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drawing.C
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drawing.C
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/*
This file is part of Jenn.
Copyright 2001-2007 Fritz Obermeyer.
Jenn is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
Jenn is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with Jenn; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
*/
#include "drawing.h"
#ifdef CYGWIN_HACKS
#define GLUT_STATIC
#endif
#if defined(__APPLE__) && defined(__MACH__)
#include <GLUT/glut.h>
#else
#include <GL/glut.h>
#endif
#include <cmath>
#include <cstring> //for memcpy
#include <utility>
#include <algorithm>
#include <fstream>
#ifndef INFINITY
#define INFINITY 1.0e38f
#endif
//global instance
Drawings::Drawing *drawing = NULL;
namespace Drawings
{
//================ drawing parameters ================
#define SPH_FACTOR 0.7f
#define FILL_FACTOR 0.35f
float WIDTH_LINE;
float WIDTH_BORDER;
#define BASIC_WIDTH_LINE 4.0f
#define BASIC_WIDTH_BORDER 2.0f
#define LINE_OPACITY 0.3f
#define SOLID_OPACITY 0.7f
#define BASE_DENSITY 0.1f
#define CONTRAST_FACTOR 0.3f
#define TINY_FACTOR 0.25f
//detail params
#define CIRC_SCALE 30.0f
#define SPH_SCALE 240.0f
#define LOUSY_FACTOR 0.8f
#define LINE_SCALE 0.004f
#define FACE_SCALE 0.0025f
//#define STRIPED
#define STRIPES 1.0
#define BOWED
#ifndef GL_MULTISAMPLE
#define GL_MULTISAMPLE 0x809D
#endif
#define PROJ_W0 1.0000001f
//testing
//#define TEST_DEPTH
#define NUM_BINS 40
float depth_bins[NUM_BINS];
//================ stl file object (stereolithography) ================
/** STL file format for stereolithography
*
* (1) facet normals are redundant, and must satisfy right-hand rule.
* (2) objects must lie entirely in first octant.
* (3) triangular mesh non self-intersecting.
* (4) no vertex of one triangle lies within the edge of another triangle.
*
* references:
* http://mech.fsv.cvut.cz/~dr/papers/Lisbon04/node2.html
* http://rpdrc.ic.polyu.edu.hk/old_files/stl_introduction.htm
*/
class STL
{
std::fstream file;
//buffer for quad strips
float buff1[3], buff2[3];
bool buffered;
public:
STL (std::string filename);
~STL ();
//internal triangle interface
private:
void point (float x, float y, float z);
void triangle (float x1, float y1, float z1,
float x2, float y2, float z2,
float x3, float y3, float z3);
//quad strip interface
public:
void new_quad_strip () { buffered = false; }
void new_segment (float x1, float y1, float z1,
float x2, float y2, float z2);
inline void new_segment (float* v1, float* v2);
};
STL::STL (std::string filename) : file(filename.c_str(), std::ios_base::out)
{
Assert(file.is_open(), "failed to open " << filename << " for writing");
file << "solid jenn3d";
}
STL::~STL ()
{
if (not file) return;
file << "\n\nendsolid jenn3d\n";
file.close();
}
void STL::point (float x, float y, float z)
{
file << "\n vertex " << x << ' ' << y << ' ' << z;
}
void STL::triangle (float x1, float y1, float z1,
float x2, float y2, float z2,
float x3, float y3, float z3)
{
//compute facet normal
Vect t12, t13, n;
t12[0] = x2-x1; t12[1] = y2-y1; t12[2] = z2-z1;
t13[0] = x3-x1; t13[1] = y3-y1; t13[2] = z3-z1;
cross3(t12, t13, n);
if (not normalize3(n)) return; //ignore degenerate faces
//write facet
file << "\n\nfacet normal " << n[0] << ' ' << n[1] << ' ' << n[2];
file << "\n outer loop";
point(x1,y1,z1);
point(x2,y2,z2);
point(x3,y3,z3);
file << "\n endloop";
file << "\nendfacet";
}
void STL::new_segment (float x1, float y1, float z1,
float x2, float y2, float z2)
{
if (buffered) {
//draw two triangles forming a quad
triangle (buff1[0], buff1[1], buff1[2],
buff2[0], buff2[1], buff2[2],
x1, y1, z1);
triangle (buff2[0], buff2[1], buff2[2],
x2, y2, z2,
x1, y1, z1);
}
//copy new points two buffer
buff1[0] = x1; buff1[1] = y1; buff1[2] = z1;
buff2[0] = x2; buff2[1] = y2; buff2[2] = z2;
buffered = true;
}
inline void STL::new_segment (float* v1, float* v2)
{
new_segment (v1[0], v1[1], v1[2],
v2[0], v2[1], v2[2]);
}
//================ colors ================
#define START_STATE 1
#define COLOR_LINE 0.5f, 0.5f, 0.5f
#define COLOR_BLACK 0.0f, 0.0f, 0.0f
#define COLOR_WHITE 1.0f, 1.0f, 1.0f
#define COLOR_FACE 0.4f, 0.7f, 1.0f
//#define COLOR_FACE 8.0f, 0.5f, 0.2f
//#define COLOR_FACE 0.2f, 0.5f, 0.8f
float *color_fg; //current foreground drawing color
float *color_fl; //current fill color
const float
C_bg[4] = {COLOR_BG, LINE_OPACITY},
C_iv[4] = {COLOR_BG, 0.0f},
C_ln[4] = {COLOR_LINE, LINE_OPACITY},
C_bl[4] = {COLOR_BLACK, SOLID_OPACITY},
C_wh[4] = {COLOR_WHITE, SOLID_OPACITY},
C_bl_ln[4] = {COLOR_BLACK, 1.0f},
C_wh_ln[4] = {COLOR_WHITE, 1.0f},
C_bb[4] = {C_ln[0], //bubble color
C_ln[1],
C_ln[2],
0.5f*LINE_OPACITY};
typedef float* Color;
Color
c_bg = const_cast<float*>(C_bg),
c_iv = const_cast<float*>(C_iv),
c_ln = const_cast<float*>(C_ln),
c_bl = const_cast<float*>(C_bl),
c_wh = const_cast<float*>(C_wh),
c_bl_ln = const_cast<float*>(C_bl_ln),
c_wh_ln = const_cast<float*>(C_wh_ln),
c_bb = const_cast<float*>(C_bb);
float color_fc[4] = {COLOR_FACE, 0.0f};
static float _result_color[3];
inline Color blend_colors (Color c1, Color c2, float s1, float s2)
{
for (int i=0; i<3; ++i) {
_result_color[i] = s1 * c1[i] + s2 * c2[i];
}
return _result_color;
}
inline Color get_color (float t)
{
float s = (1.0f+CONTRAST_FACTOR) * fabs(t) - CONTRAST_FACTOR;
return blend_colors(color_fg, color_fl, 1.0f-s, s);
}
inline void blend_colors (Color c1, Color c2,
float s1, float s2, float* result)
{
for (int i=0; i<3; ++i) {
result[i] = s1 * c1[i] + s2 * c2[i];
}
}
inline void set_color (float t, float* result)
{
//float s = 1.3f * fabs(t) - 0.3f;
float s = fabs(t);
blend_colors(color_fg, color_fl, 1.0f-s, s, result);
}
inline float modulate (complex t)
{
return 0.5 * (1.0 + sinf(STRIPES * std::arg(t) + elapsed_time()));
}
//optics & opacity
float base_density = BASE_DENSITY;
inline float optical_density (float dx2)
{//calculates opacity from depth-component of normal vector
return 1.0f - expf(-base_density * sqrtf(dx2));
}
inline float optical_density_approx (float dx2)
{//approximate optical density calculation
float t = dx2 * sqr(base_density);
return t / (1.0f + t);
}
//================ drawing class ================
Drawing::Drawing (ToddCoxeter::Graph* g)
: go(g),
graph(*go.graph),
ord(graph.ord),
deg(graph.deg),
ord_f(graph.ord_f),
w_bound0(-1.0f),
w_bound1( 1.0f),
h_bound0(-1.0f),
h_bound1( 1.0f),
cmp(ord),
cmp_f(ord_f),
sorted(ord, 0),
sorted_f(ord_f, 0),
vertices(ord),
centers(ord),
radii0(ord, 1.0f),
scales(ord, 1.0f),
radii(ord, 1.0f),
phases(ord, 0.0f),
faces(graph.faces),
vertices_f(ord_f),
normals(ord_f),
centers_f(ord_f),
_grid_on(false),
_drawing_verts(true),
_drawing_edges(true),
_drawing_faces(true),
_fancy(true),
_hazy(false),
_wireframe(false),
_high_quality(false),
_clipping(true),
_update_needed(true)
{
logger.info() << "drawing " << ord << " verts, "
<< (ord * deg) / 2 << " edges" |0;
//fill in go board's history
std::vector<std::pair<float,int> > points_i(graph.ord);
for (int i=0; i<graph.ord; ++i) {
const Vect& p = graph.points[i];
float level = p[0]; //approximately lexicographical in [w,z,y,x]
for (int j=1; j<4; ++j) {
level = p[j] + 0.01 * level;
}
points_i[i] = std::make_pair(-level,i);
}
std::sort(points_i.begin(), points_i.end());
for (int i=0; i<graph.ord; ++i) {
go.play(points_i[i].second, START_STATE);
}
points_i.resize(0);
//define standard node radius, all pairs are assumed equidistant
rad0 = 0.5f * r4_dist(graph.points[0], graph.points[graph.adj[0][0]]);
float tot_tube_len = graph.ord * graph.deg * rad0;
set_tube_rad(FILL_FACTOR / sqrtf(tot_tube_len));
coating = 0.05;
//define oscillation phases
for (int v = 0; v < ord; ++v) {
phases[v] = hopf_phase(graph.points[v]);
}
logger.debug() << "oscillation phases defined." |0;
//define pre-projection matrix
mat_identity(project);
logger.debug() << "projection built and set to identity." |0;
//define depth-sorted list
for (int v=0; v<ord; ++v) { sorted [v] = v; }
for (int f=0; f<ord_f; ++f) { sorted_f[f] = f; }
logger.debug() << "sorted built and set to linear order." |0;
//define original polygon
for (int i = 0; i<POLY_SIDES; ++i) {
poly0[i][0] = cos((2.0f*M_PI*i)/POLY_SIDES);
poly0[i][1] = sin((2.0f*M_PI*i)/POLY_SIDES);
}
//define original sphere
for (int i = 0; i<=SPH_RHO; ++i) {
float rho = (0.5f*M_PI*i) / SPH_RHO;
float cos_rho = cos(rho);
float sin_rho = sin(rho);
for (int j=0; j<SPH_THETA; ++j) {
float theta = (2.0f*M_PI*j) / SPH_THETA;
float cos_theta = cos(theta);
float sin_theta = sin(theta);
sphere[i][j][0] = sin_rho * cos_theta;
sphere[i][j][1] = sin_rho * sin_theta;
sphere[i][j][2] = cos_rho;
}
}
}
//interface
void Drawing::set_scale (float _scale)
{
scale = _scale;
set_quality (_high_quality);
}
void Drawing::set_tube_rad (float rad)
{
tube_rad = min(0.8f*rad0, rad);
tube_rad = max(0.01f*rad0, tube_rad);
sph_rad = SPH_FACTOR * tube_rad * sqrtf(graph.deg);
sph_rad = max(tube_rad, sph_rad);
sph_rad0 = sph_rad / rad0;
tube_factor = tube_rad / sph_rad0;
}
void Drawing::set_bounds (float w0, float w1, float h0, float h1)
{
w_bound0 = w0;
w_bound1 = w1;
h_bound0 = h0;
h_bound1 = h1;
}
void Drawing::reproject (Mat& theta)
{
mat_copy(theta, project);
for (int v=0; v<ord; ++v) {
vect_mult(project, graph.points[v], vertices[v]);
update_vertex(v);
}
if (ord_f and _drawing_faces) {
for (int f=0; f<ord_f; ++f) {
vect_mult(project, graph.normals[f], normals[f]);
update_face(f);
}
}
sort();
}
GLenum FILL = GL_FILL;
GLenum LINE_STRIP = GL_LINE_STRIP;
void Drawing::display ()
{
if (_update_needed) _update();
//reset params jacked by windows
glDepthRange(-1.0f, 1.0f);
if (_wireframe) {
glLineWidth(1.0f);
FILL = GL_LINE;
LINE_STRIP = GL_LINES;
} else {
FILL = GL_FILL;
LINE_STRIP = GL_LINE_STRIP;
}
//draw vertices
#ifdef TEST_DEPTH
if (_fancy) {
for (int i=0; i<NUM_BINS; ++i) { depth_bins[i] = 0; }
}
#endif
if (_fancy or _drawing_faces) glEnable (GL_DEPTH_TEST);
else glDisable(GL_DEPTH_TEST);
for (int v = 0; v < ord; ++v) {
int u = sorted[v];
if (not _grid_on and go.state(u)==0) continue;
display_vertex(u);
}
#ifdef TEST_DEPTH
if (_fancy) {
for (int i=0; i<NUM_BINS; ++i) { std::cout << depth_bins[i] << "\n"; }
std::cout << "---------------------------" << std::endl;
}
#endif
//draw faces
if (ord_f and _drawing_faces) {
glLineWidth(1.0f);
glEnable(GL_DEPTH_TEST);
glDepthMask(GL_FALSE);
for (int f = 0; f < ord_f; ++f) {
int g = sorted_f[f];
_draw_face(g);
}
glDepthMask(GL_TRUE);
}
}
STL *export_file = NULL; //a single global export file
void Drawing::export_stl ()
{
if (_update_needed) _update();
//open file
export_file = new STL("jenn_export.stl");
//export
for (int v = 0; v < ord; ++v) {
int u = sorted[v];
if (not _grid_on and go.state(u)==0) continue;
export_vertex(u);
}
delete export_file;
}
int Drawing::select (float x,float y)
{
if (not _grid_on) return -1;
for (int n = ord-1; n >= 0; --n) {
int v = sorted[n];
if (sqr(x - centers[v][0]) + sqr(y - centers[v][1]) < sqr(radii[v])) {
return v;
}
}
return -1;
}
//depth function
#ifdef TEST_DEPTH
inline float clamp_depth (float z)
{
float result = (2.0f/M_PI) * atanf(z);
++depth_bins[static_cast<int>((NUM_BINS-1)*0.5f*(result+1))];
return result;
}
#else
inline float clamp_depth (float z) { return (2.0f/M_PI) * atanf(0.5f*z); }
inline float clamp_depth_alt (float z) { return z / sqrtf(1.0f+z*z); }
#endif
//projections functions
inline float proj (float w)
{
return fabs(1.0f / (PROJ_W0 + w));
}
inline void stereo_project (Vect& x)
{
float scale = proj(x[3]);
x[0] *= scale;
x[1] *= scale;
x[2] *= scale;
}
inline float stereo_project (const Vect& x, Vect& pi_x)
{
float scale = proj(x[3]);
pi_x[0] = scale * x[0];
pi_x[1] = scale * x[1];
pi_x[2] = scale * x[2];
return scale;
}
inline float stereo_project (const Vect& x, float* pi_x)
{
float scale = proj(x[3]);
pi_x[0] = scale * x[0];
pi_x[1] = scale * x[1];
pi_x[2] = clamp_depth(scale * x[2]);
return scale;
}
inline void stereo_project (const Vect& x, const Vect& dx, Vect& y)
{//projects position and surface cross-section
float s = proj(x[3]);
y[0] = s * x[0];
y[1] = s * x[1];
y[2] = s * x[2];
float dw = - dx[3];
float da2 = sqr(dx[0] + dw * y[0]);
float db2 = sqr(dx[1] + dw * y[1]);
float dc2 = sqr(dx[2] + dw * y[2]);
y[3] = (da2 + db2 + dc2) / dc2; //depth component
}
inline float stereo_project (const Vect& x, const Vect& dx,
Vect& y, Vect& N, Vect& B)
{//projects a tangent vector : R^3 >--> S^3 --> R^3 to normal vectors
//map to tangent space of S^3
float s = inner(x,dx);
Vect pi;
for (int i=0; i<4; ++i) pi[i] = dx[i] - s*x[i];
//don't bother to normalize
//stereo project back to R^3
// pi(x)_i = x_i / (1+x_3)
// pi(x + dx)_i = dx_i / (1+x_3) - x_i dx_3 / (1+x_3)^2
// = dx_i / (1+x_3) - pi(x)_i dx_3 / (1+x_3)
float scale = proj(x[3]);
y[0] = scale * x[0];
y[1] = scale * x[1];
y[2] = scale * x[2];
float p = -pi[3];
pi[0] += p * y[0];
pi[1] += p * y[1];
pi[2] += p * y[2];
//find basis for normal space
cross3(pi, y, N); N[3] = 0;
cross3(N, pi, B); B[3] = 0;
float n = scale / r3_norm(N);
float b = scale / r3_norm(B);
for (int i=0; i<3; ++i) {
N[i] *= n;
B[i] *= b;
}
return scale; // = norm of N, B
}
float Drawing::get_radius ()
{
float max_rad = 0;
Vect projected;
for (int v=0; v<ord; ++v) {
stereo_project(graph.points[v], projected);
max_rad = max(r3_norm(projected), max_rad);
}
return max_rad;
}
//================ drawing primitives ================
int Drawing::get_params ()
{
int params = 0;
params = (params << 1) + _grid_on;
params = (params << 1) + _drawing_verts;
params = (params << 1) + _drawing_edges;
params = (params << 1) + _drawing_faces;
params = (params << 1) + _fancy;
params = (params << 1) + _hazy;
params = (params << 1) + _wireframe;
return params;
}
void Drawing::set_params (int params)
{
//reverse order from above!
_wireframe = params & 1; params >>= 1;
_hazy = params & 1; params >>= 1;
_fancy = params & 1; params >>= 1;
_drawing_faces = params & 1; params >>= 1;
_drawing_edges = params & 1; params >>= 1;
_drawing_verts = params & 1; params >>= 1;
_grid_on = params & 1; params >>= 1;
update();
}
void Drawing::toggle_fancy () { _fancy = not _fancy; update(); }
void Drawing::toggle_hazy () { _hazy = not _hazy; update(); }
void Drawing::toggle_wireframe () { _wireframe = not _wireframe; update(); }
void Drawing::set_quality (bool quality)
{
_high_quality = quality;
q_scale = (_high_quality ? 4.0f : 1.0f) * scale;
update();
}
void Drawing::_update ()
{
base_density = _fancy ? BASE_DENSITY : 2.0f * BASE_DENSITY;
glShadeModel(GL_SMOOTH);
glEnable(GL_MULTISAMPLE);
if (_fancy) {
c_bl = const_cast<float*>(C_bl_ln);
c_wh = const_cast<float*>(C_wh_ln);
//glDisable(GL_BLEND);
glEnable(GL_MULTISAMPLE);
} else {
c_bl = const_cast<float*>(C_bl);
c_wh = const_cast<float*>(C_wh);
//glEnable(GL_BLEND);
}
if (_hazy) {
glEnable(GL_FOG);
glFogfv(GL_FOG_COLOR, c_bg);
glFogf(GL_FOG_START, 0.0f);
glFogf(GL_FOG_END, 2.0f);
glFogi(GL_FOG_MODE, GL_LINEAR);
//glFogfv(GL_FOG_DENSITY, GL_EXP);
//glFogf(GL_FOG_DENSITY, 0.5f);
} else {
glDisable(GL_FOG);
}
_update_needed = false;
}
//non-isotropic shading function for tubes
inline float max_z (Vect &u, Vect &v, float scale)
{
return scale * sqrtf(1.0f-sqr((u[0]*v[1]-u[1]*v[0]) / sqr(scale)));
}
//face/edge subdivision tools
int Drawing::_num_segments (float w, float dist)
{
float detail = LINE_SCALE * sqrtf(q_scale) * dist * proj(w);
int segs = int(1.0f + LINE_SIDES * detail);
int line_sides = _high_quality ? LINE_SIDES : LINE_SIDES / 2;
if (segs > line_sides) segs = line_sides;
return segs;
}
int Drawing::_secant_stride (float w, float rad)
{
float radius = rad * proj(w);
int step = int(2.0f + CIRC_SCALE/sqrtf(radius * q_scale));
if (step > 10) step = 10;
return step;
}
int Drawing::_num_subdivs (float w, int Nfaces)
{
float detail = Nfaces *FACE_SCALE *sqrtf(q_scale) *rad0 *powf(proj(w),0.8);
int sides = int(1.0f + FACE_SIDES * detail);
int face_sides = _high_quality ? FACE_SIDES : FACE_SIDES / 2;
sides = min(sides, face_sides);
return sides;
}
//================ drawing features ================
void Drawing::_draw_bulb (float* center, float radius)
{
//calculate detail
int step = int(1.0f + CIRC_SCALE/sqrtf(fabs(radius) * q_scale));
if (step > 10) step = 10;
//define transformed polygon
float outer = radius * 1.0f;
float inner = radius * 0.9f;
float depth = clamp_depth(center[2]);
for (int i = 0; i < POLY_SIDES; i+=step) {
poly1[i][0] = center[0] + inner * poly0[i][0];
poly1[i][1] = center[1] + inner * poly0[i][1];
poly1[i][2] = depth;
poly2[i][0] = center[0] + outer * poly0[i][0];
poly2[i][1] = center[1] + outer * poly0[i][1];
poly2[i][2] = depth;
}
glLineWidth(1.5f);
glPolygonMode(GL_FRONT_AND_BACK, FILL);
//draw filled center
glColor4fv(color_fl);
glBegin(GL_POLYGON);
for (int i = 0; i < POLY_SIDES; i+=step) {
glVertex3fv(poly1[i]);
}
glEnd();
//draw outline
glColor4fv(color_fg);
glBegin(GL_QUAD_STRIP);
for (int i = 0; i < POLY_SIDES; i+=step) {
glVertex3fv(poly1[i]);
glVertex3fv(poly2[i]);
}
glVertex3fv(poly1[0]);
glVertex3fv(poly2[0]);
glEnd();
/*
//draw antialiased outlines
glPolygonMode(GL_FRONT_AND_BACK, GL_LINE);
glBegin(GL_POLYGON);
for (int i = 0; i < POLY_SIDES; i+=step) {
glVertex3fv(poly2[i]);
}
glEnd();
glColor4fv(color_fl);
glBegin(GL_POLYGON);
for (int i = 0; i < POLY_SIDES; i+=step) {
glVertex3fv(poly1[i]);
}
glEnd();
*/
}
void Drawing::_draw_sphere (float* center, float radius, int v)
{
//calculate detail
int step = int(1 + SPH_SCALE/(fabs(radius) * q_scale));
if (step > 5) step = 6;
else if (step > 4) step = 4;
//drawing flags
glPolygonMode(GL_FRONT, FILL);
glShadeModel(GL_SMOOTH);
glCullFace(GL_BACK);
glEnable(GL_CULL_FACE);
if (radius < 0) glFrontFace(GL_CW);
for (int i=step; i<=SPH_RHO; i += step) {
float inner_color[3], outer_color[3];
#ifdef STRIPED
float mod = modulate(phases[v]);
set_color(mod * sphere[i-step][0][2], inner_color);
set_color(mod * sphere[ i ][0][2], outer_color);
#else
set_color(sphere[i-step][0][2], inner_color);
set_color(sphere[ i ][0][2], outer_color);
#endif
float inner_depth = clamp_depth(center[2]+radius*sphere[i-step][0][2]);
float outer_depth = clamp_depth(center[2]+radius*sphere[ i ][0][2]);
glBegin(GL_QUAD_STRIP);
for (int j=0; j<SPH_THETA; j+=step) {
glColor3fv(inner_color);
glVertex3f(center[0] + radius * sphere[i-step][j][0],
center[1] + radius * sphere[i-step][j][1],
inner_depth);
glColor3fv(outer_color);
glVertex3f(center[0] + radius * sphere[i][j][0],
center[1] + radius * sphere[i][j][1],
outer_depth);
}
glColor3fv(inner_color);
glVertex3f(center[0] + radius * sphere[i-step][0][0],
center[1] + radius * sphere[i-step][0][1],
inner_depth);
glColor3fv(outer_color);
glVertex3f(center[0] + radius * sphere[i][0][0],
center[1] + radius * sphere[i][0][1],
outer_depth);
glEnd();
}
glDisable(GL_CULL_FACE);
if (radius < 0) glFrontFace(GL_CCW);
}
void Drawing::_export_sphere (float* center, float radius, int v)
{
radius += coating;
//calculate detail
int step = int(1 + SPH_SCALE/(fabs(radius) * q_scale));
if (step > 5) step = 6;
else if (step > 4) step = 4;
//draw front and back faces
float sign = 1.0f;
for (int side = 0; side <=1; ++side) {
sign = -sign;
for (int i=step; i<=SPH_RHO; i += step) {
float inner_depth = center[2] + sign*radius*sphere[i-step][0][2];
float outer_depth = center[2] + sign*radius*sphere[ i ][0][2];
export_file->new_quad_strip();
for (int j=0; j<SPH_THETA; j+=step) {
export_file->new_segment(
center[0] + sign * radius * sphere[i-step][j][0],
center[1] + radius * sphere[i-step][j][1],
inner_depth,
center[0] + sign * radius * sphere[i][j][0],
center[1] + radius * sphere[i][j][1],
outer_depth
);
}
export_file->new_segment(
center[0] + sign * radius * sphere[i-step][0][0],
center[1] + radius * sphere[i-step][0][1],
inner_depth,
center[0] + sign * radius * sphere[i][0][0],
center[1] + radius * sphere[i][0][1],
outer_depth
);
}
}
}
void Drawing::_draw_arc (Vect& begin, Vect& end, float w)
{//draws a line-based arc from far to near
//check whether the tube needs to be drawn
if (_clipping) { //clipping fails when panning
float s0 = 1/(1+begin[3]);
float s1 = 1/(1+end[3]);
float bx = s0 * begin[0];
float by = s0 * begin[1];
float ex = s1 * end[0];
float ey = s1 * end[1];
if ((bx > w_bound1) and (ex > w_bound1)) return;
if ((bx < w_bound0) and (ex < w_bound0)) return;
if ((by > h_bound1) and (ey > h_bound1)) return;
if ((by < h_bound0) and (ey < h_bound0)) return;
}
//calculate scale
int S = _num_segments(w, rad0);
float line_scale = LINE_SCALE * scale * rad0 * proj(w);
if (line_scale > 1) line_scale = 1;
WIDTH_LINE = line_scale * BASIC_WIDTH_LINE;
glLineWidth(WIDTH_LINE);
glColor4fv(color_fl);
float point[3];
if (S == 1) {
//draw line
glBegin(GL_LINES);
stereo_project(begin, point); glVertex3fv(point);
stereo_project(end, point); glVertex3fv(point);
glEnd();
} else {
//calculate segment locations
glBegin(LINE_STRIP);
for (int s=0; s<=S; ++s) {
Vect temp;
for (int i=0; i<4; ++i) {
temp[i] = s * begin[i] + (S-s) * end[i];
}
normalize(temp);
stereo_project(temp, point);
glVertex3fv(point);
}
glEnd();
}
}
void Drawing::_draw_arc2 (Vect& begin, Vect& end, float w)
{//draws a line-based arc from far to near
//check whether the tube needs to be drawn
if (_clipping) { //clipping fails when panning
float s0 = 1/(1+begin[3]);
float s1 = 1/(1+end[3]);
float bx = s0 * begin[0];
float by = s0 * begin[1];
float ex = s1 * end[0];
float ey = s1 * end[1];
if ((bx > w_bound1) and (ex > w_bound1)) return;
if ((bx < w_bound0) and (ex < w_bound0)) return;
if ((by > h_bound1) and (ey > h_bound1)) return;
if ((by < h_bound0) and (ey < h_bound0)) return;
}
//calculate scale
int S = _num_segments(w, rad0);
float line_scale = LINE_SCALE * q_scale * rad0 * proj(w);
if (line_scale > 1) line_scale = 1;
WIDTH_LINE = line_scale * BASIC_WIDTH_LINE;
WIDTH_BORDER = line_scale * BASIC_WIDTH_BORDER;
if (S == 1) {
//calculate line location
stereo_project(begin, lines[0]);
stereo_project(end, lines[1]);
//draw foreground border
glLineWidth(WIDTH_LINE + 2*WIDTH_BORDER);
glColor4fv(color_fg);
glBegin(GL_LINES);
glVertex3fv(lines[0]);
glVertex3fv(lines[1]);
glEnd();
//center fill
//glEnable(GL_POLYGON_OFFSET_LINE);
glLineWidth(WIDTH_LINE);
glColor4fv(color_fl);
glBegin(GL_LINES);
glVertex3fv(lines[0]);
glVertex3fv(lines[1]);
glEnd();
//glDisable(GL_POLYGON_OFFSET_LINE);
} else {
//calculate segment locations
for (int s=0; s<=S; ++s) {
Vect temp;
for (int i=0; i<4; ++i) {
temp[i] = s * begin[i] + (S-s) * end[i];
}
normalize(temp);
stereo_project(temp, lines[s]);
}
//draw foreground border
glLineWidth(WIDTH_LINE + 2*WIDTH_BORDER);
glColor4fv(color_fg);
glBegin(LINE_STRIP);
for (int s=0; s<=S; ++s) {
glVertex3fv(lines[s]);
}
glEnd();
//center fill
//glEnable(GL_POLYGON_OFFSET_LINE);
glLineWidth(WIDTH_LINE);
glColor4fv(color_fl);
glBegin(LINE_STRIP);
for (int s=0; s<=S; ++s) {
glVertex3fv(lines[s]);
}
glEnd();
//glDisable(GL_POLYGON_OFFSET_LINE);
}
}
void Drawing::_draw_arc_wide (Vect& begin, Vect& end, float w)
{
//calculate scale
int S = _num_segments(w, rad0);
//calculate segment locations
for (int s=0; s<=S; ++s) {
Vect temp;
for (int i=0; i<4; ++i) {
temp[i] = s * begin[i] + (S-s) * end[i];
}
normalize(temp);
width[s] = tube_rad * stereo_project(temp, lines[s]);
}
//calculate normals
for (int s=0; s<S; ++s) {
float dx = lines[s+1][1] - lines [s] [1];
float dy = lines [s] [0] - lines[s+1][0];
float r = sqrtf(sqr(dx)+sqr(dy));
if (r > 0) {
dx /= r;
dy /= r;
}
bord1[s][0] = dx;
bord1[s][1] = dy;
}
if (S == 1) {
normal[0][0] = normal[1][0] = bord1[1][0];
normal[0][1] = normal[1][1] = bord1[1][1];
} else {
//extrapolate endpoints
normal[0][0] = 1.5f*bord1[0][0] - 0.5f*bord1[1][0];
normal[0][1] = 1.5f*bord1[0][1] - 0.5f*bord1[1][1];
normal[S][0] = 1.5f*bord1[S-1][0] - 0.5f*bord1[S-2][0];
normal[S][1] = 1.5f*bord1[S-1][1] - 0.5f*bord1[S-2][1];
//interpolate interior
for (int s=1; s<S; ++s) {
normal[s][0] = 0.5f * (bord1[s-1][0] + bord1[s][0]);
normal[s][1] = 0.5f * (bord1[s-1][1] + bord1[s][1]);
}
}
//find borders
for (int s=0; s<=S; ++s) {
float x = lines[s][0];
float y = lines[s][1];
float dx = width[s] * normal[s][0];
float dy = width[s] * normal[s][1];
bord1[s][0] = x - dx;
bord1[s][1] = y - dy;
bord2[s][0] = x + dx;
bord2[s][1] = y + dy;
}
//draw foreground border
glPolygonMode(GL_FRONT_AND_BACK, FILL);