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constexpr on hyperpoints

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Zeno Rogue 2019-08-24 12:58:44 +02:00
parent 136b931609
commit ab80b28782
1 changed files with 23 additions and 22 deletions
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45
hyperpoint.cpp
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@ -46,9 +46,13 @@ eVariation variation;
struct hyperpoint : array<ld, MAXMDIM> {
hyperpoint() {}
hyperpoint(ld x, ld y, ld z, ld w) {
self[0] = x; self[1] = y; self[2] = z;
if(MAXMDIM == 4) self[3] = w;
#if MAXMDIM == 4
constexpr hyperpoint(ld x, ld y, ld z, ld w) : array<ld, MAXMDIM> {{x, y, z, w}} {
#else
constexpr hyperpoint(ld x, ld y, ld z, ld w) : array<ld, MAXMDIM> {{x, y, z}} {
#endif
// self[0] = x; self[1] = y; self[2] = z;
// if(MAXMDIM == 4) self[3] = w;
}
inline hyperpoint& operator *= (ld d) {
@ -135,39 +139,40 @@ constexpr transmatrix diag(ld a, ld b, ld c, ld d) {
#endif
}
const static hyperpoint Hypc = hyperpoint(0, 0, 0, 0);
constexpr hyperpoint Hypc = hyperpoint(0, 0, 0, 0);
/** identity matrix */
const static transmatrix Id = diag(1,1,1,1);
constexpr transmatrix Id = diag(1,1,1,1);
/** zero matrix */
const static transmatrix Zero = diag(0,0,0,0);
constexpr transmatrix Zero = diag(0,0,0,0);
/** mirror image */
const static transmatrix Mirror = diag(1,-1,1,1);
constexpr transmatrix Mirror = diag(1,-1,1,1);
/** mirror image: flip in the Y coordinate */
const static transmatrix MirrorY = diag(1,-1,1,1);
constexpr transmatrix MirrorY = diag(1,-1,1,1);
/** mirror image: flip in the X coordinate */
const static transmatrix MirrorX = diag(-1,1,1,1);
constexpr transmatrix MirrorX = diag(-1,1,1,1);
/** mirror image: flip in the Z coordinate */
const static transmatrix MirrorZ = diag(1,1,-1,1);
constexpr transmatrix MirrorZ = diag(1,1,-1,1);
/** rotate by PI in the XY plane */
const static transmatrix pispin = diag(-1,-1,1,1);
constexpr transmatrix pispin = diag(-1,-1,1,1);
/** central symmetry matrix */
const static transmatrix centralsym = diag(-1,-1,-1,-1);
constexpr transmatrix centralsym = diag(-1,-1,-1,-1);
inline hyperpoint hpxyz(ld x, ld y, ld z) { return MDIM == 3 ? hyperpoint(x,y,z,0) : hyperpoint(x,y,0,z); }
inline hyperpoint hpxyz3(ld x, ld y, ld z, ld w) { return MDIM == 3 ? hyperpoint(x,y,w,0) : hyperpoint(x,y,z,w); }
inline hyperpoint point3(ld x, ld y, ld z) { return hyperpoint(x,y,z,0); }
inline hyperpoint point31(ld x, ld y, ld z) { return hyperpoint(x,y,z,1); }
inline hyperpoint point2(ld x, ld y) { return hyperpoint(x,y,0,0); }
constexpr hyperpoint point3(ld x, ld y, ld z) { return hyperpoint(x,y,z,0); }
constexpr hyperpoint point31(ld x, ld y, ld z) { return hyperpoint(x,y,z,1); }
constexpr hyperpoint point2(ld x, ld y) { return hyperpoint(x,y,0,0); }
extern const hyperpoint C02, C03;
constexpr hyperpoint C02 = hyperpoint(0,0,1,0);
constexpr hyperpoint C03 = hyperpoint(0,0,0,1);
/** C0 is the origin in our space */
#define C0 (MDIM == 3 ? C02 : C03)
@ -305,13 +310,9 @@ hyperpoint hpxy3(ld x, ld y, ld z) {
return hpxyz3(x,y,z, translatable ? 1 : sphere ? sqrt(1-x*x-y*y-z*z) : sqrt(1+x*x+y*y+z*z));
}
// origin of the hyperbolic plane
const hyperpoint C02 = hyperpoint(0,0,1,0);
const hyperpoint C03 = hyperpoint(0,0,0,1);
// a point (I hope this number needs no comments ;) )
const hyperpoint Cx12 = hyperpoint(1,0,1.41421356237,0);
const hyperpoint Cx13 = hyperpoint(1,0,0,1.41421356237);
constexpr hyperpoint Cx12 = hyperpoint(1,0,1.41421356237,0);
constexpr hyperpoint Cx13 = hyperpoint(1,0,0,1.41421356237);
#define Cx1 (GDIM==2?Cx12:Cx13)