Copyright | (c) Henning Thielemann 2006 |
---|---|

License | GPL |

Maintainer | synthesizer@henning-thielemann.de |

Stability | provisional |

Portability | requires multi-parameter type classes |

Safe Haskell | None |

Language | Haskell2010 |

Waveforms which are smoothed according to the oscillator frequency in order to suppress aliasing effects.

## Synopsis

- data T t y
- fromFunction :: (t -> t -> y) -> T t y
- fromWave :: (C t, C t, C y) => T t y -> T t y
- fromControlledWave :: (C t, C t, C y) => (t -> T t y) -> T t y
- raise :: C y => y -> T t y -> T t y
- amplify :: C y => y -> T t y -> T t y
- distort :: (y -> z) -> T t y -> T t z
- apply :: T t y -> t -> T t -> y
- sine :: (C a, C a) => T a a
- cosine :: (C a, C a) => T a a
- saw :: (C a, C a) => T a a
- square :: (C a, C a) => T a a
- triangle :: (C a, C a) => T a a
- data Harmonic a
- harmonic :: T a -> a -> Harmonic a
- composedHarmonics :: (C a, C a) => [Harmonic a] -> T a a

# Documentation

fromFunction :: (t -> t -> y) -> T t y Source #

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

Use this function for waves which are sufficiently smooth. If the Nyquist frequency is exceeded the wave is simply replaced by a constant zero wave.

saw :: (C a, C a) => T a a Source #

saw tooth, it's a ramp down in order to have a positive coefficient for the first partial sine

This is similar to Polar coordinates,
but the range of the phase is from `0`

to `1`

, not `0`

to `2*pi`

.

If you need to represent a harmonic by complex coefficients
instead of the polar representation,
then please build a complex valued polynomial from your coefficients
and use it to distort a `helix`

.

distort (Poly.evaluate (Poly.fromCoeffs complexCoefficients)) helix