Tables (or arrays)

The default table. It's rendered to (-1) in the Csound.

nsamp — Returns the number of samples loaded into a stored function table number.

nsamp(x) (init-rate args only)

csound doc: http://www.csounds.com/manual/html/nsamp.html

Returns a length of the table.

Returns the sample rate for a table that stores wav files

Returns the number of channels for a table that stores wav files

Returns the base frequency for a table that stores wav files

Table length in seconds for files that are read with GEN01 (which a re read with functions like wavs, wavTab, wavLeft, wavRight).

Table size fidelity (how many points in the table by default).

Sets different table size for different GEN-routines.

fineFi n ps

where

• n is the default value for table size (size is a n power of 2) for all gen routines that are not listed in the next argument ps.
• 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.

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).

Creates a new table. The Tab could be used while the instrument is playing. When the instrument is retriggered the new tab is allocated.

newTab size

Creates a new global table. It's generated only once. It's persisted between instrument calls.

newGlobalTab identifier size

Calculates the number of samples needed to store the given amount of seconds. It multiplies the value by the current sample rate.

Calculates the closest power of two value for a given size.

Calculates the closest power of two value in samples for a given size in seconds.

Loads wav or aiff file to table

wavs fileName skipTime channel

skipTime specifies from what second it should read the file.

with channel argument we can read left, right or both channels.

Load lossless stereo file to table.

Reads left channel of audio-file

Reads right channel of audio-file

Loads mp3 file to table:

mp3s fileName skipTime format

skipTime specifies from what second it should read the file.

format is: 1 - for mono files, 2 - for stereo files, 3 - for left channel of stereo file, 4 for right channel of stereo file

Reads left channel of mp3-file

Reads right channel of mp3-file

Reads mono of mp3-file

Reads numbers from file (GEN23)

csound doc: http://www.csounds.com/manual/html/GEN23.html

Reads trajectory from file (GEN28)

csound doc: http://www.csounds.com/manual/html/GEN28.html

Reads PVOCEX files (GEN43)

csound doc: http://www.csounds.com/manual/html/GEN43.html

readMultichannel — Creates an interleaved multichannel table from the specified source tables, in the format expected by the ftconv opcode (GEN52).

f # time size 52 nchannels fsrc1 offset1 srcchnls1 [fsrc2 offset2 srcchnls2 ... fsrcN offsetN srcchnlsN]

csound doc: http://www.csounds.com/manual/html/GEN52.html

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]

Specifies series of possibly inharmonic partials.

Just like sines3 but phases are set to zero.

Just like sines2 but partial strength is set to one.

Specifies series of possibly inharmonic partials with direct current.

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.

Sines with bandwidth (simplified padsynth generator)

bwSines harmonics bandwidth

Sines with bandwidth (simplified padsynth generator). Only odd harmonics are present

bwOddSines harmonics bandwidth

It's just like sines3 but inplace of pure sinewave it uses supplied in the first argument shape.

mixOnTab srcTable [(partialNumber, partialStrength, partialPahse)]

phahse is in range [0, 1]

It's like mixOnTab but it's more generic since we can mix not only one shape. But we can specify shape for each harmonic.

Csound's GEN33 — Generate composite waveforms by mixing simple sinusoids.

tabSines1 srcTab nh scl [fmode]

Csound docs: http://www.csounds.com/manual/html/GEN33.html

Csound's GEN34 — Generate composite waveforms by mixing simple sinusoids.

tabSines2 srcTab nh scl [fmode]

Csound docs: http://www.csounds.com/manual/html/GEN3.html

"wave" — Generates a compactly supported wavelet function.

waveletTab srcTab seq

Csound docs: http://www.csounds.com/manual/html/GENwave.html

"wave" — Generates a compactly supported wavelet function. The result table is rescaled.

waveletTab srcTab seq

Csound docs: http://www.csounds.com/manual/html/GENwave.html

Table for pure sine wave.

Table for pure cosine wave.

Table for sigmoid wave.

Table for sigmoid rise wave.

Table for sigmoid fall wave.

Creates tanh sigmoid. The argument is the radius of teh sigmoid.

Linear segments that form a singl cycle of triangle wave.

Linear segments that form a single cycle of sawtooth wave.

Linear segments that form a single cycle of square wave.

Pulse-width wave formed with linear segments. Duty cycle rages from 0 to 1. 0.5 is a square wave.

Tab with tanh from the given interval.

tanhTab (start, end)

Tab with tanh from the given interval. The table is rescaled.

rescaleTanhTab (start, end)

Tab with exponential from the given interval.

expTab (start, end)

Tab with exponential from the given interval. The table is rescaled.

rescaleExpTab (start, end)

Tab with sone from the given interval.

soneTab (start, end) equalpoint

• start, end -- first and last value to be stored. The points stored are uniformly spaced between these to the table size.
• equalpoint -- the point on the curve when the input and output values are equal.

Tab with sone from the given interval.

soneTab (start, end) equalpoint

• start, end -- first and last value to be stored. The points stored are uniformly spaced between these to the table size.
• equalpoint -- the point on the curve when the input and output values are equal.

"farey" — Fills a table with the Farey Sequence Fn of the integer n.

see details in Csound doc: http://www.csounds.com/manual/html/GENfarey.html

Notice that the arguments are reversed (in the haskell mindset)

fareyTab mode num

num -- the integer n for generating Farey Sequence Fn

mode -- integer to trigger a specific output to be written into the table:

• 0 -- outputs floating point numbers representing the elements of Fn.
• 1 -- outputs delta values of successive elements of Fn, useful for generating note durations for example.
• 2 -- outputs only the denominators of the integer ratios, useful for indexing other tables or instruments for example.
• 3 -- same as mode 2 but with normalised output.
• 4 -- same as mode 0 but with 1 added to each number, useful for generating tables for tuning opcodes, for example cps2pch.

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

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

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

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(type * dur))

• beg, end - end points of the segment
• dur - duration of the segment

tabseg -- Writes composite waveforms made up of pre-existing waveforms.

tabseg [(tab, amplitude, duration)]

Csound GEN18: http://www.csounds.com/manual/html/GEN18.html

Butnotice the difference with Csound we specify start and finish of writing but here we only specify the relative length of segments. Segments are arranged so that the start f next segment comes right after the end of the prev segment.

Linear segments in breakpoint fashion:

bpLins [x1, y1, x2, y2, ..., xN, yN]

csound docs: http://www.csounds.com/manual/html/GEN27.html

All x1, x2, .. should belong to the interval [0, 1]. The actual values are rescaled to fit the table size.

Exponential segments in breakpoint fashion:

bpExps [x1, y1, x2, y2, ..., xN, yN]

csound docs: http://www.csounds.com/manual/html/GEN25.html

All x1, x2, .. should belong to the interval [0, 1]. The actual values are rescaled to fit the table size.

Equally spaced constant segments.

econsts [a, b, c, ...]

is the same as

consts [a, 1, b, 1, c, ...]

Equally spaced segments of straight lines.

elins [a, b, c, ...]

is the same as

lins [a, 1, b, 1, c, ...]

Equally spaced segments of cubic polynomials.

ecubes [a, b, c, ...]

is the same as

cubes [a, 1, b, 1, c, ...]

Equally spaced segments of exponential curves.

eexps [a, b, c, ...]

is the same as

exps [a, 1, b, 1, c, ...]

Equally spaced spline curve.

esplines [a, b, c, ...]

is the same as

splines [a, 1, b, 1, c, ...]

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 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 + ...

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

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

Modified Bessel function of the second kind, order 0 (for amplitude modulated FM).

bessels xint

the function is defined within the interval [0, xint].

Uniform (positive numbers only)

Linear (positive numbers only)

Triangular (positive and negative numbers)

Exponential (positive numbers only)

Biexponential (positive and negative numbers)

Gaussian (positive and negative numbers)

Cauchy (positive and negative numbers)

Positive Cauchy (positive numbers only)

Beta (positive numbers only)

betaDist alpha beta

• alpha -- alpha value. If kalpha is smaller than one, smaller values favor values near 0.
• beta -- beta value. If kbeta is smaller than one, smaller values favor values near krange.

Weibull (positive numbers only)

• tau -- if greater than one, numbers near ksigma are favored. If smaller than one, small values are favored. If t equals 1, the distribution is exponential. Outputs only positive numbers.

Poisson (positive numbers only)

Generates a random distribution using a distribution histogram (GEN40).

Csound docs: http://www.csounds.com/manual/html/GEN40.html

randDist — Generates a random list of numerical pairs (GEN41).

randDist  [value1, prob1, value2, prob2, value3, prob3 ... valueN, probN]

The first number of each pair is a value, and the second is the probability of that value to be chosen by a random algorithm. Even if any number can be assigned to the probability element of each pair, it is suggested to give it a percent value, in order to make it clearer for the user.

This subroutine is designed to be used together with duserrnd and urd opcodes (see duserrnd for more information).

rangeDist — Generates a random distribution of discrete ranges of values (GEN42).

The first number of each group is a the minimum value of the range, the second is the maximum value and the third is the probability of that an element belonging to that range of values can be chosen by a random algorithm. Probabilities for a range should be a fraction of 1, and the sum of the probabilities for all the ranges should total 1.0.

This subroutine is designed to be used together with duserrnd and urd opcodes (see duserrnd for more information). Since both duserrnd and urd do not use any interpolation, it is suggested to give a size reasonably big.

The Hamming window. The peak equals to 1.

The Hanning window. The peak equals to 1.

The Bartlett window. The peak equals to 1.

The Blackman window. The peak equals to 1.

The Harris window. The peak equals to 1.

This creates a function that contains a Gaussian window with a maximum value of 1. The extra argument specifies how broad the window is, as the standard deviation of the curve; in this example the s.d. is 2. The default value is 1.

winGauss 2

This creates a function that contains a Kaiser window with a maximum value of 1. The extra argument specifies how "open" the window is, for example a value of 0 results in a rectangular window and a value of 10 in a Hamming like window.

winKaiser openness

The Rectangle window. The peak equals to 1.

The Sync window. The peak equals to 1.

Creates tables for the padsynth algorithm (described at http://www.paulnasca.com/algorithms-created-by-me). The table size should be very big the default is 18 power of 2.

csound docs: http://csound.github.io/docs/manual/GENpadsynth.html

Padsynth parameters.

see for details: http://csound.github.io/docs/manual/GENpadsynth.html

Specs for padsynth algorithm:

defPadsynthSpec partialBandwidth harmonics

• partialBandwidth -- bandwidth of the first partial.
• harmonics -- the list of amplitudes for harmonics.

Generates harmonic partials by analyzing an existing table.

tabHarmonics src minh maxh [ref_sr] [interp]

• src -- source ftable. It should be primitive ie constructed not with "ftgen" family of opcodes.
• minh -- lowest harmonic number
• maxh -- maxh -- highest harmonic number
• ref_sr (optional) -- maxh is scaled by (sr / ref_sr). The default value of ref_sr is sr. If ref_sr is zero or negative, it is now ignored.
• interp (optional) -- if non-zero, allows changing the amplitude of the lowest and highest harmonic partial depending on the fractional part of minh and maxh. For example, if maxh is 11.3 then the 12th harmonic partial is added with 0.3 amplitude. This parameter is zero by default.

GEN30 for Csound: http://www.csounds.com/manual/html/GEN30.html

Normalizing table

Csound GEN04: http://www.csounds.com/manual/html/GEN04.html

Creates a new table wich contains all values from the source table rescaled to the given interval.

scaleTab (minValue, maxValue) sourceTab

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.

Skips normalization (sets table size to negative value)

Force normalization (sets table size to positive value). Might be useful to restore normalization for table doubles.

Sets an absolute size value. As you can do it in the Csound files.

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.

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.

Sets degrees from -3 to 3.

Sets degrees from -3 to 3.

Sets degrees from -3 to 3.

Sets degrees from -3 to 3.

Sets degrees from -3 to 3.

Sets degrees from -3 to 3.

Sets degrees from -3 to 3.

Transforms phasor that is defined in seconds to relative phasor that ranges in 0 to 1.

Container list of tables

Writes tables in sequential locations.

This opcode writes to a table in sequential locations to and from an a-rate variable. Some thought is required before using it. It has at least two major, and quite different, applications which are discussed below.

kstart tablewa kfn, asig, koff

csound docs: http://www.csounds.com/manual/html/tablewa.html

tablew — Change the contents of existing function tables.

This opcode operates on existing function tables, changing their contents. tablew is for writing at k- or at a-rates, with the table number being specified at init time. Using tablew with i-rate signal and index values is allowed, but the specified data will always be written to the function table at k-rate, not during the initialization pass. The valid combinations of variable types are shown by the first letter of the variable names.

tablew asig, andx, ifn [, ixmode] [, ixoff] [, iwgmode]
tablew isig, indx, ifn [, ixmode] [, ixoff] [, iwgmode]
tablew ksig, kndx, ifn [, ixmode] [, ixoff] [, iwgmode]

csound doc: http://www.csounds.com/manual/html/tablew.html

Notice that this function is the same as tab, but it wraps the output in the SE-monad. So you can use the tab if your table is read-only and you can use readTab if you want to update the table and the order of read/write operation is important.

Fast table opcodes.

Fast table opcodes. Faster than table and tablew because don't allow wrap-around and limit and don't check index validity. Have been implemented in order to provide fast access to arrays. Support non-power of two tables (can be generated by any GEN function by giving a negative length value).

kr  tab  kndx, ifn[, ixmode]
ar  tab  xndx, ifn[, ixmode]

csound doc: http://www.csounds.com/manual/html/tab.html

Notice that this function is the same as table, but it wraps the output in the SE-monad. So you can use the table if your table is read-only and you can use readTable if you want to update the table and the order of read/write operation is important.

Accesses table values by direct indexing.

ares  table  andx, ifn [, ixmode] [, ixoff] [, iwrap]
ires  table  indx, ifn [, ixmode] [, ixoff] [, iwrap]
kres  table  kndx, ifn [, ixmode] [, ixoff] [, iwrap]

csound doc: http://www.csounds.com/manual/html/table.html

Notice that this function is the same as tablei, but it wraps the output in the SE-monad. So you can use the tablei if your table is read-only and you can use readTablei if you want to update the table and the order of read/write operation is important.

Accesses table values by direct indexing with cubic interpolation.

ares  table3  andx, ifn [, ixmode] [, ixoff] [, iwrap]
ires  table3  indx, ifn [, ixmode] [, ixoff] [, iwrap]
kres  table3  kndx, ifn [, ixmode] [, ixoff] [, iwrap]

csound doc: http://www.csounds.com/manual/html/table3.html

Notice that this function is the same as table3, but it wraps the output in the SE-monad. So you can use the table3 if your table is read-only and you can use readTable3 if you want to update the table and the order of read/write operation is important.

Accesses table values by direct indexing with linear interpolation.

ares  tablei  andx, ifn [, ixmode] [, ixoff] [, iwrap]
ires  tablei  indx, ifn [, ixmode] [, ixoff] [, iwrap]
kres  tablei  kndx, ifn [, ixmode] [, ixoff] [, iwrap]

csound doc: http://www.csounds.com/manual/html/tablei.html

tableikt — Provides k-rate control over table numbers.

k-rate control over table numbers. Function tables are read with linear interpolation. The standard Csound opcode tablei, when producing a k- or a-rate result, can only use an init-time variable to select the table number. tableikt accepts k-rate control as well as i-time. In all other respects they are similar to the original opcodes.

ares tableikt xndx, kfn [, ixmode] [, ixoff] [, iwrap]
kres tableikt kndx, kfn [, ixmode] [, ixoff] [, iwrap]

csound doc: http://www.csounds.com/manual/html/tableikt.html

tablekt — Provides k-rate control over table numbers.

k-rate control over table numbers. Function tables are read with linear interpolation. The standard Csound opcode table when producing a k- or a-rate result, can only use an init-time variable to select the table number. tablekt accepts k-rate control as well as i-time. In all other respects they are similar to the original opcodes.

ares tablekt xndx, kfn [, ixmode] [, ixoff] [, iwrap]
kres tablekt kndx, kfn [, ixmode] [, ixoff] [, iwrap]

csound doc: http://www.csounds.com/manual/html/tablekt.html

tablexkt — Reads function tables with linear, cubic, or sinc interpolation.

ares tablexkt xndx, kfn, kwarp, iwsize [, ixmode] [, ixoff] [, iwrap]

csound doc: http://www.csounds.com/manual/html/tablexkt.html

cuserrnd — Continuous USER-defined-distribution RaNDom generator.

Continuous USER-defined-distribution RaNDom generator.

aout cuserrnd kmin, kmax, ktableNum
iout cuserrnd imin, imax, itableNum
kout cuserrnd kmin, kmax, ktableNum

csound doc: http://www.csounds.com/manual/html/cuserrnd.html

the tab should be done with tabDist, randDist or rangeDist

duserrnd — Discrete USER-defined-distribution RaNDom generator.

Discrete USER-defined-distribution RaNDom generator.

aout duserrnd ktableNum
iout duserrnd itableNum
kout duserrnd ktableNum

csound doc: http://www.csounds.com/manual/html/duserrnd.html

the tab should be done with tabDist, randDist or rangeDist