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used cyclefix and raddif in more places; (c)spin90, (c)spin180 and spin180 functions; rephrased M_PI in terms of TAU and x._deg when applicable

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Zeno Rogue
2022-11-12 22:38:45 +01:00
parent 563b9c1f74
commit 06523e063e
100 changed files with 750 additions and 757 deletions
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10
rogueviz/extra-projections.cpp
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@@ -100,8 +100,8 @@ void add_extra_projections() {
ld sy = y > 0 ? 1 : -1;
y /= sy;
ld z = 4. - 3. * (hyperbolic ? -sinh(y) : sin(y));
x = 2. * x * sqrt(z / 6. / M_PI);
y = sy * sqrt(2*M_PI/3) * (2. - sqrt(z));
x = 2. * x * sqrt(z / 1080._deg);
y = sy * sqrt(120._deg) * (2. - sqrt(z));
});
// https://en.wikipedia.org/wiki/Eckert_IV_projection
@@ -109,7 +109,7 @@ void add_extra_projections() {
cld theta = newton_inverse(
[] (cld th) { return th + sin(th) * cos(th) + 2. * sin(th); },
[] (cld th) { return 1. + cos(th) * cos(th) - sin(th) * sin(th) + 2. * cos(th); },
(2+M_PI/2) * sin(y), y);
(2+90._deg) * sin(y), y);
static ld cox = 2 / sqrt(4*M_PI+M_PI*M_PI);
static ld coy = 2 * sqrt(M_PI/(4+M_PI));
x = cox * x * (1. + cos(theta));
@@ -120,12 +120,12 @@ void add_extra_projections() {
add_complex("Ortelius", 0, [] (cld& x, cld& y) {
cld sx = (real(x)+imag(x)) > 0 ? 1 : -1;
x /= sx;
if(abs(real(x)) < 90*degree) {
if(abs(real(x)) < 90._deg) {
cld F = M_PI*M_PI / 8. / x + x / 2.;
x = (x - F + sqrt(F*F-y*y));
}
else {
x = sqrt(M_PI*M_PI/4 - y*y) + x - M_PI/2;
x = sqrt(M_PI*M_PI/4 - y*y) + x - 90._deg;
}
x *= sx;
});