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Creating Function Tables (Buffers)
 data Tab
 doubles :: [Double] > Tab
 type PartialStrength = Double
 type PartialNumber = Double
 type PartialPhase = Double
 type PartialDC = Double
 sines :: [PartialStrength] > Tab
 sines3 :: [(PartialNumber, PartialStrength, PartialPhase)] > Tab
 sines4 :: [(PartialNumber, PartialStrength, PartialPhase, PartialDC)] > Tab
 buzzes :: Double > [Double] > Tab
 consts :: [Double] > Tab
 segs :: [Double] > Tab
 cubes :: [Double] > Tab
 exps :: [Double] > Tab
 splines :: [Double] > Tab
 econsts :: [Double] > Tab
 esegs :: [Double] > Tab
 ecubes :: [Double] > Tab
 eexps :: [Double] > Tab
 esplines :: [Double] > Tab
 polys :: Double > Double > [Double] > Tab
 chebs1 :: Double > Double > [Double] > Tab
 chebs2 :: Double > Double > [Double] > Tab
 gen :: Int > [Double] > Tab
 skipNorm :: 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
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).
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).
(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.
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.
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:
segs [0, 0.25, 1, 0.75, 0]
or
segs [0, 25, 1, 75, 0]
or
segs [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.
segs [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
Equally spaced interpolants
econsts :: [Double] > TabSource
Equally spaced constant segments.
econsts [a, b, c, ...]
is the same as
consts [a, 1, b, 1, c, ...]
esegs :: [Double] > TabSource
Equally spaced segments of straight lines.
esegs [a, b, c, ...]
is the same as
segs [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, ...]
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
Low level Csound definition.
gen :: Int > [Double] > TabSource
Creates a table of doubles (It's ftable 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
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
.