mirror of
https://github.com/PaddiM8/kalker.git
synced 2024-12-14 18:40:50 +01:00
72 lines
2.4 KiB
Plaintext
72 lines
2.4 KiB
Plaintext
Overview of features
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Operators: +, -, *, /, !, %
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Groups: (), ⌈⌉, ⌋⌊
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Pre-defined functions and constants
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User-defined functions and variables
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User-defined units (experimental and limited)
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Understands fairly ambiguous syntax. Eg. 2sinx + 2xy
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Syntax highlighting
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Completion for special symbols on tab
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Sum functions
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Operators
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+, -, *, /
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! Factorial, eg. 5! gives 120
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% Percent, eg. 5% gives 0.05, 10 + 50% gives 15
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% Modulus (remainder), eg. 23 % 3 gives 2
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Completion for special symbols
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You can type special symbols (such as √) by typing the normal function or constant name and pressing tab.
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sqrt becomes √
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deg becomes °
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pi becomes π
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sum becomes Σ()
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tau becomes τ
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phi becomes ϕ
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floor becomes ⌊⌋
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ceil becomes ⌈⌉
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gamma becomes Γ
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( becomes ()
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Variables
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Variables are defined with the following syntax: name = value
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Example: x = 3/4
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Functions
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Functions are defined with the following syntax: name(param1, param2, etc.) = value
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Examples: f(x) = 2x+3; A(x, y) = (xy)/2
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They are used like this: name(arg1, arg2, etc.)
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Example: f(3) + 3 A(2, 3)
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Predefined functions
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sin, cos, tan, cot, csc, sec
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sinh, cosh, tanh, coth, csch, sech
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asin, acos, atan, acot, acsc, asec
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asinh, acosh, atanh, acoth, acsch, asech
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abs, ceil or ⌈⌉, floor or ⌊⌋, frac, round, trunc
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sqrt or √, cbrt, exp, log, ln
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gamma or Γ
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asinh, acosh, atanh, acoth, acsch, asech
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min, max, hyp
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log Eg. log(1000, 10) is the same as log10(1000)
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root Eg. root(16, 3) is the same as 3√16
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sum Eg. sum(1, 4, 2n), example below
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Sum function
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The sum function lets you sum an expression with an incrementing variable.
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It takes three arguments: start value, end value, and expression.
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If you press tab after typing out "sum", it will be replaced with a sigma symbol.
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The expression is what will be summed, and will be able to use the "n" variable,
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which represents the current value between the start value and the end value.
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The value of "n" increments.
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Example: sum(1, 4, 2n) will be the same as 2*1 + 2*2 + 2*3 + 2*4 = 20
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This can for example be used to calculate e: Σ(0, 10000, 1/n!) = 2.7182818284590455
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More precision can be gotten by changing the "--precision" flag. Run `kalker --help` for more info.
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Constants
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pi or π = 3.14159265
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e = 2.71828182
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tau or τ = 6.2831853
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phi or ϕ = 1.61803398
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