windows-nt/Source/XPSP1/NT/multimedia/opengl/test/demos/backtrac/unitdisk.cxx

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2020-09-26 03:20:57 -05:00
/*
* (c) Copyright 1993, Silicon Graphics, Inc.
* ALL RIGHTS RESERVED
* Permission to use, copy, modify, and distribute this software for
* any purpose and without fee is hereby granted, provided that the above
* copyright notice appear in all copies and that both the copyright notice
* and this permission notice appear in supporting documentation, and that
* the name of Silicon Graphics, Inc. not be used in advertising
* or publicity pertaining to distribution of the software without specific,
* written prior permission.
*
* THE MATERIAL EMBODIED ON THIS SOFTWARE IS PROVIDED TO YOU "AS-IS"
* AND WITHOUT WARRANTY OF ANY KIND, EXPRESS, IMPLIED OR OTHERWISE,
* INCLUDING WITHOUT LIMITATION, ANY WARRANTY OF MERCHANTABILITY OR
* FITNESS FOR A PARTICULAR PURPOSE. IN NO EVENT SHALL SILICON
* GRAPHICS, INC. BE LIABLE TO YOU OR ANYONE ELSE FOR ANY DIRECT,
* SPECIAL, INCIDENTAL, INDIRECT OR CONSEQUENTIAL DAMAGES OF ANY
* KIND, OR ANY DAMAGES WHATSOEVER, INCLUDING WITHOUT LIMITATION,
* LOSS OF PROFIT, LOSS OF USE, SAVINGS OR REVENUE, OR THE CLAIMS OF
* THIRD PARTIES, WHETHER OR NOT SILICON GRAPHICS, INC. HAS BEEN
* ADVISED OF THE POSSIBILITY OF SUCH LOSS, HOWEVER CAUSED AND ON
* ANY THEORY OF LIABILITY, ARISING OUT OF OR IN CONNECTION WITH THE
* POSSESSION, USE OR PERFORMANCE OF THIS SOFTWARE.
*
* US Government Users Restricted Rights
* Use, duplication, or disclosure by the Government is subject to
* restrictions set forth in FAR 52.227.19(c)(2) or subparagraph
* (c)(1)(ii) of the Rights in Technical Data and Computer Software
* clause at DFARS 252.227-7013 and/or in similar or successor
* clauses in the FAR or the DOD or NASA FAR Supplement.
* Unpublished-- rights reserved under the copyright laws of the
* United States. Contractor/manufacturer is Silicon Graphics,
* Inc., 2011 N. Shoreline Blvd., Mountain View, CA 94039-7311.
*
* OpenGL(TM) is a trademark of Silicon Graphics, Inc.
*/
extern "C" {
#include <windows.h>
#include <GL/glu.h>
}
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include "Unitdisk.hxx"
const float fudge = .000001;
const float M_2PI = 2.0 * M_PI;
Unitdisk::Unitdisk()
{
rdivisions = 3;
tdivisions = 10;
points = normals = NULL;
colors = NULL;
points_size = normals_size = colors_size = 0;
angle = M_PI;
zaxis[0] = 0;
zaxis[1] = 0;
zaxis[2] = 1;
still_in_xy = 1;
sintable = costable = NULL;
}
Unitdisk::~Unitdisk()
{
}
void Unitdisk::draw()
{
if (points == NULL) return;
glNormal3f(0, 0, 1);
if (colors == NULL) draw_nocolors();
else if (normals == NULL) draw_colors_nonormals();
else draw_colors_normals();
}
void Unitdisk::draw_nocolors()
{
int r, t, p1, p2;
int has_n;
has_n = (normals != NULL);
for (t = 1; t < tdivisions; t++) {
glBegin(GL_QUAD_STRIP);
p1 = t * (rdivisions + 1);
p2 = (t - 1) * (rdivisions + 1);
for (r = 0; r <= rdivisions; r++, p1++, p2++) {
if (has_n) glNormal3fv(normals[p1].pt);
#ifdef TEXTURE
glTexCoord2fv(points[p1].pt);
#endif
glVertex3fv(points[p1].pt);
if (has_n) glNormal3fv(normals[p2].pt);
#ifdef TEXTURE
glTexCoord2fv(points[p2].pt);
#endif
glVertex3fv(points[p2].pt);
}
glEnd();
}
glBegin(GL_QUAD_STRIP);
p1 = 0;
p2 = (rdivisions + 1) * (tdivisions - 1);
for (r = 0; r <= rdivisions; r++, p1++, p2++) {
if (has_n) glNormal3fv(normals[p1].pt);
#ifdef TEXTURE
glTexCoord2fv(points[p1].pt);
#endif
glVertex3fv(points[p1].pt);
if (has_n) glNormal3fv(normals[p2].pt);
#ifdef TEXTURE
glTexCoord2fv(points[p2].pt);
#endif
glVertex3fv(points[p2].pt);
}
glEnd();
}
void Unitdisk::draw_colors_nonormals()
{
int r, t, p1, p2;
for (t = 1; t < tdivisions; t++) {
glBegin(GL_QUAD_STRIP);
p1 = t * (rdivisions + 1);
p2 = (t - 1) * (rdivisions + 1);
for (r = 0; r <= rdivisions; r++, p1++, p2++) {
glColor4fv(colors[p1].c);
#ifdef TEXTURE
glTexCoord2fv(points[p1].pt);
#endif
glVertex3fv(points[p1].pt);
glColor4fv(colors[p2].c);
#ifdef TEXTURE
glTexCoord2fv(points[p2].pt);
#endif
glVertex3fv(points[p2].pt);
}
glEnd();
}
glBegin(GL_QUAD_STRIP);
p1 = 0;
p2 = (rdivisions + 1) * (tdivisions - 1);
for (r = 0; r <= rdivisions; r++, p1++, p2++) {
glColor4fv(colors[p1].c);
#ifdef TEXTURE
glTexCoord2fv(points[p1].pt);
#endif
glVertex3fv(points[p1].pt);
glColor4fv(colors[p2].c);
#ifdef TEXTURE
glTexCoord2fv(points[p2].pt);
#endif
glVertex3fv(points[p2].pt);
}
glEnd();
}
void Unitdisk::draw_colors_normals()
{
int r, t, p1, p2;
for (t = 1; t < tdivisions; t++) {
glBegin(GL_QUAD_STRIP);
p1 = t * (rdivisions + 1);
p2 = (t - 1) * (rdivisions + 1);
for (r = 0; r <= rdivisions; r++, p1++, p2++) {
glColor4fv(colors[p1].c);
glNormal3fv(normals[p1].pt);
#ifdef TEXTURE
glTexCoord2fv(points[p1].pt);
#endif
glVertex3fv(points[p1].pt);
glColor4fv(colors[p2].c);
glNormal3fv(normals[p2].pt);
#ifdef TEXTURE
glTexCoord2fv(points[p2].pt);
#endif
glVertex3fv(points[p2].pt);
}
glEnd();
}
glBegin(GL_QUAD_STRIP);
p1 = 0;
p2 = (rdivisions + 1) * (tdivisions - 1);
for (r = 0; r <= rdivisions; r++, p1++, p2++) {
glColor4fv(colors[p1].c);
glNormal3fv(normals[p1].pt);
#ifdef TEXTURE
glTexCoord2fv(points[p1].pt);
#endif
glVertex3fv(points[p1].pt);
glColor4fv(colors[p2].c);
glNormal3fv(normals[p2].pt);
#ifdef TEXTURE
glTexCoord2fv(points[p2].pt);
#endif
glVertex3fv(points[p2].pt);
}
glEnd();
}
void Unitdisk::draw_by_perimeter(int pass_colors, int pass_norms,
int pass_tex)
{
int i, index, r = rdivisions + 1;
if (points == NULL) return;
if (pass_colors && colors == NULL) {
fprintf(stderr, "Warning: No colors to draw in Unitdisk.c++");
pass_colors = 0;
}
if (pass_norms && normals == NULL) {
fprintf(stderr, "Warning: No normals to draw in Unitdisk.c++");
pass_norms = 0;
}
glBegin(GL_POLYGON);
for (i = 0, index = rdivisions; i < tdivisions; i++, index += r) {
if (pass_colors) glColor4fv(colors[index].c);
if (pass_norms) glNormal3fv(normals[index].pt);
#ifdef TEXTURE
if (pass_tex) glTexCoord2fv(points[index].pt);
#endif
glVertex3fv(points[index].pt);
}
glEnd();
}
void Unitdisk::set_angle(float new_angle)
{
angle = new_angle;
}
GLfloat Unitdisk::get_angle()
{
return angle;
}
GLfloat Unitdisk::get_radius()
{
return (GLfloat)cos((double)((M_PI - angle) / 2.0));
}
void Unitdisk::set_divisions(int new_rdivisions, int new_tdivisions)
{
if (tdivisions != new_tdivisions) {
delete sintable;
delete costable;
sintable = costable = NULL;
}
if (tdivisions != new_tdivisions || rdivisions != new_rdivisions) {
rdivisions = new_rdivisions;
tdivisions = new_tdivisions;
free_points();
free_normals();
free_colors();
}
}
int Unitdisk::get_rdivisions()
{
return rdivisions;
}
int Unitdisk::get_tdivisions()
{
return tdivisions;
}
void Unitdisk::alloc_points()
{
int npoints = get_npoints();
if (npoints > points_size) {
delete points;
points = new Point[npoints];
points_size = npoints;
}
}
void Unitdisk::alloc_normals()
{
int npoints = get_npoints();
if (npoints > normals_size) {
delete normals;
normals = new Point[npoints];
normals_size = npoints;
}
}
void Unitdisk::alloc_points_normals()
{
alloc_points();
alloc_normals();
}
void Unitdisk::free_points()
{
delete points;
points = NULL;
points_size = 0;
}
void Unitdisk::free_normals()
{
delete normals;
normals = NULL;
normals_size = 0;
}
void Unitdisk::free_points_normals()
{
free_points();
free_normals();
}
void Unitdisk::fill_points()
{
alloc_points();
fill_either(points);
}
void Unitdisk::fill_normals()
{
alloc_normals();
fill_either(normals);
}
void Unitdisk::fill_points_normals()
{
alloc_points();
alloc_normals();
fill_either(points);
fill_either(normals);
}
void Unitdisk::copy_points(Unitdisk src)
{
set_divisions(src.rdivisions, src.tdivisions);
alloc_points();
copy_either(points, src.points);
}
void Unitdisk::copy_normals(Unitdisk src)
{
set_divisions(src.rdivisions, src.tdivisions);
alloc_normals();
copy_either(normals, src.normals);
}
void Unitdisk::copy_either(Point *dpt, Point *spt) {
int i, npoints;
npoints = get_npoints();
for (i = 0; i < npoints; i++, dpt++, spt++) {
dpt->pt[0] = spt->pt[0];
dpt->pt[1] = spt->pt[1];
dpt->pt[2] = spt->pt[2];
}
}
void Unitdisk::copy_normals_from_points(Unitdisk src) {
set_divisions(src.rdivisions, src.tdivisions);
alloc_normals();
copy_either(normals, src.points);
}
void Unitdisk::copy_normals_from_points() {
copy_normals_from_points(*this);
}
void Unitdisk::fill_either(Point *what) {
int t, r;
int i;
fill_either_strip1(what);
if (sintable == NULL) fill_trig_tables();
i = rdivisions + 1;
for (t = 1; t < tdivisions; t++) {
for (r = 0; r <= rdivisions; r++) {
what[i].pt[0] = costable[t] * what[r].pt[0];
what[i].pt[1] = sintable[t] * what[r].pt[0];
what[i].pt[2] = what[r].pt[2];
i++;
}
}
}
void Unitdisk::fill_points_strip1()
{
alloc_points();
fill_either_strip1(points);
}
void Unitdisk::fill_either_strip1(Point *what) {
float radius, rinc;
int r;
rinc = get_radius() / (float)rdivisions;
radius = 0.0;
for (r = 0; r <= rdivisions; r++, radius += rinc) {
what[r].pt[0] = radius;
what[r].pt[1] = 0;
// Round-off error avoidance hack
what[r].pt[2] = (GLfloat)(1.0 - what[r].pt[0]*what[r].pt[0]);
if (what[r].pt[2] > 0.0) what[r].pt[2] = (GLfloat)sqrt((double)what[r].pt[2]);
else what[r].pt[2] = 0.0;
}
}
void Unitdisk::translate(Point trans)
{
int i, npoints;
npoints = get_npoints();
for (i = 0; i < npoints; i++) {
points[i].pt[0] += trans.pt[0];
points[i].pt[1] += trans.pt[1];
points[i].pt[2] += trans.pt[2];
}
}
void Unitdisk::scale(float s)
{
int i, npoints;
npoints = get_npoints();
for (i = 0; i < npoints; i++) {
points[i].pt[0] *= s;
points[i].pt[1] *= s;
points[i].pt[2] *= s;
}
}
void Unitdisk::scale_translate(float s, Point trans)
{
int i, npoints;
npoints = get_npoints();
for (i = 0; i < npoints; i++) {
points[i].pt[0] = points[i].pt[0]*s + trans.pt[0];
points[i].pt[1] = points[i].pt[1]*s + trans.pt[1];
points[i].pt[2] = points[i].pt[2]*s + trans.pt[2];
}
}
int Unitdisk::get_npoints()
{
return (rdivisions + 1) * tdivisions;
}
void Unitdisk::project()
{
int i, npoints;
if (normals == NULL) {
fprintf(stderr, "Warning: No normals defined when project() called.\n");
fill_normals();
}
if (points == NULL) fill_points();
npoints = get_npoints();
for (i = 0; i < npoints; i++) {
/* I'm not sure quite what the justification for this is, but it
* seems to work */
if (normals[i].pt[2] < 0.0) normals[i].pt[2] = -normals[i].pt[2];
points[i] = points[i].project_direction(normals[i]);
}
}
void Unitdisk::project(Point projpt)
{
int i, npoints = get_npoints();
float x, y, z;
Point *pt;
if (points == NULL) fill_points();
x = projpt.pt[0];
y = projpt.pt[1];
z = projpt.pt[2];
pt = points;
for (i = 0; i < npoints; i++, pt++) pt->project_self(x, y, z);
}
void Unitdisk::project_borrow_points(Unitdisk src)
{
int i, npoints = get_npoints();
Point *pt, *spt, *sn;
spt = src.points;
sn = normals;
alloc_points();
pt = points;
for (i = 0; i < npoints; i++, pt++, spt++, sn++) {
/* I'm not sure quite what the justification for this is, but it
* seems to work */
if (normals[i].pt[2] < 0.0) normals[i].pt[2] = -normals[i].pt[2];
pt->compute_projected(spt->pt[0], spt->pt[1], spt->pt[2],
sn->pt[0], sn->pt[1], sn->pt[2]);
}
}
void Unitdisk::refract_normals(Point light, GLfloat I)
{
Point dlight;
float cos1, sin1, cos2, sin2;
int use_normals;
int r, t, i;
if (points == NULL) {
fprintf(stderr, "Attempting to refract without points.\n");
fill_normals();
}
use_normals = (normals != NULL);
alloc_normals();
/* Do the theta = 0 diagonal */
for (r = 0; r <= rdivisions; r++) {
/* Find the original normal - use the unit of the points if there are
* no normals */
if (!use_normals) normals[r] = points[r].unit();
/* Compute the direction to the light */
dlight = (light - points[r]).unit();
/* Compute the cosine and the sine of the original angle */
cos1 = dlight.dot(normals[r]);
sin1 = (float)(1.0 - cos1*cos1);
if (sin1 <= 0.0) continue;
sin1 = (float)sqrt((double)sin1);
/* Compute the cosine and the sine of the new angle */
sin2 = sin1 / I;
cos2 = (float)sqrt((double)(1.0 - sin2*sin2));
/* Rotate the normal by the new sine and cosine */
normals[r] = normals[r].rotate_abouty(cos2, -sin2);
}
/* Copy the rest of the rows from the current row */
i = rdivisions + 1;
if (sintable == NULL) fill_trig_tables();
for (t = 1; t < tdivisions; t++) {
for (r = 0; r <= rdivisions; r++) {
normals[i].pt[0] = costable[t] * normals[r].pt[0];
normals[i].pt[1] = sintable[t] * normals[r].pt[0];
normals[i].pt[2] = normals[r].pt[2];
i++;
}
}
}
void Unitdisk::face_direction(Point d)
{
face_direction(d, *this);
}
void Unitdisk::face_direction(Point d, Unitdisk src)
{
Point *spt, *dpt, *sn, *dn;
float sin1, cos1;
float x;
int npoints, i;
if (d.pt[1]) {
fprintf(stderr,
"Internal error: Can't face in direction not in xz plane.");
return;
}
cos1 = d.pt[2];
sin1 = d.pt[0];
if (sin1 * sin1 > fudge) {
spt = src.points;
dpt = points;
sn = src.normals;
dn = normals;
/* Change this to be seperate loops for points&&normals, points, normals
* (faster than testing every iteration */
npoints = get_npoints();
for (i = 0; i < npoints; i++) {
if (points != NULL) {
x = spt->pt[0];
dpt->pt[0] = x*cos1 + spt->pt[2]*sin1;
dpt->pt[1] = spt->pt[1];
dpt->pt[2] = -x*sin1 + spt->pt[2]*cos1;
spt++; dpt++;
}
if (normals != NULL) {
x = sn->pt[0];
dn->pt[0] = x*cos1 + sn->pt[2]*sin1;
dn->pt[1] = sn->pt[1];
dn->pt[2] = -x*sin1 + sn->pt[2]*cos1;
sn++; dn++;
}
}
} else if (points != NULL && points != src.points) {
copy_points(src);
if (normals != NULL) copy_normals(src);
}
}
void Unitdisk::alloc_colors()
{
int ncolors = get_npoints();
if (ncolors > colors_size) {
delete colors;
colors = new Color[ncolors];
colors_size = ncolors;
}
}
void Unitdisk::map_normals_to_colors()
{
int t, r;
int i;
if (normals == NULL) fill_normals();
alloc_colors();
i = 0;
for (t = 1; t <= tdivisions; t++) {
for (r = 0; r <= rdivisions; r++) {
colors[i] *= normals[r].pt[2];
colors[i].c[3] = 1;
i++;
}
}
}
void Unitdisk::map_z_to_colors()
{
int i, npoints = get_npoints();
if (points == NULL) {
fprintf(stderr, "Warning: no points defined in map_z_to_colors()\n");
fill_points();
}
alloc_colors();
for (i = 0; i < npoints; i++) {
colors[i] = points[i].pt[2];
colors[i].c[3] = 1;
}
}
void Unitdisk::scale_alpha_by_z()
{
int i, npoints = get_npoints();
if (colors == NULL) alloc_colors();
if (points == NULL) {
alloc_points();
fill_points();
}
for (i = 0; i < npoints; i++) colors[i].c[3] *= points[i].pt[2];
}
void Unitdisk::scale_colors_by_z()
{
int i, npoints = get_npoints();
if (colors == NULL) alloc_colors();
if (points == NULL) {
alloc_points();
fill_points();
}
for (i = 0; i < npoints; i++) colors[i] *= points[i].pt[2];
}
void Unitdisk::scale_colors_by_normals(Point light)
{
scale_colors_by_normals(light, *this);
}
void Unitdisk::scale_colors_by_normals(Point light, Unitdisk src_normals)
{
scale_colors_by_either(light, src_normals.normals);
}
void Unitdisk::scale_colors_by_points(Point light, Unitdisk src_points)
{
scale_colors_by_either(light, src_points.points);
}
void Unitdisk::scale_colors_by_either(Point light, Point *what)
{
int t, r;
int i;
if (what == NULL) {
fprintf(stderr, "Scaling colors to NULL pointer.\n");
return;
}
if (light.pt[0] || light.pt[1] || light.pt[2] < 0.0) {
fprintf(stderr, "Light not on z axis in scale_colors_by_normals.\n");
}
alloc_colors();
for (r = 0; r <= rdivisions; r++)
colors[r] *= what[r].dot(light);
i = rdivisions + 1;
for (t = 1; t < tdivisions; t++) {
for (r = 0; r <= rdivisions; r++) {
colors[i] = colors[r];
i++;
}
}
}
void Unitdisk::set_colors(Color c)
{
Color *dst;
int i, npoints = get_npoints();
alloc_colors();
dst = colors;
for (i = 0; i < npoints; i++, dst++) {
dst->c[0] = c.c[0];
dst->c[1] = c.c[1];
dst->c[2] = c.c[2];
dst->c[3] = c.c[3];
}
}
void Unitdisk::add_colors(Color c)
{
int i, npoints = get_npoints();
alloc_colors();
for (i = 0; i < npoints; i++) colors[i] += c;
}
void Unitdisk::free_colors()
{
delete colors;
colors = NULL;
colors_size = 0;
}
inline float Unitdisk::area_triangle(Point a, Point b, Point c)
{
return (float)(((a.pt[0]*b.pt[1] + b.pt[0]*c.pt[1] + c.pt[0]*a.pt[1]) -
(a.pt[1]*b.pt[0] + b.pt[1]*c.pt[0] + c.pt[1]*a.pt[0])) * .5);
}
inline float Unitdisk::area_triangle(GLfloat *a, GLfloat *b,
GLfloat *c)
{
return (float)(((a[0]*b[1] + b[0]*c[1] + c[0]*a[1]) -
(a[1]*b[0] + b[1]*c[0] + c[1]*a[0])) * .5);
}
inline float Unitdisk::area_2triangle(GLfloat *a, GLfloat *b,
GLfloat *c)
{
return ((a[0]*b[1] + b[0]*c[1] + c[0]*a[1]) -
(a[1]*b[0] + b[1]*c[0] + c[1]*a[0]));
}
void Unitdisk::scale_colors_by_darea(Unitdisk disk)
{
int pt1, pt2, pt3;
int t, r, i;
int npoints = get_npoints();
float *rproducts1, *tproducts1, *rproducts2, *tproducts2;
float area1, area2;
rproducts1 = new float[npoints];
tproducts1 = new float[npoints];
rproducts2 = new float[npoints];
tproducts2 = new float[npoints];
/* Compute the products of the segments which make up the disk -
* these will later be used in the area calculations */
i = 0;
for (t = 0; t < tdivisions; t++) {
for (r = 0; r < rdivisions; r++) {
pt1 = i;
pt2 = i + 1;
rproducts1[i] = (points[pt1].pt[0]*points[pt2].pt[1] -
points[pt1].pt[1]*points[pt2].pt[0]);
rproducts2[i] = (disk.points[pt1].pt[0]*disk.points[pt2].pt[1] -
disk.points[pt1].pt[1]*disk.points[pt2].pt[0]);
pt2 = ((t+1)%tdivisions)*(rdivisions + 1) + r;
tproducts1[i] = (points[pt1].pt[0]*points[pt2].pt[1] -
points[pt1].pt[1]*points[pt2].pt[0]);
tproducts2[i] = (disk.points[pt1].pt[0]*disk.points[pt2].pt[1] -
disk.points[pt1].pt[1]*disk.points[pt2].pt[0]);
i++;
}
pt1 = i;
pt2 = ((t+1)%tdivisions)*(rdivisions + 1) + r;
tproducts1[i] = (points[pt1].pt[0]*points[pt2].pt[1] -
points[pt1].pt[1]*points[pt2].pt[0]);
tproducts2[i] = (disk.points[pt1].pt[0]*disk.points[pt2].pt[1] -
disk.points[pt1].pt[1]*disk.points[pt2].pt[0]);
i++;
}
/* Compute the area at the center of the disk */
area1 = area2 = 0.0;
r = 1;
for (t = 0; t <= tdivisions; t++) {
pt1 = (t%tdivisions)*(rdivisions+1) + r;
area1 += tproducts1[pt1];
area2 += tproducts2[pt1];
}
if (area1 != 0.0) area1 = (float)fabs((double)(area2 / area1));
for (t = 0; t < tdivisions; t++) {
colors[t*(rdivisions+1)] *= area1;
}
for (t = 0; t < tdivisions; t++) {
for (r = 1; r < rdivisions; r++) {
pt1 = (t ? t-1 : tdivisions-1)*(rdivisions+1) + r - 1;
pt3 = t*(rdivisions + 1) + r - 1;
pt2 = ((t+1) % tdivisions)*(rdivisions+1) + r - 1;
area1 = rproducts1[pt1] + rproducts1[pt1 + 1];
area1 += tproducts1[pt1 + 2] + tproducts1[pt3 + 2];
area1 -= rproducts1[pt2 + 1] + rproducts1[pt2];
area1 -= tproducts1[pt3] + tproducts1[pt1];
area2 = rproducts2[pt1] + rproducts2[pt1 + 1];
area2 += tproducts2[pt1 + 2] + tproducts2[pt3 + 2];
area2 -= rproducts2[pt2 + 1] + rproducts2[pt2];
area2 -= tproducts2[pt3] + tproducts2[pt1];
if (area1 != 0.0) area1 = (float)fabs((double)(area2 / area1));
colors[pt3 + 1] *= area1;
}
}
/* Compute the area around the outside of the disk */
r = rdivisions;
for (t = 0; t < tdivisions; t++) {
pt1 = (t ? t-1 : tdivisions-1)*(rdivisions+1) + r - 1;
pt3 = t*(rdivisions + 1) + r - 1;
pt2 = ((t+1) % tdivisions)*(rdivisions+1) + r - 1;
area1 = rproducts1[pt1];
area1 += tproducts1[pt1 + 1] + tproducts1[pt3 + 1];
area1 -= rproducts1[pt2];
area1 -= tproducts1[pt1] + tproducts1[pt3];
area2 = rproducts2[pt1];
area2 += tproducts2[pt1 + 1] + tproducts2[pt3 + 1];
area2 -= rproducts2[pt2];
area2 -= tproducts2[pt1] + tproducts2[pt3];
if (area1 != 0.0) area1 = (float)fabs((double)(area2 / area1));
colors[pt3 + 1] *= area1;
}
delete rproducts1;
delete tproducts1;
delete rproducts2;
delete tproducts2;
}
void Unitdisk::fill_trig_tables()
{
int t;
delete sintable;
delete costable;
sintable = new float[tdivisions];
costable = new float[tdivisions];
for (t = 0; t < tdivisions; t++) {
costable[t] = (float)cos((double)(M_2PI * (float)t / (float)tdivisions));
sintable[t] = (float)sin((double)(M_2PI * (float)t / (float)tdivisions));
}
}