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added area_auto and wvolarea_auto functions

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Zeno Rogue 2020-03-31 20:06:37 +02:00
parent af10592616
commit 0a6aae0776
1 changed files with 17 additions and 0 deletions
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17
hyperpoint.cpp
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@ -234,6 +234,7 @@ EX ld acos_auto(ld x) {
} }
} }
/** \brief volume of a three-dimensional ball of radius r in the current isotropic geometry */
EX ld volume_auto(ld r) { EX ld volume_auto(ld r) {
switch(cgclass) { switch(cgclass) {
case gcEuclid: return 4 * r * r * r / 3 * M_PI; case gcEuclid: return 4 * r * r * r / 3 * M_PI;
@ -243,6 +244,22 @@ EX ld volume_auto(ld r) {
} }
} }
/** \brief area of a circle of radius r in the current isotropic geometry */
EX ld area_auto(ld r) {
switch(cgclass) {
case gcEuclid: return r * r * M_PI;
case gcHyperbolic: return 2 * M_PI * (cosh(r) - 1);
case gcSphere: return 2 * M_PI * (1 - cos(r));
default: return 0;
}
}
/** \brief volume in 3D, area in 2D */
EX ld wvolarea_auto(ld r) {
if(WDIM == 3) return volume_auto(r);
else return area_auto(r);
}
EX ld asin_clamp(ld x) { return x>1 ? M_PI/2 : x<-1 ? -M_PI/2 : std::isnan(x) ? 0 : asin(x); } EX ld asin_clamp(ld x) { return x>1 ? M_PI/2 : x<-1 ? -M_PI/2 : std::isnan(x) ? 0 : asin(x); }
EX ld asin_auto_clamp(ld x) { EX ld asin_auto_clamp(ld x) {