#ifndef lint
static char *RCSid() { return RCSid("$Id: plot3d.c,v 1.68 2004/06/30 20:01:56 broeker Exp $"); }
#endif
/* GNUPLOT - plot3d.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.
]*/
#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 "eval.h"
#include "graph3d.h"
#include "misc.h"
#include "parse.h"
#include "term_api.h"
#include "util.h"
#ifdef PM3D
# include "pm3d.h"
#endif
#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;
int plot_has_palette = 0;
/* static prototypes */
#ifdef PM3D
static void set_plot_with_palette __PROTO((int plot_num));
#endif
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,
TBOOLEAN need_palette));
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));
#ifdef THIN_PLATE_SPLINES_GRID
static double splines_kernel __PROTO((double h));
#endif
/* 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(int num_samp_1, int num_iso_1, int num_samp_2, int num_iso_2)
{
struct surface_points *sp = gp_alloc(sizeof(*sp), "surface");
sp->next_sp = NULL;
sp->title = NULL;
sp->contours = NULL;
sp->iso_crvs = NULL;
sp->num_iso_read = 0;
#ifdef PM3D
sp->pm3d_color_from_column = FALSE;
sp->pm3d_where[0] = 0;
#endif
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 = 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(
struct surface_points *sp,
int num_samp_1, int num_iso_1, int num_samp_2, int 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 = 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(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;
/* change view to become map if requested by 'set view map' */
if (splot_map == TRUE)
splot_map_activate();
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);
#ifdef PM3D
AXIS_INIT3D(COLOR_AXIS, 0, 1);
#endif
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(double h)
{
#if 0
/* this is normaly not useful ... */
h = fabs(h);
if (h != 0.0) {
#else
if (h > 0) {
#endif
return h * h * log(h);
} else {
return 0;
}
}
#endif
#ifdef PM3D
/* Set flag plot_has_palette to 1 if there is any element on the graph
* which requires palette of continuous colors.
*/
static void
set_plot_with_palette(int plot_num)
{
struct surface_points *this_plot = first_3dplot;
int surface = 0;
struct text_label *this_label = first_label;
plot_has_palette = 1;
/* Is pm3d switched on globally? */
if (pm3d.where[0])
return;
/* Any surface 'with pm3d' or 'with line|dot palette'? */
while (surface < plot_num) {
if (this_plot->lp_properties.use_palette)
return;
this_plot = this_plot->next_sp;
surface++;
}
/* Any label with 'textcolor palette'? */
#define TC_USES_PALETTE(tctype) (tctype==TC_Z) || (tctype==TC_CB) || (tctype==TC_FRAC)
for (; this_label != NULL; this_label = this_label->next) {
if (TC_USES_PALETTE(this_label->textcolor.type))
return;
}
/* Any of title, xlabel, ylabel, zlabel, ... with 'textcolor palette'? */
if (TC_USES_PALETTE(title.textcolor.type)) return;
if (TC_USES_PALETTE(axis_array[FIRST_X_AXIS].label.textcolor.type)) return;
if (TC_USES_PALETTE(axis_array[FIRST_Y_AXIS].label.textcolor.type)) return;
if (TC_USES_PALETTE(axis_array[FIRST_Z_AXIS].label.textcolor.type)) return;
if (TC_USES_PALETTE(axis_array[COLOR_AXIS].label.textcolor.type)) return;
if (TC_USES_PALETTE(axis_array[SECOND_X_AXIS].label.textcolor.type)) return;
if (TC_USES_PALETTE(axis_array[SECOND_Y_AXIS].label.textcolor.type)) return;
#undef TC_USES_PALETTE
/* Palette with continuous colors is not used. */
plot_has_palette = 0;
}
int
is_plot_with_palette()
{
return plot_has_palette;
}
#endif
static void
grid_nongrid_data(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. */
/* FIXME HBB 20010424: Does this make any sense? Shouldn't we just
* use whatever the x and y ranges have been found to be, and
* that's that? The largest difference this is going to make is if
* we plot a datafile that doesn't span the whole x/y range
* used. Do we want a dgrid3d over the actual data rectangle, or
* over the xrange/yrange area? */
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++) {
/* HBB 20010424: avoid crashing for undefined input */
if (points->type == UNDEFINED)
continue;
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 = gp_alloc(sizeof(xx[0]) * (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 = gp_alloc(sizeof(K[0]) * (numpoints + 3),
"matrix : thin plate splines 2d");
yy = xx + numpoints;
zz = yy + numpoints;
b = zz + numpoints;
/* HBB 20010424: Count actual input points without the UNDEFINED
* ones, as we copy them */
numpoints = 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++) {
/* HBB 20010424: avoid crashing for undefined input */
if (opoints->type == UNDEFINED)
continue;
xx[numpoints] = opoints->x;
yy[numpoints] = opoints->y;
zz[numpoints] = opoints->z;
numpoints++;
}
}
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 = gp_alloc(sizeof(indx[0]) * (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;
/* as soon as ->type is changed to UNDEFINED, break out of
* two inner loops! */
points->type = INRANGE;
#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) {
/* 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 inner loop */
} else {
dist = 1.0 / dist;
z += opoints->z * dist;
w += dist;
}
}
if (points->type != INRANGE)
break; /* out of the second-inner loop as well ... */
}
#endif /* THIN_PLATE_SPLINES_GRID */
/* 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;
/* HBB 20010424: if log x or log y axis, we don't want to
* log() the value again --> just store it, and trust that
* it's always inrange */
points->x = x;
points->y = y;
#ifndef THIN_PLATE_SPLINES_GRID
z = z / w;
#endif
STORE_WITH_LOG_AND_UPDATE_RANGE(points->z, z, points->type, z_axis, NOOP, continue);
#ifdef PM3D
if (this_plot->pm3d_color_from_column)
int_error(NO_CARET, "Gridding of the color column is not implemented");
else {
COLOR_STORE_WITH_LOG_AND_UPDATE_RANGE(points->CRD_COLOR, z, points->type, COLOR_AXIS, NOOP, continue);
}
#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);
}
}
/* Get 3D data from file, and store into this_plot data
* structure. Takes care of 'set mapping' and 'set dgrid3d'.
*
* Notice: this_plot->token is end of datafile spec, before title etc
* will be moved past title etc after we return */
static void
get_3ddata(struct surface_points *this_plot)
{
int xdatum = 0;
int ydatum = 0;
int j;
#ifdef PM3D
double v[4];
#else
double v[3];
#endif
int pt_in_iso_crv = 0;
struct iso_curve *this_iso;
if (mapping3d == MAP3D_CARTESIAN) {
#ifndef PM3D
/* do this check only, if we have PM3D / PM3D-COLUMN not compiled in */
if (df_no_use_specs == 2)
int_error(this_plot->token, "Need 1 or 3 columns for cartesian data");
#endif
} 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;
#ifdef PM3D
this_plot->pm3d_color_from_column = FALSE;
#endif
/* 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, NEED_PALETTE(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;
#ifdef PM3D
double color = VERYLARGE;
int pm3d_color_from_column = FALSE;
#endif
while ((j = df_readline(v,
#ifdef PM3D
/* currently pm3d mapping is only implemented for
* MAP3D_CARTESIAN; and it is used if the 4th column is
* explicitly given */
(MAP3D_CARTESIAN
== mapping3d && df_no_use_specs==4)
? 4 : 3
#else
3
#endif /* PM3D */
)) != 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 || j == DF_MISSING) {
cp->type = UNDEFINED;
continue;
}
cp->type = INRANGE; /* unless we find out different */
switch (mapping3d) {
case MAP3D_CARTESIAN:
switch (j) {
#ifdef PM3D
case 2:
if (PM3DSURFACE != this_plot->plot_style) {
int_error(this_plot->token,
"2 columns only possible with explicit pm3d style (line %d)",
df_line_number);
return;
} else {
pm3d_color_from_column = TRUE;
color = v[1];
}
/* FALLTHRU */
#endif
case 1:
x = xdatum;
y = ydatum;
z = v[0];
break;
#ifdef PM3D
case 4:
if (df_no_use_specs==4) {
/* getting color from an explicitly given 4th column */
pm3d_color_from_column = TRUE;
x = v[0];
y = v[1];
z = v[2];
color = v[3];
break;
}
/* else FALLTHRU into the error message in default: */
#endif /* PM3D */
case 3:
x = v[0];
y = v[1];
z = v[2];
if (df_no_use_specs==0 || df_no_use_specs==3) /* because of FALLTHRU from case 4 */
break;
default:
{
int_error(this_plot->token,
"Wrong number of columns in input data - line %d",
df_line_number);
return; /* avoid gcc -Wuninitialised for x,y,z */
}
}
break;
case MAP3D_SPHERICAL:
/* TODO: pm3d color? (joze) 18 Dez 2000 */
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:
/* TODO: pm3d color? (joze) 18 Dez 2000 */
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);
if (dgrid3d) {
/* HBB 20010424: in dgrid3d mode, delay log() taking
* and scaling until after the dgrid process. Only for
* z, not for x and y, so we can layout the newly
* created created grid more easily. */
cp->z = z;
} else {
STORE_WITH_LOG_AND_UPDATE_RANGE(cp->z, z, cp->type, z_axis, NOOP, goto come_here_if_undefined);
#ifdef PM3D
if (NEED_PALETTE(this_plot)) {
if (pm3d_color_from_column) {
COLOR_STORE_WITH_LOG_AND_UPDATE_RANGE(cp->CRD_COLOR, color, cp->type, COLOR_AXIS, NOOP, goto come_here_if_undefined);
} else {
COLOR_STORE_WITH_LOG_AND_UPDATE_RANGE(cp->CRD_COLOR, z, cp->type, COLOR_AXIS, NOOP, goto come_here_if_undefined);
}
}
#endif
}
/* some may complain, but I regard this as the correct use
* of goto
*/
come_here_if_undefined:
++xdatum;
} /* end of whileloop - end of surface */
#ifdef PM3D
if (pm3d_color_from_column) {
this_plot->pm3d_color_from_column = pm3d_color_from_column;
}
#endif
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 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;
int i;
/* 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(int pcount)
{
struct surface_points *this_plot;
int i, surface;
struct coordinate GPHUGE *point;
char *buffer = gp_alloc(150, "print_3dtable output buffer");
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);
if (draw_surface) {
struct iso_curve *icrvs;
int curve;
/* only the curves in one direction */
for (curve = 0, icrvs = this_plot->iso_crvs;
icrvs && curve < this_plot->num_iso_read;
icrvs = icrvs->next, curve++) {
fprintf(gpoutfile, "\n#IsoCurve %d, %d points\n#x y z type\n",
curve, icrvs->p_count);
for (i = 0, point = icrvs->points;
i < icrvs->p_count;
i++, point++) {
/* HBB 20020405: new macro to use the 'set format'
* in their full flexibility */
#define OUTPUT_NUMBER(field, axis) \
gprintf(buffer, 150, axis_array[axis].formatstring, \
1.0, point->field); \
fputs(buffer, gpoutfile); \
fputc(' ', gpoutfile);
OUTPUT_NUMBER(x, FIRST_X_AXIS);
OUTPUT_NUMBER(y, FIRST_Y_AXIS);
OUTPUT_NUMBER(z, FIRST_Z_AXIS);
fprintf(gpoutfile, "%c\n",
point->type == INRANGE
? 'i' : point->type == OUTRANGE
? 'o' : 'u');
} /* for(point) */
} /* for(icrvs) */
putc('\n', gpoutfile);
} /* if(draw_surface) */
if (draw_contour) {
int number = 0;
struct gnuplot_contours *c = this_plot->contours;
while (c) {
int count = c->num_pts;
struct coordinate GPHUGE *point = c->coords;
if (c->isNewLevel)
/* don't 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; ++point) {
OUTPUT_NUMBER(x, FIRST_X_AXIS);
OUTPUT_NUMBER(y, FIRST_Y_AXIS);
OUTPUT_NUMBER(z, FIRST_Z_AXIS);
putc('\n', gpoutfile);
}
/* blank line between segments of same contour */
putc('\n', gpoutfile);
c = c->next;
#undef OUTPUT_NUMBER
} /* while (contour) */
} /* if (draw_contour) */
} /* for(surface) */
fflush(gpoutfile);
free(buffer);
}
/* 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(
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,
TBOOLEAN need_palette)
{
int i, j;
struct coordinate GPHUGE *points = (*this_iso)->points;
#ifndef PM3D
(void) need_palette; /* Avoid -Wunused */
#endif
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);
#ifdef PM3D
if (need_palette) {
COLOR_STORE_WITH_LOG_AND_UPDATE_RANGE(points[i].CRD_COLOR, temp, points[i].type, COLOR_AXIS, NOOP, NOOP);
}
#endif
}
(*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;
char *xtitle;
char *ytitle;
legend_key *key = &keyT;
/* Reset first_3dplot. This is usually done at the end of this function.
* If there is an error within this function, the memory is left allocated,
* since we cannot call sp_free if the list is incomplete
*/
if (first_3dplot && plot3d_num>0)
sp_free(first_3dplot);
plot3d_num=0;
first_3dplot = NULL;
x_axis = FIRST_X_AXIS;
y_axis = FIRST_Y_AXIS;
z_axis = FIRST_Z_AXIS;
tp_3d_ptr = &(first_3dplot);
plot_num = 0;
line_num = 0; /* default line type */
point_num = 0; /* default point type */
xtitle = NULL;
ytitle = NULL;
begin_token = c_token;
/*** First Pass: Read through data files ***/
/*
* This pass serves to set the x/yranges and to parse the command, as
* well as filling in every thing except the function data. That is done
* after the x/yrange is defined.
*/
while (TRUE) {
if (END_OF_COMMAND)
int_error(c_token, "function to plot expected");
start_token = c_token;
if (is_definition(c_token)) {
define();
} else {
int specs;
struct surface_points *this_plot;
TBOOLEAN duplication = FALSE;
TBOOLEAN set_title = FALSE, set_with = FALSE;
TBOOLEAN set_lpstyle = FALSE;
if (isstring(c_token)) { /* data file to plot */
/*{{{ data file */
if (parametric && crnt_param != 0)
int_error(c_token, "previous parametric function not fully specified");
if (!some_data_files) {
if (axis_array[FIRST_X_AXIS].autoscale & AUTOSCALE_MIN) {
axis_array[FIRST_X_AXIS].min = VERYLARGE;
}
if (axis_array[FIRST_X_AXIS].autoscale & AUTOSCALE_MAX) {
axis_array[FIRST_X_AXIS].max = -VERYLARGE;
}
if (axis_array[FIRST_Y_AXIS].autoscale & AUTOSCALE_MIN) {
axis_array[FIRST_Y_AXIS].min = VERYLARGE;
}
if (axis_array[FIRST_Y_AXIS].autoscale & AUTOSCALE_MAX) {
axis_array[FIRST_Y_AXIS].max = -VERYLARGE;
}
some_data_files = TRUE;
}
if (*tp_3d_ptr)
this_plot = *tp_3d_ptr;
else { /* no memory malloc()'d there yet */
/* Allocate enough isosamples and samples */
this_plot = sp_alloc(0, 0, 0, 0);
*tp_3d_ptr = this_plot;
}
this_plot->plot_type = DATA3D;
this_plot->plot_style = data_style;
#ifdef PM3D
specs = df_open(4);
#if 0
/* PM 3.7.2002: this fallback is no more necessary */
if ((2 == specs || 4 == specs) && MAP3D_CARTESIAN == mapping3d) {
/* switch default to pm3d */
this_plot->plot_style = PM3DSURFACE;
}
#endif
#else
specs = df_open(3);
#endif
/* parses all datafile-specific modifiers */
/* we will load the data after parsing title,with,... */
/* for capture to key */
this_plot->token = end_token = c_token - 1;
/* this_plot->token is temporary, for errors in get_3ddata() */
if (specs < 3) {
if (axis_array[FIRST_X_AXIS].is_timedata) {
int_error(c_token, "Need full using spec for x time data");
}
if (axis_array[FIRST_Y_AXIS].is_timedata) {
int_error(c_token, "Need full using spec for y time data");
}
/* df_axis[0] = FIRST_Z_AXIS; */
} /* else */ { /* HBB 20000725: testestest */
df_axis[0] = FIRST_X_AXIS;
df_axis[1] = FIRST_Y_AXIS;
df_axis[2] = FIRST_Z_AXIS;
}
/*}}} */
} else { /* function to plot */
/*{{{ function */
++plot_num;
if (parametric) {
/* Rotate between x/y/z axes */
/* +2 same as -1, but beats -ve problem */
crnt_param = (crnt_param + 2) % 3;
}
if (*tp_3d_ptr) {
this_plot = *tp_3d_ptr;
if (!hidden3d)
sp_replace(this_plot, samples_1, iso_samples_1,
samples_2, iso_samples_2);
else
sp_replace(this_plot, iso_samples_1, 0,
0, iso_samples_2);
} else { /* no memory malloc()'d there yet */
/* Allocate enough isosamples and samples */
if (!hidden3d)
this_plot = sp_alloc(samples_1, iso_samples_1,
samples_2, iso_samples_2);
else
this_plot = sp_alloc(iso_samples_1, 0,
0, iso_samples_2);
*tp_3d_ptr = this_plot;
}
this_plot->plot_type = FUNC3D;
this_plot->has_grid_topology = TRUE;
this_plot->plot_style = func_style;
this_plot->num_iso_read = iso_samples_2;
dummy_func = &plot_func;
plot_func.at = temp_at();
dummy_func = NULL;
/* ignore it for now */
some_functions = TRUE;
end_token = c_token - 1;
/*}}} */
} /* end of IS THIS A FILE OR A FUNC block */
/* clear current title, if exist */
if (this_plot->title) {
free(this_plot->title);
this_plot->title = NULL;
}
/* default line and point types, no palette */
#ifdef PM3D
this_plot->lp_properties.use_palette = 0;
#endif
this_plot->lp_properties.l_type = line_num;
this_plot->lp_properties.p_type = point_num;
/* pm 25.11.2001 allow any order of options */
while (!END_OF_COMMAND) {
/* deal with title */
if (almost_equals(c_token, "t$itle")) {
if (set_title) {
duplication=TRUE;
break;
}
this_plot->title_no_enhanced = !key->enhanced;
/* title can be enhanced if not explicitly disabled */
if (parametric) {
if (crnt_param != 0)
int_error(c_token, "\"title\" allowed only after parametric function fully specified");
else {
if (xtitle != NULL)
xtitle[0] = NUL; /* Remove default title . */
if (ytitle != NULL)
ytitle[0] = NUL; /* Remove default title . */
}
}
if (isstring(++c_token))
m_quote_capture(&(this_plot->title), c_token, c_token);
else
int_error(c_token, "expecting \"title\" for plot");
/* end of new method */
c_token++;
set_title = TRUE;
continue;
}
if (almost_equals(c_token, "not$itle")) {
if (set_title) {
duplication=TRUE;
break;
}
if (xtitle != NULL)
xtitle[0] = '\0';
if (ytitle != NULL)
ytitle[0] = '\0';
/* this_plot->title = NULL; */
c_token++;
set_title = TRUE;
continue;
}
/* deal with style */
if (almost_equals(c_token, "w$ith")) {
if (set_with) {
duplication=TRUE;
break;
}
this_plot->plot_style = get_style();
if ((this_plot->plot_type == FUNC3D)
&& (this_plot->plot_style & PLOT_STYLE_HAS_ERRORBAR))
{
int_warn(c_token, "This plot style is only for datafiles , reverting to \"points\"");
this_plot->plot_style = POINTSTYLE;
}
#ifdef PM3D
if ((this_plot->plot_style | data_style) & PM3DSURFACE) {
if (equals(c_token, "at")) {
/* option 'with pm3d [at ...]' is explicitly specified */
c_token++;
if (get_pm3d_at_option(&this_plot->pm3d_where[0]))
return; /* error */
}
}
#endif
set_with = TRUE;
continue;
}
/* pick up line/point specs
* - point spec allowed if style uses points, ie style&2 != 0
* - keywords are optional
*/
{
int stored_token = c_token;
struct lp_style_type lp;
lp_parse(&lp, 1,
this_plot->plot_style & PLOT_STYLE_HAS_POINT,
line_num, point_num);
if (stored_token != c_token) {
if (set_lpstyle) {
duplication=TRUE;
break;
} else {
this_plot->lp_properties = lp;
set_lpstyle = TRUE;
continue;
}
}
}
break; /* unknown option */
} /* while (!END_OF_COMMAND) */
if (duplication)
int_error(c_token, "duplicated or contradicting arguments in plot options");
#ifdef PM3D
if (df_no_use_specs==4 &&
!(this_plot->lp_properties.use_palette ||
pm3d.where[0] || this_plot->pm3d_where[0] || this_plot->plot_style & PM3DSURFACE))
int_error(c_token, "`using` with 4 parameters but surface without `pm3d` or `palette`");
#endif
/* set default values for title if this has not been specified */
if (!set_title) {
this_plot->title_no_enhanced = 1; /* filename or function cannot be enhanced */
if (key->auto_titles) {
if (this_plot->plot_type == DATA3D && df_binary==TRUE && end_token==start_token+1)
/* let default title for splot 'a.dat' binary is 'a.dat'
* while for 'a.dat' binary using 2:1:3 will be all 4 words */
m_capture(&(this_plot->title), start_token, start_token);
else
m_capture(&(this_plot->title), start_token, end_token);
if (crnt_param == 2)
xtitle = this_plot->title;
else if (crnt_param == 1)
ytitle = this_plot->title;
} else {
if (xtitle != NULL)
xtitle[0] = '\0';
if (ytitle != NULL)
ytitle[0] = '\0';
/* this_plot->title = NULL; */
}
}
/* No line/point style given. As lp_parse also supplies
* the defaults for linewidth and pointsize, call it now
* to define them. */
if (! set_lpstyle) {
lp_parse(&this_plot->lp_properties, 1,
this_plot->plot_style & PLOT_STYLE_HAS_POINT,
line_num, point_num);
/* allow old-style syntax too - ignore case lt 3 4 for
* example */
if (!equals(c_token, ",") && !END_OF_COMMAND) {
struct value t;
this_plot->lp_properties.l_type =
this_plot->lp_properties.p_type =
(int) real(const_express(&t)) - 1;
if (!equals(c_token, ",") && !END_OF_COMMAND)
this_plot->lp_properties.p_type =
(int) real(const_express(&t)) - 1;
}
}
if (crnt_param == 0
#ifdef PM3D
&& this_plot->plot_style != PM3DSURFACE
/* don't increment the default line/point properties if
* this_plot is an EXPLICIT pm3d surface plot */
#endif
) {
if (this_plot->plot_style & PLOT_STYLE_HAS_POINT)
point_num += 1 + (draw_contour != 0) + (hidden3d != 0);
line_num += 1 + (draw_contour != 0) + (hidden3d != 0);
}
#ifdef PM3D
/* For historical reasons, "set pm3d" must be set before drawing a
* pm3d surface. Maybe it is no more necessary as "with ... palette"
* does neither require that. We can refrain from this requirement in
* future => there should be a 'pm3d.on' accompanying 'pm3d.where'.
*/
if (this_plot->plot_style == PM3DSURFACE && !pm3d.where[0])
int_warn(NO_CARET, "ignoring pm3d style without previous 'set pm3d'");
#endif
/* now get the data... having to think hard here...
* first time through, we fill in this_plot. For second
* surface in file, we have to allocate another surface
* struct. BUT we may allocate this store only to
* find that it is merely some blank lines at end of file
* tp_3d_ptr is still pointing at next field of prev. plot,
* before : prev_or_first -> this_plot -> possible_preallocated_store
* tp_3d_ptr--^
* after : prev_or_first -> first -> second -> last -> possibly_more_store
* tp_3d_ptr ----^
* if file is empty, tp_3d_ptr is not moved. this_plot continues
* to point at allocated storage, but that will be reused later
*/
assert(this_plot == *tp_3d_ptr);
if (this_plot->plot_type == DATA3D) {
/*{{{ read data */
/* remember settings for second surface in file */
struct lp_style_type *these_props = &(this_plot->lp_properties);
enum PLOT_STYLE this_style = this_plot->plot_style;
int this_token = this_plot->token;
while (!df_eof) {
this_plot = *tp_3d_ptr;
assert(this_plot != NULL);
/* dont move tp_3d_ptr until we are sure we
* have read a surface
*/
/* used by get_3ddata() */
this_plot->token = this_token;
get_3ddata(this_plot);
/* for second pass */
this_plot->token = c_token;
if (this_plot->num_iso_read == 0)
/* probably df_eof, in which case we
* will leave loop. if not eof, then
* how come we got no surface ? - retry
* in neither case do we update tp_3d_ptr
*/
continue;
/* okay, we have read a surface */
++plot_num;
tp_3d_ptr = &(this_plot->next_sp);
if (df_eof)
break;
/* there might be another surface so allocate
* and prepare another surface structure
* This does no harm if in fact there are
* no more surfaces to read
*/
if ((this_plot = *tp_3d_ptr) != NULL) {
if (this_plot->title) {
free(this_plot->title);
this_plot->title = NULL;
}
} else {
/* Allocate enough isosamples and samples */
this_plot = *tp_3d_ptr = sp_alloc(0, 0, 0, 0);
}
this_plot->plot_type = DATA3D;
this_plot->plot_style = this_style;
/* Struct copy */
this_plot->lp_properties = *these_props;
}
df_close();
/*}}} */
} else { /* not a data file */
tp_3d_ptr = &(this_plot->next_sp);
this_plot->token = c_token; /* store for second pass */
}
} /* !is_definition() : end of scope of this_plot */
if (equals(c_token, ","))
c_token++;
else
break;
} /* while(TRUE), ie first pass */
if (parametric && crnt_param != 0)
int_error(NO_CARET, "parametric function not fully specified");
/*** Second Pass: Evaluate the functions ***/
/*
* Everything is defined now, except the function data. We expect no
* syntax errors, etc, since the above parsed it all. This makes the code
* below simpler. If axis_array[FIRST_Y_AXIS].autoscale, the yrange may still change.
* - eh ? - z can still change. x/y/z can change if we are parametric ??
*/
if (some_functions) {
/* I've changed the controlled variable in fn plots to u_min etc since
* it's easier for me to think parametric - 'normal' plot is after all
* a special case. I was confused about x_min being both minimum of
* x values found, and starting value for fn plots.
*/
double u_min, u_max, u_step, v_min, v_max, v_step;
double u_isostep, v_isostep;
AXIS_INDEX u_axis, v_axis;
struct surface_points *this_plot;
/* Make these point out the right 'u' and 'v' axis. In
* non-parametric mode, x is used as u, and y as v */
u_axis = parametric ? U_AXIS : FIRST_X_AXIS;
v_axis = parametric ? V_AXIS : FIRST_Y_AXIS;
if (!parametric) {
/*{{{ check ranges */
/* give error if xrange badly set from missing datafile error
* parametric fn can still set ranges
* if there are no fns, we'll report it later as 'nothing to plot'
*/
/* check that xmin -> xmax is not too small */
axis_checked_extend_empty_range(FIRST_X_AXIS, "x range is invalid");
axis_checked_extend_empty_range(FIRST_Y_AXIS, "y range is invalid");
/*}}} */
}
if (parametric && !some_data_files) {
/*{{{ set ranges */
/* parametric fn can still change x/y range */
if (axis_array[FIRST_X_AXIS].autoscale & AUTOSCALE_MIN)
axis_array[FIRST_X_AXIS].min = VERYLARGE;
if (axis_array[FIRST_X_AXIS].autoscale & AUTOSCALE_MAX)
axis_array[FIRST_X_AXIS].max = -VERYLARGE;
if (axis_array[FIRST_Y_AXIS].autoscale & AUTOSCALE_MIN)
axis_array[FIRST_Y_AXIS].min = VERYLARGE;
if (axis_array[FIRST_Y_AXIS].autoscale & AUTOSCALE_MAX)
axis_array[FIRST_Y_AXIS].max = -VERYLARGE;
/*}}} */
}
/*{{{ figure ranges, taking logs etc into account */
u_min = axis_log_value_checked(u_axis, axis_array[u_axis].min, "x range");
u_max = axis_log_value_checked(u_axis, axis_array[u_axis].max, "x range");
v_min = axis_log_value_checked(v_axis, axis_array[v_axis].min, "y range");
v_max = axis_log_value_checked(v_axis, axis_array[v_axis].max, "y range");
/*}}} */
if (samples_1 < 2 || samples_2 < 2 || iso_samples_1 < 2 ||
iso_samples_2 < 2) {
int_error(NO_CARET, "samples or iso_samples < 2. Must be at least 2.");
}
/* start over */
this_plot = first_3dplot;
c_token = begin_token;
/* why do attributes of this_plot matter ? */
/* FIXME HBB 20000501: I think they don't, actually. I'm
* taking out references to has_grid_topology in this part of
* the code. It only deals with function, which always is
* gridded */
if (hidden3d) {
u_step = (u_max - u_min) / (iso_samples_1 - 1);
v_step = (v_max - v_min) / (iso_samples_2 - 1);
} else {
u_step = (u_max - u_min) / (samples_1 - 1);
v_step = (v_max - v_min) / (samples_2 - 1);
}
u_isostep = (u_max - u_min) / (iso_samples_1 - 1);
v_isostep = (v_max - v_min) / (iso_samples_2 - 1);
/* Read through functions */
while (TRUE) {
if (is_definition(c_token)) {
define();
} else {
if (!isstring(c_token)) { /* func to plot */
/*{{{ evaluate function */
struct iso_curve *this_iso = this_plot->iso_crvs;
int num_sam_to_use, num_iso_to_use;
/* crnt_param is used as the axis number. As the
* axis array indices are ordered z, y, x, we have
* to count *backwards*, starting starting at 2,
* to properly store away contents to x, y and
* z. The following little gimmick does that. */
if (parametric)
crnt_param = (crnt_param + 2) % 3;
dummy_func = &plot_func;
plot_func.at = temp_at(); /* reparse function */
dummy_func = NULL;
num_iso_to_use = iso_samples_2;
num_sam_to_use = hidden3d ? iso_samples_1 : samples_1;
calculate_set_of_isolines(crnt_param, FALSE, &this_iso,
v_axis, v_min, v_isostep,
num_iso_to_use,
u_axis, u_min, u_step,
num_sam_to_use,
NEED_PALETTE(this_plot));
if (!hidden3d) {
num_iso_to_use = iso_samples_1;
num_sam_to_use = samples_2;
calculate_set_of_isolines(crnt_param, TRUE, &this_iso,
u_axis, u_min, u_isostep,
num_iso_to_use,
v_axis, v_min, v_step,
num_sam_to_use,
NEED_PALETTE(this_plot));
}
/*}}} */
} /* end of ITS A FUNCTION TO PLOT */
/* we saved it from first pass */
c_token = this_plot->token;
/* one data file can make several plots */
do
this_plot = this_plot->next_sp;
while (this_plot && this_plot->token == c_token);
} /* !is_definition */
if (equals(c_token, ","))
c_token++;
else
break;
} /* while(TRUE) */
if (parametric) {
/* Now actually fix the plot triplets to be single plots. */
parametric_3dfixup(first_3dplot, &plot_num);
}
} /* some functions */
/* if first_3dplot is NULL, we have no functions or data at all.
* This can happen, if you type "splot x=5", since x=5 is a
* variable assignment
*/
if (plot_num == 0 || first_3dplot == NULL) {
int_error(c_token, "no functions or data to plot");
}
axis_checked_extend_empty_range(FIRST_X_AXIS, "All points x value undefined");
axis_checked_extend_empty_range(FIRST_Y_AXIS, "All points y value undefined");
axis_checked_extend_empty_range(FIRST_Z_AXIS, "All points z value undefined");
axis_revert_and_unlog_range(FIRST_X_AXIS);
axis_revert_and_unlog_range(FIRST_Y_AXIS);
axis_revert_and_unlog_range(FIRST_Z_AXIS);
setup_tics(FIRST_X_AXIS, 20);
setup_tics(FIRST_Y_AXIS, 20);
setup_tics(FIRST_Z_AXIS, 20);
#ifdef PM3D
set_plot_with_palette(plot_num);
if (is_plot_with_palette()) {
set_cbminmax();
axis_checked_extend_empty_range(COLOR_AXIS, "All points of colorbox value undefined");
/* axis_revert_and_unlog_range(COLOR_AXIS); */
/* fprintf(stderr,"plot3d.c: CB_AXIS.min=%g\tCB_AXIS.max=%g\n",CB_AXIS.min,CB_AXIS.max); */
}
#endif
AXIS_WRITEBACK(FIRST_X_AXIS);
if (plot_num == 0 || first_3dplot == NULL) {
int_error(c_token, "no functions or data to plot");
}
/* Creates contours if contours are to be plotted as well. */
if (draw_contour) {
struct surface_points *this_plot;
for (this_plot = first_3dplot, i = 0;
i < plot_num;
this_plot = this_plot->next_sp, i++) {
if (this_plot->contours) {
struct gnuplot_contours *cntrs = this_plot->contours;
while (cntrs) {
struct gnuplot_contours *cntr = cntrs;
cntrs = cntrs->next;
free(cntr->coords);
free(cntr);
}
}
/* Make sure this one can be contoured. */
if (!this_plot->has_grid_topology) {
this_plot->contours = NULL;
fputs("Notice: cannot contour non grid data!\n", stderr);
/* changed from int_error by recommendation of
* rkc@xn.ll.mit.edu
*/
} else if (this_plot->plot_type == DATA3D) {
this_plot->contours = contour(this_plot->num_iso_read,
this_plot->iso_crvs);
} else {
this_plot->contours = contour(iso_samples_2,
this_plot->iso_crvs);
}
}
} /* draw_contour */
/* the following ~9 lines were moved from the end of the
* function to here, as do_3dplot calles term->text, which
* itself might process input events in mouse enhanced
* terminals. For redrawing to work, line capturing and
* setting the plot3d_num must already be done before
* entering do_3dplot(). Thu Jan 27 23:54:49 2000 (joze) */
/* if we get here, all went well, so record the line for replot */
if (plot_token != -1) {
/* note that m_capture also frees the old replot_line */
m_capture(&replot_line, plot_token, c_token - 1);
plot_token = -1;
}
/* record that all went well */
plot3d_num=plot_num;
/* perform the plot */
if (strcmp(term->name, "table") == 0)
print_3dtable(plot_num);
else {
START_LEAK_CHECK(); /* assert no memory leaks here ! */
do_3dplot(first_3dplot, plot_num, 0);
END_LEAK_CHECK();
/* after do_3dplot(), axis_array[] and max_array[].min
* contain the plotting range actually used (rounded
* to tic marks, not only the min/max data values)
* --> save them now for writeback if requested
*/
SAVE_WRITEBACK_ALL_AXES;
}
}
/*
* The hardest part of this routine is collapsing the FUNC plot types in the
* list (which are gauranteed to occur in (x,y,z) triplets while preserving
* the non-FUNC type plots intact. This means we have to work our way
* through various lists. Examples (hand checked):
* start_plot:F1->F2->F3->NULL ==> F3->NULL
* start_plot:F1->F2->F3->F4->F5->F6->NULL ==> F3->F6->NULL
* start_plot:F1->F2->F3->D1->D2->F4->F5->F6->D3->NULL ==>
* F3->D1->D2->F6->D3->NULL
*
* x and y ranges now fixed in eval_3dplots
*/
static void
parametric_3dfixup(struct surface_points *start_plot, int *plot_num)
{
struct surface_points *xp, *new_list, *free_list = NULL;
struct surface_points **last_pointer = &new_list;
size_t tlen;
int i, surface;
char *new_title;
/*
* Ok, go through all the plots and move FUNC3D types together. Note:
* this originally was written to look for a NULL next pointer, but
* gnuplot wants to be sticky in grabbing memory and the right number of
* items in the plot list is controlled by the plot_num variable.
*
* Since gnuplot wants to do this sticky business, a free_list of
* surface_points is kept and then tagged onto the end of the plot list
* as this seems more in the spirit of the original memory behavior than
* simply freeing the memory. I'm personally not convinced this sort of
* concern is worth it since the time spent computing points seems to
* dominate any garbage collecting that might be saved here...
*/
new_list = xp = start_plot;
for (surface = 0; surface < *plot_num; surface++) {
if (xp->plot_type == FUNC3D) {
struct surface_points *yp = xp->next_sp;
struct surface_points *zp = yp->next_sp;
/* Here's a FUNC3D parametric function defined as three parts.
* Go through all the points and assign the x's and y's from xp and
* yp to zp. min/max already done
*/
struct iso_curve *xicrvs = xp->iso_crvs;
struct iso_curve *yicrvs = yp->iso_crvs;
struct iso_curve *zicrvs = zp->iso_crvs;
(*plot_num) -= 2;
assert(INRANGE < OUTRANGE && OUTRANGE < UNDEFINED);
while (zicrvs) {
struct coordinate GPHUGE *xpoints = xicrvs->points;
struct coordinate GPHUGE *ypoints = yicrvs->points;
struct coordinate GPHUGE *zpoints = zicrvs->points;
for (i = 0; i < zicrvs->p_count; ++i) {
zpoints[i].x = xpoints[i].z;
zpoints[i].y = ypoints[i].z;
if (zpoints[i].type < xpoints[i].type)
zpoints[i].type = xpoints[i].type;
if (zpoints[i].type < ypoints[i].type)
zpoints[i].type = ypoints[i].type;
}
xicrvs = xicrvs->next;
yicrvs = yicrvs->next;
zicrvs = zicrvs->next;
}
#if 0 /* FIXME HBB 20001101: seems to cause a crash */
if (first_3dplot)
sp_free(first_3dplot);
first_3dplot = NULL;
#endif
/* Ok, fix up the title to include xp and yp plots. */
if (((xp->title && xp->title[0] != '\0') ||
(yp->title && yp->title[0] != '\0')) && zp->title) {
tlen = (xp->title ? strlen(xp->title) : 0) +
(yp->title ? strlen(yp->title) : 0) +
(zp->title ? strlen(zp->title) : 0) + 5;
new_title = gp_alloc(tlen, "string");
new_title[0] = 0;
if (xp->title && xp->title[0] != '\0') {
strcat(new_title, xp->title);
strcat(new_title, ", "); /* + 2 */
}
if (yp->title && yp->title[0] != '\0') {
strcat(new_title, yp->title);
strcat(new_title, ", "); /* + 2 */
}
strcat(new_title, zp->title);
free(zp->title);
zp->title = new_title;
}
/* add xp and yp to head of free list */
assert(xp->next_sp == yp);
yp->next_sp = free_list;
free_list = xp;
/* add zp to tail of new_list */
*last_pointer = zp;
last_pointer = &(zp->next_sp);
xp = zp->next_sp;
} else { /* its a data plot */
assert(*last_pointer == xp); /* think this is true ! */
last_pointer = &(xp->next_sp);
xp = xp->next_sp;
}
}
/* Ok, append free list and write first_plot */
*last_pointer = free_list;
first_3dplot = new_list;
}