refresh problems was discovered.

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Eval	Evaluates an expression, the calculator first tries to evaluate the expression, if it fails then it tries to draw the expression.
Clear	Clears the input area.
PlotF	Plots a function of type y=f(x)
ZOut	Zooms out the current area with a factor of x2. ( to Zoom into an area, select the area with the mouse and release. )
Reset	Reset the bounds to the original x:[-10,10] y:[-10,10]
Cls	Clears the whole drawing area and all functions. ( to clear a individual function double click on the function in the list to the right of the applet. )
M->	Enters an expression or a value into memory, first click this button and then chose either m1 or m2
MCls	Clears the memory, first click this button and then on either m1 or m2 to clear that memory. ( note that memory will be gone if you leave the page with the applet and then return at a later point. )
m1	Memory 1
m2	Memory 2

These operators can be entered either with the buttons on the calculator or through the keyboard.
sqrt	sqrt of a value or expression.
sin	sin of a value or expression.
cos	cos of a value or expression.
tan	tan of a value or expression.
atan	atan of a value or expression.
acos	acos of a value or expression.
asin	asin of a value or expression.
acotan	acotan of a value or expression.
exp	exp of a value or expression.
ln	ln of a value or expression.
10log	The 10 logarithm of a value or expression.
fac	The faculty of a value or expression.
diff	Symbolically differentiates an expression of one variable.
pi	The constant PI
euler	The Euler constant, base for the natural logarithm.
+	Addition
-	Subtraction.
*	Multiplication.
/	Division.
^	"Power to" operator

These additional operators can be entered only through the keyboard.
sinh	Hyperbolic sine
cosh	Hyperbolic cosine
tanh	Hyperbolic tangens
abs	Absolute value of value or expression.
ceil	Returns the smallest (closest to negative infinity) value that is not less than the argument and is equal to a mathematical integer.
floor	Returns the largest (closest to positive infinity) value that is not greater than the argument and is equal to a mathematical integer.
sfac	Semifaculty of value or expression.
round	Rounds the argument to the closest mathematical integer. Example: round( 3.4 ) = 3.0, round( 4.99 ) = 5.0 etc...
fpart	Returns the decimalvalue of its argument
[base]log(...)	Any logaritm. Example: 10log(10) = 1.0, exp(1)log(exp(1)) = 1.0
%	Modulo
==	Equal, returns 1.0 if it's arguments are equal or 0.0 othervise.
!=	Not Equal, returns 1.0 if it's arguments are not equal or 0.0 othervise.
&&	And, returns 1.0 if both arguments evaluates to 1.0, or 0.0 othervise.
\|\|	Or, returns 1.0 if any of it's arguments evaluates to 1.0, or 0.0 othervise.
>	Larger than, returns 1.0 if the value of the argument to the left is larger than the value of the argument to the right, or 0.0 othervise.
<	Less than, returns 1.0 if the value of the argument to the left is less than the value of the argument to the right, or 0.0 othervise.
>=	Larger than or equal to, returns 1.0 if the value of the argument to the left is larger than or equal to the value of the argument to the right, or 0.0 othervise.
<=	Less than or equal to, returns 1.0 if the value of the argument to the left is less than or equal to the value of the argument to the right, or 0.0 othervise.
!	Not, returns 0.0 if it's argument evaluates to 1.0 and returns 1.0 if it's argument evaluates to anything other than 1.0