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#ifndef
lint
static
char
*
RCSid
() {
return
RCSid
(
"$Id: plot3d.c,v 1.20.2.6 2000/10/24 18:58:12 broeker Exp $"
); }
#endif
/* GNUPLOT - plot3d.c */
/*[
* Copyright 1986 - 1993, 1998 Thomas Williams, Colin Kelley
*
* Permission to use, copy, and distribute this software and its
* documentation for any purpose with or without fee is hereby granted,
* provided that the above copyright notice appear in all copies and
* that both that copyright notice and this permission notice appear
* in supporting documentation.
*
* Permission to modify the software is granted, but not the right to
* distribute the complete modified source code. Modifications are to
* be distributed as patches to the released version. Permission to
* distribute binaries produced by compiling modified sources is granted,
* provided you
* 1. distribute the corresponding source modifications from the
* released version in the form of a patch file along with the binaries,
* 2. add special version identification to distinguish your version
* in addition to the base release version number,
* 3. provide your name and address as the primary contact for the
* support of your modified version, and
* 4. retain our contact information in regard to use of the base
* software.
* Permission to distribute the released version of the source code along
* with corresponding source modifications in the form of a patch file is
* granted with same provisions 2 through 4 for binary distributions.
*
* This software is provided "as is" without express or implied warranty
* to the extent permitted by applicable law.
]*/
#include
"plot3d.h"
#include
"gp_types.h"
#include
"alloc.h"
#include
"axis.h"
#include
"binary.h"
#include
"command.h"
#include
"contour.h"
#include
"datafile.h"
#include
"graph3d.h"
#include
"internal.h"
#include
"misc.h"
#include
"parse.h"
/* #include "setshow.h" */
#include
"term_api.h"
#include
"util.h"
#ifdef
THIN_PLATE_SPLINES_GRID
#include
"matrix.h"
#endif
#ifndef
_Windows
# include
"help.h"
#endif
/* global variables exported by this module */
t_data_mapping
mapping3d
=
MAP3D_CARTESIAN
;
int
dgrid3d_row_fineness
=
10
;
int
dgrid3d_col_fineness
=
10
;
int
dgrid3d_norm_value
=
1
;
TBOOLEAN
dgrid3d
=
FALSE;
/* static prototypes */
static
void
calculate_set_of_isolines
__PROTO
((
AXIS_INDEX
value_axis
,
TBOOLEAN
cross
,
struct
iso_curve
*
*
this_iso
,
AXIS_INDEX
iso_axis
,
double
iso_min
,
double
iso_step
,
int
num_iso_to_use
,
AXIS_INDEX
sam_axis
,
double
sam_min
,
double
sam_step
,
int
num_sam_to_use
));
static
void
get_3ddata
__PROTO
((
struct
surface_points
*
this_plot
));
static
void
print_3dtable
__PROTO
((
int
pcount
));
static
void
eval_3dplots
__PROTO
((
void
));
static
void
grid_nongrid_data
__PROTO
((
struct
surface_points
*
this_plot
));
static
void
parametric_3dfixup
__PROTO
((
struct
surface_points
*
start_plot
,
int
*
plot_num
));
static
struct
surface_points
*
sp_alloc
__PROTO
((
int
num_samp_1
,
int
num_iso_1
,
int
num_samp_2
,
int
num_iso_2
));
static
void
sp_replace
__PROTO
((
struct
surface_points
*
sp
,
int
num_samp_1
,
int
num_iso_1
,
int
num_samp_2
,
int
num_iso_2
));
/* the curves/surfaces of the plot */
struct
surface_points
*
first_3dplot
=
NULL
;
static
struct
udft_entry
plot_func
;
int
plot3d_num
=
0
;
/* HBB 20000508: moved these functions to the only module that uses them
* so they can be turned 'static' */
/*
* sp_alloc() allocates a surface_points structure that can hold 'num_iso_1'
* iso-curves with 'num_samp_2' samples and 'num_iso_2' iso-curves with
* 'num_samp_1' samples.
* If, however num_iso_2 or num_samp_1 is zero no iso curves are allocated.
*/
static
struct
surface_points
*
sp_alloc
(
num_samp_1
,
num_iso_1
,
num_samp_2
,
num_iso_2
)
int
num_samp_1
,
num_iso_1
,
num_samp_2
,
num_iso_2
;
{
struct
surface_points
*
sp
;
sp
=
(
struct
surface_points
*
)
gp_alloc
(
sizeof
(
struct
surface_points
),
"surface"
);
sp
->
next_sp
=
NULL
;
sp
->
title
=
NULL
;
sp
->
contours
=
NULL
;
sp
->
iso_crvs
=
NULL
;
sp
->
num_iso_read
=
0
;
if
(
num_iso_2
>
0
&&
num_samp_1
>
0
) {
int
i
;
struct
iso_curve
*
icrv
;
for
(
i
=
0
;
i
<
num_iso_1
;
i
++
) {
icrv
=
iso_alloc
(
num_samp_2
);
icrv
->
next
=
sp
->
iso_crvs
;
sp
->
iso_crvs
=
icrv
;
}
for
(
i
=
0
;
i
<
num_iso_2
;
i
++
) {
icrv
=
iso_alloc
(
num_samp_1
);
icrv
->
next
=
sp
->
iso_crvs
;
sp
->
iso_crvs
=
icrv
;
}
}
else
sp
->
iso_crvs
=
(
struct
iso_curve
*
)
NULL
;
return
(
sp
);
}
/*
* sp_replace() updates a surface_points structure so it can hold 'num_iso_1'
* iso-curves with 'num_samp_2' samples and 'num_iso_2' iso-curves with
* 'num_samp_1' samples.
* If, however num_iso_2 or num_samp_1 is zero no iso curves are allocated.
*/
static
void
sp_replace
(
sp
,
num_samp_1
,
num_iso_1
,
num_samp_2
,
num_iso_2
)
struct
surface_points
*
sp
;
int
num_samp_1
,
num_iso_1
,
num_samp_2
,
num_iso_2
;
{
int
i
;
struct
iso_curve
*
icrv
,
*
icrvs
=
sp
->
iso_crvs
;
while
(
icrvs
) {
icrv
=
icrvs
;
icrvs
=
icrvs
->
next
;
iso_free
(
icrv
);
}
sp
->
iso_crvs
=
NULL
;
if
(
num_iso_2
>
0
&&
num_samp_1
>
0
) {
for
(
i
=
0
;
i
<
num_iso_1
;
i
++
) {
icrv
=
iso_alloc
(
num_samp_2
);
icrv
->
next
=
sp
->
iso_crvs
;
sp
->
iso_crvs
=
icrv
;
}
for
(
i
=
0
;
i
<
num_iso_2
;
i
++
) {
icrv
=
iso_alloc
(
num_samp_1
);
icrv
->
next
=
sp
->
iso_crvs
;
sp
->
iso_crvs
=
icrv
;
}
}
else
sp
->
iso_crvs
=
(
struct
iso_curve
*
)
NULL
;
}
/*
* sp_free() releases any memory which was previously malloc()'d to hold
* surface points.
*/
/* HBB 20000506: don't risk stack havoc by recursion, use iterative list
* cleanup unstead */
void
sp_free
(
sp
)
struct
surface_points
*
sp
;
{
while
(
sp
) {
struct
surface_points
*
next
=
sp
->
next_sp
;
if
(
sp
->
title
)
free
(
sp
->
title
);
while
(
sp
->
contours
) {
struct
gnuplot_contours
*
next_cntrs
=
sp
->
contours
->
next
;
free
(
sp
->
contours
->
coords
);
free
(
sp
->
contours
);
sp
->
contours
=
next_cntrs
;
}
while
(
sp
->
iso_crvs
) {
struct
iso_curve
*
next_icrvs
=
sp
->
iso_crvs
->
next
;
iso_free
(
sp
->
iso_crvs
);
sp
->
iso_crvs
=
next_icrvs
;
}
free
(
sp
);
sp
=
next
;
}
}
/* support for dynamic size of input line */
void
plot3drequest
()
/*
* in the parametric case we would say splot [u= -Pi:Pi] [v= 0:2*Pi] [-1:1]
* [-1:1] [-1:1] sin(v)*cos(u),sin(v)*cos(u),sin(u) in the non-parametric
* case we would say only splot [x= -2:2] [y= -5:5] sin(x)*cos(y)
*
*/
{
int
dummy_token0
=
-1
,
dummy_token1
=
-1
;
AXIS_INDEX
u_axis
,
v_axis
;
is_3d_plot
=
TRUE;
if
(
parametric
&&
strcmp
(
set_dummy_var
[
0
],
"t"
)
==
0
) {
strcpy
(
set_dummy_var
[
0
],
"u"
);
strcpy
(
set_dummy_var
[
1
],
"v"
);
}
/* put stuff into arrays to simplify access */
AXIS_INIT3D
(
FIRST_X_AXIS
,
0
,
0
);
AXIS_INIT3D
(
FIRST_Y_AXIS
,
0
,
0
);
AXIS_INIT3D
(
FIRST_Z_AXIS
,
0
,
1
);
AXIS_INIT3D
(
U_AXIS
,
1
,
0
);
AXIS_INIT3D
(
V_AXIS
,
1
,
0
);
if
(!
term
)
/* unknown */
int_error
(
c_token
,
"use 'set term' to set terminal type first"
);
u_axis
=
(
parametric
?
U_AXIS
:
FIRST_X_AXIS
);
v_axis
=
(
parametric
?
V_AXIS
:
FIRST_Y_AXIS
);
PARSE_NAMED_RANGE
(
u_axis
,
dummy_token0
);
PARSE_NAMED_RANGE
(
v_axis
,
dummy_token1
);
if
(
parametric
) {
PARSE_RANGE
(
FIRST_X_AXIS
);
PARSE_RANGE
(
FIRST_Y_AXIS
);
}
/* parametric */
PARSE_RANGE
(
FIRST_Z_AXIS
);
CHECK_REVERSE
(
FIRST_X_AXIS
);
CHECK_REVERSE
(
FIRST_Y_AXIS
);
CHECK_REVERSE
(
FIRST_Z_AXIS
);
/* use the default dummy variable unless changed */
if
(
dummy_token0
>=
0
)
copy_str
(
c_dummy_var
[
0
],
dummy_token0
,
MAX_ID_LEN
);
else
(
void
)
strcpy
(
c_dummy_var
[
0
],
set_dummy_var
[
0
]);
if
(
dummy_token1
>=
0
)
copy_str
(
c_dummy_var
[
1
],
dummy_token1
,
MAX_ID_LEN
);
else
(
void
)
strcpy
(
c_dummy_var
[
1
],
set_dummy_var
[
1
]);
eval_3dplots
();
}
#ifdef
THIN_PLATE_SPLINES_GRID
static
double
splines_kernel
__PROTO
((
double
h
));
/* HBB 991025 FIXME: these don't belong in here --> move to 'matrix' */
static
void
lu_decomp
__PROTO
((
double
*
*
,
int
,
int
*
,
double
*
));
static
void
lu_backsubst
__PROTO
((
double
*
*
,
int
n
,
int
*
,
double
*
));
static
double
splines_kernel
(
h
)
double
h
;
{
/* this is normaly not usefull ... */
h
=
fabs
(
h
);
if
(
h
!=
0.0
) {
return
h
*
h
*
log
(
h
);
}
else
{
return
0
;
}
}
#define
Swap
(
a
,
b
) {double tmp; tmp=a; a=b; b=tmp;}
static
void
lu_decomp
(
a
,
n
,
indx
,
d
)
double
*
*
a
;
int
n
;
int
*
indx
;
double
*
d
;
{
int
i
,
imax
=
-1
,
j
,
k
;
/* HBB: added initial value, to shut up gcc -Wall */
double
large
,
dummy
,
temp
,
*
*
ar
,
*
*
lim
,
*
limc
,
*
ac
,
*
dp
,
*
vscal
;
dp
=
vscal
=
vec
(
n
);
*
d
=
1.0
;
for
(
ar
=
a
,
lim
=
&
(
a
[
n
]);
ar
<
lim
;
ar
++
) {
large
=
0.0
;
for
(
ac
=
*
ar
,
limc
=
&
(
ac
[
n
]);
ac
<
limc
;)
if
((
temp
=
fabs
(
*
ac
++
))
>
large
)
large
=
temp
;
if
(
large
==
0.0
)
int_error
(
NO_CARET
,
"Singular matrix in LU-DECOMP"
);
*
dp
++
=
1
/
large
;
}
ar
=
a
;
for
(
j
=
0
;
j
<
n
;
j
++
,
ar
++
) {
for
(
i
=
0
;
i
<
j
;
i
++
) {
ac
=
&
(
a
[
i
][
j
]);
for
(
k
=
0
;
k
<
i
;
k
++
)
*
ac
-=
a
[
i
][
k
]
*
a
[
k
][
j
];
}
large
=
0.0
;
dp
=
&
(
vscal
[
j
]);
for
(
i
=
j
;
i
<
n
;
i
++
) {
ac
=
&
(
a
[
i
][
j
]);
for
(
k
=
0
;
k
<
j
;
k
++
)
*
ac
-=
a
[
i
][
k
]
*
a
[
k
][
j
];
if
((
dummy
=
*
dp
++
*
fabs
(
*
ac
)) >=
large
) {
large
=
dummy
;
imax
=
i
;
}
}
if
(
j
!=
imax
) {
ac
=
a
[
imax
];
dp
=
*
ar
;
for
(
k
=
0
;
k
<
n
;
k
++
,
ac
++
,
dp
++
)
Swap
(
*
ac
,
*
dp
);
*
d
=
-
(
*
d
);
vscal
[
imax
]
=
vscal
[
j
];
}
indx
[
j
]
=
imax
;
if
(
*
(
dp
=
&
(
*
ar
)[
j
])
==
0
)
*
dp
=
1e-30
;
if
(
j
!=
n
-
1
) {
dummy
=
1
/ (
*
ar
)[
j
];
for
(
i
=
j
+
1
;
i
<
n
;
i
++
)
a
[
i
][
j
] *=
dummy
;
}
}
free
(
vscal
);
}
static
void
lu_backsubst
(
a
,
n
,
indx
,
b
)
double
*
*
a
;
int
n
;
int
*
indx
;
double
*
b
;
{
int
i
,
memi
=
-1
,
ip
,
j
;
double
sum
,
*
bp
,
*
bip
,
*
*
ar
,
*
ac
;
ar
=
a
;
for
(
i
=
0
;
i
<
n
;
i
++
,
ar
++
) {
ip
=
indx
[
i
];
sum
=
b
[
ip
];
b
[
ip
]
=
b
[
i
];
if
(
memi
>=
0
) {
ac
=
&
((
*
ar
)[
memi
]);
bp
=
&
(
b
[
memi
]);
for
(
j
=
memi
;
j
<=
i
-
1
;
j
++
)
sum
-=
*
ac
++
*
*
bp
++
;
}
else
if
(
sum
)
memi
=
i
;
b
[
i
]
=
sum
;
}
ar
--
;
for
(
i
=
n
-
1
;
i
>=
0
;
i
--
) {
ac
=
&
(
*
ar
)[
i
+
1
];
bp
=
&
(
b
[
i
+
1
]);
bip
=
&
(
b
[
i
]);
for
(
j
=
i
+
1
;
j
<
n
;
j
++
)
*
bip
-=
*
ac
++
*
*
bp
++
;
*
bip
/= (
*
ar
--
)[
i
];
}
}
#endif
static
void
grid_nongrid_data
(
this_plot
)
struct
surface_points
*
this_plot
;
{
int
i
,
j
,
k
;
double
x
,
y
,
z
,
w
,
dx
,
dy
,
xmin
,
xmax
,
ymin
,
ymax
;
struct
iso_curve
*
old_iso_crvs
=
this_plot
->
iso_crvs
;
struct
iso_curve
*
icrv
,
*
oicrv
,
*
oicrvs
;
#ifdef
THIN_PLATE_SPLINES_GRID
double
*
b
,
*
*
K
,
*
xx
,
*
yy
,
*
zz
,
d
;
int
*
indx
,
numpoints
;
#endif
/* Compute XY bounding box on the original data. */
xmin
=
xmax
=
old_iso_crvs
->
points
[
0
].
x
;
ymin
=
ymax
=
old_iso_crvs
->
points
[
0
].
y
;
for
(
icrv
=
old_iso_crvs
;
icrv
!=
NULL
;
icrv
=
icrv
->
next
) {
struct
coordinate
GPHUGE
*
points
=
icrv
->
points
;
for
(
i
=
0
;
i
<
icrv
->
p_count
;
i
++
,
points
++
) {
if
(
xmin
>
points
->
x
)
xmin
=
points
->
x
;
if
(
xmax
<
points
->
x
)
xmax
=
points
->
x
;
if
(
ymin
>
points
->
y
)
ymin
=
points
->
y
;
if
(
ymax
<
points
->
y
)
ymax
=
points
->
y
;
}
}
dx
=
(
xmax
-
xmin
) / (
dgrid3d_col_fineness
-
1
);
dy
=
(
ymax
-
ymin
) / (
dgrid3d_row_fineness
-
1
);
/* Create the new grid structure, and compute the low pass filtering from
* non grid to grid structure.
*/
this_plot
->
iso_crvs
=
NULL
;
this_plot
->
num_iso_read
=
dgrid3d_col_fineness
;
this_plot
->
has_grid_topology
=
TRUE;
#ifdef
THIN_PLATE_SPLINES_GRID
numpoints
=
0
;
for
(
oicrv
=
old_iso_crvs
;
oicrv
!=
NULL
;
oicrv
=
oicrv
->
next
) {
numpoints
+=
oicrv
->
p_count
;
}
xx
=
(
double
*
)
gp_alloc
(
sizeof
(
double
)
*
(
numpoints
+
3
)
*
(
numpoints
+
8
),
"thin plate splines in dgrid3d"
);
/* the memory needed is not really (n+3)*(n+8) for now,
but might be if I take into account errors ... */
K
=
(
double
*
*
)
gp_alloc
(
sizeof
(
double
*
)
*
(
numpoints
+
3
),
"matrix : thin plate splines 2d"
);
yy
=
xx
+
numpoints
;
zz
=
yy
+
numpoints
;
b
=
zz
+
numpoints
;
i
=
0
;
for
(
oicrv
=
old_iso_crvs
;
oicrv
!=
NULL
;
oicrv
=
oicrv
->
next
) {
struct
coordinate
GPHUGE
*
opoints
=
oicrv
->
points
;
for
(
k
=
0
;
k
<
oicrv
->
p_count
;
k
++
,
opoints
++
) {
xx
[
i
]
=
opoints
->
x
;
yy
[
i
]
=
opoints
->
y
;
zz
[
i
]
=
opoints
->
z
;
i
++
;
}
}
for
(
i
=
0
;
i
<
numpoints
+
3
;
i
++
) {
K
[
i
]
=
b
+
(
numpoints
+
3
)
*
(
i
+
1
);
}
for
(
i
=
0
;
i
<
numpoints
;
i
++
) {
for
(
j
=
i
+
1
;
j
<
numpoints
;
j
++
) {
double
dx
=
xx
[
i
]
-
xx
[
j
],
dy
=
yy
[
i
]
-
yy
[
j
];
K
[
i
][
j
]
=
K
[
j
][
i
]
=
-
splines_kernel
(
sqrt
(
dx
*
dx
+
dy
*
dy
));
}
K
[
i
][
i
]
=
0.0
;
/* here will come the weights for errors */
b
[
i
]
=
zz
[
i
];
}
for
(
i
=
0
;
i
<
numpoints
;
i
++
) {
K
[
i
][
numpoints
]
=
K
[
numpoints
][
i
]
=
1.0
;
K
[
i
][
numpoints
+
1
]
=
K
[
numpoints
+
1
][
i
]
=
xx
[
i
];
K
[
i
][
numpoints
+
2
]
=
K
[
numpoints
+
2
][
i
]
=
yy
[
i
];
}
b
[
numpoints
]
=
0.0
;
b
[
numpoints
+
1
]
=
0.0
;
b
[
numpoints
+
2
]
=
0.0
;
K
[
numpoints
][
numpoints
]
=
0.0
;
K
[
numpoints
][
numpoints
+
1
]
=
0.0
;
K
[
numpoints
][
numpoints
+
2
]
=
0.0
;
K
[
numpoints
+
1
][
numpoints
]
=
0.0
;
K
[
numpoints
+
1
][
numpoints
+
1
]
=
0.0
;
K
[
numpoints
+
1
][
numpoints
+
2
]
=
0.0
;
K
[
numpoints
+
2
][
numpoints
]
=
0.0
;
K
[
numpoints
+
2
][
numpoints
+
1
]
=
0.0
;
K
[
numpoints
+
2
][
numpoints
+
2
]
=
0.0
;
indx
=
(
int
*
)
gp_alloc
(
sizeof
(
int
)
*
(
numpoints
+
3
),
"indexes lu"
);
/* actually, K is *not* positive definite, but
has only non zero real eigenvalues ->
we can use an lu_decomp safely */
lu_decomp
(
K
,
numpoints
+
3
,
indx
,
&
d
);
lu_backsubst
(
K
,
numpoints
+
3
,
indx
,
b
);
#endif
/* THIN_PLATE_SPLINES_GRID */
for
(
i
=
0
,
x
=
xmin
;
i
<
dgrid3d_col_fineness
;
i
++
,
x
+=
dx
) {
struct
coordinate
GPHUGE
*
points
;
icrv
=
iso_alloc
(
dgrid3d_row_fineness
+
1
);
icrv
->
p_count
=
dgrid3d_row_fineness
;
icrv
->
next
=
this_plot
->
iso_crvs
;
this_plot
->
iso_crvs
=
icrv
;
points
=
icrv
->
points
;
for
(
j
=
0
,
y
=
ymin
;
j
<
dgrid3d_row_fineness
;
j
++
,
y
+=
dy
,
points
++
) {
z
=
w
=
0.0
;
#ifndef
BUGGY_DGRID_RANGING
/* HBB 981209 */
/* as soon as ->type is changed to UNDEFINED, break out of
* two inner loops! */
points
->
type
=
INRANGE
;
#endif
#ifdef
THIN_PLATE_SPLINES_GRID
z
=
b
[
numpoints
];
for
(
k
=
0
;
k
<
numpoints
;
k
++
) {
double
dx
=
xx
[
k
]
-
x
,
dy
=
yy
[
k
]
-
y
;
z
=
z
-
b
[
k
]
*
splines_kernel
(
sqrt
(
dx
*
dx
+
dy
*
dy
));
}
z
=
z
+
b
[
numpoints
+
1
]
*
x
+
b
[
numpoints
+
2
]
*
y
;
#else
for
(
oicrv
=
old_iso_crvs
;
oicrv
!=
NULL
;
oicrv
=
oicrv
->
next
) {
struct
coordinate
GPHUGE
*
opoints
=
oicrv
->
points
;
for
(
k
=
0
;
k
<
oicrv
->
p_count
;
k
++
,
opoints
++
) {
double
dist
,
dist_x
=
fabs
(
opoints
->
x
-
x
),
dist_y
=
fabs
(
opoints
->
y
-
y
);
switch
(
dgrid3d_norm_value
) {
case
1
:
dist
=
dist_x
+
dist_y
;
break
;
case
2
:
dist
=
dist_x
*
dist_x
+
dist_y
*
dist_y
;
break
;
case
4
:
dist
=
dist_x
*
dist_x
+
dist_y
*
dist_y
;
dist
*=
dist
;
break
;
case
8
:
dist
=
dist_x
*
dist_x
+
dist_y
*
dist_y
;
dist
*=
dist
;
dist
*=
dist
;
break
;
case
16
:
dist
=
dist_x
*
dist_x
+
dist_y
*
dist_y
;
dist
*=
dist
;
dist
*=
dist
;
dist
*=
dist
;
break
;
default
:
dist
=
pow
(
dist_x
, (
double
)
dgrid3d_norm_value
)
+
pow
(
dist_y
, (
double
)
dgrid3d_norm_value
);
break
;
}
/* The weight of this point is inverse proportional
* to the distance.
*/
if
(
dist
==
0.0
) {
#ifndef
BUGGY_DGRID_RANGING
/* HBB 981209: revised flagging as undefined */
/* Supporting all those infinities on various
* platforms becomes tiresome, to say the least :-(
* Let's just return the first z where this happens,
* unchanged, and be done with this, period. */
points
->
type
=
UNDEFINED
;
z
=
opoints
->
z
;
w
=
1.0
;
break
;
/* out of for (k...) loop */
#else
#if
!defined(
AMIGA_SC_6_1
)
&&
!defined(
__PUREC__
)
dist
=
VERYLARGE
;
#else
/* !AMIGA_SC_6_1 && !__PUREC__ */
/* Multiplying VERYLARGE by opoints->z below
* might yield Inf (i.e. a number that can't
* be represented on the machine). This will
* result in points->z being set to NaN. It's
* better to have a pretty large number that is
* also on the safe side... The numbers that are
* read by gnuplot are float values anyway, so
* they can't be bigger than FLT_MAX. So setting
* dist to FLT_MAX^2 will make dist pretty large
* with respect to any value that has been read. */
dist
=
((
double
)
FLT_MAX
)
*
((
double
)
FLT_MAX
);
#endif
/* !AMIGA_SC_6_1 && !__PUREC__ */
#endif
/* BUGGY_DGRID_RANGING */
}
else
dist
=
1.0
/
dist
;
z
+=
opoints
->
z
*
dist
;
w
+=
dist
;
}
#ifndef
BUGGY_DGRID_RANGING
if
(
points
->
type
!=
INRANGE
)
break
;
/* out of the second-inner loop as well ... */
#endif
}
#endif
/* THIN_PLATE_SPLINES_GRID */
#ifndef
BUGGY_DGRID_RANGING
/* Now that we've escaped the loops safely, we know that we
* do have a good value in z and w, so we can proceed just as
* if nothing had happened at all. Nice, isn't it? */
points
->
type
=
INRANGE
;
STORE_WITH_LOG_AND_UPDATE_RANGE
(
points
->
x
,
x
,
points
->
type
,
x_axis
,
NOOP
,
continue
);
STORE_WITH_LOG_AND_UPDATE_RANGE
(
points
->
y
,
y
,
points
->
type
,
y_axis
,
NOOP
,
continue
);
#ifndef
THIN_PLATE_SPLINES_GRID
STORE_WITH_LOG_AND_UPDATE_RANGE
(
points
->
z
,
z
/
w
,
points
->
type
,
z_axis
,
NOOP
,
continue
);
#else
STORE_WITH_LOG_AND_UPDATE_RANGE
(
points
->
z
,
z
,
points
->
type
,
z_axis
,
NOOP
,
continue
);
#endif
#else
/* HBB 981026: original, short version of this code */
points
->
x
=
x
;
points
->
y
=
y
;
points
->
z
=
z
/
w
;
points
->
type
=
INRANGE
;
#endif
}
}
#ifdef
THIN_PLATE_SPLINES_GRID
free
(
K
);
free
(
xx
);
free
(
indx
);
#endif
/* Delete the old non grid data. */
for
(
oicrvs
=
old_iso_crvs
;
oicrvs
!=
NULL
;) {
oicrv
=
oicrvs
;
oicrvs
=
oicrvs
->
next
;
iso_free
(
oicrv
);
}
}
static
void
get_3ddata
(
this_plot
)
struct
surface_points
*
this_plot
;
/* this_plot->token is end of datafile spec, before title etc
* will be moved passed title etc after we return
*/
{
int
xdatum
=
0
;
int
ydatum
=
0
;
int
i
,
j
;
double
v
[
3
];
int
pt_in_iso_crv
=
0
;
struct
iso_curve
*
this_iso
;
if
(
mapping3d
==
MAP3D_CARTESIAN
) {
if
(
df_no_use_specs
==
2
)
int_error
(
this_plot
->
token
,
"Need 1 or 3 columns for cartesian data"
);
}
else
{
if
(
df_no_use_specs
==
1
)
int_error
(
this_plot
->
token
,
"Need 2 or 3 columns for polar data"
);
}
this_plot
->
num_iso_read
=
0
;
this_plot
->
has_grid_topology
=
TRUE;
/* we ought to keep old memory - most likely case
* is a replot, so it will probably exactly fit into
* memory already allocated ?
*/
if
(
this_plot
->
iso_crvs
!=
NULL
) {
struct
iso_curve
*
icrv
,
*
icrvs
=
this_plot
->
iso_crvs
;
while
(
icrvs
) {
icrv
=
icrvs
;
icrvs
=
icrvs
->
next
;
iso_free
(
icrv
);
}
this_plot
->
iso_crvs
=
NULL
;
}
/* data file is already open */
if
(
df_matrix
)
xdatum
=
df_3dmatrix
(
this_plot
);
else
{
/*{{{ read surface from text file */
struct
iso_curve
*
local_this_iso
=
iso_alloc
(
samples_1
);
struct
coordinate
GPHUGE
*
cp
;
double
x
,
y
,
z
;
while
((
j
=
df_readline
(
v
,
3
))
!=
DF_EOF
) {
if
(
j
==
DF_SECOND_BLANK
)
break
;
/* two blank lines */
if
(
j
==
DF_FIRST_BLANK
) {
/* one blank line */
if
(
pt_in_iso_crv
==
0
) {
if
(
xdatum
==
0
)
continue
;
pt_in_iso_crv
=
xdatum
;
}
if
(
xdatum
>
0
) {
local_this_iso
->
p_count
=
xdatum
;
local_this_iso
->
next
=
this_plot
->
iso_crvs
;
this_plot
->
iso_crvs
=
local_this_iso
;
this_plot
->
num_iso_read
++
;
if
(
xdatum
!=
pt_in_iso_crv
)
this_plot
->
has_grid_topology
=
FALSE;
local_this_iso
=
iso_alloc
(
pt_in_iso_crv
);
xdatum
=
0
;
ydatum
++
;
}
continue
;
}
/* its a data point or undefined */
if
(
xdatum
>=
local_this_iso
->
p_max
) {
/*
* overflow about to occur. Extend size of points[] array. We
* either double the size, or add 1000 points, whichever is a
* smaller increment. Note i = p_max.
*/
iso_extend
(
local_this_iso
,
xdatum
+
(
xdatum
<
1000
?
xdatum
:
1000
));
}
cp
=
local_this_iso
->
points
+
xdatum
;
if
(
j
==
DF_UNDEFINED
) {
cp
->
type
=
UNDEFINED
;
continue
;
}
cp
->
type
=
INRANGE
;
/* unless we find out different */
switch
(
mapping3d
) {
case
MAP3D_CARTESIAN
:
switch
(
j
) {
case
1
:
x
=
xdatum
;
y
=
ydatum
;
z
=
v
[
0
];
break
;
case
3
:
x
=
v
[
0
];
y
=
v
[
1
];
z
=
v
[
2
];
break
;
default
:
{
int_error
(
this_plot
->
token
,
"Need 1 or 3 columns - line %d"
,
df_line_number
);
return
;
/* avoid gcc -Wuninitialised for x,y,z */
}
}
break
;
case
MAP3D_SPHERICAL
:
if
(
j
<
2
)
int_error
(
this_plot
->
token
,
"Need 2 or 3 columns"
);
if
(
j
<
3
)
v
[
2
]
=
1
;
/* default radius */
/* Convert to radians. */
v
[
0
] *=
ang2rad
;
v
[
1
] *=
ang2rad
;
x
=
v
[
2
]
*
cos
(
v
[
0
])
*
cos
(
v
[
1
]);
y
=
v
[
2
]
*
sin
(
v
[
0
])
*
cos
(
v
[
1
]);
z
=
v
[
2
]
*
sin
(
v
[
1
]);
break
;
case
MAP3D_CYLINDRICAL
:
if
(
j
<
2
)
int_error
(
this_plot
->
token
,
"Need 2 or 3 columns"
);
if
(
j
<
3
)
v
[
2
]
=
1
;
/* default radius */
/* Convert to radians. */
v
[
0
] *=
ang2rad
;
x
=
v
[
2
]
*
cos
(
v
[
0
]);
y
=
v
[
2
]
*
sin
(
v
[
0
]);
z
=
v
[
1
];
break
;
default
:
int_error
(
NO_CARET
,
"Internal error : Unknown mapping type"
);
return
;
}
/* adjust for logscales. Set min/max and point types.
* store in cp
*/
cp
->
type
=
INRANGE
;
/* cannot use continue, as macro is wrapped in a loop.
* I regard this as correct goto use
*/
STORE_WITH_LOG_AND_UPDATE_RANGE
(
cp
->
x
,
x
,
cp
->
type
,
x_axis
,
NOOP
,
goto
come_here_if_undefined
);
STORE_WITH_LOG_AND_UPDATE_RANGE
(
cp
->
y
,
y
,
cp
->
type
,
y_axis
,
NOOP
,
goto
come_here_if_undefined
);
STORE_WITH_LOG_AND_UPDATE_RANGE
(
cp
->
z
,
z
,
cp
->
type
,
z_axis
,
NOOP
,
goto
come_here_if_undefined
);
/* some may complain, but I regard this as the correct use
* of goto
*/
come_here_if_undefined
:
++
xdatum
;
}
/* end of whileloop - end of surface */
if
(
xdatum
>
0
) {
this_plot
->
num_iso_read
++
;
/* Update last iso. */
local_this_iso
->
p_count
=
xdatum
;
local_this_iso
->
next
=
this_plot
->
iso_crvs
;
this_plot
->
iso_crvs
=
local_this_iso
;
if
(
xdatum
!=
pt_in_iso_crv
)
this_plot
->
has_grid_topology
=
FALSE;
}
else
{
iso_free
(
local_this_iso
);
/* Free last allocation. */
}
if
(
dgrid3d
&&
this_plot
->
num_iso_read
>
0
)
grid_nongrid_data
(
this_plot
);
/*}}} */
}
if
(
this_plot
->
num_iso_read
<=
1
)
this_plot
->
has_grid_topology
=
FALSE;
if
(
this_plot
->
has_grid_topology
&&
!
hidden3d
) {
struct
iso_curve
*
new_icrvs
=
NULL
;
int
num_new_iso
=
this_plot
->
iso_crvs
->
p_count
,
len_new_iso
=
this_plot
->
num_iso_read
;
/* Now we need to set the other direction (pseudo) isolines. */
for
(
i
=
0
;
i
<
num_new_iso
;
i
++
) {
struct
iso_curve
*
new_icrv
=
iso_alloc
(
len_new_iso
);
new_icrv
->
p_count
=
len_new_iso
;
for
(
j
=
0
,
this_iso
=
this_plot
->
iso_crvs
;
this_iso
!=
NULL
;
j
++
,
this_iso
=
this_iso
->
next
) {
/* copy whole point struct to get type too.
* wasteful for windows, with padding */
/* more efficient would be extra pointer to same struct */
new_icrv
->
points
[
j
]
=
this_iso
->
points
[
i
];
}
new_icrv
->
next
=
new_icrvs
;
new_icrvs
=
new_icrv
;
}
/* Append the new iso curves after the read ones. */
for
(
this_iso
=
this_plot
->
iso_crvs
;
this_iso
->
next
!=
NULL
;
this_iso
=
this_iso
->
next
);
this_iso
->
next
=
new_icrvs
;
}
}
static
void
print_3dtable
(
pcount
)
int
pcount
;
{
register
struct
surface_points
*
this_plot
;
int
i
,
curve
,
surface
;
struct
iso_curve
*
icrvs
;
struct
coordinate
GPHUGE
*
points
;
char
*
table_format
=
NULL
;
char
*
pcat
;
table_format
=
gp_alloc
(
strlen
(
axis_array
[
FIRST_X_AXIS
].
formatstring
)
+
strlen
(
axis_array
[
FIRST_Y_AXIS
].
formatstring
)
+
strlen
(
axis_array
[
FIRST_Z_AXIS
].
formatstring
)
+
6
,
"table format"
);
strcpy
(
table_format
,
axis_array
[
FIRST_X_AXIS
].
formatstring
);
strcat
(
table_format
,
" "
);
strcat
(
table_format
,
axis_array
[
FIRST_Y_AXIS
].
formatstring
);
strcat
(
table_format
,
" "
);
strcat
(
table_format
,
axis_array
[
FIRST_Z_AXIS
].
formatstring
);
pcat
=
&
table_format
[
strlen
(
table_format
)];
for
(
surface
=
0
,
this_plot
=
first_3dplot
;
surface
<
pcount
;
this_plot
=
this_plot
->
next_sp
,
surface
++
) {
fprintf
(
gpoutfile
,
"\n#Surface %d of %d surfaces\n"
,
surface
,
pcount
);
icrvs
=
this_plot
->
iso_crvs
;
curve
=
0
;
if
(
draw_surface
) {
strcpy
(
pcat
,
" %c\n"
);
/* only the curves in one direction */
while
(
icrvs
&&
curve
<
this_plot
->
num_iso_read
) {
fprintf
(
gpoutfile
,
"\n#IsoCurve %d, %d points\n#x y z type\n"
,
curve
,
icrvs
->
p_count
);
for
(
i
=
0
,
points
=
icrvs
->
points
;
i
<
icrvs
->
p_count
;
i
++
) {
fprintf
(
gpoutfile
,
table_format
,
points
[
i
].
x
,
points
[
i
].
y
,
points
[
i
].
z
,
points
[
i
].
type
==
INRANGE
?
'i'
:
points
[
i
].
type
==
OUTRANGE
?
'o'
:
'u'
);
}
icrvs
=
icrvs
->
next
;
curve
++
;
}
putc
(
'\n'
,
gpoutfile
);
}
if
(
draw_contour
) {
int
number
=
0
;
struct
gnuplot_contours
*
c
=
this_plot
->
contours
;
strcpy
(
pcat
,
"\n"
);
while
(
c
) {
int
count
=
c
->
num_pts
;
struct
coordinate
GPHUGE
*
p
=
c
->
coords
;
if
(
c
->
isNewLevel
)
/* dont display count - contour split across chunks */
/* put # in case user wants to use it for a plot */
/* double blank line to allow plot ... index ... */
fprintf
(
gpoutfile
,
"\n# Contour %d, label: %s\n"
,
number
++
,
c
->
label
);
for
(;
--
count
>=
0
;
++
p
)
fprintf
(
gpoutfile
,
table_format
,
p
->
x
,
p
->
y
,
p
->
z
);
/* blank line between segments of same contour */
putc
(
'\n'
,
gpoutfile
);
c
=
c
->
next
;
}
}
}
fflush
(
gpoutfile
);
free
(
table_format
);
}
/* HBB 20000501: code isolated from eval_3dplots(), where practically
* identical code occured twice, for direct and crossing isolines,
* respectively. The latter only are done for in non-hidden3d
* mode. */
static
void
calculate_set_of_isolines
(
value_axis
,
cross
,
this_iso
,
iso_axis
,
iso_min
,
iso_step
,
num_iso_to_use
,
sam_axis
,
sam_min
,
sam_step
,
num_sam_to_use
)
AXIS_INDEX
iso_axis
,
sam_axis
,
value_axis
;
struct
iso_curve
*
*
this_iso
;
TBOOLEAN
cross
;
double
iso_min
,
iso_step
,
sam_min
,
sam_step
;
int
num_iso_to_use
,
num_sam_to_use
;
{
int
i
,
j
;
struct
coordinate
GPHUGE
*
points
=
(
*
this_iso
)
->
points
;
for
(
j
=
0
;
j
<
num_iso_to_use
;
j
++
) {
double
iso
=
iso_min
+
j
*
iso_step
;
/* HBB 20000501: with the new code, it should
* be safe to rely on the actual 'v' axis not
* to be improperly logscaled... */
(
void
)
Gcomplex
(
&
plot_func
.
dummy_values
[
cross
?
0
:
1
],
AXIS_DE_LOG_VALUE
(
iso_axis
,
iso
),
0.0
);
for
(
i
=
0
;
i
<
num_sam_to_use
;
i
++
) {
double
sam
=
sam_min
+
i
*
sam_step
;
struct
value
a
;
double
temp
;
(
void
)
Gcomplex
(
&
plot_func
.
dummy_values
[
cross
?
1
:
0
],
AXIS_DE_LOG_VALUE
(
sam_axis
,
sam
),
0.0
);
if
(
cross
) {
points
[
i
].
x
=
iso
;
points
[
i
].
y
=
sam
;
}
else
{
points
[
i
].
x
=
sam
;
points
[
i
].
y
=
iso
;
}
evaluate_at
(
plot_func
.
at
,
&
a
);
if
(
undefined
||
(
fabs
(
imag
(
&
a
))
>
zero
)) {
points
[
i
].
type
=
UNDEFINED
;
continue
;
}
temp
=
real
(
&
a
);
points
[
i
].
type
=
INRANGE
;
STORE_WITH_LOG_AND_UPDATE_RANGE
(
points
[
i
].
z
,
temp
,
points
[
i
].
type
,
value_axis
,
NOOP
,
NOOP
);
}
(
*
this_iso
)
->
p_count
=
num_sam_to_use
;
*
this_iso
=
(
*
this_iso
)
->
next
;
points
=
(
*
this_iso
) ? (
*
this_iso
)
->
points
:
NULL
;
}
}
/*
* This parses the splot command after any range specifications. To support
* autoscaling on the x/z axis, we want any data files to define the x/y
* range, then to plot any functions using that range. We thus parse the
* input twice, once to pick up the data files, and again to pick up the
* functions. Definitions are processed twice, but that won't hurt.
* div - okay, it doesn't hurt, but every time an option as added for
* datafiles, code to parse it has to be added here. Change so that
* we store starting-token in the plot structure.
*/
static
void
eval_3dplots
()
{
int
i
;
struct
surface_points
*
*
tp_3d_ptr
;
int
start_token
,
end_token
;
int
begin_token
;
TBOOLEAN
some_data_files
=
FALSE,
some_functions
=
FALSE;
int
plot_num
,
line_num
,
point_num
;
/* part number of parametric function triplet: 0 = z, 1 = y, 2 = x */
int
crnt_param
=
0
;
View remainder of file in raw view
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