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/* GNUPLOT - graph3d.c */
/*[
* Copyright 1986 - 1993, 1998, 2004 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.
]*/
/*
* AUTHORS
*
* Original Software:
* Gershon Elber and many others.
*
* 19 September 1992 Lawrence Crowl (crowl@cs.orst.edu)
* Added user-specified bases for log scaling.
*
* 3.6 - split graph3d.c into graph3d.c (graph),
* util3d.c (intersections, etc)
* hidden3d.c (hidden-line removal code)
*
*/
#include
"graph3d.h"
#include
"alloc.h"
#include
"axis.h"
#include
"command.h"
#include
"contour.h"
#include
"gadgets.h"
#include
"hidden3d.h"
#include
"misc.h"
#include
"term_api.h"
#include
"util3d.h"
#include
"util.h"
#include
"vplot.h"
#include
"pm3d.h"
#include
"plot3d.h"
#include
"color.h"
#include
"plot.h"
static
int
key_entry_height
;
/* bigger of t->v_char, pointsize*t->v_tick */
static
int
key_title_height
;
static
int
key_title_extra
;
/* allow room for subscript/superscript */
static
int
key_title_width
;
static
int
key_width
;
static
int
key_height
;
/* is contouring wanted ? */
t_contour_placement
draw_contour
=
CONTOUR_NONE
;
TBOOLEAN
clabel_onecolor
=
FALSE;
/* use same linetype for all contours */
int
clabel_interval
=
20
;
/* label every 20th contour segment */
int
clabel_start
=
5
;
/* starting with the 5th */
char
*
clabel_font
=
NULL
;
/* default to current font */
/* Draw the surface at all? (FALSE if only contours are wanted) */
TBOOLEAN
draw_surface
=
TRUE;
/* Always create a gridded surface when lines are read from a data file */
TBOOLEAN
implicit_surface
=
TRUE;
/* Was hidden3d display selected by user? */
TBOOLEAN
hidden3d
=
FALSE;
int
hidden3d_layer
=
LAYER_BACK
;
/* Rotation and scale of the 3d view, as controlled by 'set view': */
float
surface_rot_z
=
30.0
;
float
surface_rot_x
=
60.0
;
float
surface_scale
=
1.0
;
float
surface_zscale
=
1.0
;
float
surface_lscale
=
0.0
;
float
mapview_scale
=
1.0
;
float
azimuth
=
0.0
;
/* These indicate projection onto the xy, xz or yz plane
* as requested by 'set view map' or 'set view projection'
*/
TBOOLEAN
splot_map
=
FALSE;
TBOOLEAN
xz_projection
=
FALSE;
TBOOLEAN
yz_projection
=
FALSE;
/* position of the base plane, as given by 'set ticslevel' or 'set xyplane' */
t_xyplane
xyplane
=
{
0.5
, FALSE };
/* 'set isosamples' settings */
int
iso_samples_1
=
ISO_SAMPLES
;
int
iso_samples_2
=
ISO_SAMPLES
;
double
xscale3d
,
yscale3d
,
zscale3d
;
double
xcenter3d
=
0.0
;
double
ycenter3d
=
0.0
;
double
zcenter3d
=
0.0
;
typedef
enum
{
ALLGRID
,
FRONTGRID
,
BACKGRID
,
BORDERONLY
}
WHICHGRID
;
static
void
do_3dkey_layout
(
legend_key
*
key
,
int
*
xinkey
,
int
*
yinkey
);
static
void
plot3d_impulses
(
struct
surface_points
*
plot
);
static
void
plot3d_lines
(
struct
surface_points
*
plot
);
static
void
plot3d_points
(
struct
surface_points
*
plot
);
static
void
plot3d_polygons
(
struct
surface_points
*
plot
);
static
void
plot3d_zerrorfill
(
struct
surface_points
*
plot
);
static
void
plot3d_boxes
(
struct
surface_points
*
plot
);
static
void
plot3d_vectors
(
struct
surface_points
*
plot
);
static
void
plot3d_lines_pm3d
(
struct
surface_points
*
plot
);
static
void
get_surface_cbminmax
(
struct
surface_points
*
plot
,
double
*
cbmin
,
double
*
cbmax
);
static
void
cntr3d_impulses
(
struct
gnuplot_contours
*
cntr
,
struct
lp_style_type
*
lp
);
static
void
cntr3d_lines
(
struct
gnuplot_contours
*
cntr
,
struct
lp_style_type
*
lp
);
static
void
cntr3d_points
(
struct
gnuplot_contours
*
cntr
,
struct
lp_style_type
*
lp
);
static
void
cntr3d_labels
(
struct
gnuplot_contours
*
cntr
,
char
*
leveltext
,
struct
text_label
*
label
);
static
void
check_corner_height
(
struct
coordinate
*
point
,
double
height
[
2
][
2
],
double
depth
[
2
][
2
]);
static
void
setup_3d_box_corners
(
void
);
static
void
draw_3d_graphbox
(
struct
surface_points
*
plot
,
int
plot_count
,
WHICHGRID
whichgrid
,
int
current_layer
);
static
void
xtick_callback
(
struct
axis
*
,
double
place
,
char
*
text
,
int
ticlevel
,
struct
lp_style_type
grid
,
struct
ticmark
*
userlabels
);
static
void
ytick_callback
(
struct
axis
*
,
double
place
,
char
*
text
,
int
ticlevel
,
struct
lp_style_type
grid
,
struct
ticmark
*
userlabels
);
static
void
ztick_callback
(
struct
axis
*
,
double
place
,
char
*
text
,
int
ticlevel
,
struct
lp_style_type
grid
,
struct
ticmark
*
userlabels
);
static
int
find_maxl_cntr
(
struct
gnuplot_contours
*
contours
,
int
*
count
);
static
int
find_maxl_keys3d
(
struct
surface_points
*
plots
,
int
count
,
int
*
kcnt
);
static
void
boundary3d
(
struct
surface_points
*
plots
,
int
count
);
/* put entries in the key */
static
void
key_sample_line
(
int
xl
,
int
yl
);
static
void
key_sample_point
(
struct
surface_points
*
this_plot
,
int
xl
,
int
yl
,
int
pointtype
);
static
void
key_sample_line_pm3d
(
struct
surface_points
*
plot
,
int
xl
,
int
yl
);
static
void
key_sample_point_pm3d
(
struct
surface_points
*
plot
,
int
xl
,
int
yl
,
int
pointtype
);
static
void
key_sample_fill
(
int
xl
,
int
yl
,
struct
surface_points
*
this_plot
);
static
TBOOLEAN
can_pm3d
=
FALSE;
static
void
key_text
(
int
xl
,
int
yl
,
char
*
text
);
static
void
check3d_for_variable_color
(
struct
surface_points
*
plot
,
struct
coordinate
*
point
);
static
TBOOLEAN
get_arrow3d
(
struct
arrow_def
*
,
double
*
,
double
*
,
double
*
,
double
*
);
static
void
place_arrows3d
(
int
);
static
void
place_labels3d
(
struct
text_label
*
listhead
,
int
layer
);
static
int
map3d_getposition
(
struct
position
*
pos
,
const
char
*
what
,
double
*
xpos
,
double
*
ypos
,
double
*
zpos
);
static
void
flip_projection_axis
(
struct
axis
*
axis
);
static
void
splot_map_activate
(
void
);
static
void
splot_map_deactivate
(
void
);
# define
f_max
(
a
,
b
) GPMAX((a),(b))
# define
f_min
(
a
,
b
) GPMIN((a),(b))
# define
i_inrange
(
z
,
a
,
b
) inrange((z),(a),(b))
#define
apx_eq
(
x
,
y
) (fabs(x-y) < 0.001)
#define
ABS
(
x
) ((x) >= 0 ? (x) : -(x))
#define
SQR
(
x
) ((x) * (x))
/* Define the boundary of the plot
* These are computed at each call to do_plot, and are constant over
* the period of one do_plot. They actually only change when the term
* type changes and when the 'set size' factors change.
*/
int
xmiddle
,
ymiddle
,
xscaler
,
yscaler
;
double
xyscaler
;
double
radius_scaler
;
static
int
ptitl_cnt
;
static
int
max_ptitl_len
;
static
int
titlelin
;
static
int
key_sample_width
,
key_rows
,
key_cols
,
key_col_wth
,
yl_ref
;
static
double
ktitle_lines
=
0
;
/* Boundary and scale factors, in user coordinates */
/* These positions assume a single linear scale encompassing the
* zrange plus extra space below for the baseplane. This was messy but
* correct before the introduction of nonlinear axes. Now - not so much.
*
* ceiling_z is the highest z in use
* floor_z is the lowest z in use
* base_z is the z of the base
* min3d_z is the lowest z of the graph area
* max3d_z is the highest z of the graph area
*
* ceiling_z is either max3d_z or base_z, and similarly for floor_z
* There should be no part of graph drawn outside
* min3d_z:max3d_z - apart from arrows, perhaps
*/
double
floor_z
;
double
ceiling_z
,
base_z
;
/* made exportable for PM3D */
/* To handle a non-linear z axis we need to calculate these values on
* the other end of the linked linear:nonlinear axis pair.
*/
double
floor_z1
;
/* Used also by map_z3d() */
static
double
ceiling_z1
,
base_z1
;
transform_matrix
trans_mat
;
/* x and y input range endpoints where the three axes are to be
* displayed (left, front-left, and front-right edges of the cube) */
static
double
xaxis_y
,
yaxis_x
,
zaxis_x
,
zaxis_y
;
/* ... and the same for the back, right, and front corners */
static
double
back_x
,
back_y
;
static
double
right_x
,
right_y
;
static
double
front_x
,
front_y
;
/* The global flags splot_map, xz_projection, and yz_projection are specific views.
* These flag the more general case of looking down the x or y axis
*/
static
TBOOLEAN
xz_plane
,
yz_plane
;
#ifdef
USE_MOUSE
int
axis3d_o_x
,
axis3d_o_y
,
axis3d_x_dx
,
axis3d_x_dy
,
axis3d_y_dx
,
axis3d_y_dy
;
#endif
/* the penalty for convenience of using tic_gen to make callbacks
* to tick routines is that we cannot pass parameters very easily.
* We communicate with the tick_callbacks using static variables
*/
/* unit vector (terminal coords) */
static
double
tic_unitx
,
tic_unity
,
tic_unitz
;
/* calculate the number and max-width of the keys for an splot.
* Note that a blank line is issued after each set of contours
*/
static
int
find_maxl_keys3d
(
struct
surface_points
*
plots
,
int
count
,
int
*
kcnt
)
{
int
mlen
,
len
,
surf
,
cnt
;
struct
surface_points
*
this_plot
;
mlen
=
cnt
=
0
;
this_plot
=
plots
;
for
(
surf
=
0
;
surf
<
count
;
this_plot
=
this_plot
->
next_sp
,
surf
++
) {
/* we draw a main entry if there is one, and we are
* drawing either surface, or unlabeled contours
*/
if
(
this_plot
->
title
&&
*
this_plot
->
title
&&
!
this_plot
->
title_is_suppressed
&&
!
this_plot
->
title_position
) {
++
cnt
;
len
=
estimate_strlen
(
this_plot
->
title
,
NULL
);
if
(
len
>
mlen
)
mlen
=
len
;
}
if
(
draw_contour
&&
!
clabel_onecolor
&&
this_plot
->
contours
!=
NULL
&&
!
this_plot
->
title_is_suppressed
&&
this_plot
->
plot_style
!=
LABELPOINTS
) {
len
=
find_maxl_cntr
(
this_plot
->
contours
,
&
cnt
);
if
(
len
>
mlen
)
mlen
=
len
;
}
}
if
(
kcnt
!=
NULL
)
*
kcnt
=
cnt
;
return
(
mlen
);
}
static
int
find_maxl_cntr
(
struct
gnuplot_contours
*
contours
,
int
*
count
)
{
int
cnt
;
int
mlen
,
len
;
struct
gnuplot_contours
*
cntrs
=
contours
;
mlen
=
cnt
=
0
;
while
(
cntrs
) {
if
(
cntrs
->
isNewLevel
) {
len
=
estimate_strlen
(
cntrs
->
label
,
NULL
)
-
strspn
(
cntrs
->
label
,
" "
);
if
(
len
)
cnt
++
;
if
(
len
>
mlen
)
mlen
=
len
;
}
cntrs
=
cntrs
->
next
;
}
*
count
+=
cnt
;
return
(
mlen
);
}
/* borders of plotting area */
/* computed once on every call to do_plot */
static
void
boundary3d
(
struct
surface_points
*
plots
,
int
count
)
{
legend_key
*
key
=
&
keyT
;
struct
termentry
*
t
=
term
;
int
i
;
titlelin
=
0
;
if
(
key
->
swidth
>=
0
)
key_sample_width
=
key
->
swidth
*
t
->
h_char
+
t
->
h_tic
;
else
key_sample_width
=
0
;
key_entry_height
=
t
->
v_tic
*
1.25
*
key
->
vert_factor
;
if
(
key_entry_height
<
t
->
v_char
) {
/* is this reasonable ? */
key_entry_height
=
t
->
v_char
*
key
->
vert_factor
;
}
/* Approximate width of titles is used to determine number of rows, cols
* The actual widths will be recalculated later
*/
max_ptitl_len
=
find_maxl_keys3d
(
plots
,
count
,
&
ptitl_cnt
);
key_title_width
=
label_width
(
key
->
title
.
text
,
&
i
)
*
t
->
h_char
;
ktitle_lines
=
i
;
key_col_wth
=
(
max_ptitl_len
+
4
)
*
t
->
h_char
+
key_sample_width
;
if
(
lmargin
.
scalex
==
screen
)
plot_bounds
.
xleft
=
lmargin
.
x
*
(
double
)
t
->
xmax
+
0.5
;
else
if
(
lmargin
.
x
>=
0
)
plot_bounds
.
xleft
=
lmargin
.
x
*
(
double
)
t
->
h_char
+
0.5
;
else
plot_bounds
.
xleft
=
t
->
h_char
*
2
+
t
->
h_tic
;
if
(
rmargin
.
scalex
==
screen
)
plot_bounds
.
xright
=
rmargin
.
x
*
(
double
)
t
->
xmax
+
0.5
;
else
if
(
splot_map
&&
rmargin
.
x
>=
0
)
plot_bounds
.
xright
=
xsize
*
t
->
xmax
-
(
rmargin
.
x
*
t
->
h_char
+
0.5
);
else
plot_bounds
.
xright
=
xsize
*
t
->
xmax
-
t
->
h_char
*
2
-
t
->
h_tic
;
/* New option "set key columns <ncol>" */
if
(
key
->
user_cols
>
0
) {
key_cols
=
key
->
user_cols
;
key_rows
=
ceil
((
double
)
ptitl_cnt
/ (
double
)
key_cols
);
}
/* Automatic calculation of key columns and rows */
if
(
key
->
user_cols
==
0
) {
key_rows
=
ptitl_cnt
;
key_cols
=
1
;
if
(
key_rows
>
key
->
maxrows
&&
key
->
maxrows
>
0
) {
key_rows
=
key
->
maxrows
;
key_cols
=
(
ptitl_cnt
-
1
)/
key_rows
+
1
;
}
if
(
key
->
visible
)
if
((
key
->
region
==
GPKEY_AUTO_EXTERIOR_MARGIN
||
key
->
region
==
GPKEY_AUTO_EXTERIOR_LRTBC
)
&&
key
->
margin
==
GPKEY_BMARGIN
) {
if
(
ptitl_cnt
>
0
) {
/* calculate max no cols, limited by label-length */
key_cols
=
(
plot_bounds
.
xright
-
plot_bounds
.
xleft
)
/ ((
max_ptitl_len
+
4
)
*
t
->
h_char
+
key_sample_width
);
if
(
key_cols
==
0
)
key_cols
=
1
;
key_rows
=
((
ptitl_cnt
-
1
)/
key_cols
)
+
1
;
/* Limit the number of rows if requested by user */
if
(
key_rows
>
key
->
maxrows
&&
key
->
maxrows
>
0
)
key_rows
=
key
->
maxrows
;
/* now calculate actual no cols depending on no rows */
key_cols
=
((
ptitl_cnt
-
1
)/
key_rows
)
+
1
;
key_col_wth
=
(
plot_bounds
.
xright
-
plot_bounds
.
xleft
) /
key_cols
;
}
}
}
/* Sanity check top and bottom margins, in case the user got confused */
if
(
bmargin
.
scalex
==
screen
&&
tmargin
.
scalex
==
screen
)
if
(
bmargin
.
x
>
tmargin
.
x
) {
double
tmp
=
bmargin
.
x
;
bmargin
.
x
=
tmargin
.
x
;
tmargin
.
x
=
tmp
;
}
/* this should also consider the view and number of lines in
* xformat || yformat || xlabel || ylabel */
if
(
bmargin
.
scalex
==
screen
)
plot_bounds
.
ybot
=
bmargin
.
x
*
(
double
)
t
->
ymax
+
0.5
;
else
if
(
splot_map
&&
bmargin
.
x
>=
0
)
plot_bounds
.
ybot
=
(
double
)
t
->
v_char
*
bmargin
.
x
;
else
plot_bounds
.
ybot
=
t
->
v_char
*
2.5
+
1
;
if
(
key
->
visible
)
if
(
key_rows
&&
(
key
->
margin
==
GPKEY_BMARGIN
)
&&
(
key
->
region
==
GPKEY_AUTO_EXTERIOR_MARGIN
||
key
->
region
==
GPKEY_AUTO_EXTERIOR_LRTBC
))
plot_bounds
.
ybot
+=
key_rows
*
key_entry_height
+
key_title_height
;
if
(
title
.
text
) {
titlelin
++
;
for
(
i
=
0
;
i
<
strlen
(
title
.
text
);
i
++
) {
if
(
title
.
text
[
i
]
==
'\\'
)
titlelin
++
;
}
}
if
(
tmargin
.
scalex
==
screen
)
plot_bounds
.
ytop
=
tmargin
.
x
*
(
double
)
t
->
ymax
+
0.5
;
else
if
(
splot_map
&&
tmargin
.
x
>=
0
)
plot_bounds
.
ytop
=
ysize
*
t
->
ymax
-
t
->
v_char
*
(
titlelin
+
tmargin
.
x
)
-
1
;
else
plot_bounds
.
ytop
=
ysize
*
t
->
ymax
-
t
->
v_char
*
(
titlelin
+
1.5
)
-
1
;
/* Automatic calculation of key columns and rows */
if
(
key
->
visible
&&
key
->
user_cols
==
0
) {
if
(
key
->
region
==
GPKEY_AUTO_INTERIOR_LRTBC
||
((
key
->
region
==
GPKEY_AUTO_EXTERIOR_LRTBC
||
key
->
region
==
GPKEY_AUTO_EXTERIOR_MARGIN
)
&&
key
->
margin
==
GPKEY_RMARGIN
)) {
/* calculate max no rows, limited by plot_bounds.ytop-plot_bounds.ybot */
i
=
(
plot_bounds
.
ytop
-
plot_bounds
.
ybot
) /
t
->
v_char
-
1
-
ktitle_lines
;
if
(
i
>
key
->
maxrows
&&
key
->
maxrows
>
0
)
i
=
key
->
maxrows
;
if
(
i
<=
0
)
i
=
1
;
if
(
ptitl_cnt
>
i
) {
key_cols
=
((
ptitl_cnt
-
1
)/
i
)
+
1
;
/* now calculate actual no rows depending on no cols */
key_rows
=
((
ptitl_cnt
-
1
) /
key_cols
)
+
1
;
}
}
}
/* Calculation of key width */
if
(
key
->
visible
) {
if
(
key
->
user_width
.
x
==
0
)
key_width
=
key_col_wth
*
key_cols
-
2
*
t
->
h_char
;
else
{
if
(
key
->
user_width
.
scalex
==
graph
)
key_width
=
key
->
user_width
.
x
*
(
plot_bounds
.
xright
-
plot_bounds
.
xleft
);
else
/* (key->user_width.scalex == screen) */
key_width
=
key
->
user_width
.
x
*
(
double
)(
t
->
xmax
-
1
);
key_col_wth
=
key_width
/
key_cols
;
}
if
((
key
->
region
==
GPKEY_AUTO_EXTERIOR_LRTBC
||
key
->
region
==
GPKEY_AUTO_EXTERIOR_MARGIN
)
&&
(
key
->
margin
==
GPKEY_RMARGIN
)
&&
(
rmargin
.
scalex
!=
screen
))
plot_bounds
.
xright
-=
key_width
;
if
((
key
->
region
==
GPKEY_AUTO_EXTERIOR_LRTBC
||
key
->
region
==
GPKEY_AUTO_EXTERIOR_MARGIN
)
&&
(
key
->
margin
==
GPKEY_LMARGIN
)
&&
(
lmargin
.
scalex
!=
screen
))
plot_bounds
.
xleft
+=
key_width
;
}
/* Make room for the colorbar to the right of the plot */
if
(
splot_map
&&
is_plot_with_colorbox
()
&&
rmargin
.
scalex
!=
screen
) {
if
((
color_box
.
where
!=
SMCOLOR_BOX_NO
)
&&
(
color_box
.
where
!=
SMCOLOR_BOX_USER
))
plot_bounds
.
xright
-=
0.1
*
(
plot_bounds
.
xright
-
plot_bounds
.
xleft
);
color_box
.
xoffset
=
0
;
}
/* Leave room for optional x2label and y2label in "set view map" mode.
* These estimates are crude compared to the effort we make in 2D plots
* but the user can adjust it with "offset" and "set rmargin".
* Later we will adjust the colorbox position by the same amount.
*/
if
(
splot_map
&&
axis_array
[
SECOND_X_AXIS
].
label
.
text
)
plot_bounds
.
ytop
-=
1.5
*
t
->
v_char
;
if
(
splot_map
&&
axis_array
[
SECOND_Y_AXIS
].
label
.
text
)
plot_bounds
.
xright
-=
2.5
*
t
->
h_char
;
if
(!
splot_map
&&
aspect_ratio_3D
>
0
) {
int
height
=
(
plot_bounds
.
ytop
-
plot_bounds
.
ybot
);
int
width
=
(
plot_bounds
.
xright
-
plot_bounds
.
xleft
);
if
(
height
>
width
) {
plot_bounds
.
ybot
+=
(
height
-
width
)/
2
;
plot_bounds
.
ytop
-=
(
height
-
width
)/
2
;
}
else
{
plot_bounds
.
xleft
+=
(
width
-
height
)/
2
;
plot_bounds
.
xright
-=
(
width
-
height
)/
2
;
}
}
if
(
lmargin
.
scalex
!=
screen
)
plot_bounds
.
xleft
+=
t
->
xmax
*
xoffset
;
if
(
rmargin
.
scalex
!=
screen
)
plot_bounds
.
xright
+=
t
->
xmax
*
xoffset
;
if
(
tmargin
.
scalex
!=
screen
)
plot_bounds
.
ytop
+=
t
->
ymax
*
yoffset
;
if
(
bmargin
.
scalex
!=
screen
)
plot_bounds
.
ybot
+=
t
->
ymax
*
yoffset
;
xmiddle
=
(
plot_bounds
.
xright
+
plot_bounds
.
xleft
) /
2
;
ymiddle
=
(
plot_bounds
.
ytop
+
plot_bounds
.
ybot
) /
2
;
/* HBB: Magic number alert! */
xscaler
=
((
plot_bounds
.
xright
-
plot_bounds
.
xleft
)
*
4L
) /
7L
;
yscaler
=
((
plot_bounds
.
ytop
-
plot_bounds
.
ybot
)
*
4L
) /
7L
;
/* Allow explicit control via set {}margin screen */
if
(
tmargin
.
scalex
==
screen
&&
bmargin
.
scalex
==
screen
)
yscaler
=
(
plot_bounds
.
ytop
-
plot_bounds
.
ybot
) /
surface_scale
;
if
(
rmargin
.
scalex
==
screen
&&
lmargin
.
scalex
==
screen
)
xscaler
=
(
plot_bounds
.
xright
-
plot_bounds
.
xleft
) /
surface_scale
;
/* prevent infinite loop or divide-by-zero if scaling is bad */
if
(
yscaler
==
0
)
yscaler
=
1
;
if
(
xscaler
==
0
)
xscaler
=
1
;
/* 'set size {square|ratio}' for splots */
if
(
splot_map
&&
aspect_ratio
!=
0.0
) {
double
current_aspect_ratio
;
if
(
aspect_ratio
<
0
&&
(
X_AXIS
.
max
-
X_AXIS
.
min
)
!=
0.0
) {
current_aspect_ratio
=
-
aspect_ratio
*
fabs
((
Y_AXIS
.
max
-
Y_AXIS
.
min
) /
(
X_AXIS
.
max
-
X_AXIS
.
min
));
}
else
current_aspect_ratio
=
aspect_ratio
;
/*{{{ set aspect ratio if valid and sensible */
if
(
current_aspect_ratio
>=
0.01
&&
current_aspect_ratio
<=
100.0
) {
double
current
=
(
double
)
yscaler
/
xscaler
;
double
required
=
current_aspect_ratio
*
t
->
v_tic
/
t
->
h_tic
;
if
(
current
>
required
)
/* too tall */
yscaler
=
xscaler
*
required
;
else
/* too wide */
xscaler
=
yscaler
/
required
;
}
}
/* For anything that really wants to be the same on x and y */
xyscaler
=
sqrt
((
double
)
xscaler
*
(
double
)
yscaler
);
/* This one is used to scale circles in 3D plots */
radius_scaler
=
xscaler
*
surface_scale
/ (
X_AXIS
.
max
-
X_AXIS
.
min
);
/* Set default clipping */
if
(
splot_map
)
clip_area
=
&
plot_bounds
;
else
if
(
term
->
flags
&
TERM_CAN_CLIP
)
clip_area
=
NULL
;
else
clip_area
=
&
canvas
;
}
static
TBOOLEAN
get_arrow3d
(
struct
arrow_def
*
arrow
,
double
*
dsx
,
double
*
dsy
,
double
*
dex
,
double
*
dey
)
{
map3d_position_double
(
&
(
arrow
->
start
),
dsx
,
dsy
,
"arrow"
);
if
(
arrow
->
type
==
arrow_end_relative
) {
map3d_position_r_double
(
&
(
arrow
->
end
),
dex
,
dey
,
"arrow"
);
*
dex
+=
*
dsx
;
*
dey
+=
*
dsy
;
}
else
if
(
arrow
->
type
==
arrow_end_oriented
) {
double
aspect
=
effective_aspect_ratio
();
double
radius
;
double
junkw
,
junkh
;
if
(
arrow
->
end
.
scalex
!=
screen
&&
arrow
->
end
.
scalex
!=
character
&&
!
splot_map
)
return
FALSE;
map3d_position_r_double
(
&
arrow
->
end
,
&
junkw
,
&
junkh
,
"arrow"
);
radius
=
junkw
;
*
dex
=
*
dsx
+
cos
(
DEG2RAD
*
arrow
->
angle
)
*
radius
;
*
dey
=
*
dsy
+
sin
(
DEG2RAD
*
arrow
->
angle
)
*
radius
*
aspect
;
}
else
{
map3d_position_double
(
&
(
arrow
->
end
),
dex
,
dey
,
"arrow"
);
}
return
TRUE;
}
static
void
place_labels3d
(
struct
text_label
*
listhead
,
int
layer
)
{
struct
text_label
*
this_label
;
int
x
,
y
;
term
->
pointsize
(
pointsize
);
/* Hypertext labels? */
/* NB: currently svg is the only terminal that needs this extra step */
if
(
layer
==
LAYER_PLOTLABELS
&&
listhead
&&
listhead
->
hypertext
&&
term
->
hypertext
) {
term
->
hypertext
(
TERM_HYPERTEXT_FONT
,
listhead
->
font
);
}
for
(
this_label
=
listhead
;
this_label
!=
NULL
;
this_label
=
this_label
->
next
) {
if
(
this_label
->
layer
!=
layer
)
continue
;
if
(
layer
==
LAYER_PLOTLABELS
) {
double
xx
,
yy
;
map3d_xy_double
(
this_label
->
place
.
x
,
this_label
->
place
.
y
,
this_label
->
place
.
z
,
&
xx
,
&
yy
);
x
=
xx
;
y
=
yy
;
/* Only clip in 2D */
if
(
splot_map
&&
clip_point
(
x
,
y
))
continue
;
}
else
map3d_position
(
&
this_label
->
place
,
&
x
,
&
y
,
"label"
);
write_label
(
x
,
y
,
this_label
);
}
}
static
void
place_arrows3d
(
int
layer
)
{
struct
arrow_def
*
this_arrow
;
BoundingBox
*
clip_save
=
clip_area
;
/* Allow arrows to run off the plot, so long as they are still on the canvas */
if
(
term
->
flags
&
TERM_CAN_CLIP
)
clip_area
=
NULL
;
else
clip_area
=
&
canvas
;
for
(
this_arrow
=
first_arrow
;
this_arrow
!=
NULL
;
this_arrow
=
this_arrow
->
next
) {
double
dsx
,
dsy
,
dex
,
dey
;
if
(
this_arrow
->
arrow_properties
.
layer
!=
layer
)
continue
;
if
(
get_arrow3d
(
this_arrow
,
&
dsx
,
&
dsy
,
&
dex
,
&
dey
)) {
term_apply_lp_properties
(
&
(
this_arrow
->
arrow_properties
.
lp_properties
));
apply_head_properties
(
&
(
this_arrow
->
arrow_properties
));
draw_clip_arrow
(
dsx
,
dsy
,
dex
,
dey
,
this_arrow
->
arrow_properties
.
head
);
}
else
{
FPRINTF
((
stderr
,
"place_arrows3d: skipping out-of-bounds arrow\n"
));
}
}
clip_area
=
clip_save
;
}
/* we precalculate features of the key, to save lots of nested
* ifs in code - x,y = user supplied or computed position of key
* taken to be inner edge of a line sample
*/
static
int
key_sample_left
;
/* offset from x for left of line sample */
static
int
key_sample_right
;
/* offset from x for right of line sample */
static
int
key_point_offset
;
/* offset from x for point sample */
static
int
key_text_left
;
/* offset from x for left-justified text */
static
int
key_text_right
;
/* offset from x for right-justified text */
static
int
key_size_left
;
/* distance from x to left edge of box */
static
int
key_size_right
;
/* distance from x to right edge of box */
void
do_3dplot
(
struct
surface_points
*
plots
,
int
pcount
,
/* count of plots in linked list */
REPLOT_TYPE
replot_mode
)
/* replot/refresh/axes-only/quick-refresh */
{
struct
termentry
*
t
=
term
;
int
surface
;
struct
surface_points
*
this_plot
=
NULL
;
int
xl
=
0
,
yl
=
0
;
int
xl_save
,
yl_save
;
int
xl_prev
=
0
,
yl_prev
=
0
;
int
title_x
=
0
,
title_y
=
0
;
transform_matrix
mat
;
int
key_count
;
TBOOLEAN
key_pass
=
FALSE;
legend_key
*
key
=
&
keyT
;
TBOOLEAN
pm3d_order_depth
=
FALSE;
AXIS
*
primary_z
;
/* Initiate transformation matrix using the global view variables. */
if
(
splot_map
) {
splot_map_activate
();
}
else
if
(
xz_projection
) {
surface_rot_x
=
270.
;
surface_rot_z
=
0.
;
surface_scale
=
1.425
*
mapview_scale
;
}
else
if
(
yz_projection
) {
surface_rot_x
=
90.
;
surface_rot_z
=
90.
;
surface_scale
=
1.425
*
mapview_scale
;
flip_projection_axis
(
&
axis_array
[
FIRST_Z_AXIS
]);
}
mat_rot_z
(
surface_rot_z
,
trans_mat
);
mat_rot_x
(
surface_rot_x
,
mat
);
mat_mult
(
trans_mat
,
trans_mat
,
mat
);
mat_scale
(
surface_scale
/
2.0
,
surface_scale
/
2.0
,
surface_scale
/
2.0
,
mat
);
mat_mult
(
trans_mat
,
trans_mat
,
mat
);
/* The azimuth is applied as a rotation about the line of sight */
if
(
azimuth
!=
0
&&
!
splot_map
) {
mat_rot_z
(
azimuth
,
mat
);
mat_mult
(
trans_mat
,
trans_mat
,
mat
);
}
if
(
polar
)
int_error
(
NO_CARET
,
"Cannot splot in polar coordinate system."
);
/* In the case of a nonlinear z axis this points to the linear version */
/* that shadows it. Otherwise it just points to FIRST_Z_AXIS. */
primary_z
=
(
nonlinear
(
&
Z_AXIS
)) ?
Z_AXIS
.
linked_to_primary
:
&
Z_AXIS
;
/* absolute or relative placement of xyplane along z */
if
(
nonlinear
(
&
Z_AXIS
)) {
if
(
xyplane
.
absolute
) {
if
(
primary_z
->
log
&&
xyplane
.
z
<=
0
) {
base_z1
=
eval_link_function
(
primary_z
,
Z_AXIS
.
min
);
}
else
{
base_z1
=
eval_link_function
(
primary_z
,
xyplane
.
z
);
}
}
else
{
base_z1
=
primary_z
->
min
-
(
primary_z
->
max
-
primary_z
->
min
)
*
xyplane
.
z
;
}
base_z
=
eval_link_function
(
&
Z_AXIS
,
base_z1
);
}
else
{
if
(
xyplane
.
absolute
)
base_z1
=
xyplane
.
z
;
else
base_z1
=
primary_z
->
min
-
(
primary_z
->
max
-
primary_z
->
min
)
*
xyplane
.
z
;
base_z
=
base_z1
;
}
/* If we are to draw some portion of the xyplane make sure zmin is updated properly. */
if
(
X_AXIS
.
ticmode
||
Y_AXIS
.
ticmode
||
draw_border
&
0x00F
) {
if
(
primary_z
->
min
>
primary_z
->
max
) {
floor_z1
=
GPMAX
(
primary_z
->
min
,
base_z1
);
ceiling_z1
=
GPMIN
(
primary_z
->
max
,
base_z1
);
}
else
{
floor_z1
=
GPMIN
(
primary_z
->
min
,
base_z1
);
ceiling_z1
=
GPMAX
(
primary_z
->
max
,
base_z1
);
}
}
else
{
floor_z1
=
primary_z
->
min
;
ceiling_z1
=
primary_z
->
max
;
}
if
(
nonlinear
(
&
Z_AXIS
)) {
floor_z
=
eval_link_function
(
&
Z_AXIS
,
floor_z1
);
ceiling_z
=
eval_link_function
(
&
Z_AXIS
,
ceiling_z1
);
}
else
{
floor_z
=
floor_z1
;
ceiling_z
=
ceiling_z1
;
}
if
(
X_AXIS
.
min
==
X_AXIS
.
max
)
int_error
(
NO_CARET
,
"x_min3d should not equal x_max3d!"
);
if
(
Y_AXIS
.
min
==
Y_AXIS
.
max
)
int_error
(
NO_CARET
,
"y_min3d should not equal y_max3d!"
);
if
(
Z_AXIS
.
min
==
Z_AXIS
.
max
)
int_error
(
NO_CARET
,
"z_min3d should not equal z_max3d!"
);
/* Special case projections of the xz or yz plane */
/* Place x or y axis to the left of the plot */
xz_plane
=
yz_plane
=
FALSE;
if
(!
splot_map
&&
(
surface_rot_x
==
90
||
surface_rot_x
==
270
)) {
if
(
surface_rot_z
==
0
||
surface_rot_z
==
180
) {
xz_plane
=
TRUE;
base_z
=
floor_z
;
}
if
(
surface_rot_z
==
90
||
surface_rot_z
==
270
) {
yz_plane
=
TRUE;
if
(
surface_rot_x
==
270
||
yz_projection
)
base_z
=
ceiling_z
;
}
}
term_start_plot
();
(
term
->
layer
)(
TERM_LAYER_3DPLOT
);
screen_ok
=
FALSE;
/* Sync point for epslatex text positioning */
(
term
->
layer
)(
TERM_LAYER_BACKTEXT
);
/* now compute boundary for plot */
boundary3d
(
plots
,
pcount
);
axis_set_scale_and_range
(
&
axis_array
[
FIRST_X_AXIS
],
plot_bounds
.
xleft
,
plot_bounds
.
xright
);
axis_set_scale_and_range
(
&
axis_array
[
FIRST_Y_AXIS
],
plot_bounds
.
ybot
,
plot_bounds
.
ytop
);
axis_set_scale_and_range
(
&
axis_array
[
FIRST_Z_AXIS
],
floor_z
,
ceiling_z
);
/* SCALE FACTORS */
zscale3d
=
2.0
/ (
ceiling_z
-
floor_z
)
*
surface_zscale
;
yscale3d
=
2.0
/ (
Y_AXIS
.
max
-
Y_AXIS
.
min
);
xscale3d
=
2.0
/ (
X_AXIS
.
max
-
X_AXIS
.
min
);
if
(
nonlinear
(
&
X_AXIS
))
xscale3d
=
2.0
/ (
X_AXIS
.
linked_to_primary
->
max
-
X_AXIS
.
linked_to_primary
->
min
);
if
(
nonlinear
(
&
Y_AXIS
))
yscale3d
=
2.0
/ (
Y_AXIS
.
linked_to_primary
->
max
-
Y_AXIS
.
linked_to_primary
->
min
);
if
(
nonlinear
(
&
Z_AXIS
))
zscale3d
=
2.0
/ (
ceiling_z1
-
floor_z1
)
*
surface_zscale
;
/* Allow 'set view equal xy' to adjust rendered length of the X and/or Y axes. */
/* NB: only works correctly for terminals whose coordinate system is isotropic. */
xcenter3d
=
ycenter3d
=
zcenter3d
=
0.0
;
if
(
aspect_ratio_3D
>=
2
) {
if
(
yscale3d
>
xscale3d
) {
ycenter3d
=
1.0
-
xscale3d
/
yscale3d
;
yscale3d
=
xscale3d
;
}
else
if
(
xscale3d
>
yscale3d
) {
xcenter3d
=
1.0
-
yscale3d
/
xscale3d
;
xscale3d
=
yscale3d
;
}
if
(
aspect_ratio_3D
>=
3
)
zscale3d
=
xscale3d
;
}
/* FIXME: I do not understand why this is correct */
if
(
nonlinear
(
&
Z_AXIS
))
zcenter3d
=
0.0
;
/* Without this the rotation center would be located at */
/* the bottom of the plot. This places it in the middle.*/
else
zcenter3d
=
-
(
ceiling_z
-
floor_z
) /
2.0
*
zscale3d
+
1
;
/* Needed for mousing by outboard terminal drivers */
if
(
splot_map
) {
AXIS
*
X
=
&
axis_array
[
FIRST_X_AXIS
];
AXIS
*
Y
=
&
axis_array
[
FIRST_Y_AXIS
];
AXIS
*
Z
=
&
axis_array
[
FIRST_Z_AXIS
];
int
xl
,
xr
,
yb
,
yt
;
map3d_xy
(
X
->
min
,
Y
->
min
,
Z
->
min
,
&
xl
,
&
yb
);
map3d_xy
(
X
->
max
,
Y
->
max
,
Z
->
min
,
&
xr
,
&
yt
);
axis_set_scale_and_range
(
X
,
xl
,
xr
);
axis_set_scale_and_range
(
Y
,
yb
,
yt
);
}
/* Initialize palette */
if
(
replot_mode
!=
AXIS_ONLY_ROTATE
) {
can_pm3d
=
is_plot_with_palette
()
&&
!
make_palette
()
&&
((
term
->
flags
&
TERM_NULL_SET_COLOR
)
==
0
);
}
/* Give a chance for rectangles to be behind everything else */
place_objects
(
first_object
,
LAYER_BEHIND
,
3
);
if
(
replot_mode
!=
AXIS_ONLY_ROTATE
)
place_pixmaps
(
LAYER_BEHIND
,
3
);
term_apply_lp_properties
(
&
border_lp
);
/* border linetype */
/* must come before using draw_3d_graphbox() the first time */
setup_3d_box_corners
();
/* DRAW GRID AND BORDER */
/* Original behaviour: draw entire grid in back, if 'set grid back': */
/* HBB 20040331: but not if in hidden3d mode */
if
(
splot_map
&&
border_layer
!=
LAYER_FRONT
)
draw_3d_graphbox
(
plots
,
pcount
,
BORDERONLY
,
LAYER_BACK
);
else
if
(!
hidden3d
&&
(
grid_layer
==
LAYER_BACK
))
draw_3d_graphbox
(
plots
,
pcount
,
ALLGRID
,
LAYER_BACK
);
else
if
(!
hidden3d
&&
(
grid_layer
==
LAYER_BEHIND
))
/* Default layering mode. Draw the back part now, but not if
* hidden3d is in use, because that relies on all isolated
* lines being output after all surfaces have been defined. */
draw_3d_graphbox
(
plots
,
pcount
,
BACKGRID
,
LAYER_BACK
);
else
if
(
hidden3d
&&
border_layer
==
LAYER_BEHIND
)
draw_3d_graphbox
(
plots
,
pcount
,
ALLGRID
,
LAYER_BACK
);
/* Save state of plot_bounds before applying rotations, etc */
memcpy
(
&
page_bounds
,
&
plot_bounds
,
sizeof
(
page_bounds
));
/* Clipping in 'set view map' mode should be like 2D clipping */
if
(
splot_map
) {
int
map_x1
,
map_y1
,
map_x2
,
map_y2
;
map3d_xy
(
X_AXIS
.
min
,
Y_AXIS
.
min
,
base_z
,
&
map_x1
,
&
map_y1
);
map3d_xy
(
X_AXIS
.
max
,
Y_AXIS
.
max
,
base_z
,
&
map_x2
,
&
map_y2
);
plot_bounds
.
xleft
=
map_x1
;
plot_bounds
.
xright
=
map_x2
;
plot_bounds
.
ybot
=
map_y2
;
plot_bounds
.
ytop
=
map_y1
;
}
/* Define the clipping area in 3D to lie between the left-most and
* right-most graph box edges. This is introduced for the benefit of
* zooming in the canvas terminal. It may or may not make any practical
* difference for other terminals. If it causes problems, then we will need
* a separate BoundingBox structure to track the actual 3D graph box.
*/
else
if
(
azimuth
==
0
) {
int
xl
,
xb
,
xr
,
xf
,
yl
,
yb
,
yr
,
yf
;
map3d_xy
(
zaxis_x
,
zaxis_y
,
base_z
,
&
xl
,
&
yl
);
map3d_xy
(
back_x
,
back_y
,
base_z
,
&
xb
,
&
yb
);
map3d_xy
(
right_x
,
right_y
,
base_z
,
&
xr
,
&
yr
);
map3d_xy
(
front_x
,
front_y
,
base_z
,
&
xf
,
&
yf
);
plot_bounds
.
xleft
=
GPMIN
(
xl
,
xb
);
/* Always xl? */
plot_bounds
.
xright
=
GPMAX
(
xb
,
xr
);
/* Always xr? */
}
/* PLACE TITLE */
if
(
title
.
text
!=
0
) {
int
x
,
y
;
if
(
splot_map
) {
/* case 'set view map' */
int
map_x1
,
map_y1
,
map_x2
,
map_y2
;
int
tics_len
=
0
;
if
(
X_AXIS
.
ticmode
&
TICS_MIRROR
) {
tics_len
=
(
X_AXIS
.
ticscale
*
(
X_AXIS
.
tic_in
?
-1
:
1
)
*
(
term
->
v_tic
));
if
(
tics_len
<
0
)
tics_len
=
0
;
/* take care only about upward tics */
}
map3d_xy
(
X_AXIS
.
min
,
Y_AXIS
.
min
,
base_z
,
&
map_x1
,
&
map_y1
);
map3d_xy
(
X_AXIS
.
max
,
Y_AXIS
.
max
,
base_z
,
&
map_x2
,
&
map_y2
);
/* Distance between the title base line and graph top line or the upper part of
tics is as given by character height: */
x
=
((
map_x1
+
map_x2
) /
2
);
y
=
(
map_y1
+
tics_len
+
(
titlelin
+
0.5
)
*
(
t
->
v_char
));
if
(
splot_map
&&
axis_array
[
SECOND_X_AXIS
].
ticmode
)
y
+=
0.5
*
t
->
v_char
;
if
(
splot_map
&&
axis_array
[
SECOND_X_AXIS
].
label
.
text
)
y
+=
1.0
*
t
->
v_char
;
}
else
{
/* usual 3d set view ... */
x
=
(
plot_bounds
.
xleft
+
plot_bounds
.
xright
) /
2
;
y
=
(
plot_bounds
.
ytop
+
titlelin
*
(
t
->
h_char
));
}
/* Save title position for later */
title_x
=
x
;
title_y
=
y
;
}
/* PLACE TIMELABEL */
if
(
timelabel
.
text
) {
int
x
,
y
;
x
=
t
->
v_char
;
y
=
timelabel_bottom
?
yoffset
*
Y_AXIS
.
max
+
t
->
v_char
:
plot_bounds
.
ytop
-
t
->
v_char
;
do_timelabel
(
x
,
y
);
}
/* Add 'back' color box */
if
((
replot_mode
!=
AXIS_ONLY_ROTATE
)
&&
can_pm3d
&&
is_plot_with_colorbox
()
&&
color_box
.
layer
==
LAYER_BACK
)
draw_color_smooth_box
(
MODE_SPLOT
);
/* Grid walls */
place_objects
(
grid_wall
,
LAYER_BACK
,
3
);
/* pixmaps before objects so that a rectangle can be used as a border */
place_pixmaps
(
LAYER_BACK
,
3
);
/* Add 'back' rectangles */
place_objects
(
first_object
,
LAYER_BACK
,
3
);
/* PLACE LABELS */
place_labels3d
(
first_label
,
LAYER_BACK
);
/* PLACE ARROWS */
place_arrows3d
(
LAYER_BACK
);
/* Sync point for epslatex text positioning */
(
term
->
layer
)(
TERM_LAYER_FRONTTEXT
);
if
(
hidden3d
&&
draw_surface
&&
(
replot_mode
!=
AXIS_ONLY_ROTATE
)) {
init_hidden_line_removal
();
reset_hidden_line_removal
();
}
/* WORK OUT KEY POSITION AND SIZE */
do_3dkey_layout
(
key
,
&
xl
,
&
yl
);
/* "set key opaque" requires two passes, with the key drawn in the second pass */
xl_save
=
xl
;
yl_save
=
yl
;
SECOND_KEY_PASS
:
/* This tells the canvas, qt, and svg terminals to restart the plot */
/* count so that key titles are in sync with the plots they describe. */
(
term
->
layer
)(
TERM_LAYER_RESET_PLOTNO
);
/* Key box */
if
(
key
->
visible
) {
(
term
->
layer
)(
TERM_LAYER_KEYBOX
);
/* In two-pass mode, we blank out the key area after the graph */
/* is drawn and then redo the key in the blank area. */
if
(
key_pass
&&
t
->
fillbox
&&
!(
t
->
flags
&
TERM_NULL_SET_COLOR
)) {
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