95,06,13,23,44
Javascript support the following math functions
[[
Math.E 2.718281828459045091 Euler's constant
Math.LN2 0.6931471805599452862 Natural log of 2
Math.LN10 2.302585092994045901 Natural log of 10
Math.LOG2E 1.442695040888963387 Log base-2 of E
Math.LOG10E 0.4342944819032518167 Log base-10 of E
Math.PI 3.141592653589793116  PI
Math.SQRT1_2 0.7071067811865475 Square root of 0.5
Math.SQRT2 1.414213562373095145 Square root of 2
Math.random() method takes no parameters
Math.abs(val) Absolute value of val
Math.acos(val) Arc cosine (in radians) of val
Math.asin(val) Arc sine (in radians) of val
Math.atan(val) Arc tangent (in radians) of val
Math.atan2(val1, val2) Angle of polar coordinates
Math.ceil(val) Next integer greater than or equal
Math.cos(val) Cosine of val
Math.exp(val) Euler's constant to the power of val
Math.floor(val) Next integer less than or equal to
Math.log(val) Natural logarithm (base e) of val
Math.max(val1, val2) The greater of val1 or val2
Math.min(val1, val2) The lesser of val1 or val2
Math.pow(val1, val2) Val1 to the val2 power
Math.random() Random number between 0 and 1
Math.round(val) N+1 when val >= n.5; otherwise N
Math.sin(val) Sine (in radians) of val
Math.sqrt(val) Square root of val
Math.tan(val) Tangent (in radians) of val
]]

for 
hyperbolic cosine, use
0.5*(Math.exp(x)+Math.exp(-x))

hyperbolic sine, use
0.5*(Math.exp(x)-Math.exp(-x))


Step function: stepf(a,b)
If a<b return 0 (close)
otherwise return 1 (open)
Any number multiply by 0 get 0
that is to close.
Any number multiply by 1 get itself
that is to open.
Above is to multiply stepf()
If add or subtract stepf() then it
is shift curve up/down.
One of a,b must be variable. If
both a and b are constant, then
stepf() has no meaning. 9507211227


Gamma function  gamma(t)
If t is an integer gamma(t) is (t-1)!
gamma(t) let factorial become
continuous.
gamma(t) is searched from Internet.
9507211232




2006-06-23-12-41 start
This program is received on 2006-06-12

2006-06-12-18-14
http://www.bigwebmaster.com/3051.html

2006-06-12-18-21
http://www.structura.info/XYGraph/XYGraph.zip

This program plot mathematics functions.
It plot better curves. After read the document
and source code. The curve definition is easy.
User can define parametric form equations. It 
is possible to plot whole circle.

Freeman receive this program and add several
sample curves definition. There are two type
button on top of the page. They are  
and  and 

"[Plot]1" mean when '1' is in box, press [Plot]

[Plot] button curves have two and more arrow
       and label. Need direct coding.
[Plot]1 is XYGraph original mathematics curve
       example. Its variable range depend upon
       constant coefficient. This curve has two
       label and six arrow.
[Plot]2 is Freeman first exercise curve. Its
       drawing board is larger, label/arrow
       command are correct. This curve has two
       label and two arrow.
[Plot]3 is a non-mathematics curve. This is a
       drawing which represent harmony. 
       Ancient China's understanding that the
       universe is composed with two type of
       elements: positive and negative. (0/1)
       when positive/negative work together
       they bring harmony to us. This drawing
       has six equation definitions.

Above is [Plot] button three curve/drawings,
       input-box method is not designed for
       it. Since input-box method allow only
       one label/one arrow.

Below is [Draw] button. It has 12 curve
      definitions.

[Draw] button use input-box method. curves
       can use only one arrow & one label
       and two equation definitions. 
       Since input form is limited.

Before click [Draw] button, first fill a
number (1 to 11) in the selection box.
Then click [Get] button. Data specified
in the selection box will auto fill into
places. You can modify data, then click 
[Draw].

[Draw]-default is a data pre-filled curve.
      Do not put any number in number
      selection box. Just click [Draw] at
      start up time. 
[Draw]-default is Hippopede curve. It is
      a peanut-like (with shell) curve.
      Inner two curve have square root of
      negative number. Program still able
      to skip 'NaN' and not cause error.

[Draw]1 to [Draw]10 are all documented at
      bottom of the drawing.

[Draw]51 is Drawing-at-large. Put any
      number other than 1 to 11 in the
      selection box you get [Draw]51
[Plot]3 is the same.

[SDraw] is Statistic Draw. 
      Like [Draw], [SDraw] let user control.
      ([Plot] button user has no control.)
      Unlike [Draw], [SDraw] read data from
      input box1 to box5. ([Draw] get data
      from math equation)

If user want to do better job, code the 
curve definition. Goto to [if(jobID==1)]
body. learn what to do.

An equation has variable which allow a
point move on the curve (or surface).

An equation has constant which specify a
path for which an on-line-point can move.

A constant can not be a variable.
A variable can not be a constant either.

A "variable-constant" is a constant.
For one given value of this constant get
one curve.
For second value of the same constant get
second curve.
Although two curves are different, not 
coincide. two curves belong to one family.
They have similar equation, just differ in
constant. In this case "variable-constant"
is a meaningful concept.

You can use this program
http://freeman2.com/graph03e.htm in MSIE 6.0.
Netscape 8.0 give error message 
"graphdiv is not defined"

If you like to keep the curve you plot.
Press and hold control-key, then press
'prt scr' key. Next open Paint.exe and
paste the screen picture to Paint. Select
the curve and copy or cut.

Freeman 2006-06-26-09-13



2006-06-28-19-16 start
First time Upload on 2006-06-26.
First version draw mathematics curves
but not draw statistic curves.

Statistic curve data is recorded by 
observation and no math function to 
describe it.

This version add three more input box
allow five statistic curve data be
drawn.

Known trouble is that if
line1 has 300 points
line2 has 100 points
First  time draw line1 no trouble
Second time draw line2 get trouble
First 100 points belong to line2 show up
from point 101 to point 300 also show up
but they are line1 tail!
[[
Do the reverse way, draw short line first,
draw long line second, no trouble.
]]

Freeman try to redefine
var MyLine1 = new XYLine();
for each new curve data, but useless.

Try to erase  MyLine1 (then define again)
free MyLine1.x;     //9506281650
free MyLine1.y;
free MyLine1.labels;
free MyLine1;
useless. 'free' is C language command.

Try to use array of MyLine1 object.
var SDLine = new Array(5); 
SDLine[0]=new XYLine();
.....
SDLine[4]=new XYLine();
useless

Then try if '\0' will cut off old data.
It does cut off. But only line1 show up.

There must be some method get around this
trouble. Freeman is programming outsider.
Today (2006-06-28) still do not know how
to solve it.

If you draw two curves to five curves.
put shortest data in box1, longest data
in box5, hopefully get what you want.

If you really want to solve this problem
please go ask expert at
http://www.structura.info/XYGraph/XYGraphDemo.htm

XYGraph.js : v2.3 by J. Gebelein,
Contact: info@Structura.info
2006-06-28-19-38 here

The statistic curve data can be a long
string like
[[
 1 2.31 2 2.56 3 3.27 4 2.85 5 3.41 6 3.68 7 3.92 .....
]]

can be paired data like
[[
 1 2.31
 2 2.56
 3 3.27
 4 2.85
 5 3.41
 6 3.68
 7 3.92
.....
]]

Program treat
 all  odd number as x-coordinate,  and
 all even number as y-coordinate.
(first, third, fifth ... number are x coord
 second, fourth, sixth ... are y coordinate)

Program read data, ignore ',', ignore ';'
and ignore newline. If data has error
(for example [0.1] mistake to [0,1])
then all following data mess up. 

If you want program rely upon ';' as
data separator (one error will not extend
to the following), you need to modify the
source code.
2006-06-28-19-53 here

goto source code at key string "9506282004"
add one '/' to let ';' as data separator.

goto source code at key string "9506282006"
add one '/' to let newline as data separator.

Before modify code, please make a back up copy.

Default ignore ';' and ignore newline will
let you see an exaggerated error curve.
(So you can correct data quickly)
2006-06-28-20-30 stop

Only [SDraw] button read statistic curve data

All parameter are still in [Input%] button.


2006-06-29-10-24 start
If you have paired data for x and y coordinate
then this program work OK.

If you have data for y coordinate only, this 
program can not work properly. You need to add
sequence number to each y data. Please goto 
next page

Add line number; Delete line end white; 
Fill ' ' at line end.
http://freeman2.com/jslnwln2.htm

Put y data in jslnwln2.htm>box1, 
click select next line
[Line number like   "   1"   regular style.]

then click [** RUN **] button,
goto jslnwln2.htm>box2 get data. Now data
added line number which is 
alternative-x-coordinate.
2006-06-29-10-31 stop



First time Upload 2006-06-26
Update 2006-06-30 add box4,5,6 allow statistic data curve.
Update 2006-07-01 correct at [9507012038] allow curve2
       line color/width/solid-dash be defined.
Update 2006-07-02 correct at [9507012325] allow graph
       ten examples re-appear. (9507012041 forget 'else')
Update 2006-07-09 add output for x,y coordinates ONLY.
       Older version output to t,x,y coordinates.9507091207
Update 2006-07-13 modify document (see "950713").

Update 2006-07-21 add [del ALL] button,
       add step function stepf() 
       add gamma function gamma() 9507211218
Update 2006-07-22 add sawtooth wave and allow
       user change number of terms. 9507220640



JavaScript program list
http://freeman2.com/jsindex2.htm

Great Circle page (JavaScript program)
http://freeman2.com/jscircle.htm

Small Circle page (JavaScript program)
http://freeman2.com/jscircl2.htm

You specify city Longitude/Latitude value.
Circle program output the circle equation
in spherical coordinate which pass the
cities you specified. Circle locus printed.