| Safe Haskell | None |
|---|---|
| Language | Haskell98 |
Synthesizer.LLVM.Wave
Synopsis
- saw :: (PseudoRing a, IntegerConstant a) => a -> CodeGenFunction r a
- square :: (PseudoRing a, IntegerConstant a, Fraction a) => a -> CodeGenFunction r a
- triangleSquarePower :: (PseudoRing a, RationalConstant a, Real a) => Integer -> a -> CodeGenFunction r a
- triangleSquareRatio :: (Field a, RationalConstant a, Real a) => a -> a -> CodeGenFunction r a
- triangle :: (PseudoRing a, RationalConstant a, Fraction a) => a -> CodeGenFunction r a
- approxSine2 :: (PseudoRing a, IntegerConstant a, Fraction a) => a -> CodeGenFunction r a
- approxSine3 :: (PseudoRing a, RationalConstant a, Fraction a) => a -> CodeGenFunction r a
- approxSine4 :: (PseudoRing a, RationalConstant a, Real a) => a -> CodeGenFunction r a
- rationalApproxCosine1 :: (Field a, RationalConstant a, Real a) => a -> a -> CodeGenFunction r a
- rationalApproxSine1 :: (Field a, RationalConstant a, Real a) => a -> a -> CodeGenFunction r a
- trapezoidSkew :: (Field a, RationalConstant a, Real a) => a -> a -> CodeGenFunction r a
- trapezoidSlope :: (PseudoRing a, RationalConstant a, Real a) => a -> a -> CodeGenFunction r a
- sine :: (Transcendental a, RationalConstant a) => a -> CodeGenFunction r a
- replicate :: (PseudoRing a, RationalConstant a, Fraction a) => a -> a -> CodeGenFunction r a
- halfEnvelope :: (PseudoRing a, RationalConstant a, Fraction a) => a -> CodeGenFunction r a
- partial :: (Fraction v, PseudoRing v, IntegerConstant v) => (v -> CodeGenFunction r v) -> Int -> v -> CodeGenFunction r v
Documentation
triangleSquarePower :: (PseudoRing a, RationalConstant a, Real a) => Integer -> a -> CodeGenFunction r a Source #
Discrete interpolation between triangle and square wave. For exponent 1 we get a triangle wave. The larger the exponent, the more we approach a square wave, the.more computing is necessary.
triangleSquareRatio :: (Field a, RationalConstant a, Real a) => a -> a -> CodeGenFunction r a Source #
Continuous interpolation between triangle and square wave. For factor 0 we get a square wave, for factor 1 we get a triangle wave.
approxSine2 :: (PseudoRing a, IntegerConstant a, Fraction a) => a -> CodeGenFunction r a Source #
approxSine3 :: (PseudoRing a, RationalConstant a, Fraction a) => a -> CodeGenFunction r a Source #
approxSine4 :: (PseudoRing a, RationalConstant a, Real a) => a -> CodeGenFunction r a Source #
rationalApproxCosine1 :: (Field a, RationalConstant a, Real a) => a -> a -> CodeGenFunction r a Source #
For the distortion factor recip pi you get the closest approximation
to an undistorted cosine or sine.
We have chosen this scaling in order to stay with field operations.
rationalApproxSine1 :: (Field a, RationalConstant a, Real a) => a -> a -> CodeGenFunction r a Source #
For the distortion factor recip pi you get the closest approximation
to an undistorted cosine or sine.
We have chosen this scaling in order to stay with field operations.
trapezoidSkew :: (Field a, RationalConstant a, Real a) => a -> a -> CodeGenFunction r a Source #
trapezoidSlope :: (PseudoRing a, RationalConstant a, Real a) => a -> a -> CodeGenFunction r a Source #
trapezoidSlope steepness = trapezoidSkew (recip steepness)
replicate :: (PseudoRing a, RationalConstant a, Fraction a) => a -> a -> CodeGenFunction r a Source #
This can be used for preprocessing the phase in order to generate locally faster oscillating waves. For example
triangle <=< replicate (valueOf 2.5)
shrinks a triangle wave such that 2.5 periods fit into one.
halfEnvelope :: (PseudoRing a, RationalConstant a, Fraction a) => a -> CodeGenFunction r a Source #
Preprocess the phase such that the first half of a wave is expanded to one period and shifted by 90 degree. E.g.
sine <=< halfEnvelope
generates a sequence of sine bows that starts and ends with the maximum.
Such a signal can be used to envelope an oscillation
generated using replicate.