Calculator

A simple calculator

Features

• Operations + - * / % ^
• Parentheses support
• Scientific number notation support
• Complex numbers support via j or i infix notation: 1j1 or 1i1
• Underscores can be used in numbers: 1_000_000
• Built-in constants m.pi, m.phi, m.e, b.true and b.false
• Locally unchangeable constants with a c. prefix: c.x
• Built-in functions sin cos tan asin acos atan cot sec csc coth sech csch acot asec acsc acoth asech acsch sinc cosc sincn coscn log exp sqrt abs trunc round floor ceil hypot pow log1p expm1 etc.
• Built-in integral functions gcd lcm mod div quot rem
• Ability to print rational numbers using function prat
• If conditions with a following syntax if(<cond_expression>,<expression1>,<expression2>)
• Loops using the loop function: loop(<cond_expression>, <expression>) or loop(<init_expression>, <cond_expression>, <expression>)
• Lazy evaluation of function arguments
• Comparison functions lt gt le ge eq ne cmp
• Comparison operators < > <= >= == !=
• Bitwise operators & | << >> ~ and functions xor not
• pop and comp functions for the calculation of pop count and complement respectively
• Optimizations like log(exp(x)) = x
• Automatic detection of division operation in atan argument and log function with 2 arguments log(<base>, <arg>)
• Variable _ stores the result of the previous calculation
• A variable can be defined using syntax <name> = <expression>
• A user-defined function can be defined using syntax <name>(<arg1>[,<arg2>[,<arg3>...]]) = <expression>
• A user-defined operator can be defined using syntax <name>(<precedence>,<associativity>) = <expression>
• The available symbols for operators are +-/*%^$!~&|=><:
• Arguments x and y are the default for user-defined operators
• The precedence of the user-defined operator can be any between 1 and 14
• Associativity of the user-defined operator is left if associativity equals 0 or right otherwise
• A function or operator can take other functions as arguments
• An operator alias can be defined using syntax <alias_operator> = <operator>
• Outer variables' values are captured inside user-defined functions
• A signature of the user-defined function consists of a name and arity so f/0 and f/1 are different functions
• The web interface can be used by running with -fW of --frontend W command line flag. The web interface is available on 3000 port
• Autocompletion of variables, functions and operators is available on the Tab key
• History is available on the Up and Down keys
• Derivative of a function can be symbolically calculated using syntax df(<function_expression>, <variable name>)
• Derivative can be bound to a function alias using syntax <new_function_name>(<varname>) = df(<function_expression>, <varname>)
• Numerical integration using adaptive quadrature is available through the function int with the following parameters: int(<function>, <start>, <finish>, <eps>)
• Random numbers between 0 and 1 via m.r constant
• "Strings" delimited by ". Can't do anything with those strings though. Function str(<expression>) displays a value as a string
• fmt(<format_string>, <args...>) function for C-style formatting. Use %s for a string and %f for a number
• Local assignment operators := and ::= for creating binding visible in the same line only
• Colon operator : for sequential computing of expressions
• Pipe operator |> for piping the computation: value |> f1 |> f2 |> f3
• Functions can be used as infix operators by surrounding with backticks "`"
• Aliases top-level operators += -= *= /= %= ^= |= &= which unsugar into: x <op>= value -> x = x <op> value