46 #define VuoPoint3d_SUPPORTS_COMPARISON
69 return (VuoPoint3d){x, y, z};
78 return (
VuoBox){ center, size };
88 (VuoPoint3d){ (xmin+xmax)/2.f, (ymin+ymax)/2.f, (zmin+zmax)/2.f },
89 (VuoPoint3d){ xmax-xmin, ymax-ymin, zmax-zmin }
112 return u.x*v.x+u.y*v.y+u.z*v.z;
121 return sqrtf(a.x*a.x + a.y*a.y + a.z*a.z);
130 return a / sqrtf(a.x * a.x + a.y * a.y + a.z * a.z);
158 return (a.x*a.x + a.y*a.y + a.z*a.z);
185 if (fabs(a.x) < 0.000001)
186 a.x = copysign(0.000001, a.x);
187 if (fabs(a.y) < 0.000001)
188 a.y = copysign(0.000001, a.y);
189 if (fabs(a.z) < 0.000001)
190 a.z = copysign(0.000001, a.z);
200 return sqrtf((a.x-b.x)*(a.x-b.x) + (a.y-b.y)*(a.y-b.y) + (a.z-b.z)*(a.z-b.z));
209 return a * (1 - t) + b * t;
233 a.x - b.x * floorf(a.x / b.x),
234 a.y - b.y * floorf(a.y / b.y),
235 a.z - b.z * floorf(a.z / b.z)
245 p.x =
VuoReal_spring(timeSinceDrop, dropPosition.x, restingPosition.x, period, damping);
246 p.y =
VuoReal_spring(timeSinceDrop, dropPosition.y, restingPosition.y, period, damping);
247 p.z =
VuoReal_spring(timeSinceDrop, dropPosition.z, restingPosition.z, period, damping);
266 static inline VuoPoint3d
VuoPoint3d_clampn(VuoPoint3d point, VuoPoint3d limitA, VuoPoint3d limitB)
286 return (VuoPoint3d) {
296 static inline VuoPoint3d
VuoPoint3d_snap(VuoPoint3d a, VuoPoint3d center, VuoPoint3d snap)
299 return (VuoPoint3d) {
300 center.x + nonzeroSnap.x * (int)round( (a.x-center.x) / nonzeroSnap.x ),
301 center.y + nonzeroSnap.y * (
int)round( (a.y-center.y) / nonzeroSnap.y ),
302 center.z + nonzeroSnap.z * (int)round( (a.z-center.z) / nonzeroSnap.z )
311 float xmin, ymin, zmin, xmax, ymax, zmax;
316 xmin = fmin(a.center.x - extents_a.x, b.center.x - extents_b.x);
317 xmax = fmax(a.center.x + extents_a.x, b.center.x + extents_b.x);
319 ymin = fmin(a.center.y - extents_a.y, b.center.y - extents_b.y);
320 ymax = fmax(a.center.y + extents_a.y, b.center.y + extents_b.y);
322 zmin = fmin(a.center.z - extents_a.z, b.center.z - extents_b.z);
323 zmax = fmax(a.center.z + extents_a.z, b.center.z + extents_b.z);
333 VuoPoint3d exents = (VuoPoint3d){aabb.size.x / 2.f, aabb.size.y / 2.f};
334 VuoPoint3d min = aabb.center - exents;
335 VuoPoint3d max = aabb.center + exents;
337 return point.x > min.x && point.x < max.x &&
338 point.y > min.y && point.y < max.y &&
339 point.z > min.z && point.z < max.z;
350 return fabs(dist.x) * 2 < size.x &&
351 fabs(dist.y) * 2 < size.y &&
352 fabs(dist.z) * 2 < size.z;