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## GEN15

` `**f** # time size 15 xint xamp h0 phs0 h1 phs1 h2 phs2 . . .

__DESCRIPTION__

This subroutine creates two tables of stored polynomial functions, suitable
for use in phase quadrature operations.

__INITIALIZATION__

*size *- number of points in the table. Must be a power of 2 or
a power-of-2 plus 1 ( see f statement).
The normal value is power-of-2 plus 1.

*xint* - provides the left and right values [*-xint, +xint]*
of the *x* interval over which the polynomial is to be drawn. This
subroutine will eventually call **GEN03** to draw
both functions; this p5 value is therefor expanded to a negative-positive
p5, p6 pair before **GEN03** is actually called.
The normal value is 1.

*xamp *- amplitude scaling factor of the sinusoid input that is
expected to produce the following spectrum.

*h0, h1, h2, ... hn* - relative strength of partials 0 (DC), 1
(fundamental), 2 ... that will result when a sinusoid of amplitude *xamp
* int(size/2)/xint* is waveshaped using this function table. These values
thus describe a frequency spectrum associated with a particular factor
*xamp* of the input signal.

*phs0, phs1, ... *- phase in degrees of desired harmonics *h0,
h1, ...* when the two functions of GEN15 are used with phase quadrature.

**Note:**

**GEN15** creates two tables of equal size, labelled **f **# and
**f** # + 1. Table # will contain a Chebyshev function of the first
kind, drawn using **GEN03** with partial strengths
*h0cos(phs0), h1cos(phs1), ...* Table #+1 will contain a Chebyshev
function of the 2nd kind by calling **GEN14** with
partials *h1sin(phs1), h2sin(phs2),...* (note the harmonic displacement).
The two tables can be used in conjunction in a waveshaping network that
exploits phase quadrature.

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*HTML Csound Manual - ©
Jean Piché & Peter J. Nix, 1994-97*