kalk - A flexible calculator that supports variables and functions defined by th...

A command line calculator that supports math-like syntax with user-defined variables, functions, derivation, integration, and complex numbers.

Features

• Operators: +, -, *, /, !, %
• Groups: (), ⌈⌉, ⌋⌊
• Pre-defined functions and constants
• User-defined functions and variables
• Derivation (prime notation) and integration (eg. integral(a, b, x dx)
  The value of an integral is estimated using Simpson's 3/8 rule,
  while derivatives are estimated using the symmetric difference quotinent.
• Complex numbers
• Understands fairly ambiguous syntax. Eg. 2sinx + 2xy
• Syntax highlighting
• Completion for special symbols on tab
• Sum function
• Load a file including predefined functions and constants

Usage

All the calculator features and how they're used.

Operators

• +, -, *, /
• ! Factorial, eg. 5! gives 120
• % Percent, eg. 5% gives 0.05, 10 + 50% gives 15
• % Modulus (remainder), eg. 23 % 3 gives 2

Completion for special symbols

You can type special symbols (such as √) by typing the normal function or constant name and pressing tab.

• sqrt becomes √
• deg becomes °
• pi becomes π
• sum becomes Σ()
• integrate becomes ∫()
• tau becomes τ
• phi becomes ϕ
• floor becomes ⌊⌋
• ceil becomes ⌈⌉
• gamma becomes Γ
• ( becomes ()

Variables

Variables are defined with the following syntax: name = value

Examples: x = 3/4

Functions

Functions are defined with the following syntax: name(param1, param2, etc.) = value

Examples: f(x) = 2x+3 A(x, y) = (xy)/2

They are used like this: name(arg1, arg2, etc.)

Examples: f(3) + 3 A(2, 3)

Derivation can be done like this: name'(arg1)

Examples: f'(3) + 3 sin'(pi)

Predefined functions

• sin, cos, tan, cot, cosec, sec
• sinh, cosh, tanh, coth, cosech, sech
• asin, acos, atan, acot, acosec, asec
• asinh, acosh, atanh, acoth, acosech, asech
• abs, ceil or ⌈⌉, floor or ⌊⌋, frac, round, trunc
• sqrt or √, cbrt, exp, log, ln, arg, Re, Im
• gamma or Γ
• asinh, acosh, atanh, acoth, acosech, asech
• min, max, hypot
• log Eg. log(1000, 10) is the same as log10(1000)
• root Eg. root(16, 3) is the same as 3√16
• integrate Eg. integrate(0, pi, sin(x) dx) is the same as
• sum Eg. sum(1, 4, 2n) is the same as

Constants