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# Copyright(c) 1986 Association of Universities for Research in Astronomy Inc.
include <math/curfit.h>
include "curfitdef.h"
# CVACPTS -- Procedure to add a set of points to the normal equations.
# The inner products of the basis functions are calculated and
# accumulated into the CV_ORDER(cv) by CV_NCOEFF(cv) matrix MATRIX.
# The main diagonal of the matrix is stored in the first row of
# MATRIX followed by the remaining non-zero diagonals. This method
# of storage is particularly efficient for the large symmetric
# banded matrices produced during spline fits. The inner product
# of the basis functions and the data ordinates are stored in the
# CV_NCOEFF(cv)-vector VECTOR. The array LEFT stores the
# indices which show which elements of MATRIX and VECTOR are
# to receive the inner products.
procedure cvacpts (cv, x, y, w, npts, wtflag)
pointer cv # curve descriptor
real x[npts] # array of abcissa
real y[npts] # array of ordinates
real w[npts] # array of weights
int npts # number of data points
int wtflag # type of weighting
int i, ii, j, k
pointer sp
pointer vzptr, vindex, mzptr, mindex, bptr, bbptr
pointer bw, rows
begin
# increment the number of points
CV_NPTS(cv) = CV_NPTS(cv) + npts
# remove basis functions calculated by any previous cvrefit call
if (CV_BASIS(cv) != NULL) {
call mfree (CV_BASIS(cv), TY_REAL)
call mfree (CV_WY(cv), TY_REAL)
CV_BASIS(cv) = NULL
CV_WY(cv) = NULL
if (CV_LEFT(cv) != NULL) {
call mfree (CV_LEFT(cv), TY_INT)
CV_LEFT(cv) = NULL
}
}
# calculate weights
switch (wtflag) {
case WTS_UNIFORM:
call amovkr (real(1.0), w, npts)
case WTS_SPACING:
if (npts == 1)
w[1] = 1.
else
w[1] = abs (x[2] - x[1])
do i = 2, npts - 1
w[i] = abs (x[i+1] - x[i-1])
if (npts == 1)
w[npts] = 1.
else
w[npts] = abs (x[npts] - x[npts-1])
case WTS_USER:
# user supplied weights
case WTS_CHISQ:
# data assumed to be scaled to photons with Poisson statistics
do i = 1, npts {
if (y[i] > real(0.0))
w[i] = real(1.0) / y[i]
else if (y[i] < real(0.0))
w[i] = -real(1.0) / y[i]
else
w[i] = real(0.0)
}
default:
call amovkr (real(1.0), w, npts)
}
# allocate space for the basis functions
call smark (sp)
call salloc (CV_BASIS(cv), npts * CV_ORDER(cv), TY_REAL)
# calculate the non-zero basis functions
switch (CV_TYPE(cv)) {
case LEGENDRE:
call rcv_bleg (x, npts, CV_ORDER(cv), CV_MAXMIN(cv),
CV_RANGE(cv), BASIS(CV_BASIS(cv)))
case CHEBYSHEV:
call rcv_bcheb (x, npts, CV_ORDER(cv), CV_MAXMIN(cv),
CV_RANGE(cv), BASIS(CV_BASIS(cv)))
case SPLINE3:
call salloc (CV_LEFT(cv), npts, TY_INT)
call rcv_bspline3 (x, npts, CV_NPIECES(cv), -CV_XMIN(cv),
CV_SPACING(cv), BASIS(CV_BASIS(cv)),
LEFT(CV_LEFT(cv)))
case SPLINE1:
call salloc (CV_LEFT(cv), npts, TY_INT)
call rcv_bspline1 (x, npts, CV_NPIECES(cv), -CV_XMIN(cv),
CV_SPACING(cv), BASIS(CV_BASIS(cv)),
LEFT(CV_LEFT(cv)))
case USERFNC:
call rcv_buser (cv, x, npts)
}
# allocate temporary storage space for matrix accumulation
call salloc (bw, npts, TY_REAL)
call salloc (rows, npts, TY_INT)
# one index the pointers
vzptr = CV_VECTOR(cv) - 1
mzptr = CV_MATRIX(cv)
bptr = CV_BASIS(cv)
switch (CV_TYPE(cv)) {
case LEGENDRE, CHEBYSHEV, USERFNC:
# accumulate the new right side of the matrix equation
do k = 1, CV_ORDER(cv) {
call amulr (w, BASIS(bptr), Memr[bw], npts)
vindex = vzptr + k
do i = 1, npts
VECTOR(vindex) = VECTOR(vindex) + Memr[bw+i-1] * y[i]
bbptr = bptr
ii = 0
do j = k, CV_ORDER(cv) {
mindex = mzptr + ii
do i = 1, npts
MATRIX(mindex) = MATRIX(mindex) + Memr[bw+i-1] *
BASIS(bbptr+i-1)
ii = ii + 1
bbptr = bbptr + npts
}
bptr = bptr + npts
mzptr = mzptr + CV_ORDER(cv)
}
case SPLINE1,SPLINE3:
call amulki (LEFT(CV_LEFT(cv)), CV_ORDER(cv), Memi[rows], npts)
call aaddki (Memi[rows], CV_MATRIX(cv), Memi[rows], npts)
call aaddki (LEFT(CV_LEFT(cv)), vzptr, LEFT(CV_LEFT(cv)), npts)
# accumulate the new right side of the matrix equation
do k = 1, CV_ORDER(cv) {
call amulr (w, BASIS(bptr), Memr[bw], npts)
do i = 1, npts {
vindex = LEFT(CV_LEFT(cv)+i-1) + k
VECTOR(vindex) = VECTOR(vindex)+ Memr[bw+i-1] * y[i]
}
bbptr = bptr
ii = 0
do j = k, CV_ORDER(cv) {
do i = 1, npts {
mindex = Memi[rows+i-1] + ii
MATRIX(mindex) = MATRIX(mindex) + Memr[bw+i-1] *
BASIS(bbptr+i-1)
}
ii = ii + 1
bbptr = bbptr + npts
}
bptr = bptr + npts
call aaddki (Memi[rows], CV_ORDER(cv), Memi[rows], npts)
}
}
# release the space
call sfree (sp)
CV_BASIS(cv) = NULL
CV_LEFT(cv) = NULL
end
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