John's Online RPN Scientific Calculator, using Complex Math

A powerful, online, RPN Scientific Calculator, written in Javascript. It employs complex math, has numerous functions (80+), and a scrollable display/log window. This is an example of just how powerful the javascript language can be. The true test of a real calculator: Sqrt[-1]. If you get an imaginary answer, then you have a TRUE calculator. If it crashes, then toss it and go get a TRUE calculator... You can also write Advanced DAL (Dynamic/Direct Algebraic Logic) equations directly to the input window as well. There is a memory slot with an unlimited number of entries and the standard Store/Recall/Clear function. Since you can cut/copy/paste and select/drag from the scrollable log window, you can even use the log window as an effective memory. It has buttons for various constants, complete trigonometric functions, integer and modular math functions such as integer factorization and gcd, base conversion from 2 to 36, not just bin, oct, dec, & hex, etc. Input numbers from the mouse-click pad or from the keyboard. Also includes an NxN linear system solver and N-polynomial root finder.


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Linear System Equation Solver:

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Polynomial Root Solver:

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Complex Polynomial Root Solver:

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Logic Calculator:

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To use Scientific Calculator RPN (Reverse Polish Notation) button operators (Complex operation capable):
For unary operations (1 number req.), type the number into the input box and then click the function.
For binary operations (2 numbers req.) type the 1st number, click the [Enter] button, type the 2nd number, and then click the function.

For short-cut RPN operations (like HP calculator logic), you can use operators directly on the stack as well.
Unary operations replace the last stack value with its new value
Binary operations replace the last two stack values with its new value

Just play with the buttons, the log window will let you see how it works -- its pretty easy once you get the hang of it...

To use built-in javascript DAL (Dynamic/Direct Algebraic Logic) operations (Real operations only):
Write your numeric equation/formula directly into the input box and then press [Enter]
(you don't have to write the JS 'Math.' in front of the functions, but you can only use and receive real numbers):
ex. 2+5/3-abs(-8)*cos(PI)    you must input angles in radians when using this mode
Note: you must have the [kbd] checkbox OFF to use DAL

To input numbers, there are several options, all of which are effective:
(1) mouse-click on the virtual number pad above
(2) use copy-paste/select-drag from the log window to the input box
(3) just type in the numbers on your computer keyboard
(4) turn on the [kbd] checkbox to make the actual keyboard activate the (+,-,*,/,=,c) virtual keys in RPN mode

Input types:
real   255 or PI or -234.2235 or etc.
complex pair   (0,3)
complex add   0 +i 3
complex polar 3 /_ 90  or   3 /_ 1.5708 (set the angle mode 1st)
num-to-base   FF_b16   or   1001010_b2
list of real {2,3,4,5,3,4,2}

Javascript numbers:
octal integer �0###    0345 -> 229 decimal   -0345 -> -229 decimal
hexadecimal integer �0x###   0x345 -> 837 decimal   -0x345 -> -837 decimal

To page through the available functions:
Keep clicking the [Fncs] key

Warning:
Apparently, javascript only uses about 16 digits of precision, so take results of huge numbers with a grain of salt...

To use Javascript Math functions in input field:		===	To use Javascript operators in input field (listed in precedence order):
Math.abs(x)	Absolute value of x		( , )	Parentheses for grouping
Math.acos(x)	Arc cosine of x		~	Bitwise complement
Math.asin(x)	Arc sine of x		!	Logical complement
Math.atan(x)	Arc tangent of x		typeof	Return data type
Math.atan2(y,x)	Argument from +x axis		* , / , %	Multiply , Divide , Remainder
Math.ceil(x)	Ceiling of x		+ , -	Add , Subtract
Math.cos(x)	Cosine of x		+	Concatenate strings
Math.exp(x)	Natural exponent of x		<<	Integer shift left
Math.floor(x)	Floor of x		>>	Integer shift right, sign extension
Math.log(x)	Natural logarithm of x		>>>	Integer shift right, zero extension
Math.max(args...)	Max of list of values		< , <=	Less than , Less than or equal
Math.min(args...)	Min of list of values		> , >=	Greater than, Greater than or equal
Math.pow(x,y)	x to the y power		==	Test for equality
Math.random()	Random number (0..1)		!=	Test for inequaltiy
Math.round(x)	Round of x		===	Test for identity
Math.sin(x)	Sine of x		!==	Test for identity
Math.sqrt(x)	Square root of x		&	Integer bitwise AND
Math.tan(x)	Tangent of x		^	Integer bitwise XOR
			\|	Integer bitwise OR
Math.E	Natural exponent E		&&	Logical AND
Math.LN10	Natural logarithm of 10		\|\|	Logical OR
Math.LN2	Natural logarithm of 2		?:	Conditional operator "condition"?"if true":"if false"
Math.LOG10E	Base-10 log of E
Math.LOG2E	Base-2 log of E
Math.PI	Circle constant PI
Math.SQRT1_2	Square root of 1/2
Math.SQRT2	Square root of 2

Note: all built-in javascript trig functions use radians in the argument
Note: if anyone notices a bug in the calculator, please report it so that I can fix it

And, just an interesting bit of math trivia:
Addition is repeated incrementing ( c = a+b ); the 2 inverses are subtraction. ( a = c-b ) & ( b = c-a )
Multiplication is repeated addition ( c = a*b ); the 2 inverses are division. ( a = c/b ) & ( b = c/a )
Exponentiation is repeated multiplication ( c = a^b); it has 2 different inverses: the root ( a = Root_b[c] ) and the log ( b = Log_a[c])
Isn't this branching pretty cool, considering that mathematics has a tree-like structure? :-)

Contest: Who can tell me what is special about 0.20787957635076193?
Hint: it can be derived using a single simple "unit" number and one single operation from above.

If you have a comment about this site, or find a bug, or want more features added, or just want to say 'hi', please email John.

				Ph.D. Systems Complex RPN Scientific Calculator
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