Maintainer	Jeremy Nuttall <jeremy@jeremy-nuttall.com>
Stability	experimental
Safe Haskell	Safe-Inferred
Language	GHC2021

Numeric.Noise

Contents

Noise functions
Noise manipulation

Description

Synopsis

data Noise2 a
data Noise3 a
type Seed = Word64
noise2At :: Noise2 a -> Seed -> a -> a -> a
noise3At :: Noise3 a -> Seed -> a -> a -> a -> a
cellular2 :: (RealFrac a, Floating a) => CellularConfig a -> Noise2 a
openSimplex2 :: RealFrac a => Noise2 a
superSimplex2 :: RealFrac a => Noise2 a
perlin2 :: RealFrac a => Noise2 a
value2 :: RealFrac a => Noise2 a
valueCubic2 :: RealFrac a => Noise2 a
perlin3 :: RealFrac a => Noise3 a
value3 :: RealFrac a => Noise3 a
valueCubic3 :: RealFrac a => Noise3 a
clamp :: Ord a => a -> a -> a -> a
clamp2 :: Ord a => a -> a -> Noise2 a -> Noise2 a
clamp3 :: Ord a => a -> a -> Noise3 a -> Noise3 a
cubicInterp :: Num a => a -> a -> a -> a -> a -> a
hermiteInterp :: Num a => a -> a
lerp :: Num a => a -> a -> a -> a
next2 :: Noise2 a -> Noise2 a
next3 :: Noise3 a -> Noise3 a
quinticInterp :: Num a => a -> a
module Numeric.Noise.Fractal
data CellularConfig a = CellularConfig {
- cellularDistanceFn :: !CellularDistanceFn
- cellularJitter :: !a
- cellularResult :: !CellularResult
}
data CellularDistanceFn
- = DistEuclidean
- | DistEuclideanSq
- | DistManhattan
- | DistHybrid
data CellularResult
- = CellValue
- | Distance
- | Distance2
- | Distance2Add
- | Distance2Sub
- | Distance2Mul
- | Distance2Div
defaultCellularConfig :: RealFrac a => CellularConfig a

Noise functions

data Noise2 a Source #

Instances

Instances details

Floating a => Floating (Noise2 a) Source #
Instance details Defined in Numeric.Noise.Internal Methods pi :: Noise2 a # exp :: Noise2 a -> Noise2 a # log :: Noise2 a -> Noise2 a # sqrt :: Noise2 a -> Noise2 a # (**) :: Noise2 a -> Noise2 a -> Noise2 a # logBase :: Noise2 a -> Noise2 a -> Noise2 a # sin :: Noise2 a -> Noise2 a # cos :: Noise2 a -> Noise2 a # tan :: Noise2 a -> Noise2 a # asin :: Noise2 a -> Noise2 a # acos :: Noise2 a -> Noise2 a # atan :: Noise2 a -> Noise2 a # sinh :: Noise2 a -> Noise2 a # cosh :: Noise2 a -> Noise2 a # tanh :: Noise2 a -> Noise2 a # asinh :: Noise2 a -> Noise2 a # acosh :: Noise2 a -> Noise2 a # atanh :: Noise2 a -> Noise2 a # log1p :: Noise2 a -> Noise2 a # expm1 :: Noise2 a -> Noise2 a # log1pexp :: Noise2 a -> Noise2 a # log1mexp :: Noise2 a -> Noise2 a #
Num a => Num (Noise2 a) Source #
Instance details Defined in Numeric.Noise.Internal Methods (+) :: Noise2 a -> Noise2 a -> Noise2 a # (-) :: Noise2 a -> Noise2 a -> Noise2 a # (*) :: Noise2 a -> Noise2 a -> Noise2 a # negate :: Noise2 a -> Noise2 a # abs :: Noise2 a -> Noise2 a # signum :: Noise2 a -> Noise2 a # fromInteger :: Integer -> Noise2 a #
Fractional a => Fractional (Noise2 a) Source #
Instance details Defined in Numeric.Noise.Internal Methods (/) :: Noise2 a -> Noise2 a -> Noise2 a # recip :: Noise2 a -> Noise2 a # fromRational :: Rational -> Noise2 a #

data Noise3 a Source #

Instances

Instances details

Floating a => Floating (Noise3 a) Source #
Instance details Defined in Numeric.Noise.Internal Methods pi :: Noise3 a # exp :: Noise3 a -> Noise3 a # log :: Noise3 a -> Noise3 a # sqrt :: Noise3 a -> Noise3 a # (**) :: Noise3 a -> Noise3 a -> Noise3 a # logBase :: Noise3 a -> Noise3 a -> Noise3 a # sin :: Noise3 a -> Noise3 a # cos :: Noise3 a -> Noise3 a # tan :: Noise3 a -> Noise3 a # asin :: Noise3 a -> Noise3 a # acos :: Noise3 a -> Noise3 a # atan :: Noise3 a -> Noise3 a # sinh :: Noise3 a -> Noise3 a # cosh :: Noise3 a -> Noise3 a # tanh :: Noise3 a -> Noise3 a # asinh :: Noise3 a -> Noise3 a # acosh :: Noise3 a -> Noise3 a # atanh :: Noise3 a -> Noise3 a # log1p :: Noise3 a -> Noise3 a # expm1 :: Noise3 a -> Noise3 a # log1pexp :: Noise3 a -> Noise3 a # log1mexp :: Noise3 a -> Noise3 a #
Num a => Num (Noise3 a) Source #
Instance details Defined in Numeric.Noise.Internal Methods (+) :: Noise3 a -> Noise3 a -> Noise3 a # (-) :: Noise3 a -> Noise3 a -> Noise3 a # (*) :: Noise3 a -> Noise3 a -> Noise3 a # negate :: Noise3 a -> Noise3 a # abs :: Noise3 a -> Noise3 a # signum :: Noise3 a -> Noise3 a # fromInteger :: Integer -> Noise3 a #
Fractional a => Fractional (Noise3 a) Source #
Instance details Defined in Numeric.Noise.Internal Methods (/) :: Noise3 a -> Noise3 a -> Noise3 a # recip :: Noise3 a -> Noise3 a # fromRational :: Rational -> Noise3 a #

type Seed = Word64 Source #

noise2At :: Noise2 a -> Seed -> a -> a -> a Source #

noise3At :: Noise3 a -> Seed -> a -> a -> a -> a Source #

2D Noise

cellular2 :: (RealFrac a, Floating a) => CellularConfig a -> Noise2 a Source #

openSimplex2 :: RealFrac a => Noise2 a Source #

superSimplex2 :: RealFrac a => Noise2 a Source #

perlin2 :: RealFrac a => Noise2 a Source #

value2 :: RealFrac a => Noise2 a Source #

valueCubic2 :: RealFrac a => Noise2 a Source #

3D Noise

perlin3 :: RealFrac a => Noise3 a Source #

value3 :: RealFrac a => Noise3 a Source #

valueCubic3 :: RealFrac a => Noise3 a Source #

Noise manipulation

Math utility functions

clamp Source #

Arguments

:: Ord a
=> a	lower bound
-> a	upper bound
-> a	value
-> a

clamp2 :: Ord a => a -> a -> Noise2 a -> Noise2 a Source #

clamp3 :: Ord a => a -> a -> Noise3 a -> Noise3 a Source #

cubicInterp :: Num a => a -> a -> a -> a -> a -> a Source #

cubic interpolation

hermiteInterp :: Num a => a -> a Source #

hermite interpolation

lerp Source #

Arguments

:: Num a
=> a	start
-> a	end
-> a	parameter in range [0, 1]
-> a

monotonic lerp

next2 :: Noise2 a -> Noise2 a Source #

next3 :: Noise3 a -> Noise3 a Source #

quinticInterp :: Num a => a -> a Source #

quintic interpolation

Fractal Brownian Motion

module Numeric.Noise.Fractal

Cellular noise configuration

data CellularConfig a Source #

Constructors

CellularConfig
Fields cellularDistanceFn :: !CellularDistanceFn cellularJitter :: !a cellularResult :: !CellularResult

Instances

Instances details

Generic (CellularConfig a) Source #
Instance details Defined in Numeric.Noise.Cellular Associated Types type Rep (CellularConfig a) :: Type -> Type # Methods from :: CellularConfig a -> Rep (CellularConfig a) x # to :: Rep (CellularConfig a) x -> CellularConfig a #
Show a => Show (CellularConfig a) Source #
Instance details Defined in Numeric.Noise.Cellular Methods showsPrec :: Int -> CellularConfig a -> ShowS # show :: CellularConfig a -> String # showList :: [CellularConfig a] -> ShowS #
type Rep (CellularConfig a) Source #
Instance details Defined in Numeric.Noise.Cellular type Rep (CellularConfig a) = D1 ('MetaData "CellularConfig" "Numeric.Noise.Cellular" "pure-noise-0.1.0.1-1DAIMG369CFHKouqQm7cYB" 'False) (C1 ('MetaCons "CellularConfig" 'PrefixI 'True) (S1 ('MetaSel ('Just "cellularDistanceFn") 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 CellularDistanceFn) :: (S1 ('MetaSel ('Just "cellularJitter") 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 a) :: S1 ('MetaSel ('Just "cellularResult") 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 CellularResult))))

data CellularDistanceFn Source #

Constructors

DistEuclidean
DistEuclideanSq
DistManhattan
DistHybrid

Instances

Instances details

Bounded CellularDistanceFn Source #
Instance details Defined in Numeric.Noise.Cellular Methods minBound :: CellularDistanceFn # maxBound :: CellularDistanceFn #
Enum CellularDistanceFn Source #
Instance details Defined in Numeric.Noise.Cellular Methods succ :: CellularDistanceFn -> CellularDistanceFn # pred :: CellularDistanceFn -> CellularDistanceFn # toEnum :: Int -> CellularDistanceFn # fromEnum :: CellularDistanceFn -> Int # enumFrom :: CellularDistanceFn -> [CellularDistanceFn] # enumFromThen :: CellularDistanceFn -> CellularDistanceFn -> [CellularDistanceFn] # enumFromTo :: CellularDistanceFn -> CellularDistanceFn -> [CellularDistanceFn] # enumFromThenTo :: CellularDistanceFn -> CellularDistanceFn -> CellularDistanceFn -> [CellularDistanceFn] #
Generic CellularDistanceFn Source #
Instance details Defined in Numeric.Noise.Cellular Associated Types type Rep CellularDistanceFn :: Type -> Type # Methods from :: CellularDistanceFn -> Rep CellularDistanceFn x # to :: Rep CellularDistanceFn x -> CellularDistanceFn #
Read CellularDistanceFn Source #
Instance details Defined in Numeric.Noise.Cellular Methods readsPrec :: Int -> ReadS CellularDistanceFn # readList :: ReadS [CellularDistanceFn] # readPrec :: ReadPrec CellularDistanceFn # readListPrec :: ReadPrec [CellularDistanceFn] #
Show CellularDistanceFn Source #
Instance details Defined in Numeric.Noise.Cellular Methods showsPrec :: Int -> CellularDistanceFn -> ShowS # show :: CellularDistanceFn -> String # showList :: [CellularDistanceFn] -> ShowS #
Eq CellularDistanceFn Source #
Instance details Defined in Numeric.Noise.Cellular Methods (==) :: CellularDistanceFn -> CellularDistanceFn -> Bool # (/=) :: CellularDistanceFn -> CellularDistanceFn -> Bool #
Ord CellularDistanceFn Source #
Instance details Defined in Numeric.Noise.Cellular Methods compare :: CellularDistanceFn -> CellularDistanceFn -> Ordering # (<) :: CellularDistanceFn -> CellularDistanceFn -> Bool # (<=) :: CellularDistanceFn -> CellularDistanceFn -> Bool # (>) :: CellularDistanceFn -> CellularDistanceFn -> Bool # (>=) :: CellularDistanceFn -> CellularDistanceFn -> Bool # max :: CellularDistanceFn -> CellularDistanceFn -> CellularDistanceFn # min :: CellularDistanceFn -> CellularDistanceFn -> CellularDistanceFn #
type Rep CellularDistanceFn Source #
Instance details Defined in Numeric.Noise.Cellular type Rep CellularDistanceFn = D1 ('MetaData "CellularDistanceFn" "Numeric.Noise.Cellular" "pure-noise-0.1.0.1-1DAIMG369CFHKouqQm7cYB" 'False) ((C1 ('MetaCons "DistEuclidean" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "DistEuclideanSq" 'PrefixI 'False) (U1 :: Type -> Type)) :+: (C1 ('MetaCons "DistManhattan" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "DistHybrid" 'PrefixI 'False) (U1 :: Type -> Type)))

data CellularResult Source #

Constructors

CellValue
Distance
Distance2
Distance2Add
Distance2Sub
Distance2Mul
Distance2Div

Instances

Instances details

Bounded CellularResult Source #
Instance details Defined in Numeric.Noise.Cellular Methods minBound :: CellularResult # maxBound :: CellularResult #
Enum CellularResult Source #
Instance details Defined in Numeric.Noise.Cellular Methods succ :: CellularResult -> CellularResult # pred :: CellularResult -> CellularResult # toEnum :: Int -> CellularResult # fromEnum :: CellularResult -> Int # enumFrom :: CellularResult -> [CellularResult] # enumFromThen :: CellularResult -> CellularResult -> [CellularResult] # enumFromTo :: CellularResult -> CellularResult -> [CellularResult] # enumFromThenTo :: CellularResult -> CellularResult -> CellularResult -> [CellularResult] #
Generic CellularResult Source #
Instance details Defined in Numeric.Noise.Cellular Associated Types type Rep CellularResult :: Type -> Type # Methods from :: CellularResult -> Rep CellularResult x # to :: Rep CellularResult x -> CellularResult #
Read CellularResult Source #
Instance details Defined in Numeric.Noise.Cellular Methods readsPrec :: Int -> ReadS CellularResult # readList :: ReadS [CellularResult] # readPrec :: ReadPrec CellularResult # readListPrec :: ReadPrec [CellularResult] #
Show CellularResult Source #
Instance details Defined in Numeric.Noise.Cellular Methods showsPrec :: Int -> CellularResult -> ShowS # show :: CellularResult -> String # showList :: [CellularResult] -> ShowS #
Eq CellularResult Source #
Instance details Defined in Numeric.Noise.Cellular Methods (==) :: CellularResult -> CellularResult -> Bool # (/=) :: CellularResult -> CellularResult -> Bool #
Ord CellularResult Source #
Instance details Defined in Numeric.Noise.Cellular Methods compare :: CellularResult -> CellularResult -> Ordering # (<) :: CellularResult -> CellularResult -> Bool # (<=) :: CellularResult -> CellularResult -> Bool # (>) :: CellularResult -> CellularResult -> Bool # (>=) :: CellularResult -> CellularResult -> Bool # max :: CellularResult -> CellularResult -> CellularResult # min :: CellularResult -> CellularResult -> CellularResult #
type Rep CellularResult Source #
Instance details Defined in Numeric.Noise.Cellular type Rep CellularResult = D1 ('MetaData "CellularResult" "Numeric.Noise.Cellular" "pure-noise-0.1.0.1-1DAIMG369CFHKouqQm7cYB" 'False) ((C1 ('MetaCons "CellValue" 'PrefixI 'False) (U1 :: Type -> Type) :+: (C1 ('MetaCons "Distance" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "Distance2" 'PrefixI 'False) (U1 :: Type -> Type))) :+: ((C1 ('MetaCons "Distance2Add" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "Distance2Sub" 'PrefixI 'False) (U1 :: Type -> Type)) :+: (C1 ('MetaCons "Distance2Mul" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "Distance2Div" 'PrefixI 'False) (U1 :: Type -> Type))))

defaultCellularConfig :: RealFrac a => CellularConfig a Source #