Expression Evaluator

From MFSP Wiki

The MFSP Expression Evaluator will be a powerful and fast calculator written entirely in PHP. After finding the Google Calculator insufficient for some of my needs, I am creating the MFSP Expression Evaluator. It will be able to handle things like

<math>5^{1000}</math>

2^10000
10000!
2^(phi+pi^(e-log(2*sin((5*pi)/7))))
sqrt(f(10)^77)
(phi^101)/(phi^202 - (-1)^101)
phi^(z(pi))
666^666
sin(cos(tan(sec(csc(cot(x))))))

and maybe even

2^1000000

Several by-products of this project have already popped up: the Fibonacci Calculator, and the soon-to-come Factorial/Power Evaluator. The following are all the commands that the MFSP Expression Evaluator is/will be/hopefully be able to handle:

Current Features/Features in Development:

x + y      ---  Addition
x - y      ---  Subtraction
x * y      ---  Multiplication
x / y      ---  Division
x % y      ---  Modular Division
x!         ---  x Factorial
x$         ---  x Primorial
x ^ y      ---  Exponentiation (Including stuff like x^(1/pi))
p-> x <-   ---  Primality Test ("Is x prime?")
pf-> x <-  ---  Perfection Test ("Is x perfect?")
f(n)       ---  nth Fibonacci number (Up to f(50000))
l(n)       ---  nth Lucas number (Up to l(50000))
sqrt(x)    ---  Square Root
sin(x)     ---  Sine of x
cos(x)     ---  Cosine of x
tan(x)     ---  Tangent of x
sec(x)     ---  Secant of x
csc(x)     ---  Cosecant of x
cot(x)     ---  Cotangent of x  
sinh(x)    ---  Hyperbolic Sine of x
cosh(x)    ---  Hyperbolic Cosine of x
tanh(x)    ---  Hyperbolic Tangent of x
sech(x)    ---  Hyperbolic Secant of x
csch(x)    ---  Hyperbolic Cosecant of x
coth(x)    ---  Hyperbolic Cotangent of x  
pi         ---  The number pi, ~3.1415926...
e          ---  The number e, ~2.7182818...
phi        ---  The number phi, ~1.618033...
(x)        ---  Parentheses handling

Planned/Hopeful Features:

log[x](y)  ---  The log of y, base x. (log(y) is by default base 10)
ln(x)      ---  The natural logarithm of x
sci-> x <- ---  Display number in scientific notation
z(x)       ---  The Riemann Zeta function of x
i          ---  The square root of -1

A beta test of the Expression Evaluator should begin in less than a month. The limits of the calculator's most basic arithmetic operation should only start to occur somewhere around 10^300,000, and the calculator will display numbers in full unless you use the command 'sci-> x <-'. One will also be able to select a precision of within 10^-5,000 of the number's value (5,000 decimal places).