CLN etc Instructions

CLN cseries start end newcseries newstart

CEXP cseries start end newcseries newstart

CONJUGATE cseries start end newcseries newstart

CSQRT cseries start end newcseries newstart

CMVE cseries start end newcseries newstart

CSCALE( option ) cseries start end newcseries newstart

Respectively, these take the complex log(e), complex exponential, complex conjugate, and complex square root of a series; copy data from one series to another; and scale complex series by a constant.

Parameters

cseries	source series
start, end	range to transform, by default, range of cseries
newcseries	result series, by default, overwrites cseries
newcstart	start for newcseries, by default, start

Options (for CSCALE only)

SCALE=real expression

CSCALE multiplies each entry of cseries by the value of the real expression to procedure newcseries.

Example

This is a segment of the procedure @SPECFORE, which computes forecasts using spectral methods. It takes the log of series 3 (a spectral density), applies an inverse transform to the series, sets its negative "lags" to zero, transforms the series back, then exponentiates the series and inverse transforms it again. The CSET instruction at the end normalizes series 3 to a value of 1.0 in entry 1.

cln 3

ift 3

cset 3 = %z(t,3)*(t<=ordinate/2)

fft 3

cexp 3

ift 3

cset(scratch) 3 = %z(t,3)/%z(1,3)