Sound.SC3.UGen.Math

Non-standard mathematical classes and class instances.

Documentation

class EqE a where

Variant on Eq class, result is of the same type as the values compared.

Methods

(==*) :: a -> a -> a

(/=*) :: a -> a -> a

Instances

EqE Double

EqE UGen

class OrdE a where

Variant on Ord class, result is of the same type as the values compared.

Methods

(<*) :: a -> a -> a

(<=*) :: a -> a -> a

(>*) :: a -> a -> a

(>=*) :: a -> a -> a

Instances

OrdE Double

OrdE UGen

class RealFracE a where

Variant of RealFrac with non Integral results.

Methods

properFractionE :: a -> (a, a)

truncateE :: a -> a

roundE :: a -> a

ceilingE :: a -> a

floorE :: a -> a

Instances

RealFracE Double

RealFracE UGen

truncatef :: RealFrac a => a -> a

Variant of truncate.

roundf :: RealFrac a => a -> a

Variant of round.

ceilingf :: RealFrac a => a -> a

Variant of ceiling.

floorf :: RealFrac a => a -> a

Variant of floor.

roundTo_ :: Double -> Double -> Double

Variant of SC3 roundTo function.

roundTo :: UGen -> UGen -> UGen

UGen form or roundTo_.

ceil :: UGen -> UGen

UGen form of ceilingE.

midiCPS' :: Floating a => a -> a

Floating form of midiCPS.

class (Floating a, Ord a) => UnaryOp a where

Unary operator class.

 map (floor . (* 1e4) . dbAmp) [-90,-60,-30,0] == [0,10,316,10000]

Methods

ampDb :: a -> a

asFloat :: a -> a

asInt :: a -> a

cpsMIDI :: a -> a

cpsOct :: a -> a

cubed :: a -> a

dbAmp :: a -> a

distort :: a -> a

frac :: a -> a

isNil :: a -> a

log10 :: a -> a

log2 :: a -> a

midiCPS :: a -> a

midiRatio :: a -> a

notE :: a -> a

notNil :: a -> a

octCPS :: a -> a

ramp_ :: a -> a

ratioMIDI :: a -> a

softClip :: a -> a

squared :: a -> a

Instances

UnaryOp Double

UnaryOp UGen

class (Floating a, Ord a) => BinaryOp a where

Binary operator class.

Methods

absDif :: a -> a -> a

amClip :: a -> a -> a

atan2E :: a -> a -> a

clip2 :: a -> a -> a

difSqr :: a -> a -> a

excess :: a -> a -> a

exprandRange :: a -> a -> a

fill :: a -> a -> a

firstArg :: a -> a -> a

fold2 :: a -> a -> a

gcdE :: a -> a -> a

hypot :: a -> a -> a

hypotx :: a -> a -> a

iDiv :: a -> a -> a

lcmE :: a -> a -> a

modE :: a -> a -> a

randRange :: a -> a -> a

ring1 :: a -> a -> a

ring2 :: a -> a -> a

ring3 :: a -> a -> a

ring4 :: a -> a -> a

roundUp :: a -> a -> a

scaleNeg :: a -> a -> a

sqrDif :: a -> a -> a

sqrSum :: a -> a -> a

sumSqr :: a -> a -> a

thresh :: a -> a -> a

trunc :: a -> a -> a

wrap2 :: a -> a -> a

Instances

BinaryOp Double

BinaryOp UGen

fmod :: Double -> Double -> Double

The SC3 % operator is libc fmod function.

 1.5 % 1.2 // ~= 0.3
 -1.5 % 1.2 // ~= 0.9
 1.5 % -1.2 // ~= -0.9
 -1.5 % -1.2 // ~= -0.3

 1.5 `fmod` 1.2 -- ~= 0.3
 (-1.5) `fmod` 1.2 -- ~= 0.9
 1.5 `fmod` (-1.2) -- ~= -0.9
 (-1.5) `fmod` (-1.2) -- ~= -0.3

1. 2 % 1.5 ~= 1.2 -1.2 % 1.5 ~= 0.3 1.2 % -1.5 ~= -0.3 -1.2 % -1.5 ~= -1.2

 1.2 `fmod` 1.5 -- ~= 1.2
 (-1.2) `fmod` 1.5 -- ~= 0.3
 1.2 `fmod` (-1.5) -- ~= -0.3
 (-1.2) `fmod` (-1.5) -- ~= -1.2

wrap' :: Double -> Double -> Double -> Double

Wrap k to within range (i,j), ie. AbstractFunction.wrap.

 map (wrap' 5 10) [3..12] == [8,9,5,6,7,8,9,10,6,7]

genericWrap :: (Ord a, Num a) => a -> a -> a -> a

Generic variant of wrap'.

 map (genericWrap (5::Integer) 10) [3..12] == [8,9,5,6,7,8,9,10,6,7]

wrap_ :: Double -> Double -> Double -> Double

Variant of wrap' with SC3 argument ordering.

 map (\n -> wrap_ n 5 10) [3..12] == map (wrap' 5 10) [3..12]

foldToRange :: (Ord a, Num a) => a -> a -> a -> a

Fold k to within range (i,j), ie. AbstractFunction.fold

 map (foldToRange 5 10) [3..12] == [7,6,5,6,7,8,9,10,9,8]

fold_ :: (Ord a, Num a) => a -> a -> a -> a

Variant of foldToRange with SC3 argument ordering.

clip' :: Ord a => a -> a -> a -> a

Clip k to within range (i,j),

 map (clip' 5 10) [3..12] == [5,5,5,6,7,8,9,10,10,10]

clip_ :: Ord a => a -> a -> a -> a

Variant of clip' with SC3 argument ordering.