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# Copyright(c) 1986 Association of Universities for Research in Astronomy Inc.
# GS_B1POL -- Procedure to evaluate all the non-zero polynomial functions
# for a single point and given order.
procedure $tgs_b1pol (x, order, k1, k2, basis)
PIXEL x # data point
int order # order of polynomial, order = 1, constant
PIXEL k1, k2 # nomalizing constants, dummy in this case
PIXEL basis[ARB] # basis functions
int i
begin
basis[1] = 1.
if (order == 1)
return
basis[2] = x
if (order == 2)
return
do i = 3, order
basis[i] = x * basis[i-1]
end
# GS_B1LEG -- Procedure to evaluate all the non-zero Legendre functions for
# a single point and given order.
procedure $tgs_b1leg (x, order, k1, k2, basis)
PIXEL x # data point
int order # order of polynomial, order = 1, constant
PIXEL k1, k2 # normalizing constants
PIXEL basis[ARB] # basis functions
int i
PIXEL ri, xnorm
begin
basis[1] = 1.
if (order == 1)
return
xnorm = (x + k1) * k2
basis[2] = xnorm
if (order == 2)
return
do i = 3, order {
ri = i
basis[i] = ((2. * ri - 3.) * xnorm * basis[i-1] -
(ri - 2.) * basis[i-2]) / (ri - 1.)
}
end
# GS_B1CHEB -- Procedure to evaluate all the non zero Chebyshev function
# for a given x and order.
procedure $tgs_b1cheb (x, order, k1, k2, basis)
PIXEL x # number of data points
int order # order of polynomial, 1 is a constant
PIXEL k1, k2 # normalizing constants
PIXEL basis[ARB] # array of basis functions
int i
PIXEL xnorm
begin
basis[1] = 1.
if (order == 1)
return
xnorm = (x + k1) * k2
basis[2] = xnorm
if (order == 2)
return
do i = 3, order
basis[i] = 2. * xnorm * basis[i-1] - basis[i-2]
end
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