1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
|
# Copyright(c) 1986 Association of Universities for Research in Astronomy Inc.
include <math/surfit.h>
include "surfitdef.h"
# ISINIT -- Procedure to set up the surface descriptor.
procedure isinit (sf, surf_type, xorder, yorder, xterms, ncols, nlines)
pointer sf # pointer to surface descriptor structure
int surf_type # type of surface to be fitted
int xorder # x order of surface to be fit, or in the case of the
# spline the number of polynomial pieces in x to be fit
int yorder # y order of surface to be fit, or in the case of the
# spline the number of polynomial pieces in y to be fit
int xterms # cross terms for polynomials?
int ncols # number of columns in the surface
int nlines # number of lines in the surface
int i
pointer x, y
pointer sp
errchk malloc, calloc
begin
# allocate space for the surface descriptor
call malloc (sf, LEN_SFSTRUCT, TY_STRUCT)
if (xorder < 1 || yorder < 1)
call error (0, "SFLINIT: Illegal order.")
if (ncols < 1)
call error (0, "SFLINIT: x data range is 0.")
if (nlines < 1)
call error (0, "SFLINIT: y data range is 0.")
switch (surf_type) {
case SF_CHEBYSHEV, SF_LEGENDRE:
SF_NXCOEFF(sf) = xorder
SF_XORDER(sf) = xorder
SF_XRANGE(sf) = 2. / real (ncols + 1)
SF_XMAXMIN(sf) = - real (ncols + 1) / 2.
SF_XMIN(sf) = 0.
SF_XMAX(sf) = real (ncols + 1)
SF_NYCOEFF(sf) = yorder
SF_YORDER(sf) = yorder
SF_YRANGE(sf) = 2. / real (nlines + 1)
SF_YMAXMIN(sf) = - real (nlines + 1) / 2.
SF_YMIN(sf) = 0.
SF_YMAX(sf) = real (nlines + 1)
SF_XTERMS(sf) = xterms
case SF_SPLINE3:
SF_NXCOEFF(sf) = (xorder + SPLINE3_ORDER - 1)
SF_XORDER(sf) = SPLINE3_ORDER
SF_NXPIECES(sf) = xorder - 1
SF_XSPACING(sf) = xorder / real (ncols + 1)
SF_NYCOEFF(sf) = (yorder + SPLINE3_ORDER - 1)
SF_YORDER(sf) = SPLINE3_ORDER
SF_NYPIECES(sf) = yorder - 1
SF_YSPACING(sf) = yorder / real (nlines + 1)
SF_XMIN(sf) = 0.
SF_XMAX(sf) = real (ncols + 1)
SF_YMIN(sf) = 0.
SF_YMAX(sf) = real (nlines + 1)
SF_XTERMS(sf) = YES
case SF_SPLINE1:
SF_NXCOEFF(sf) = (xorder + SPLINE1_ORDER - 1)
SF_XORDER(sf) = SPLINE1_ORDER
SF_NXPIECES(sf) = xorder - 1
SF_XSPACING(sf) = xorder / real (ncols + 1)
SF_NYCOEFF(sf) = (yorder + SPLINE1_ORDER - 1)
SF_YORDER(sf) = SPLINE1_ORDER
SF_NYPIECES(sf) = yorder - 1
SF_YSPACING(sf) = yorder / real (nlines + 1)
SF_XMIN(sf) = 0.
SF_XMAX(sf) = real (ncols + 1)
SF_YMIN(sf) = 0.
SF_YMAX(sf) = real (nlines + 1)
SF_XTERMS(sf) = YES
default:
call error (0, "SFINIT: Unknown surface type.")
}
SF_TYPE(sf) = surf_type
SF_NLINES(sf) = nlines
SF_NCOLS(sf) = ncols
# allocate space for the matrix and vectors
call calloc (SF_XBASIS(sf), SF_XORDER(sf) * SF_NCOLS(sf),
MEM_TYPE)
call calloc (SF_YBASIS(sf), SF_YORDER(sf) * SF_NLINES(sf),
MEM_TYPE)
call calloc (SF_XMATRIX(sf), SF_XORDER(sf) * SF_NXCOEFF(sf), MEM_TYPE)
call calloc (SF_XCOEFF(sf), SF_NLINES(sf) * SF_NXCOEFF(sf), MEM_TYPE)
call calloc (SF_YMATRIX(sf), SF_YORDER(sf) * SF_NYCOEFF(sf), MEM_TYPE)
call calloc (SF_COEFF(sf), SF_NXCOEFF(sf) * SF_NYCOEFF(sf), MEM_TYPE)
# allocate temporary space
call smark (sp)
call salloc (x, SF_NCOLS(sf), MEM_TYPE)
call salloc (y, SF_NLINES(sf), MEM_TYPE)
# calculate all possible x basis functions and store
do i = 1, SF_NCOLS(sf)
Memr[x+i-1] = i
switch (SF_TYPE(sf)) {
case SF_LEGENDRE:
SF_XLEFT(sf) = NULL
call sf_bleg (Memr[x], SF_NCOLS(sf), SF_XORDER(sf), SF_XMAXMIN(sf),
SF_XRANGE(sf), XBASIS(SF_XBASIS(sf)))
case SF_CHEBYSHEV:
SF_XLEFT(sf) = NULL
call sf_bcheb (Memr[x], SF_NCOLS(sf), SF_XORDER(sf), SF_XMAXMIN(sf),
SF_XRANGE(sf), XBASIS(SF_XBASIS(sf)))
case SF_SPLINE3:
call calloc (SF_XLEFT(sf), SF_NCOLS(sf), TY_INT)
call sf_bspline3 (Memr[x], SF_NCOLS(sf), SF_NXPIECES(sf),
-SF_XMIN(sf), SF_XSPACING(sf), XBASIS(SF_XBASIS(sf)),
XLEFT(SF_XLEFT(sf)))
case SF_SPLINE1:
call calloc (SF_XLEFT(sf), SF_NCOLS(sf), TY_INT)
call sf_bspline1 (Memr[x], SF_NCOLS(sf), SF_NXPIECES(sf),
-SF_XMIN(sf), SF_XSPACING(sf), XBASIS(SF_XBASIS(sf)),
XLEFT(SF_XLEFT(sf)))
}
# calculate all possible y basis functions and store
do i = 1, SF_NLINES(sf)
Memr[y+i-1] = i
switch (SF_TYPE(sf)) {
case SF_LEGENDRE:
SF_YLEFT(sf) = NULL
call sf_bleg (Memr[y], SF_NLINES(sf), SF_YORDER(sf),
SF_YMAXMIN(sf), SF_YRANGE(sf), YBASIS(SF_YBASIS(sf)))
case SF_CHEBYSHEV:
SF_YLEFT(sf) = NULL
call sf_bcheb (Memr[y], SF_NLINES(sf), SF_YORDER(sf),
SF_YMAXMIN(sf), SF_YRANGE(sf), YBASIS(SF_YBASIS(sf)))
case SF_SPLINE3:
call calloc (SF_YLEFT(sf), SF_NLINES(sf), TY_INT)
call sf_bspline3 (Memr[y], SF_NLINES(sf), SF_NYPIECES(sf),
-SF_YMIN(sf), SF_YSPACING(sf), YBASIS(SF_YBASIS(sf)),
YLEFT(SF_YLEFT(sf)))
case SF_SPLINE1:
call calloc (SF_YLEFT(sf), SF_NLINES(sf), TY_INT)
call sf_bspline1 (Memr[y], SF_NLINES(sf), SF_NYPIECES(sf),
-SF_YMIN(sf), SF_YSPACING(sf), YBASIS(SF_YBASIS(sf)),
YLEFT(SF_YLEFT(sf)))
}
SF_WZ(sf) = NULL
SF_TLEFT(sf) = NULL
call sfree (sp)
end
|
