e80f19b423
Fix rotations (`degrees` and `turns` functions were broken because I used `Math.pi` instead of `Math.PI`...)
146 lines
3.8 KiB
Elm
146 lines
3.8 KiB
Elm
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module Prelude where
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import Native.Prelude as N
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radians : Float -> Float
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radians t = t
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degrees : Float -> Float
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degrees d = d * Math.PI / 180
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turns : Float -> Float
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turns r = 2 * Math.PI * r
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-- Integer division, remainder is discarded.
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div : Int -> Int -> Int
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-- Finds the remainder after dividing one number by another: 4 `rem` 3 == 1
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rem : Int -> Int -> Int
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-- Perform modular arithmetic: 7 `mod` 2 == 1
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mod : Int -> Int -> Int
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-- Basic functions of trigonometry.
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cos : Float -> Float
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sin : Float -> Float
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tan : Float -> Float
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acos : Float -> Float
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asin : Float -> Float
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atan : Float -> Float
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-- Returns the arctangent of the quotient of its arguments in radians.
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-- So `atan2 y x` computes the angle from the positive x-axis to the vector
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-- starting at the origin and ending at (x,y).
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atan2 : Float -> Float -> Float
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-- Take the square root of a number.
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sqrt : Number -> Number
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-- Take the absolute value of a number.
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abs : Number -> Number
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-- Calculate the logarithm of a number with a given base: `logBase 10 100 == 2`
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logBase : Number -> Number -> Number
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-- Given two numbers, returns the smaller (or greater respectively).
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min : Number -> Number -> Number
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max : Number -> Number -> Number
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-- Clamps a number within a given range, so `clamp 100 200 x` is 200 for
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-- x >= 200, 100 for x <= 100, and x for any 100 < x < 200
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clamp : Number -> Number -> Number -> Number
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-- An approximation of pi.
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pi : Float
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-- An approximation of e.
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e : Float
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-- Compare any two values for structural equality and inequality.
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-- Functions cannot be compared.
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(==) : a -> a -> Bool
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(/=) : a -> a -> Bool
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-- Compare any two comparable values. Comparable values include String, Char,
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-- Int, Float, Time, or a list or tuple containing comparable values.
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-- These are also the only values that work as Dictionary keys or Set members.
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(<) : a -> a -> Bool
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(>) : a -> a -> Bool
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(<=) : a -> a -> Bool
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(>=) : a -> a -> Bool
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-- The and operator. True if both inputs are True.
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(&&) : Bool -> Bool -> Bool
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-- The or operator. True if one or both inputs are True.
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(||) : Bool -> Bool -> Bool
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-- The exclusive-or operator. True if exactly one input is True.
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xor : Bool -> Bool -> Bool
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-- Negate a boolean value: (not True == False) and (not False == True)
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not : Bool -> Bool
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-- Equal to true. Useful as the last case of a multi-way-if.
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otherwise : Bool
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otherwise = True
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-- Conversions
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-- Round a number to the nearest integer.
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round : Float -> Int
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-- Truncate a decimal number, rounding towards zero.
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truncate : Float -> Int
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-- Floor function, rounding down.
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floor : Float -> Int
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-- Ceiling function, rounding up.
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ceiling : Float -> Int
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-- Convert an integer into a float.
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toFloat : Int -> Float
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-- Convert almost any value to its string representation.
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show : a -> String
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-- Read an integer from a string
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readInt : String -> Maybe Int
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-- Read a float from a string.
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readFloat : String -> Maybe Float
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-- Function Helpers
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-- Function composition: f . g == (\x -> f (g x))
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(.) : (b -> c) -> (a -> b) -> (a -> c)
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-- Function application `f $ x == f x`. This function is useful for avoiding
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-- parenthesis. Consider the following code to create a text element:
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-- text (monospace (toText "code"))
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-- This can also be written as:
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-- text . monospace $ toText "code"
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($) : (a -> b) -> a -> b
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-- Given a value, returns exactly the same value.
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id : a -> a
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-- Given a 2-tuple, returns the first value.
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fst : (a,b) -> a
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-- Given a 2-tuple, returns the second value.
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snd : (a,b) -> b
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-- Flips the order of the first two arguments to a function.
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flip : (a -> b -> c) -> (b -> a -> c)
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-- Change how arguments are passed to a function. This splits paired arguments
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-- into two separate arguments.
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curry : ((a,b) -> c) -> a -> b -> c
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-- Change how arguments are passed to a function. This combines two arguments
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-- into a sigle pair.
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uncurry : (a -> b -> c) -> (a,b) -> c
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