Safe Haskell | None |
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Creating Function Tables (Buffers)
- data Tab
- data TabFi
- fineFi :: Int -> [(Int, Int)] -> TabFi
- coarseFi :: Int -> TabFi
- doubles :: [Double] -> Tab
- wavs :: String -> Double -> Int -> Tab
- mp3s :: String -> Double -> Tab
- type PartialStrength = Double
- type PartialNumber = Double
- type PartialPhase = Double
- type PartialDC = Double
- sines :: [PartialStrength] -> Tab
- sines3 :: [(PartialNumber, PartialStrength, PartialPhase)] -> Tab
- sines2 :: [(PartialNumber, PartialStrength)] -> Tab
- sines1 :: [PartialNumber] -> Tab
- sines4 :: [(PartialNumber, PartialStrength, PartialPhase, PartialDC)] -> Tab
- buzzes :: Double -> [Double] -> Tab
- sine :: Tab
- cosine :: Tab
- sigmoid :: Tab
- consts :: [Double] -> Tab
- lins :: [Double] -> Tab
- cubes :: [Double] -> Tab
- exps :: [Double] -> Tab
- splines :: [Double] -> Tab
- startEnds :: [Double] -> Tab
- econsts :: [Double] -> Tab
- elins :: [Double] -> Tab
- ecubes :: [Double] -> Tab
- eexps :: [Double] -> Tab
- esplines :: [Double] -> Tab
- estartEnds :: [Double] -> Tab
- polys :: Double -> Double -> [Double] -> Tab
- chebs1 :: Double -> Double -> [Double] -> Tab
- chebs2 :: Double -> Double -> [Double] -> Tab
- bessels :: Double -> Tab
- winHamming :: [Double] -> Tab
- winHanning :: [Double] -> Tab
- winBartlett :: [Double] -> Tab
- winBlackman :: [Double] -> Tab
- winHarris :: [Double] -> Tab
- winGaussian :: [Double] -> Tab
- winKaiser :: [Double] -> Tab
- winRectangle :: [Double] -> Tab
- winSync :: [Double] -> Tab
- gen :: Int -> [Double] -> Tab
- skipNorm :: Tab -> Tab
- forceNorm :: Tab -> Tab
- setSize :: Int -> Tab -> Tab
- setDegree :: Int -> Tab -> Tab
- guardPoint :: Tab -> Tab
- gp :: Tab -> Tab
- lllofi :: Tab -> Tab
- llofi :: Tab -> Tab
- lofi :: Tab -> Tab
- midfi :: Tab -> Tab
- hifi :: Tab -> Tab
- hhifi :: Tab -> Tab
- hhhifi :: Tab -> Tab
- idWavs :: Int
- idMp3s :: Int
- idDoubles :: Int
- idSines :: Int
- idSines3 :: Int
- idSines2 :: Int
- idPartials :: Int
- idSines4 :: Int
- idBuzzes :: Int
- idConsts :: Int
- idLins :: Int
- idCubes :: Int
- idExps :: Int
- idSplines :: Int
- idStartEnds :: Int
- idPolys :: Int
- idChebs1 :: Int
- idChebs2 :: Int
- idBessels :: Int
- idWins :: Int
Documentation
If you are not familliar with Csound's conventions you are pobably not aware of the fact that for efficiency reasons Csound requires that table size is equal to power of 2 or power of two plus one which stands for guard point (you do need guard point if your intention is to read the table once but you don't need the guard point if you read the table in many cycles, then the guard point is the the first point of your table).
Table granularity
fineFi :: Int -> [(Int, Int)] -> TabFi
Sets different table size for different GEN-routines.
fineFi n ps
where
-
n
is the default value for table size (size is an
power of 2) for all gen routines that are not listed in the next argumentps
. -
ps
is a list of pairs(genRoutineId, tableSizeDegreeOf2)
that sets the given table size for a given GEN-routine.
with this function we can set lower table sizes for tables that are usually used in the envelopes.
Sets the same table size for all tables.
coarseFi n
where n
is a degree of 2. For example, n = 10
sets size to 1024 points for all tables by default.
Fill table with numbers
doubles :: [Double] -> TabSource
Table contains all provided values (table is extended to contain all values and to be of the power of 2 or the power of two plus one). (by default it skips normalization).
Read from files
(In)Harmonic series
type PartialStrength = DoubleSource
type PartialNumber = DoubleSource
type PartialPhase = DoubleSource
sines :: [PartialStrength] -> TabSource
Series of harmonic partials:
sine = sines [1]
saw = sines $ fmap (1 / ) [1 .. 10]
square = sines $ fmap (1 / ) [1, 3 .. 11]
triangle = sines $ zipWith (\a b -> a / (b ** 2)) (cycle [1, -1]) [1, 3 .. 11]
sines3 :: [(PartialNumber, PartialStrength, PartialPhase)] -> TabSource
Specifies series of possibly inharmonic partials.
sines2 :: [(PartialNumber, PartialStrength)] -> TabSource
Just like sines3
but phases are set to zero.
sines1 :: [PartialNumber] -> TabSource
Just like sines2
but partial strength is set to one.
sines4 :: [(PartialNumber, PartialStrength, PartialPhase, PartialDC)] -> TabSource
Specifies series of possibly inharmonic partials with direct current.
buzzes :: Double -> [Double] -> TabSource
Generates values similar to the opcode buzz
.
buzzes numberOfHarmonics [lowestHarmonic, coefficientOfAttenuation]
With buzzes n [l, r]
you get n
harmonics from l
that are attenuated by the factor of r
on each step.
Special cases
Interpolants
All funtions have the same shape of arguments:
fun [a, n1, b, n2, c, ...]
where
- a, b, c .. - are ordinate values
- n1, n2 .. - are lengths of the segments relative to the total number of the points in the table
Csounders, Heads up! all segment lengths are relative to the total sum of the segments. You don't need to make the sum equal to the number of points in the table. Segment's lengths will be resized automatically. For example if we want to define a curve that rises to 1 over 25% of the table and then falls down to zero we can define it like this:
lins [0, 0.25, 1, 0.75, 0]
or
lins [0, 25, 1, 75, 0]
or
lins [0, 1, 1, 3, 0]
all these expressions are equivalent.
consts :: [Double] -> TabSource
Constant segments (sample and hold).
consts [a, n1, b, n2, c, ...]
where
- a, b, c .. - are ordinate values
-
n1, n2, ...
are lengths of the segments relative to the total number of the points in the table
Segments of straight lines.
lins [a, n1, b, n2, c, ...]
where
- a, b, c .. - are ordinate values
-
n1, n2, ...
are lengths of the segments relative to the total number of the points in the table
cubes :: [Double] -> TabSource
Segments of cubic polynomials.
cubes [a, n1, b, n2, c, ...]
where
- a, b, c .. - are ordinate values
-
n1, n2, ...
are lengths of the segments relative to the total number of the points in the table
Segments of the exponential curves.
exps [a, n1, b, n2, c, ...]
where
-
a, b, c, ...
are ordinate values -
n1, n2, ...
are lengths of the segments relative to the total number of the points in the table
splines :: [Double] -> TabSource
Cubic spline curve.
splines [a, n1, b, n2, c, ...]
where
- a, b, c .. - are ordinate values
-
n1, n2, ...
are lengths of the segments relative to the total number of the points in the table
startEnds :: [Double] -> TabSource
Creates a table from a starting value to an ending value.
startEnds [val1, dur1, type1, val2, dur2, type2, val3, ... typeX, valN]
- val1, val2 ... -- end points of the segments
- dur1, dur2 ... -- durations of the segments
- type1, type2 ... -- if 0, a straight line is produced. If non-zero, then it creates the following curve, for dur steps:
beg + (end - beg) * (1 - exp( i*type)) / (1 - exp(
- beg, end - end points of the segment
- dur - duration of the segment
Equally spaced interpolants
econsts :: [Double] -> TabSource
Equally spaced constant segments.
econsts [a, b, c, ...]
is the same as
consts [a, 1, b, 1, c, ...]
elins :: [Double] -> TabSource
Equally spaced segments of straight lines.
elins [a, b, c, ...]
is the same as
lins [a, 1, b, 1, c, ...]
ecubes :: [Double] -> TabSource
Equally spaced segments of cubic polynomials.
ecubes [a, b, c, ...]
is the same as
cubes [a, 1, b, 1, c, ...]
eexps :: [Double] -> TabSource
Equally spaced segments of exponential curves.
eexps [a, b, c, ...]
is the same as
exps [a, 1, b, 1, c, ...]
esplines :: [Double] -> TabSource
Equally spaced spline curve.
esplines [a, b, c, ...]
is the same as
splines [a, 1, b, 1, c, ...]
estartEnds :: [Double] -> TabSource
Equally spaced interpolation for the function startEnds
estartEnds [val1, type1, val2, typ2, ...]
is the same as
estartEnds [val1, 1, type1, val2, 1, type2, ...]
Polynomials
polys :: Double -> Double -> [Double] -> TabSource
Polynomials.
polys xl xr [c0, c1, c2, ..]
where
- xl, xr - left and right values of the interval over wich polynomial is defined
- [c0, c1, c2, ...] -- coefficients of the polynomial
c0 + c1 * x + c2 * x * x + ...
chebs1 :: Double -> Double -> [Double] -> TabSource
Chebyshev polynomials of the first kind.
polys xl xr [h0, h1, h2, ..]
where
- xl, xr - left and right values of the interval over wich polynomial is defined
- [h0, h1, h2, ...] -- relative strength of the partials
chebs2 :: Double -> Double -> [Double] -> TabSource
Chebyshev polynomials of the second kind.
polys xl xr [h0, h1, h2, ..]
where
- xl, xr - left and right values of the interval over wich polynomial is defined
- [h0, h1, h2, ...] -- relative strength of the partials
bessels :: Double -> TabSource
Modified Bessel function of the second kind, order 0 (for amplitude modulated FM).
bessels xint
the function is defined within the interval [0, xint]
.
Windows
winHamming :: [Double] -> TabSource
winHanning :: [Double] -> TabSource
winBartlett :: [Double] -> TabSource
winBlackman :: [Double] -> TabSource
winGaussian :: [Double] -> TabSource
winRectangle :: [Double] -> TabSource
Low level Csound definition.
gen :: Int -> [Double] -> TabSource
Creates a table of doubles (It's f-table in Csound). Arguments are:
- identificator of the GEN routine
- GEN routine arguments
All tables are created at 0 and memory is never released.
Modify tables
Force normalization (sets table size to positive value).
Might be useful to restore normalization for table doubles
.
setSize :: Int -> Tab -> TabSource
Sets an absolute size value. As you can do it in the Csound files.
setDegree :: Int -> Tab -> TabSource
Sets the relative size value. You can set the base value in the options
(see tabResolution
at CsdOptions
, with tabResolution you can easily change table sizes for all your tables).
Here zero means the base value. 1 is the base value multiplied by 2, 2 is the base value multiplied by 4
and so on. Negative values mean division by the specified degree.
guardPoint :: Tab -> TabSource
Adds guard point to the table size (details of the interpolation schemes: you do need guard point if your intention is to read the table once but you don't need the guard point if you read table in many cycles, the guard point is the the first point of your table).
Shortcut for guardPoint
.
Handy shortcuts
handy shortcuts for the function setDegree
.
Identifiers for GEN-routines
Low level Csound integer identifiers for tables. These names can be used in the function fineFi
idPartials :: Int
idStartEnds :: Int