Safe Haskell	None
Language	Haskell2010

Synthesizer.Interpolation.Module

Description

Special interpolations defined in terms of Module operations.

Synopsis

data T t y
constant :: T t y
linear :: C t y => T t y
cubic :: (C t, C t y) => T t y
cubicAlt :: (C t, C t y) => T t y
piecewise :: C t y => Int -> [t -> t] -> T t y
piecewiseConstant :: C t y => T t y
piecewiseLinear :: C t y => T t y
piecewiseCubic :: (C t, C t y) => T t y
function :: C t y => (Int, Int) -> (t -> t) -> T t y

Documentation

data T t y Source #

interpolation as needed for resampling

constant :: T t y Source #

Consider the signal to be piecewise constant, where the leading value is used for filling the interval [0,1).

linear :: C t y => T t y Source #

Consider the signal to be piecewise linear.

cubic :: (C t, C t y) => T t y Source #

Consider the signal to be piecewise cubic, with smooth connections at the nodes. It uses a cubic curve which has node values x0 at 0 and x1 at 1 and derivatives (x1-xm1)2 and (x2-x0)2, respectively. You can see how it works if you evaluate the expression for t=0 and t=1 as well as the derivative at these points.

cubicAlt :: (C t, C t y) => T t y Source #

piecewise :: C t y => Int -> [t -> t] -> T t y Source #

piecewiseConstant :: C t y => T t y Source #

piecewiseLinear :: C t y => T t y Source #

piecewiseCubic :: (C t, C t y) => T t y Source #

function Source #

Arguments

:: C t y
=> (Int, Int)	`(left extent, right extent)`, e.g. `(1,1)` for linear hat
-> (t -> t)
-> T t y

with this wrapper you can use the collection of interpolating functions from Donadio's DSP library