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/*===========================================================================
Copyright (C) 2001 European Southern Observatory (ESO)
This program is free software; you can redistribute it and/or
modify it under the terms of the GNU General Public License as
published by the Free Software Foundation; either version 2 of
the License, or (at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public
License along with this program; if not, write to the Free
Software Foundation, Inc., 675 Massachusetss Ave, Cambridge,
MA 02139, USA.
Corresponding concerning ESO-MIDAS should be addressed as follows:
Internet e-mail: midas@eso.org
Postal address: European Southern Observatory
Data Management Division
Karl-Schwarzschild-Strasse 2
D 85748 Garching bei Muenchen
GERMANY
===========================================================================*/
/*-------------------------------------------------------------------------*/
/**
* @defgroup flames_getordslope Substep: Get the order slope
*
*/
/*-------------------------------------------------------------------------*/
#ifdef HAVE_CONFIG_H
# include <config.h>
#endif
#include <math.h>
#include <flames_midas_def.h>
#include <flames_uves.h>
#include <flames_getordslope.h>
#include <flames_newmatrix.h>
/**@{*/
/*---------------------------------------------------------------------------
Implementation
---------------------------------------------------------------------------*/
/**
@name flames_getordslope()
@short Get the order slope
@author G. Mulas - ITAL_FLAMES Consortium. Ported to CPL by A. Modigliani
@param ordpos pointer to orderpos
@param m order value
@param x order position
@param slope Output (order) slope
@return success or failure code
DRS Functions called:
singlecorrel
dvector
free_dvector
Pseudocode:
Use polynomial coefficients to get the order slope
@doc
the following function calculates the slope of the
center of a given order "m" at a given "x",
and returns it in the double variable to which "slope" points.
Beware: both "m" and "n" are double!
*/
flames_err
get_ordslope(
orderpos *ordpos,
double m,
double x,
double *slope)
{
/*TO DO: check for sanity of the input parameters m and x? */
int ordx=0;
int ordm=0;
double *xpowers=0;
double *mpowers=0;
mpowers = dvector(0, ordpos->mdegree);
xpowers = dvector(0, ordpos->xdegree);
/* build the vectors of powers */
mpowers[0] = xpowers[1] = 1;
for (ordm=1; ordm <= ordpos->mdegree; ordm++) {
mpowers[ordm] = mpowers[ordm-1]*m;
}
/* compute directly derivatives of x powers */
for (ordx=2; ordx <= ordpos->xdegree; ordx++) {
xpowers[ordx] = xpowers[ordx-1]*x*(double)ordx;
//xpowers[ordx] = xpowers[ordx-1]*(doubflames_getordslope.cle)ordx;
}
/* initialise the slope */
*slope=0;
/* loop over powers of the polynomial. If the order of the polynomial
is 0 in x, the loop is never actually executed */
if(ordpos->xdegree >= 1) {
/* treat the linear part in x separately, in order to avoid stupid
undeterminations in the case 0^0 */
*slope += ordpos->orderpol[0][1];
for (ordm=1; ordm <= ordpos->mdegree; ordm++) {
*slope += ordpos->orderpol[ordm][1]*mpowers[ordm];
}
for (ordx=2; ordx <= ordpos->xdegree && ordx<=2; ordx++) {
// for (ordx=2; ordx <= ordpos->xdegree; ordx++) {
*slope += ((ordpos->orderpol)[0][ordx])*xpowers[ordx];
for (ordm=1; ordm <= ordpos->mdegree; ordm++) {
/* add the contribution of each power to the order slope */
*slope += ordpos->orderpol[ordm][ordx]*xpowers[ordx]*mpowers[ordm];
}
}
}
free_dvector(mpowers, 0, ordpos->mdegree);
free_dvector(xpowers, 0, ordpos->xdegree);
return(NOERR);
}
/**@}*/
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