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# Copyright(c) 1986 Association of Universities for Research in Astronomy Inc.
# SF_EVCHEB -- Procedure to evaluate a Chebyshev polynomial assuming that
# the coefficients have been calculated.
procedure sf_evcheb (coeff, x, y, zfit, npts, xterms, xorder, yorder, k1x, k2x,
k1y, k2y)
real coeff[ARB] # 1D array of coefficients
real x[npts] # x values of points to be evaluated
real y[npts]
real zfit[npts] # the fitted points
int npts # number of points to be evaluated
int xterms # cross terms ?
int xorder,yorder # order of the polynomials in x and y
real k1x, k2x # normalizing constants
real k1y, k2y
int i, k, j
int ytorder, cptr
pointer sp
pointer xb, yb, accum
pointer ybzptr, ybptr, xbzptr
begin
# fit a constant
if (xorder == 1 && yorder == 1) {
call amovkr (coeff[1], zfit, npts)
return
}
# allocate temporary space for the basis functions
call smark (sp)
call salloc (xb, xorder * npts, TY_REAL)
call salloc (yb, yorder * npts, TY_REAL)
call salloc (accum, npts, TY_REAL)
# calculate basis functions
call sf_bcheb (x, npts, xorder, k1x, k2x, Memr[xb])
call sf_bcheb (y, npts, yorder, k1y, k2y, Memr[yb])
# clear the accumulator
call aclrr (zfit, npts)
# accumulate the values
cptr = 0
ybzptr = yb - 1
xbzptr = xb - 1
ytorder = yorder
do i = 1, xorder {
call aclrr (Memr[accum], npts)
ybptr = ybzptr
do k = 1, ytorder {
do j = 1, npts
Memr[accum+j-1] = Memr[accum+j-1] + coeff[cptr+k] *
Memr[ybptr+j]
ybptr = ybptr + npts
}
do j = 1, npts
zfit[j] = zfit[j] + Memr[accum+j-1] * Memr[xbzptr+j]
if (xterms == NO)
ytorder = 1
cptr = cptr + yorder
xbzptr = xbzptr + npts
}
# free temporary space
call sfree (sp)
end
# SF_EVLEG -- Procedure to evaluate a Chebyshev polynomial assuming that
# the coefficients have been calculated.
procedure sf_evleg (coeff, x, y, zfit, npts, xterms, xorder, yorder, k1x, k2x,
k1y, k2y)
real coeff[ARB] # 1D array of coefficients
real x[npts] # x values of points to be evaluated
real y[npts]
real zfit[npts] # the fitted points
int npts # number of points to be evaluated
int xterms # cross terms ?
int xorder,yorder # order of the polynomials in x and y
real k1x, k2x # normalizing constants
real k1y, k2y
int i, k, j
int ytorder, cptr
pointer sp
pointer xb, yb, accum
pointer ybzptr, ybptr, xbzptr
begin
# fit a constant
if (xorder == 1 && yorder == 1) {
call amovkr (coeff[1], zfit, npts)
return
}
# allocate temporary space for the basis functions
call smark (sp)
call salloc (xb, xorder * npts, TY_REAL)
call salloc (yb, yorder * npts, TY_REAL)
call salloc (accum, npts, TY_REAL)
# calculate basis functions
call sf_bleg (x, npts, xorder, k1x, k2x, Memr[xb])
call sf_bleg (y, npts, yorder, k1y, k2y, Memr[yb])
# clear the accumulator
call aclrr (zfit, npts)
# accumulate the values
cptr = 0
ybzptr = yb - 1
xbzptr = xb - 1
ytorder = yorder
do i = 1, xorder {
call aclrr (Memr[accum], npts)
ybptr = ybzptr
do k = 1, ytorder {
do j = 1, npts
Memr[accum+j-1] = Memr[accum+j-1] + coeff[cptr+k] *
Memr[ybptr+j]
ybptr = ybptr + npts
}
do j = 1, npts
zfit[j] = zfit[j] + Memr[accum+j-1] * Memr[xbzptr+j]
if (xterms == NO)
ytorder = 1
cptr = cptr + yorder
xbzptr = xbzptr + npts
}
# free temporary space
call sfree (sp)
end
# SF_EVSPLINE3 -- Procedure to evaluate a piecewise linear spline function
# assuming that the coefficients have been calculated.
procedure sf_evspline3 (coeff, x, y, zfit, npts, nxpieces, nypieces, k1x, k2x,
k1y, k2y)
real coeff[ARB] # array of coefficients
real x[npts] # array of x values
real y[npts] # array of y values
real zfit[npts] # array of fitted values
int npts # number of data points
int nxpieces, nypieces # number of fitted points minus 1
real k1x, k2x # normalizing constants
real k1y, k2y
int i, j, k, cindex
pointer xb, xbzptr, yb, ybzptr, ybptr
pointer accum, leftx, lefty
pointer sp
begin
# allocate temporary space for the basis functions
call smark (sp)
call salloc (xb, 4 * npts, TY_REAL)
call salloc (yb, 4 * npts, TY_REAL)
call salloc (accum, npts, TY_REAL)
call salloc (leftx, npts, TY_INT)
call salloc (lefty, npts, TY_INT)
# calculate basis functions
call sf_bspline3 (x, npts, nxpieces, k1x, k2x, Memr[xb], Memi[leftx])
call sf_bspline3 (y, npts, nypieces, k1y, k2y, Memr[yb], Memi[lefty])
# set up the indexing
call amulki (Memi[leftx], (nypieces+4), Memi[leftx], npts)
call aaddi (Memi[leftx], Memi[lefty], Memi[lefty], npts)
# clear the accumulator
call aclrr (zfit, npts)
# accumulate the values
ybzptr = yb - 1
xbzptr = xb - 1
do i = 1, 4 {
call aclrr (Memr[accum], npts)
ybptr = ybzptr
do k = 1, 4 {
do j = 1, npts {
cindex = k + Memi[lefty+j-1]
Memr[accum+j-1] = Memr[accum+j-1] + coeff[cindex] *
Memr[ybptr+j]
}
ybptr = ybptr + npts
}
do j = 1, npts
zfit[j] = zfit[j] + Memr[accum+j-1] * Memr[xbzptr+j]
xbzptr = xbzptr + npts
call aaddki (Memi[lefty], (nypieces+4), Memi[lefty], npts)
}
# free temporary space
call sfree (sp)
end
# SF_EVSPLINE1 -- Procedure to evaluate a piecewise linear spline function
# assuming that the coefficients have been calculated.
procedure sf_evspline1 (coeff, x, y, zfit, npts, nxpieces, nypieces, k1x, k2x,
k1y, k2y)
real coeff[ARB] # array of coefficients
real x[npts] # array of x values
real y[npts] # array of y values
real zfit[npts] # array of fitted values
int npts # number of data points
int nxpieces, nypieces # number of fitted points minus 1
real k1x, k2x # normalizing constants
real k1y, k2y
int i, j, k, cindex
pointer xb, xbzptr, yb, ybzptr, ybptr
pointer accum, leftx, lefty
pointer sp
begin
# allocate temporary space for the basis functions
call smark (sp)
call salloc (xb, 2 * npts, TY_REAL)
call salloc (yb, 2 * npts, TY_REAL)
call salloc (accum, npts, TY_REAL)
call salloc (leftx, npts, TY_INT)
call salloc (lefty, npts, TY_INT)
# calculate basis functions
call sf_bspline1 (x, npts, nxpieces, k1x, k2x, Memr[xb], Memi[leftx])
call sf_bspline1 (y, npts, nypieces, k1y, k2y, Memr[yb], Memi[lefty])
# set up the indexing
call amulki (Memi[leftx], (nypieces+2), Memi[leftx], npts)
call aaddi (Memi[leftx], Memi[lefty], Memi[lefty], npts)
# clear the accumulator
call aclrr (zfit, npts)
# accumulate the values
ybzptr = yb - 1
xbzptr = xb - 1
do i = 1, 2 {
call aclrr (Memr[accum], npts)
ybptr = ybzptr
do k = 1, 2 {
do j = 1, npts {
cindex = k + Memi[lefty+j-1]
Memr[accum+j-1] = Memr[accum+j-1] + coeff[cindex] *
Memr[ybptr+j]
}
ybptr = ybptr + npts
}
do j = 1, npts
zfit[j] = zfit[j] + Memr[accum+j-1] * Memr[xbzptr+j]
xbzptr = xbzptr + npts
call aaddki (Memi[lefty], (nypieces+2), Memi[lefty], npts)
}
# free temporary space
call sfree (sp)
end
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