/* romanboy --- Shows a 3d immersion of the real projective plane
that rotates in 3d or on which you can walk and that can deform
smoothly between the Roman surface and the Boy surface. */
#if 0
static const char sccsid[] = "@(#)romanboy.c 1.1 03/10/14 xlockmore";
#endif
/* Copyright (c) 2014-2020 Carsten Steger <carsten@mirsanmir.org>. */
/*
* Permission to use, copy, modify, and distribute this software and its
* documentation for any purpose and 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.
*
* This file is provided AS IS with no warranties of any kind. The author
* shall have no liability with respect to the infringement of copyrights,
* trade secrets or any patents by this file or any part thereof. In no
* event will the author be liable for any lost revenue or profits or
* other special, indirect and consequential damages.
*
* REVISION HISTORY:
* C. Steger - 03/10/14: Initial version
* C. Steger - 06/01/20: Added the changing colors mode.
*/
/*
* This program shows a 3d immersion of the real projective plane that
* smoothly deforms between the Roman surface and the Boy surface.
* You can walk on the projective plane or turn in 3d. The smooth
* deformation (homotopy) between these two famous immersions of the
* real projective plane was constructed by François Apéry.
*
* The real projective plane is a non-orientable surface. To make
* this apparent, the two-sided color mode can be used.
* Alternatively, orientation markers (curling arrows) can be drawn as
* a texture map on the surface of the projective plane. While
* walking on the projective plane, you will notice that the
* orientation of the curling arrows changes (which it must because
* the projective plane is non-orientable).
*
* The real projective plane is a model for the projective geometry in
* 2d space. One point can be singled out as the origin. A line can
* be singled out as the line at infinity, i.e., a line that lies at
* an infinite distance to the origin. The line at infinity, like all
* lines in the projective plane, is topologically a circle. Points
* on the line at infinity are also used to model directions in
* projective geometry. The origin can be visualized in different
* manners. When using distance colors (and using static colors), the
* origin is the point that is displayed as fully saturated red, which
* is easier to see as the center of the reddish area on the
* projective plane. Alternatively, when using distance bands, the
* origin is the center of the only band that projects to a disk.
* When using direction bands, the origin is the point where all
* direction bands collapse to a point. Finally, when orientation
* markers are being displayed, the origin the the point where all
* orientation markers are compressed to a point. The line at
* infinity can also be visualized in different ways. When using
* distance colors (and using static colors), the line at infinity is
* the line that is displayed as fully saturated magenta. When
* two-sided (and static) colors are used, the line at infinity lies
* at the points where the red and green "sides" of the projective
* plane meet (of course, the real projective plane only has one side,
* so this is a design choice of the visualization). Alternatively,
* when orientation markers are being displayed, the line at infinity
* is the place where the orientation markers change their
* orientation.
*
* Note that when the projective plane is displayed with bands, the
* orientation markers are placed in the middle of the bands. For
* distance bands, the bands are chosen in such a way that the band at
* the origin is only half as wide as the remaining bands, which
* results in a disk being displayed at the origin that has the same
* diameter as the remaining bands. This choice, however, also
* implies that the band at infinity is half as wide as the other
* bands. Since the projective plane is attached to itself (in a
* complicated fashion) at the line at infinity, effectively the band
* at infinity is again as wide as the remaining bands. However,
* since the orientation markers are displayed in the middle of the
* bands, this means that only one half of the orientation markers
* will be displayed twice at the line at infinity if distance bands
* are used. If direction bands are used or if the projective plane
* is displayed as a solid surface, the orientation markers are
* displayed fully at the respective sides of the line at infinity.
*
* The immersed projective plane can be projected to the screen either
* perspectively or orthographically. When using the walking modes,
* perspective projection to the screen will be used.
*
* There are three display modes for the projective plane: mesh
* (wireframe), solid, or transparent. Furthermore, the appearance of
* the projective plane can be as a solid object or as a set of
* see-through bands. The bands can be distance bands, i.e., bands
* that lie at increasing distances from the origin, or direction
* bands, i.e., bands that lie at increasing angles with respect to
* the origin.
*
* When the projective plane is displayed with direction bands, you
* will be able to see that each direction band (modulo the "pinching"
* at the origin) is a Moebius strip, which also shows that the
* projective plane is non-orientable.
*
* Finally, the colors with with the projective plane is drawn can be
* set to one-sided, two-sided, distance, or direction. In one-sided
* mode, the projective plane is drawn with the same color on both
* "sides." In two-sided mode (using static colors), the projective
* plane is drawn with red on one "side" and green on the "other
* side." As described above, the projective plane only has one side,
* so the color jumps from red to green along the line at infinity.
* This mode enables you to see that the projective plane is
* non-orientable. If changing colors are used in two-sided mode,
* changing complementary colors are used on the respective "sides."
* In distance mode, the projective plane is displayed with fully
* saturated colors that depend on the distance of the points on the
* projective plane to the origin. If static colors are used, the
* origin is displayed in red, while the line at infinity is displayed
* in magenta. If the projective plane is displayed as distance
* bands, each band will be displayed with a different color. In
* direction mode, the projective plane is displayed with fully
* saturated colors that depend on the angle of the points on the
* projective plane with respect to the origin. Angles in opposite
* directions to the origin (e.g., 15 and 205 degrees) are displayed
* in the same color since they are projectively equivalent. If the
* projective plane is displayed as direction bands, each band will be
* displayed with a different color.
*
* The rotation speed for each of the three coordinate axes around
* which the projective plane rotates can be chosen.
*
* Furthermore, in the walking mode the walking direction in the 2d
* base square of the projective plane and the walking speed can be
* chosen. The walking direction is measured as an angle in degrees
* in the 2d square that forms the coordinate system of the surface of
* the projective plane. A value of 0 or 180 means that the walk is
* along a circle at a randomly chosen distance from the origin
* (parallel to a distance band). A value of 90 or 270 means that the
* walk is directly from the origin to the line at infinity and back
* (analogous to a direction band). Any other value results in a
* curved path from the origin to the line at infinity and back.
*
* By default, the immersion of the real projective plane smoothly
* deforms between the Roman and Boy surfaces. It is possible to
* choose the speed of the deformation. Furthermore, it is possible
* to switch the deformation off. It is also possible to determine
* the initial deformation of the immersion. This is mostly useful if
* the deformation is switched off, in which case it will determine
* the appearance of the surface.
*
* As a final option, it is possible to display generalized versions
* of the immersion discussed above by specifying the order of the
* surface. The default surface order of 3 results in the immersion
* of the real projective described above. The surface order can be
* chosen between 2 and 9. Odd surface orders result in generalized
* immersions of the real projective plane, while even numbers result
* in a immersion of a topological sphere (which is orientable). The
* most interesting even case is a surface order of 2, which results
* in an immersion of the halfway model of Morin's sphere eversion (if
* the deformation is switched off).
*
* This program is inspired by François Apéry's book "Models of the
* Real Projective Plane", Vieweg, 1987.
*/
#include "curlicue.h"
#ifndef M_PI
#define M_PI 3.14159265358979323846
#endif
#define DISP_WIREFRAME 0
#define DISP_SURFACE 1
#define DISP_TRANSPARENT 2
#define NUM_DISPLAY_MODES 3
#define APPEARANCE_SOLID 0
#define APPEARANCE_DISTANCE_BANDS 1
#define APPEARANCE_DIRECTION_BANDS 2
#define NUM_APPEARANCES 3
#define COLORS_ONESIDED 0
#define COLORS_TWOSIDED 1
#define COLORS_DISTANCE 2
#define COLORS_DIRECTION 3
#define NUM_COLORS 4
#define VIEW_WALK 0
#define VIEW_TURN 1
#define NUM_VIEW_MODES 2
#define DISP_PERSPECTIVE 0
#define DISP_ORTHOGRAPHIC 1
#define NUM_DISP_MODES 2
#define DEF_DISPLAY_MODE "random"
#define DEF_APPEARANCE "random"
#define DEF_COLORS "random"
#define DEF_VIEW_MODE "random"
#define DEF_MARKS "False"
#define DEF_CHANGE_COLORS "False"
#define DEF_DEFORM "True"
#define DEF_PROJECTION "random"
#define DEF_SPEEDX "1.1"
#define DEF_SPEEDY "1.3"
#define DEF_SPEEDZ "1.5"
#define DEF_WALK_DIRECTION "83.0"
#define DEF_WALK_SPEED "20.0"
#define DEF_DEFORM_SPEED "10.0"
#define DEF_INIT_DEFORM "1000.0"
#define DEF_SURFACE_ORDER "3"
#ifdef STANDALONE
# define DEFAULTS "*delay: 10000 \n" \
"*showFPS: False \n" \
# define release_romanboy 0
# include "xlockmore.h" /* from the xscreensaver distribution */
#else /* !STANDALONE */
# include "xlock.h" /* from the xlockmore distribution */
#endif /* !STANDALONE */
#ifdef USE_GL
#ifndef HAVE_JWXYZ
# include <X11/keysym.h>
#endif
#include "gltrackball.h"
#include <float.h>
#ifdef USE_MODULES
ModStruct romanboy_description =
{"romanboy", "init_romanboy", "draw_romanboy",
NULL, "draw_romanboy", "change_romanboy",
"free_romanboy", &romanboy_opts, 25000, 1, 1, 1, 1.0, 4, "",
"Rotate a 3d immersion of the real projective plane in 3d or walk on it",
0, NULL};
#endif
static char *mode;
static char *appear;
static char *color_mode;
static char *view_mode;
static Bool marks;
static Bool deform;
static Bool change_colors;
static char *proj;
static float speed_x;
static float speed_y;
static float speed_z;
static float walk_direction;
static float walk_speed;
static float deform_speed;
static float init_deform;
static int surface_order;
static XrmOptionDescRec opts[] =
{
{"-mode", ".displayMode", XrmoptionSepArg, 0 },
{"-wireframe", ".displayMode", XrmoptionNoArg, "wireframe" },
{"-surface", ".displayMode", XrmoptionNoArg, "surface" },
{"-transparent", ".displayMode", XrmoptionNoArg, "transparent" },
{"-appearance", ".appearance", XrmoptionSepArg, 0 },
{"-solid", ".appearance", XrmoptionNoArg, "solid" },
{"-distance-bands", ".appearance", XrmoptionNoArg, "distance-bands" },
{"-direction-bands", ".appearance", XrmoptionNoArg, "direction-bands" },
{"-colors", ".colors", XrmoptionSepArg, 0 },
{"-onesided-colors", ".colors", XrmoptionNoArg, "one-sided" },
{"-twosided-colors", ".colors", XrmoptionNoArg, "two-sided" },
{"-distance-colors", ".colors", XrmoptionNoArg, "distance" },
{"-direction-colors", ".colors", XrmoptionNoArg, "direction" },
{"-change-colors", ".changeColors", XrmoptionNoArg, "on"},
{"+change-colors", ".changeColors", XrmoptionNoArg, "off"},
{"-view-mode", ".viewMode", XrmoptionSepArg, 0 },
{"-walk", ".viewMode", XrmoptionNoArg, "walk" },
{"-turn", ".viewMode", XrmoptionNoArg, "turn" },
{"-deform", ".deform", XrmoptionNoArg, "on"},
{"+deform", ".deform", XrmoptionNoArg, "off"},
{"-orientation-marks", ".marks", XrmoptionNoArg, "on"},
{"+orientation-marks", ".marks", XrmoptionNoArg, "off"},
{"-projection", ".projection", XrmoptionSepArg, 0 },
{"-perspective", ".projection", XrmoptionNoArg, "perspective" },
{"-orthographic", ".projection", XrmoptionNoArg, "orthographic" },
{"-speed-x", ".speedx", XrmoptionSepArg, 0 },
{"-speed-y", ".speedy", XrmoptionSepArg, 0 },
{"-speed-z", ".speedz", XrmoptionSepArg, 0 },
{"-walk-direction", ".walkDirection", XrmoptionSepArg, 0 },
{"-walk-speed", ".walkSpeed", XrmoptionSepArg, 0 },
{"-deformation-speed", ".deformSpeed", XrmoptionSepArg, 0 },
{"-initial-deformation", ".initDeform", XrmoptionSepArg, 0 },
{"-roman", ".initDeform", XrmoptionNoArg, "0.0" },
{"-boy", ".initDeform", XrmoptionNoArg, "1000.0" },
{"-surface-order", ".surfaceOrder", XrmoptionSepArg, 0 },
};
static argtype vars[] =
{
{ &mode, "displayMode", "DisplayMode", DEF_DISPLAY_MODE, t_String },
{ &appear, "appearance", "Appearance", DEF_APPEARANCE, t_String },
{ &color_mode, "colors", "Colors", DEF_COLORS, t_String },
{ &change_colors, "changeColors", "ChangeColors", DEF_CHANGE_COLORS, t_Bool },
{ &view_mode, "viewMode", "ViewMode", DEF_VIEW_MODE, t_String },
{ &deform, "deform", "Deform", DEF_DEFORM, t_Bool },
{ &marks, "marks", "Marks", DEF_MARKS, t_Bool },
{ &proj, "projection", "Projection", DEF_PROJECTION, t_String },
{ &speed_x, "speedx", "Speedx", DEF_SPEEDX, t_Float},
{ &speed_y, "speedy", "Speedy", DEF_SPEEDY, t_Float},
{ &speed_z, "speedz", "Speedz", DEF_SPEEDZ, t_Float},
{ &walk_direction, "walkDirection", "WalkDirection", DEF_WALK_DIRECTION, t_Float},
{ &walk_speed, "walkSpeed", "WalkSpeed", DEF_WALK_SPEED, t_Float},
{ &deform_speed, "deformSpeed", "DeformSpeed", DEF_DEFORM_SPEED, t_Float},
{ &init_deform, "initDeform", "InitDeform", DEF_INIT_DEFORM, t_Float },
{ &surface_order, "surfaceOrder", "SurfaceOrder", DEF_SURFACE_ORDER, t_Int }
};
ENTRYPOINT ModeSpecOpt romanboy_opts =
{sizeof opts / sizeof opts[0], opts, sizeof vars / sizeof vars[0], vars, NULL};
/* Offset by which we walk above the projective plane */
#define DELTAY 0.01
/* Color change speeds */
#define DRHO 0.7
#define DSIGMA 1.1
#define DTAU 1.7
/* Number of subdivisions of the projective plane */
#define NUMU 64
#define NUMV 128
/* Number of subdivisions per band */
#define NUMB 8
typedef struct {
GLint WindH, WindW;
GLXContext *glx_context;
/* Options */
int display_mode;
int appearance;
int colors;
Bool change_colors;
int view;
int projection;
Bool marks;
/* 3D rotation angles */
float alpha, beta, delta;
/* Color rotation angles */
float rho, sigma, tau;
/* Movement parameters */
float umove, vmove, dumove, dvmove;
int side, dir;
/* Deformation parameters */
float dd;
int defdir;
/* The type of the generalized Roman-Boy surface */
int g;
/* The viewing offset in 3d */
float offset3d[3];
/* The 3d coordinates of the projective plane and their derivatives */
float *pp;
float *pn;
/* The precomputed colors of the projective plane */
float *col;
/* The precomputed texture coordinates of the projective plane */
float *tex;
/* The "curlicue" texture */
GLuint tex_name;
/* Aspect ratio of the current window */
float aspect;
/* Trackball states */
trackball_state *trackball;
Bool button_pressed;
/* A random factor to modify the rotation speeds */
float speed_scale;
} romanboystruct;
static romanboystruct *romanboy = (romanboystruct *) NULL;
/* Add a rotation around the x-axis to the matrix m. */
static void rotatex(float m[3][3], float phi)
{
float c, s, u, v;
int i;
phi *= M_PI/180.0;
c = cos(phi);
s = sin(phi);
for (i=0; i<3; i++)
{
u = m[i][1];
v = m[i][2];
m[i][1] = c*u+s*v;
m[i][2] = -s*u+c*v;
}
}
/* Add a rotation around the y-axis to the matrix m. */
static void rotatey(float m[3][3], float phi)
{
float c, s, u, v;
int i;
phi *= M_PI/180.0;
c = cos(phi);
s = sin(phi);
for (i=0; i<3; i++)
{
u = m[i][0];
v = m[i][2];
m[i][0] = c*u-s*v;
m[i][2] = s*u+c*v;
}
}
/* Add a rotation around the z-axis to the matrix m. */
static void rotatez(float m[3][3], float phi)
{
float c, s, u, v;
int i;
phi *= M_PI/180.0;
c = cos(phi);
s = sin(phi);
for (i=0; i<3; i++)
{
u = m[i][0];
v = m[i][1];
m[i][0] = c*u+s*v;
m[i][1] = -s*u+c*v;
}
}
/* Compute the rotation matrix m from the rotation angles. */
static void rotateall(float al, float be, float de, float m[3][3])
{
int i, j;
for (i=0; i<3; i++)
for (j=0; j<3; j++)
m[i][j] = (i==j);
rotatex(m,al);
rotatey(m,be);
rotatez(m,de);
}
/* Multiply two rotation matrices: o=m*n. */
static void mult_rotmat(float m[3][3], float n[3][3], float o[3][3])
{
int i, j, k;
for (i=0; i<3; i++)
{
for (j=0; j<3; j++)
{
o[i][j] = 0.0;
for (k=0; k<3; k++)
o[i][j] += m[i][k]*n[k][j];
}
}
}
/* Compute a 3D rotation matrix from a unit quaternion. */
static void quat_to_rotmat(float p[4], float m[3][3])
{
double al, be, de;
double r00, r01, r02, r12, r22;
r00 = 1.0-2.0*(p[1]*p[1]+p[2]*p[2]);
r01 = 2.0*(p[0]*p[1]+p[2]*p[3]);
r02 = 2.0*(p[2]*p[0]-p[1]*p[3]);
r12 = 2.0*(p[1]*p[2]+p[0]*p[3]);
r22 = 1.0-2.0*(p[1]*p[1]+p[0]*p[0]);
al = atan2(-r12,r22)*180.0/M_PI;
be = atan2(r02,sqrt(r00*r00+r01*r01))*180.0/M_PI;
de = atan2(-r01,r00)*180.0/M_PI;
rotateall(al,be,de,m);
}
/* Compute a fully saturated and bright color based on an angle. */
static void color(romanboystruct *pp, double angle, float mat[3][3],
float col[4])
{
int s;
double t, ca, sa;
float m;
if (!pp->change_colors)
{
if (pp->colors == COLORS_ONESIDED || pp->colors == COLORS_TWOSIDED)
return;
if (angle >= 0.0)
angle = fmod(angle,2.0*M_PI);
else
angle = fmod(angle,-2.0*M_PI);
s = floor(angle/(M_PI/3));
t = angle/(M_PI/3)-s;
if (s >= 6)
s = 0;
switch (s)
{
case 0:
col[0] = 1.0;
col[1] = t;
col[2] = 0.0;
break;
case 1:
col[0] = 1.0-t;
col[1] = 1.0;
col[2] = 0.0;
break;
case 2:
col[0] = 0.0;
col[1] = 1.0;
col[2] = t;
break;
case 3:
col[0] = 0.0;
col[1] = 1.0-t;
col[2] = 1.0;
break;
case 4:
col[0] = t;
col[1] = 0.0;
col[2] = 1.0;
break;
case 5:
col[0] = 1.0;
col[1] = 0.0;
col[2] = 1.0-t;
break;
}
}
else /* pp->change_colors */
{
if (pp->colors == COLORS_ONESIDED || pp->colors == COLORS_TWOSIDED)
{
col[0] = mat[0][2];
col[1] = mat[1][2];
col[2] = mat[2][2];
}
else
{
ca = cos(angle);
sa = sin(angle);
col[0] = ca*mat[0][0]+sa*mat[0][1];
col[1] = ca*mat[1][0]+sa*mat[1][1];
col[2] = ca*mat[2][0]+sa*mat[2][1];
}
m = 0.5f/fmaxf(fmaxf(fabsf(col[0]),fabsf(col[1])),fabsf(col[2]));
col[0] = m*col[0]+0.5f;
col[1] = m*col[1]+0.5f;
col[2] = m*col[2]+0.5f;
}
if (pp->display_mode == DISP_TRANSPARENT)
col[3] = 0.7;
else
col[3] = 1.0;
}
/* Set up the projective plane colors and texture. */
static void setup_roman_boy_color_texture(ModeInfo *mi, double umin,
double umax, double vmin,
double vmax, int numu, int numv)
{
int i, j, k, g;
double u, v, ur, vr;
romanboystruct *pp = &romanboy[MI_SCREEN(mi)];
g = pp->g;
ur = umax-umin;
vr = vmax-vmin;
for (i=0; i<=numv; i++)
{
for (j=0; j<=numu; j++)
{
k = i*(numu+1)+j;
if (pp->appearance != APPEARANCE_DIRECTION_BANDS)
u = -ur*j/numu+umin;
else
u = ur*j/numu+umin;
v = vr*i/numv+vmin;
if (!pp->change_colors)
{
if (pp->colors == COLORS_DIRECTION)
color(pp,2.0*M_PI-fmod(2.0*u,2.0*M_PI),NULL,&pp->col[4*k]);
else /* pp->colors == COLORS_DISTANCE */
color(pp,v*(5.0/6.0),NULL,&pp->col[4*k]);
}
pp->tex[2*k+0] = -16*g*u/(2.0*M_PI);
if (pp->appearance == APPEARANCE_DISTANCE_BANDS)
pp->tex[2*k+1] = 32*v/(2.0*M_PI)-0.5;
else
pp->tex[2*k+1] = 32*v/(2.0*M_PI);
}
}
}
/* Draw a 3d immersion of the projective plane. */
static int roman_boy(ModeInfo *mi, double umin, double umax,
double vmin, double vmax, int numu, int numv)
{
int polys = 0;
static const GLfloat mat_diff_red[] = { 1.0, 0.0, 0.0, 1.0 };
static const GLfloat mat_diff_green[] = { 0.0, 1.0, 0.0, 1.0 };
static const GLfloat mat_diff_oneside[] = { 0.9, 0.4, 0.3, 1.0 };
static const GLfloat mat_diff_trans_red[] = { 1.0, 0.0, 0.0, 0.7 };
static const GLfloat mat_diff_trans_green[] = { 0.0, 1.0, 0.0, 0.7 };
static const GLfloat mat_diff_trans_oneside[] = { 0.9, 0.4, 0.3, 0.7 };
float mat_diff_dyn[4], mat_diff_dyn_compl[4];
float p[3], pu[3], pv[3], pm[3], n[3], b[3], mat[3][3], matc[3][3];
int i, j, k, l, m, o, g;
double u, v, ur, vr, oz;
double xx[3], xxu[3], xxv[3];
double r, s, t;
double d, dd, radius;
double cu, su, cgu, sgu, cgm1u, sgm1u, cv, c2v, s2v, cv2;
double sqrt2og, h1m1og, gm1, nomx, nomy, nomux, nomuy, nomvx, nomvy;
double den, den2, denu, denv;
float qu[4], r1[3][3], r2[3][3];
romanboystruct *pp = &romanboy[MI_SCREEN(mi)];
g = pp->g;
dd = pp->dd;
d = ((6.0*dd-15.0)*dd+10.0)*dd*dd*dd;
r = 1.0+d*d*(1.0/2.0+d*d*(1.0/6.0+d*d*(1.0/3.0)));
radius = 1.0/r;
oz = 0.5*r;
if (pp->change_colors)
rotateall(pp->rho,pp->sigma,pp->tau,matc);
if (pp->view == VIEW_WALK)
{
u = pp->umove;
v = pp->vmove;
if (g & 1)
v = 0.5*M_PI-0.25*v;
else
v = 0.5*M_PI-0.5*v;
sqrt2og = M_SQRT2/g;
h1m1og = 0.5*(1.0-1.0/g);
gm1 = g-1.0;
cu = cos(u);
su = sin(u);
cgu = cos(g*u);
sgu = sin(g*u);
cgm1u = cos(gm1*u);
sgm1u = sin(gm1*u);
cv = cos(v);
c2v = cos(2.0*v);
s2v = sin(2.0*v);
cv2 = cv*cv;
nomx = sqrt2og*cv2*cgm1u+h1m1og*s2v*cu;
nomy = sqrt2og*cv2*sgm1u-h1m1og*s2v*su;
nomux = -sqrt2og*cv2*gm1*sgm1u-h1m1og*s2v*su;
nomuy = sqrt2og*cv2*gm1*cgm1u-h1m1og*s2v*cu;
nomvx = -sqrt2og*s2v*cgm1u+2.0*h1m1og*c2v*cu;
nomvy = -sqrt2og*s2v*sgm1u-2.0*h1m1og*c2v*su;
den = 1.0/(1.0-0.5*M_SQRT2*d*s2v*sgu);
den2 = den*den;
denu = 0.5*M_SQRT2*d*g*cgu*s2v;
denv = M_SQRT2*d*sgu*c2v;
xx[0] = nomx*den;
xx[1] = nomy*den;
xx[2] = cv2*den-oz;
/* Avoid degenerate tangential plane basis vectors. */
if (0.5*M_PI-fabs(v) < FLT_EPSILON)
{
if (0.5*M_PI-v < FLT_EPSILON)
v = 0.5*M_PI-FLT_EPSILON;
else
v = -0.5*M_PI+FLT_EPSILON;
cv = cos(v);
c2v = cos(2.0*v);
s2v = sin(2.0*v);
cv2 = cv*cv;
nomx = sqrt2og*cv2*cgm1u+h1m1og*s2v*cu;
nomy = sqrt2og*cv2*sgm1u-h1m1og*s2v*su;
nomux = -sqrt2og*cv2*gm1*sgm1u-h1m1og*s2v*su;
nomuy = sqrt2og*cv2*gm1*cgm1u-h1m1og*s2v*cu;
nomvx = -sqrt2og*s2v*cgm1u+2.0*h1m1og*c2v*cu;
nomvy = -sqrt2og*s2v*sgm1u-2.0*h1m1og*c2v*su;
den = 1.0/(1.0-0.5*M_SQRT2*d*s2v*sgu);
den2 = den*den;
denu = 0.5*M_SQRT2*d*g*cgu*s2v;
denv = M_SQRT2*d*sgu*c2v;
}
xxu[0] = nomux*den+nomx*denu*den2;
xxu[1] = nomuy*den+nomy*denu*den2;
xxu[2] = cv2*denu*den2;
xxv[0] = nomvx*den+nomx*denv*den2;
xxv[1] = nomvy*den+nomy*denv*den2;
xxv[2] = -s2v*den+cv2*denv*den2;
for (l=0; l<3; l++)
{
p[l] = xx[l]*radius;
pu[l] = xxu[l]*radius;
pv[l] = xxv[l]*radius;
}
n[0] = pu[1]*pv[2]-pu[2]*pv[1];
n[1] = pu[2]*pv[0]-pu[0]*pv[2];
n[2] = pu[0]*pv[1]-pu[1]*pv[0];
t = 1.0/(pp->side*4.0*sqrt(n[0]*n[0]+n[1]*n[1]+n[2]*n[2]));
n[0] *= t;
n[1] *= t;
n[2] *= t;
pm[0] = pu[0]*pp->dumove-pv[0]*0.25*pp->dvmove;
pm[1] = pu[1]*pp->dumove-pv[1]*0.25*pp->dvmove;
pm[2] = pu[2]*pp->dumove-pv[2]*0.25*pp->dvmove;
t = 1.0/(4.0*sqrt(pm[0]*pm[0]+pm[1]*pm[1]+pm[2]*pm[2]));
pm[0] *= t;
pm[1] *= t;
pm[2] *= t;
b[0] = n[1]*pm[2]-n[2]*pm[1];
b[1] = n[2]*pm[0]-n[0]*pm[2];
b[2] = n[0]*pm[1]-n[1]*pm[0];
t = 1.0/(4.0*sqrt(b[0]*b[0]+b[1]*b[1]+b[2]*b[2]));
b[0] *= t;
b[1] *= t;
b[2] *= t;
/* Compute alpha, beta, gamma from the three basis vectors.
| -b[0] -b[1] -b[2] |
m = | n[0] n[1] n[2] |
| -pm[0] -pm[1] -pm[2] |
*/
pp->alpha = atan2(-n[2],-pm[2])*180/M_PI;
pp->beta = atan2(-b[2],sqrt(b[0]*b[0]+b[1]*b[1]))*180/M_PI;
pp->delta = atan2(b[1],-b[0])*180/M_PI;
/* Compute the rotation that rotates the projective plane in 3D. */
rotateall(pp->alpha,pp->beta,pp->delta,mat);
u = pp->umove;
v = pp->vmove;
if (g & 1)
v = 0.5*M_PI-0.25*v;
else
v = 0.5*M_PI-0.5*v;
sqrt2og = M_SQRT2/g;
h1m1og = 0.5*(1.0-1.0/g);
gm1 = g-1.0;
cu = cos(u);
su = sin(u);
sgu = sin(g*u);
cgm1u = cos(gm1*u);
sgm1u = sin(gm1*u);
cv = cos(v);
s2v = sin(2.0*v);
cv2 = cv*cv;
nomx = sqrt2og*cv2*cgm1u+h1m1og*s2v*cu;
nomy = sqrt2og*cv2*sgm1u-h1m1og*s2v*su;
den = 1.0/(1.0-0.5*M_SQRT2*d*s2v*sgu);
xx[0] = nomx*den;
xx[1] = nomy*den;
xx[2] = cv2*den-oz;
for (l=0; l<3; l++)
{
r = 0.0;
for (m=0; m<3; m++)
r += mat[l][m]*xx[m];
p[l] = r*radius;
}
pp->offset3d[0] = -p[0];
pp->offset3d[1] = -p[1]-DELTAY;
pp->offset3d[2] = -p[2];
}
else
{
/* Compute the rotation that rotates the projective plane in 3D,
including the trackball rotations. */
rotateall(pp->alpha,pp->beta,pp->delta,r1);
gltrackball_get_quaternion(pp->trackball,qu);
quat_to_rotmat(qu,r2);
mult_rotmat(r2,r1,mat);
}
if (!pp->change_colors)
{
if (pp->colors == COLORS_ONESIDED)
{
glColor3fv(mat_diff_oneside);
if (pp->display_mode == DISP_TRANSPARENT)
{
glMaterialfv(GL_FRONT_AND_BACK,GL_AMBIENT_AND_DIFFUSE,
mat_diff_trans_oneside);
}
else
{
glMaterialfv(GL_FRONT_AND_BACK,GL_AMBIENT_AND_DIFFUSE,
mat_diff_oneside);
}
}
else if (pp->colors == COLORS_TWOSIDED)
{
glColor3fv(mat_diff_red);
if (pp->display_mode == DISP_TRANSPARENT)
{
glMaterialfv(GL_FRONT,GL_AMBIENT_AND_DIFFUSE,mat_diff_trans_red);
glMaterialfv(GL_BACK,GL_AMBIENT_AND_DIFFUSE,mat_diff_trans_green);
}
else
{
glMaterialfv(GL_FRONT,GL_AMBIENT_AND_DIFFUSE,mat_diff_red);
glMaterialfv(GL_BACK,GL_AMBIENT_AND_DIFFUSE,mat_diff_green);
}
}
}
else /* pp->change_colors */
{
color(pp,0.0,matc,mat_diff_dyn);
if (pp->colors == COLORS_ONESIDED)
{
glColor3fv(mat_diff_dyn);
glMaterialfv(GL_FRONT_AND_BACK,GL_AMBIENT_AND_DIFFUSE,mat_diff_dyn);
}
else if (pp->colors == COLORS_TWOSIDED)
{
mat_diff_dyn_compl[0] = 1.0f-mat_diff_dyn[0];
mat_diff_dyn_compl[1] = 1.0f-mat_diff_dyn[1];
mat_diff_dyn_compl[2] = 1.0f-mat_diff_dyn[2];
mat_diff_dyn_compl[3] = mat_diff_dyn[3];
glColor3fv(mat_diff_dyn);
glMaterialfv(GL_FRONT,GL_AMBIENT_AND_DIFFUSE,mat_diff_dyn);
glMaterialfv(GL_BACK,GL_AMBIENT_AND_DIFFUSE,mat_diff_dyn_compl);
}
}
glBindTexture(GL_TEXTURE_2D,pp->tex_name);
ur = umax-umin;
vr = vmax-vmin;
/* Set up the projective plane coordinates and normals. */
if (pp->appearance != APPEARANCE_DIRECTION_BANDS)
{
for (i=0; i<=numv; i++)
{
if (pp->appearance == APPEARANCE_DISTANCE_BANDS &&
((i & (NUMB-1)) >= NUMB/4+1) && ((i & (NUMB-1)) < 3*NUMB/4))
continue;
for (j=0; j<=numu; j++)
{
o = i*(numu+1)+j;
u = ur*j/numu+umin;
v = vr*i/numv+vmin;
if (pp->change_colors)
{
/* Compute the colors dynamically. */
if (pp->colors == COLORS_DIRECTION)
color(pp,2.0*M_PI-fmod(2.0*u,2.0*M_PI),matc,&pp->col[4*o]);
else if (pp->colors == COLORS_DISTANCE)
color(pp,v*(5.0/6.0),matc,&pp->col[4*o]);
}
if (g & 1)
v = 0.5*M_PI-0.25*v;
else
v = 0.5*M_PI-0.5*v;
sqrt2og = M_SQRT2/g;
h1m1og = 0.5*(1.0-1.0/g);
gm1 = g-1.0;
cu = cos(u);
su = sin(u);
cgu = cos(g*u);
sgu = sin(g*u);
cgm1u = cos(gm1*u);
sgm1u = sin(gm1*u);
cv = cos(v);
c2v = cos(2.0*v);
s2v = sin(2.0*v);
cv2 = cv*cv;
nomx = sqrt2og*cv2*cgm1u+h1m1og*s2v*cu;
nomy = sqrt2og*cv2*sgm1u-h1m1og*s2v*su;
nomux = -sqrt2og*cv2*gm1*sgm1u-h1m1og*s2v*su;
nomuy = sqrt2og*cv2*gm1*cgm1u-h1m1og*s2v*cu;
nomvx = -sqrt2og*s2v*cgm1u+2.0*h1m1og*c2v*cu;
nomvy = -sqrt2og*s2v*sgm1u-2.0*h1m1og*c2v*su;
den = 1.0/(1.0-0.5*M_SQRT2*d*s2v*sgu);
den2 = den*den;
denu = 0.5*M_SQRT2*d*g*cgu*s2v;
denv = M_SQRT2*d*sgu*c2v;
xx[0] = nomx*den;
xx[1] = nomy*den;
xx[2] = cv2*den-oz;
/* Avoid degenerate tangential plane basis vectors. */
if (0.5*M_PI-fabs(v) < FLT_EPSILON)
{
if (0.5*M_PI-v < FLT_EPSILON)
v = 0.5*M_PI-FLT_EPSILON;
else
v = -0.5*M_PI+FLT_EPSILON;
cv = cos(v);
c2v = cos(2.0*v);
s2v = sin(2.0*v);
cv2 = cv*cv;
nomx = sqrt2og*cv2*cgm1u+h1m1og*s2v*cu;
nomy = sqrt2og*cv2*sgm1u-h1m1og*s2v*su;
nomux = -sqrt2og*cv2*gm1*sgm1u-h1m1og*s2v*su;
nomuy = sqrt2og*cv2*gm1*cgm1u-h1m1og*s2v*cu;
nomvx = -sqrt2og*s2v*cgm1u+2.0*h1m1og*c2v*cu;
nomvy = -sqrt2og*s2v*sgm1u-2.0*h1m1og*c2v*su;
den = 1.0/(1.0-0.5*M_SQRT2*d*s2v*sgu);
den2 = den*den;
denu = 0.5*M_SQRT2*d*g*cgu*s2v;
denv = M_SQRT2*d*sgu*c2v;
}
xxu[0] = nomux*den+nomx*denu*den2;
xxu[1] = nomuy*den+nomy*denu*den2;
xxu[2] = cv2*denu*den2;
xxv[0] = nomvx*den+nomx*denv*den2;
xxv[1] = nomvy*den+nomy*denv*den2;
xxv[2] = -s2v*den+cv2*denv*den2;
for (l=0; l<3; l++)
{
r = 0.0;
s = 0.0;
t = 0.0;
for (m=0; m<3; m++)
{
r += mat[l][m]*xx[m];
s += mat[l][m]*xxu[m];
t += mat[l][m]*xxv[m];
}
p[l] = r*radius+pp->offset3d[l];
pu[l] = s*radius;
pv[l] = t*radius;
}
n[0] = pu[1]*pv[2]-pu[2]*pv[1];
n[1] = pu[2]*pv[0]-pu[0]*pv[2];
n[2] = pu[0]*pv[1]-pu[1]*pv[0];
t = 1.0/sqrt(n[0]*n[0]+n[1]*n[1]+n[2]*n[2]);
n[0] *= t;
n[1] *= t;
n[2] *= t;
pp->pp[3*o+0] = p[0];
pp->pp[3*o+1] = p[1];
pp->pp[3*o+2] = p[2];
pp->pn[3*o+0] = n[0];
pp->pn[3*o+1] = n[1];
pp->pn[3*o+2] = n[2];
}
}
}
else /* pp->appearance == APPEARANCE_DIRECTION_BANDS */
{
for (j=0; j<=numu; j++)
{
if ((j & (NUMB-1)) >= NUMB/2+1)
continue;
for (i=0; i<=numv; i++)
{
o = i*(numu+1)+j;
u = -ur*j/numu+umin;
v = vr*i/numv+vmin;
if (pp->change_colors)
{
/* Compute the colors dynamically. */
if (pp->colors == COLORS_DIRECTION)
color(pp,2.0*M_PI-fmod(2.0*u,2.0*M_PI),matc,&pp->col[4*o]);
else if (pp->colors == COLORS_DISTANCE)
color(pp,v*(5.0/6.0),matc,&pp->col[4*o]);
}
if (g & 1)
v = 0.5*M_PI-0.25*v;
else
v = 0.5*M_PI-0.5*v;
sqrt2og = M_SQRT2/g;
h1m1og = 0.5*(1.0-1.0/g);
gm1 = g-1.0;
cu = cos(u);
su = sin(u);
cgu = cos(g*u);
sgu = sin(g*u);
cgm1u = cos(gm1*u);
sgm1u = sin(gm1*u);
cv = cos(v);
c2v = cos(2.0*v);
s2v = sin(2.0*v);
cv2 = cv*cv;
nomx = sqrt2og*cv2*cgm1u+h1m1og*s2v*cu;
nomy = sqrt2og*cv2*sgm1u-h1m1og*s2v*su;
nomux = -sqrt2og*cv2*gm1*sgm1u-h1m1og*s2v*su;
nomuy = sqrt2og*cv2*gm1*cgm1u-h1m1og*s2v*cu;
nomvx = -sqrt2og*s2v*cgm1u+2.0*h1m1og*c2v*cu;
nomvy = -sqrt2og*s2v*sgm1u-2.0*h1m1og*c2v*su;
den = 1.0/(1.0-0.5*M_SQRT2*d*s2v*sgu);
den2 = den*den;
denu = 0.5*M_SQRT2*d*g*cgu*s2v;
denv = M_SQRT2*d*sgu*c2v;
xx[0] = nomx*den;
xx[1] = nomy*den;
xx[2] = cv2*den-oz;
/* Avoid degenerate tangential plane basis vectors. */
if (0.5*M_PI-fabs(v) < FLT_EPSILON)
{
if (0.5*M_PI-v < FLT_EPSILON)
v = 0.5*M_PI-FLT_EPSILON;
else
v = -0.5*M_PI+FLT_EPSILON;
cv = cos(v);
c2v = cos(2.0*v);
s2v = sin(2.0*v);
cv2 = cv*cv;
nomx = sqrt2og*cv2*cgm1u+h1m1og*s2v*cu;
nomy = sqrt2og*cv2*sgm1u-h1m1og*s2v*su;
nomux = -sqrt2og*cv2*gm1*sgm1u-h1m1og*s2v*su;
nomuy = sqrt2og*cv2*gm1*cgm1u-h1m1og*s2v*cu;
nomvx = -sqrt2og*s2v*cgm1u+2.0*h1m1og*c2v*cu;
nomvy = -sqrt2og*s2v*sgm1u-2.0*h1m1og*c2v*su;
den = 1.0/(1.0-0.5*M_SQRT2*d*s2v*sgu);
den2 = den*den;
denu = 0.5*M_SQRT2*d*g*cgu*s2v;
denv = M_SQRT2*d*sgu*c2v;
}
xxu[0] = nomux*den+nomx*denu*den2;
xxu[1] = nomuy*den+nomy*denu*den2;
xxu[2] = cv2*denu*den2;
xxv[0] = nomvx*den+nomx*denv*den2;
xxv[1] = nomvy*den+nomy*denv*den2;
xxv[2] = -s2v*den+cv2*denv*den2;
for (l=0; l<3; l++)
{
r = 0.0;
s = 0.0;
t = 0.0;
for (m=0; m<3; m++)
{
r += mat[l][m]*xx[m];
s += mat[l][m]*xxu[m];
t += mat[l][m]*xxv[m];
}
p[l] = r*radius+pp->offset3d[l];
pu[l] = s*radius;
pv[l] = t*radius;
}
n[0] = pu[1]*pv[2]-pu[2]*pv[1];
n[1] = pu[2]*pv[0]-pu[0]*pv[2];
n[2] = pu[0]*pv[1]-pu[1]*pv[0];
t = 1.0/sqrt(n[0]*n[0]+n[1]*n[1]+n[2]*n[2]);
n[0] *= t;
n[1] *= t;
n[2] *= t;
pp->pp[3*o+0] = p[0];
pp->pp[3*o+1] = p[1];
pp->pp[3*o+2] = p[2];
pp->pn[3*o+0] = n[0];
pp->pn[3*o+1] = n[1];
pp->pn[3*o+2] = n[2];
}
}
}
if (pp->appearance != APPEARANCE_DIRECTION_BANDS)
{
for (i=0; i<numv; i++)
{
if (pp->appearance == APPEARANCE_DISTANCE_BANDS &&
((i & (NUMB-1)) >= NUMB/4) && ((i & (NUMB-1)) < 3*NUMB/4))
continue;
if (pp->display_mode == DISP_WIREFRAME)
glBegin(GL_QUAD_STRIP);
else
glBegin(GL_TRIANGLE_STRIP);
for (j=0; j<=numu; j++)
{
for (k=0; k<=1; k++)
{
l = (i+k);
m = j;
o = l*(numu+1)+m;
glTexCoord2fv(&pp->tex[2*o]);
if (pp->colors != COLORS_ONESIDED && pp->colors != COLORS_TWOSIDED)
{
glColor3fv(&pp->col[4*o]);
glMaterialfv(GL_FRONT_AND_BACK,GL_AMBIENT_AND_DIFFUSE,
&pp->col[4*o]);
}
glNormal3fv(&pp->pn[3*o]);
glVertex3fv(&pp->pp[3*o]);
polys++;
}
}
glEnd();
}
}
else /* pp->appearance == APPEARANCE_DIRECTION_BANDS */
{
for (j=0; j<numu; j++)
{
if ((j & (NUMB-1)) >= NUMB/2)
continue;
if (pp->display_mode == DISP_WIREFRAME)
glBegin(GL_QUAD_STRIP);
else
glBegin(GL_TRIANGLE_STRIP);
for (i=0; i<=numv; i++)
{
for (k=0; k<=1; k++)
{
l = i;
m = (j+k);
o = l*(numu+1)+m;
glTexCoord2fv(&pp->tex[2*o]);
if (pp->colors != COLORS_ONESIDED && pp->colors != COLORS_TWOSIDED)
{
glColor3fv(&pp->col[4*o]);
glMaterialfv(GL_FRONT_AND_BACK,GL_AMBIENT_AND_DIFFUSE,
&pp->col[4*o]);
}
glNormal3fv(&pp->pn[3*o]);
glVertex3fv(&pp->pp[3*o]);
polys++;
}
}
glEnd();
}
}
polys /= 2;
return polys;
}
/* Generate a texture image that shows the orientation reversal. */
static void gen_texture(ModeInfo *mi)
{
romanboystruct *pp = &romanboy[MI_SCREEN(mi)];
glGenTextures(1,&pp->tex_name);
glBindTexture(GL_TEXTURE_2D,pp->tex_name);
glPixelStorei(GL_UNPACK_ALIGNMENT,1);
glTexParameterf(GL_TEXTURE_2D,GL_TEXTURE_WRAP_S,GL_REPEAT);
glTexParameterf(GL_TEXTURE_2D,GL_TEXTURE_WRAP_T,GL_REPEAT);
glTexParameterf(GL_TEXTURE_2D,GL_TEXTURE_MAG_FILTER,GL_LINEAR);
glTexParameterf(GL_TEXTURE_2D,GL_TEXTURE_MIN_FILTER,GL_LINEAR);
glTexEnvf(GL_TEXTURE_ENV,GL_TEXTURE_ENV_MODE,GL_MODULATE);
glTexImage2D(GL_TEXTURE_2D,0,GL_LUMINANCE,TEX_DIMENSION,TEX_DIMENSION,0,
GL_LUMINANCE,GL_UNSIGNED_BYTE,texture);
}
static void init(ModeInfo *mi)
{
static const GLfloat light_ambient[] = { 0.0, 0.0, 0.0, 1.0 };
static const GLfloat light_diffuse[] = { 1.0, 1.0, 1.0, 1.0 };
static const GLfloat light_specular[] = { 1.0, 1.0, 1.0, 1.0 };
static const GLfloat light_position[] = { 1.0, 1.0, 1.0, 0.0 };
static const GLfloat mat_specular[] = { 1.0, 1.0, 1.0, 1.0 };
romanboystruct *pp = &romanboy[MI_SCREEN(mi)];
if (deform_speed == 0.0)
deform_speed = 10.0;
if (init_deform < 0.0)
init_deform = 0.0;
if (init_deform > 1000.0)
init_deform = 1000.0;
if (walk_speed == 0.0)
walk_speed = 20.0;
if (pp->view == VIEW_TURN)
{
pp->alpha = frand(360.0);
pp->beta = frand(360.0);
pp->delta = frand(360.0);
}
else
{
pp->alpha = 0.0;
pp->beta = 0.0;
pp->delta = 0.0;
}
pp->umove = frand(2.0*M_PI);
pp->vmove = frand(2.0*M_PI);
pp->dumove = 0.0;
pp->dvmove = 0.0;
pp->side = 1;
if (sin(walk_direction*M_PI/180.0) >= 0.0)
pp->dir = 1;
else
pp->dir = -1;
pp->dd = init_deform*0.001;
pp->defdir = -1;
pp->rho = frand(360.0);
pp->sigma = frand(360.0);
pp->tau = frand(360.0);
pp->offset3d[0] = 0.0;
pp->offset3d[1] = 0.0;
pp->offset3d[2] = -1.8;
gen_texture(mi);
setup_roman_boy_color_texture(mi,0.0,2.0*M_PI,0.0,2.0*M_PI,pp->g*NUMU,NUMV);
if (pp->marks)
glEnable(GL_TEXTURE_2D);
else
glDisable(GL_TEXTURE_2D);
glMatrixMode(GL_PROJECTION);
glLoadIdentity();
if (pp->projection == DISP_PERSPECTIVE || pp->view == VIEW_WALK)
{
if (pp->view == VIEW_WALK)
gluPerspective(60.0,1.0,0.01,10.0);
else
gluPerspective(60.0,1.0,0.1,10.0);
}
else
{
glOrtho(-1.0,1.0,-1.0,1.0,0.1,10.0);
}
glMatrixMode(GL_MODELVIEW);
glLoadIdentity();
# ifdef HAVE_JWZGLES /* #### glPolygonMode other than GL_FILL unimplemented */
if (pp->display_mode == DISP_WIREFRAME)
pp->display_mode = DISP_SURFACE;
# endif
if (pp->display_mode == DISP_SURFACE)
{
glEnable(GL_DEPTH_TEST);
glDepthFunc(GL_LESS);
glShadeModel(GL_SMOOTH);
glPolygonMode(GL_FRONT_AND_BACK,GL_FILL);
glLightModeli(GL_LIGHT_MODEL_TWO_SIDE,GL_TRUE);
glEnable(GL_LIGHTING);
glEnable(GL_LIGHT0);
glLightfv(GL_LIGHT0,GL_AMBIENT,light_ambient);
glLightfv(GL_LIGHT0,GL_DIFFUSE,light_diffuse);
glLightfv(GL_LIGHT0,GL_SPECULAR,light_specular);
glLightfv(GL_LIGHT0,GL_POSITION,light_position);
glMaterialfv(GL_FRONT_AND_BACK,GL_SPECULAR,mat_specular);
glMaterialf(GL_FRONT_AND_BACK,GL_SHININESS,50.0);
glDepthMask(GL_TRUE);
glDisable(GL_BLEND);
}
else if (pp->display_mode == DISP_TRANSPARENT)
{
glDisable(GL_DEPTH_TEST);
glShadeModel(GL_SMOOTH);
glPolygonMode(GL_FRONT_AND_BACK,GL_FILL);
glLightModeli(GL_LIGHT_MODEL_TWO_SIDE,GL_TRUE);
glEnable(GL_LIGHTING);
glEnable(GL_LIGHT0);
glLightfv(GL_LIGHT0,GL_AMBIENT,light_ambient);
glLightfv(GL_LIGHT0,GL_DIFFUSE,light_diffuse);
glLightfv(GL_LIGHT0,GL_SPECULAR,light_specular);
glLightfv(GL_LIGHT0,GL_POSITION,light_position);
glMaterialfv(GL_FRONT_AND_BACK,GL_SPECULAR,mat_specular);
glMaterialf(GL_FRONT_AND_BACK,GL_SHININESS,50.0);
glDepthMask(GL_FALSE);
glEnable(GL_BLEND);
glBlendFunc(GL_SRC_ALPHA,GL_ONE);
}
else /* pp->display_mode == DISP_WIREFRAME */
{
glDisable(GL_DEPTH_TEST);
glShadeModel(GL_FLAT);
glPolygonMode(GL_FRONT_AND_BACK,GL_LINE);
glDisable(GL_LIGHTING);
glDisable(GL_LIGHT0);
glDisable(GL_BLEND);
}
}
/* Redisplay the Klein bottle. */
static void display_romanboy(ModeInfo *mi)
{
romanboystruct *pp = &romanboy[MI_SCREEN(mi)];
if (!pp->button_pressed)
{
if (deform)
{
pp->dd += pp->defdir*deform_speed*0.001;
if (pp->dd < 0.0)
{
pp->dd = -pp->dd;
pp->defdir = -pp->defdir;
}
if (pp->dd > 1.0)
{
pp->dd = 2.0-pp->dd;
pp->defdir = -pp->defdir;
}
}
if (pp->view == VIEW_TURN)
{
pp->alpha += speed_x * pp->speed_scale;
if (pp->alpha >= 360.0)
pp->alpha -= 360.0;
pp->beta += speed_y * pp->speed_scale;
if (pp->beta >= 360.0)
pp->beta -= 360.0;
pp->delta += speed_z * pp->speed_scale;
if (pp->delta >= 360.0)
pp->delta -= 360.0;
}
if (pp->view == VIEW_WALK)
{
pp->dvmove = (pp->dir*sin(walk_direction*M_PI/180.0)*
walk_speed*M_PI/4096.0);
pp->vmove += pp->dvmove;
if (pp->vmove > 2.0*M_PI)
{
pp->vmove = 4.0*M_PI-pp->vmove;
pp->umove = pp->umove-M_PI;
if (pp->umove < 0.0)
pp->umove += 2.0*M_PI;
pp->side = -pp->side;
pp->dir = -pp->dir;
pp->dvmove = -pp->dvmove;
}
if (pp->vmove < 0.0)
{
pp->vmove = -pp->vmove;
pp->umove = pp->umove-M_PI;
if (pp->umove < 0.0)
pp->umove += 2.0*M_PI;
pp->dir = -pp->dir;
pp->dvmove = -pp->dvmove;
}
pp->dumove = cos(walk_direction*M_PI/180.0)*walk_speed*M_PI/4096.0;
pp->umove += pp->dumove;
if (pp->umove >= 2.0*M_PI)
pp->umove -= 2.0*M_PI;
if (pp->umove < 0.0)
pp->umove += 2.0*M_PI;
}
if (pp->change_colors)
{
pp->rho += DRHO;
if (pp->rho >= 360.0)
pp->rho -= 360.0;
pp->sigma += DSIGMA;
if (pp->sigma >= 360.0)
pp->sigma -= 360.0;
pp->tau += DTAU;
if (pp->tau >= 360.0)
pp->tau -= 360.0;
}
}
glMatrixMode(GL_PROJECTION);
glLoadIdentity();
if (pp->projection == DISP_PERSPECTIVE || pp->view == VIEW_WALK)
{
if (pp->view == VIEW_WALK)
gluPerspective(60.0,pp->aspect,0.01,10.0);
else
gluPerspective(60.0,pp->aspect,0.1,10.0);
}
else
{
if (pp->aspect >= 1.0)
glOrtho(-pp->aspect,pp->aspect,-1.0,1.0,0.1,10.0);
else
glOrtho(-1.0,1.0,-1.0/pp->aspect,1.0/pp->aspect,0.1,10.0);
}
glMatrixMode(GL_MODELVIEW);
glLoadIdentity();
mi->polygon_count = roman_boy(mi,0.0,2.0*M_PI,0.0,2.0*M_PI,pp->g*NUMU,NUMV);
}
ENTRYPOINT void reshape_romanboy(ModeInfo *mi, int width, int height)
{
romanboystruct *pp = &romanboy[MI_SCREEN(mi)];
pp->WindW = (GLint)width;
pp->WindH = (GLint)height;
glViewport(0,0,width,height);
pp->aspect = (GLfloat)width/(GLfloat)height;
}
ENTRYPOINT Bool romanboy_handle_event(ModeInfo *mi, XEvent *event)
{
romanboystruct *pp = &romanboy[MI_SCREEN(mi)];
if (event->xany.type == ButtonPress && event->xbutton.button == Button1)
{
pp->button_pressed = True;
gltrackball_start(pp->trackball, event->xbutton.x, event->xbutton.y,
MI_WIDTH(mi), MI_HEIGHT(mi));
return True;
}
else if (event->xany.type == ButtonRelease &&
event->xbutton.button == Button1)
{
pp->button_pressed = False;
return True;
}
else if (event->xany.type == MotionNotify && pp->button_pressed)
{
gltrackball_track(pp->trackball, event->xmotion.x, event->xmotion.y,
MI_WIDTH(mi), MI_HEIGHT(mi));
return True;
}
return False;
}
/*
*-----------------------------------------------------------------------------
*-----------------------------------------------------------------------------
* Xlock hooks.
*-----------------------------------------------------------------------------
*-----------------------------------------------------------------------------
*/
/*
*-----------------------------------------------------------------------------
* Initialize romanboy. Called each time the window changes.
*-----------------------------------------------------------------------------
*/
ENTRYPOINT void init_romanboy(ModeInfo *mi)
{
romanboystruct *pp;
MI_INIT (mi, romanboy);
pp = &romanboy[MI_SCREEN(mi)];
if (surface_order < 2)
pp->g = 2;
else if (surface_order > 9)
pp->g = 9;
else
pp->g = surface_order;
pp->pp = calloc(3*pp->g*(NUMU+1)*(NUMV+1),sizeof(float));
pp->pn = calloc(3*pp->g*(NUMU+1)*(NUMV+1),sizeof(float));
pp->col = calloc(4*pp->g*(NUMU+1)*(NUMV+1),sizeof(float));
pp->tex = calloc(2*pp->g*(NUMU+1)*(NUMV+1),sizeof(float));
pp->trackball = gltrackball_init(True);
pp->button_pressed = False;
/* Set the display mode. */
if (!strcasecmp(mode,"random"))
{
pp->display_mode = random() % NUM_DISPLAY_MODES;
}
else if (!strcasecmp(mode,"wireframe"))
{
pp->display_mode = DISP_WIREFRAME;
}
else if (!strcasecmp(mode,"surface"))
{
pp->display_mode = DISP_SURFACE;
}
else if (!strcasecmp(mode,"transparent"))
{
pp->display_mode = DISP_TRANSPARENT;
}
else
{
pp->display_mode = random() % NUM_DISPLAY_MODES;
}
pp->marks = marks;
/* Orientation marks don't make sense in wireframe mode. */
if (pp->display_mode == DISP_WIREFRAME)
pp->marks = False;
/* Set the appearance. */
if (!strcasecmp(appear,"random"))
{
pp->appearance = random() % NUM_APPEARANCES;
}
else if (!strcasecmp(appear,"solid"))
{
pp->appearance = APPEARANCE_SOLID;
}
else if (!strcasecmp(appear,"distance-bands"))
{
pp->appearance = APPEARANCE_DISTANCE_BANDS;
}
else if (!strcasecmp(appear,"direction-bands"))
{
pp->appearance = APPEARANCE_DIRECTION_BANDS;
}
else
{
pp->appearance = random() % NUM_APPEARANCES;
}
/* Set the color mode. */
if (!strcasecmp(color_mode,"random"))
{
pp->colors = random() % NUM_COLORS;
}
else if (!strcasecmp(color_mode,"one-sided"))
{
pp->colors = COLORS_ONESIDED;
}
else if (!strcasecmp(color_mode,"two-sided"))
{
pp->colors = COLORS_TWOSIDED;
}
else if (!strcasecmp(color_mode,"distance"))
{
pp->colors = COLORS_DISTANCE;
}
else if (!strcasecmp(color_mode,"direction"))
{
pp->colors = COLORS_DIRECTION;
}
else
{
pp->colors = random() % NUM_COLORS;
}
pp->change_colors = change_colors;
/* Set the view mode. */
if (!strcasecmp(view_mode,"random"))
{
pp->view = random() % NUM_VIEW_MODES;
}
else if (!strcasecmp(view_mode,"walk"))
{
pp->view = VIEW_WALK;
}
else if (!strcasecmp(view_mode,"turn"))
{
pp->view = VIEW_TURN;
}
else
{
pp->view = random() % NUM_VIEW_MODES;
}
/* Set the 3d projection mode. */
if (!strcasecmp(proj,"random"))
{
/* Orthographic projection only makes sense in turn mode. */
if (pp->view == VIEW_TURN)
pp->projection = random() % NUM_DISP_MODES;
else
pp->projection = DISP_PERSPECTIVE;
}
else if (!strcasecmp(proj,"perspective"))
{
pp->projection = DISP_PERSPECTIVE;
}
else if (!strcasecmp(proj,"orthographic"))
{
pp->projection = DISP_ORTHOGRAPHIC;
}
else
{
/* Orthographic projection only makes sense in turn mode. */
if (pp->view == VIEW_TURN)
pp->projection = random() % NUM_DISP_MODES;
else
pp->projection = DISP_PERSPECTIVE;
}
/* make multiple screens rotate at slightly different rates. */
pp->speed_scale = 0.9 + frand(0.3);
if ((pp->glx_context = init_GL(mi)) != NULL)
{
reshape_romanboy(mi,MI_WIDTH(mi),MI_HEIGHT(mi));
glDrawBuffer(GL_BACK);
init(mi);
}
else
{
MI_CLEARWINDOW(mi);
}
}
/*
*-----------------------------------------------------------------------------
* Called by the mainline code periodically to update the display.
*-----------------------------------------------------------------------------
*/
ENTRYPOINT void draw_romanboy(ModeInfo *mi)
{
Display *display = MI_DISPLAY(mi);
Window window = MI_WINDOW(mi);
romanboystruct *pp;
if (romanboy == NULL)
return;
pp = &romanboy[MI_SCREEN(mi)];
MI_IS_DRAWN(mi) = True;
if (!pp->glx_context)
return;
glXMakeCurrent(display, window, *pp->glx_context);
glClear(GL_COLOR_BUFFER_BIT|GL_DEPTH_BUFFER_BIT);
glLoadIdentity();
display_romanboy(mi);
if (MI_IS_FPS(mi))
do_fps (mi);
glFlush();
glXSwapBuffers(display,window);
}
/*
*-----------------------------------------------------------------------------
* The display is being taken away from us. Free up malloc'ed
* memory and X resources that we've alloc'ed.
*-----------------------------------------------------------------------------
*/
ENTRYPOINT void free_romanboy(ModeInfo *mi)
{
romanboystruct *pp = &romanboy[MI_SCREEN(mi)];
if (!pp->glx_context) return;
glXMakeCurrent (MI_DISPLAY(mi), MI_WINDOW(mi), *pp->glx_context);
if (pp->pp) free(pp->pp);
if (pp->pn) free(pp->pn);
if (pp->col) free(pp->col);
if (pp->tex) free(pp->tex);
gltrackball_free (pp->trackball);
if (pp->tex_name) glDeleteTextures (1, &pp->tex_name);
}
#ifndef STANDALONE
ENTRYPOINT void change_romanboy(ModeInfo *mi)
{
romanboystruct *pp = &romanboy[MI_SCREEN(mi)];
if (!pp->glx_context)
return;
glXMakeCurrent(MI_DISPLAY(mi), MI_WINDOW(mi), *pp->glx_context);
init(mi);
}
#endif /* !STANDALONE */
XSCREENSAVER_MODULE ("RomanBoy", romanboy)
#endif /* USE_GL */
