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Joukowsky transform, and better inverted Poincare

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This commit is contained in:
Zeno Rogue 2018-10-25 02:44:35 +02:00
parent b44063f500
commit cbb53cfe68
5 changed files with 84 additions and 57 deletions
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2
basegraph.cpp
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@ -195,7 +195,7 @@ void eyewidth_translate(int ed) {
void stereo::set_projection(int ed) {
DEBB(DF_GRAPH, (debugfile,"stereo::set_projection\n"));
start_projection(ed, pmodel == mdDisk && !spherespecial);
start_projection(ed, pmodel == mdDisk && !spherespecial && !(hyperbolic && vid.alpha <= -1));
if(!using_perspective) {
glhr::projection_multiply(glhr::ortho(vid.xres/2, -vid.yres/2, abs(stereo::scrdist) + 30000));

2
conformal.cpp
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@ -578,7 +578,7 @@ namespace conformal {
"azimuthal equidistant", "azimuthal equi-area",
"ball model", "Minkowski hyperboloid", "hemisphere",
"band equidistant", "band equi-area", "sinusoidal", "two-point equidistant",
"fisheye"
"fisheye", "Joukovsky", "Joukovsky/inversion"
};
string get_model_name(eModel pm) {

2
hyper.h
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@ -1264,7 +1264,7 @@ enum eModel {
mdDisk, mdHalfplane, mdBand, mdPolygonal, mdPolynomial,
mdEquidistant, mdEquiarea, mdBall, mdHyperboloid,
mdHemisphere, mdBandEquidistant, mdBandEquiarea, mdSinusoidal, mdTwoPoint,
mdFisheye,
mdFisheye, mdJoukowsky, mdJoukowskyInverted,
mdGUARD, mdUnchanged, mdHyperboloidFlat };
namespace conformal {

19
hypgraph.cpp
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@ -406,6 +406,25 @@ void applymodel(hyperpoint H, hyperpoint& ret) {
return;
}
if(among(pmodel, mdJoukowsky, mdJoukowskyInverted)) {
ld x0, y0;
x0 = H[0] / tz;
y0 = H[1] / tz;
ld r = hypot(x0, y0);
ld c = x0 / r;
ld s = y0 / r;
ret[0] = (r + 1/r) * c / 2;
ret[1] = (r - 1/r) * s / 2;
ret[2] = 0;
if(pmodel == mdJoukowskyInverted) {
ld r2 = sqhypot2(ret);
ret[0] = ret[0] / r2;
ret[1] = -ret[1] / r2;
}
ghcheck(ret,H);
return;
}
if(pmodel == mdHalfplane) {
// Poincare to half-plane

116
polygons.cpp
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@ -722,6 +722,60 @@ ld glhypot2(glvertex a, glvertex b) {
return (a[0]-b[0]) * (a[0]-b[0]) + (a[1]-b[1]) * (a[1]-b[1]) + (a[2]-b[2]) * (a[2]-b[2]);
}
void compute_side_by_centerin(dqi_poly *p, bool& nofill) {
hyperpoint hscr;
hyperpoint h1 = p->V * p->intester;
if(is_behind(h1)) {
if(sphere) {
for(int i=0; i<3; i++) h1[i] = -h1[i];
poly_flags &= ~POLY_CENTERIN;
}
else
nofill = true;
}
applymodel(h1, hscr); hscr[0] *= vid.radius; hscr[1] *= vid.radius * vid.stretch;
for(int i=0; i<isize(glcoords)-1; i++) {
double x1 = glcoords[i][0] - hscr[0];
double y1 = glcoords[i][1] - hscr[1];
double x2 = glcoords[i+1][0] - hscr[0];
double y2 = glcoords[i+1][1] - hscr[1];
if(asign(y1, y2)) {
ld x = xcross(x1, y1, x2, y2);
if(x < -1e-6) poly_flags ^= POLY_CENTERIN;
else if (x < 1e-6) nofill = true;
}
}
poly_flags &= ~POLY_INVERSE;
if(poly_flags & POLY_CENTERIN) {
poly_flags |= POLY_INVERSE;
/* nofill = true;
outline = (flags & POLY_CENTERIN) ? 0x00FF00FF : 0xFF0000FF;
addpoint(hscr); */
}
/*
if(poly_flags & POLY_BADCENTERIN) {
glcoords.push_back(make_array<GLfloat>(hscr[0]+10, hscr[1]*vid.stretch, hscr[2]));
glcoords.push_back(make_array<GLfloat>(hscr[0], hscr[1]*vid.stretch+10, hscr[2]));
glcoords.push_back(make_array<GLfloat>(hscr[0]-10, hscr[1]*vid.stretch, hscr[2]));
glcoords.push_back(make_array<GLfloat>(hscr[0], hscr[1]*vid.stretch-10, hscr[2]));
glcoords.push_back(make_array<GLfloat>(hscr[0]+10, hscr[1]*vid.stretch, hscr[2]));
} */
}
void compute_side_by_area() {
double rarea = 0;
for(int i=0; i<isize(glcoords)-1; i++)
rarea += glcoords[i][0] * glcoords[i+1][1] - glcoords[i][1] * glcoords[i+1][0];
rarea += glcoords.back()[0] * glcoords[0][1] - glcoords.back()[1] * glcoords[0][0];
if(rarea>0)
poly_flags ^= POLY_INVERSE;
}
void dqi_poly::draw() {
if(!hyperbolic && among(pmodel, mdPolygonal, mdPolynomial)) {
@ -899,67 +953,21 @@ void dqi_poly::draw() {
if(around_center) return;
}
if(sphere && (spherespecial > 0 || equi) && !(poly_flags & POLY_ISSIDE)) {
if(((sphere && (spherespecial > 0 || equi)) || (pmodel == mdJoukowsky && hyperbolic) || (pmodel == mdDisk && hyperbolic && vid.alpha <= -1)) && !(poly_flags & POLY_ISSIDE)) {
if(!tinf) {
hyperpoint hscr;
hyperpoint h1 = V * intester;
if(is_behind(h1)) {
if(sphere) {
for(int i=0; i<3; i++) h1[i] = -h1[i];
poly_flags &= ~POLY_CENTERIN;
}
else
nofill = true;
}
applymodel(h1, hscr); hscr[0] *= vid.radius; hscr[1] *= vid.radius * vid.stretch;
for(int i=0; i<isize(glcoords)-1; i++) {
double x1 = glcoords[i][0] - hscr[0];
double y1 = glcoords[i][1] - hscr[1];
double x2 = glcoords[i+1][0] - hscr[0];
double y2 = glcoords[i+1][1] - hscr[1];
if(asign(y1, y2)) {
ld x = xcross(x1, y1, x2, y2);
if(x < -1e-6) poly_flags ^= POLY_CENTERIN;
else if (x < 1e-6) nofill = true;
}
}
poly_flags &= ~POLY_INVERSE;
if(poly_flags & POLY_CENTERIN) {
poly_flags |= POLY_INVERSE;
/* nofill = true;
outline = (flags & POLY_CENTERIN) ? 0x00FF00FF : 0xFF0000FF;
addpoint(hscr); */
}
/*
if(poly_flags & POLY_BADCENTERIN) {
glcoords.push_back(make_array<GLfloat>(hscr[0]+10, hscr[1]*vid.stretch, hscr[2]));
glcoords.push_back(make_array<GLfloat>(hscr[0], hscr[1]*vid.stretch+10, hscr[2]));
glcoords.push_back(make_array<GLfloat>(hscr[0]-10, hscr[1]*vid.stretch, hscr[2]));
glcoords.push_back(make_array<GLfloat>(hscr[0], hscr[1]*vid.stretch-10, hscr[2]));
glcoords.push_back(make_array<GLfloat>(hscr[0]+10, hscr[1]*vid.stretch, hscr[2]));
} */
}
if(!tinf)
compute_side_by_centerin(this, nofill);
else {
double rarea = 0;
for(int i=0; i<isize(glcoords)-1; i++)
rarea += glcoords[i][0] * glcoords[i+1][1] - glcoords[i][1] * glcoords[i+1][0];
rarea += glcoords.back()[0] * glcoords[0][1] - glcoords.back()[1] * glcoords[0][0];
if(d < 0) poly_flags ^= POLY_INVERSE;
if(rarea>0)
poly_flags ^= POLY_INVERSE;
if(d < 0) poly_flags ^= POLY_INVERSE;
compute_side_by_area();
}
if(poly_flags & POLY_INVERSE) {
if(curradius < vid.alpha - 1e-6) return;
if(!sphere) return;
}
}
else poly_flags &=~ POLY_INVERSE;