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hyperbolic spiral model

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This commit is contained in:
Zeno Rogue 2018-11-09 14:15:00 +01:00
parent c1af8f9d3a
commit 8f3f0baabe
2 changed files with 28 additions and 2 deletions
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17
conformal.cpp
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@ -393,6 +393,8 @@ namespace conformal {
movetophase();
}
ld spiral_angle, cos_spiral, sin_spiral;
void configure() {
ld ball = -vid.ballangle * degree;
cos_ball = cos(ball), sin_ball = sin(ball);
@ -401,6 +403,9 @@ namespace conformal {
model_straight = (ocos > 1 - 1e-9);
if(conformal::on) conformal::apply();
ld b = spiral_angle * degree;
cos_spiral = cos(b), sin_spiral = sin(b);
band_shift = 0;
}
@ -566,7 +571,7 @@ namespace conformal {
bool model_has_orientation() {
return
among(pmodel, mdHalfplane, mdPolynomial, mdPolygonal, mdTwoPoint, mdJoukowsky, mdJoukowskyInverted) || mdBandAny();
among(pmodel, mdHalfplane, mdPolynomial, mdPolygonal, mdTwoPoint, mdJoukowsky, mdJoukowskyInverted, mdSpiral) || mdBandAny();
}
bool model_has_transition() {
@ -686,7 +691,7 @@ namespace conformal {
if(model_has_transition())
dialog::addSelItem(XLAT("model transition"), fts3(model_transition), 't');
if(among(pmodel, mdJoukowsky, mdJoukowskyInverted))
if(among(pmodel, mdJoukowsky, mdJoukowskyInverted, mdSpiral))
dialog::addSelItem(XLAT("Möbius transformations"), fts3(vid.skiprope), 'S');
if(pmodel == mdHemisphere && euclid) {
@ -1001,6 +1006,14 @@ namespace conformal {
PHASEFROM(2);
shift(); conformal::model_transition = argf();
}
else if(argis("-sang")) {
PHASEFROM(2);
shift(); conformal::spiral_angle = argf();
}
else if(argis("-mob")) {
PHASEFROM(2);
shift(); vid.skiprope = argf();
}
else if(argis("-zoom")) {
PHASEFROM(2); shift(); vid.scale = argf();
}

13
hypgraph.cpp
View File

@ -556,6 +556,19 @@ void applymodel(hyperpoint H, hyperpoint& ret) {
break;
}
case mdSpiral: {
makeband(H, ret, band_conformal);
cld z(ret[0], ret[1]);
z = z * cld(conformal::cos_spiral, conformal::sin_spiral) * M_PI * conformal::cos_spiral;
z = exp(z);
ret[0] = real(z);
ret[1] = imag(z);
if(vid.skiprope)
ret = mobius(ret, vid.skiprope, 1);
}
case mdGUARD: break;
}