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OpenLB 1.7
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Functions | |
template<typename T > | |
T | mix (T a, T b, T h) any_platform |
template<typename T0 , typename T1 , typename T2 > | |
decltype(T0 {} *T1 {} *T2 {}) | clamp (T0 x, T1 a, T2 b) any_platform |
template<typename T > | |
Vector< bool, 3 > | isSymmetric (std::function< T(const Vector< T, 3 > &)> sdf, Vector< T, 3 > center) any_platform |
A rough test for symmetry. | |
template<typename T , unsigned D> | |
T | sphere (Vector< T, D > p, T r) any_platform |
Exact signed distance to the surface of circle (in 2D) or sphere (in 3D). | |
template<typename T > | |
T | box (Vector< T, 2 > p, Vector< T, 2 > b) any_platform |
Exact signed distance to the surface of two-dimensional cuboid. | |
template<typename T > | |
T | box (Vector< T, 3 > p, Vector< T, 3 > b) any_platform |
Exact signed distance to the surface of three-dimensional cuboid. | |
template<typename T > | |
T | triangle (Vector< T, 2 > p, Vector< T, 2 > a, Vector< T, 2 > b, Vector< T, 2 > c) any_platform |
Exact signed distance to the surface of two-dimensional triangle. | |
template<typename T > | |
T | cylinder (Vector< T, 3 > p, Vector< T, 3 > a, Vector< T, 3 > ba, T baba, T r) any_platform |
Exact signed distance to the surface of three-dimensional cylinder. | |
template<typename T > | |
T | cylinder (Vector< T, 3 > p, Vector< T, 3 > a, Vector< T, 3 > b, T r) any_platform |
Calculate signed distance to the surface of three-dimensional cylinder defined by the centers of the two extremities and the radius. | |
template<typename T > | |
T | cone (Vector< T, 3 > p, Vector< T, 3 > a, Vector< T, 3 > ba, T baba, T ra, T rb) any_platform |
Exact signed distance to the surface of three-dimensional (capped) cone. | |
template<typename T > | |
T | cone (Vector< T, 3 > p, Vector< T, 3 > a, Vector< T, 3 > b, T ra, T rb) any_platform |
Calculate signed distance to the surface of three-dimensional capped cone defined by the centers of the two extremities and the corresponding radius. | |
template<typename T > | |
T | ellipsoid (Vector< T, 3 > p, Vector< T, 3 > r) any_platform |
Calculate the NOT EXACT (!) signed distance to the surface of three-dimensional ellipsoid. | |
template<typename T > | |
T | torus (Vector< T, 3 > p, Vector< T, 2 > t) any_platform |
Exact signed distance to the surface of a torus placed in the XZ-plane of the coordinate system. | |
template<typename T > | |
T | solidAngle (Vector< T, 3 > p, Vector< T, 2 > c, T r) any_platform |
Exact signed distance to the surface of a solid angle which represents a combination of a cone (axis y=0 to y=r) and a sphere. | |
template<typename T , unsigned D> | |
Vector< T, D > | translate (Vector< T, D > p, Vector< T, D > origin) any_platform |
Translation: The output of this function is used for the calculation of the signed distance to translated/shifted objects. | |
template<typename T > | |
Vector< T, 3 > | flip (Vector< T, 3 > p) any_platform |
template<typename T > | |
T | subtraction (T a, T b) any_platform |
Volume of a is subtracted from b. | |
template<typename T > | |
T | unify (T a, T b) any_platform |
Volume of a and volume of b are combined as a new object. | |
template<typename T > | |
T | intersection (T a, T b) any_platform |
Volume which is shared by a and b creates a new object. | |
template<typename T > | |
T | smooth_union (T a, T b, T k) any_platform |
template<typename T > | |
T | smooth_subtraction (T a, T b, T k) any_platform |
template<typename T > | |
T | smooth_intersection (T a, T b, T k) any_platform |
template<typename T > | |
T | rounding (T a, T r) any_platform |
Computes a layer of a constant thickness around the surface. | |
template<typename T , bool symmetryCheck = true> | |
T | elongation (std::function< T(const Vector< T, 3 > &)> sdf, const Vector< T, 3 > &p, const Vector< T, 3 > &h, const Vector< T, 3 > ¢er=(T(0))) any_platform |
Elongation splits the object in 2 (4 or 8) parts, moves them apart and connects them again The object has to be placed in the origin of the coodinate system. | |
template<typename T , unsigned D> | |
T | scale (std::function< T(const Vector< T, D > &)> sdf, const Vector< T, D > &p, T s, const Vector< T, D > ¢er=(T(0))) any_platform |
Function to scale a geometry The object has to be placed in the origin of the coodinate system. | |
template<typename T > | |
T | signedDistanceToPorosity (T signedDist, T eps) any_platform |
Converts signed distance to values for the smooth epsilon boundary. | |
template<typename T > | |
bool | evalSolidVolumeFraction (T output[], T signedDist, T eps) any_platform |
Exact signed distance to the surface of two-dimensional cuboid.
p | point for which the distance to the surface is calculated |
b | vector containing half side lengths to describe the cuboid |
Definition at line 115 of file sdf.h.
References olb::abs(), olb::util::max(), olb::maxv(), olb::util::min(), and olb::norm().
Exact signed distance to the surface of three-dimensional cuboid.
p | point for which the distance to the surface is calculated |
b | vector containing half side lengths to describe the cuboid |
Definition at line 128 of file sdf.h.
References olb::abs(), olb::util::max(), olb::maxv(), olb::util::min(), and olb::norm().
decltype(T0 {} *T1 {} *T2 {}) olb::sdf::clamp | ( | T0 | x, |
T1 | a, | ||
T2 | b ) |
Definition at line 50 of file sdf.h.
T olb::sdf::cone | ( | Vector< T, 3 > | p, |
Vector< T, 3 > | a, | ||
Vector< T, 3 > | b, | ||
T | ra, | ||
T | rb ) |
Calculate signed distance to the surface of three-dimensional capped cone defined by the centers of the two extremities and the corresponding radius.
For the calculation of a cone, the second radius is set to zero
p | point for which the distance to the surface is calculated |
a | vector containing center of the first circular end of the capped cone |
b | vector containing center of the second circular end of the capped cone or the apex of the cone |
ra | radius of the first circular end of the capped cone |
rb | radius of the second circular end of the capped cone |
Definition at line 241 of file sdf.h.
References cone().
T olb::sdf::cone | ( | Vector< T, 3 > | p, |
Vector< T, 3 > | a, | ||
Vector< T, 3 > | ba, | ||
T | baba, | ||
T | ra, | ||
T | rb ) |
Exact signed distance to the surface of three-dimensional (capped) cone.
p | point for which the distance to the surface is calculated |
a | vector containing center of the first circular end of the (capped) cone |
ba | vector representing the axis of the (capped) cone |
baba | length of the cone height squared |
Definition at line 210 of file sdf.h.
References olb::util::abs(), clamp(), olb::util::max(), olb::util::min(), and olb::util::sqrt().
T olb::sdf::cylinder | ( | Vector< T, 3 > | p, |
Vector< T, 3 > | a, | ||
Vector< T, 3 > | b, | ||
T | r ) |
Calculate signed distance to the surface of three-dimensional cylinder defined by the centers of the two extremities and the radius.
p | point for which the distance to the surface is calculated |
a | vector containing center of the first circular end of the cylinder |
b | vector containing center of the second circular end of the cylinder |
r | radius of the cylinder |
Definition at line 195 of file sdf.h.
References cylinder().
T olb::sdf::cylinder | ( | Vector< T, 3 > | p, |
Vector< T, 3 > | a, | ||
Vector< T, 3 > | ba, | ||
T | baba, | ||
T | r ) |
Exact signed distance to the surface of three-dimensional cylinder.
p | point for which the distance to the surface is calculated |
a | vector containing center of the first circular end of the cylinder |
ba | vector representing the axis of the cylinder |
baba | length of the cylinder height squared |
Definition at line 172 of file sdf.h.
References olb::util::abs(), olb::util::max(), olb::util::min(), olb::norm(), olb::util::sign(), and olb::util::sqrt().
Calculate the NOT EXACT (!) signed distance to the surface of three-dimensional ellipsoid.
p | point for which the distance to the surface is calculated |
r | vector containing half the length of the principal axes |
Definition at line 253 of file sdf.h.
References olb::util::min(), and olb::norm().
T olb::sdf::elongation | ( | std::function< T(const Vector< T, 3 > &)> | sdf, |
const Vector< T, 3 > & | p, | ||
const Vector< T, 3 > & | h, | ||
const Vector< T, 3 > & | center = (T(0)) ) |
Elongation splits the object in 2 (4 or 8) parts, moves them apart and connects them again The object has to be placed in the origin of the coodinate system.
Symmetry is required so that the splitted parts are symmetric (check can be disabled)
sdf | signed Distance Function of the object which is altered |
p | point for which the distance to the surface is calculated |
h | vector containing the information how far the splitted parts are moved apart |
center | vector containing the center, to shift the object to the origin of the coordinate system for the calculation of the elongation |
Definition at line 386 of file sdf.h.
References olb::abs(), isSymmetric(), olb::util::max(), and olb::util::min().
bool olb::sdf::evalSolidVolumeFraction | ( | T | output[], |
T | signedDist, | ||
T | eps ) |
Definition at line 453 of file sdf.h.
References signedDistanceToPorosity().
T olb::sdf::intersection | ( | T | a, |
T | b ) |
Volume which is shared by a and b creates a new object.
The returned distance is not exact if the signed Distance of both objects points to the part of the surface which is removed for creating the combined object
a | signed Distance of the first object |
b | signed Distance of the second object |
Definition at line 341 of file sdf.h.
References olb::util::max().
Vector< bool, 3 > olb::sdf::isSymmetric | ( | std::function< T(const Vector< T, 3 > &)> | sdf, |
Vector< T, 3 > | center ) |
A rough test for symmetry.
Definition at line 65 of file sdf.h.
References isSymmetric().
T olb::sdf::mix | ( | T | a, |
T | b, | ||
T | h ) |
T olb::sdf::rounding | ( | T | a, |
T | r ) |
T olb::sdf::scale | ( | std::function< T(const Vector< T, D > &)> | sdf, |
const Vector< T, D > & | p, | ||
T | s, | ||
const Vector< T, D > & | center = (T(0)) ) |
Function to scale a geometry The object has to be placed in the origin of the coodinate system.
sdf | signed Distance Function of the object which is altered |
p | point for which the distance to the surface is calculated |
s | scaling factor |
center | vector containing the center, to shift the object to the origin of the coordinate system for the calculation of the elongation |
Definition at line 437 of file sdf.h.
T olb::sdf::signedDistanceToPorosity | ( | T | signedDist, |
T | eps ) |
Converts signed distance to values for the smooth epsilon boundary.
Definition at line 446 of file sdf.h.
References olb::util::cos(), M_PI2, and olb::util::pow().
T olb::sdf::smooth_intersection | ( | T | a, |
T | b, | ||
T | k ) |
T olb::sdf::smooth_subtraction | ( | T | a, |
T | b, | ||
T | k ) |
T olb::sdf::smooth_union | ( | T | a, |
T | b, | ||
T | k ) |
Exact signed distance to the surface of a solid angle which represents a combination of a cone (axis y=0 to y=r) and a sphere.
p | point for which the distance to the surface is calculated |
c[0] | sin of the angle |
c[1] | cos of the angle |
r | radius of the sphere |
Definition at line 286 of file sdf.h.
References clamp(), olb::util::max(), olb::norm(), and olb::util::sign().
T olb::sdf::sphere | ( | Vector< T, D > | p, |
T | r ) |
Exact signed distance to the surface of circle (in 2D) or sphere (in 3D).
p | point for which the distance to the surface is calculated |
r | radius describing the geometry |
Definition at line 104 of file sdf.h.
References olb::norm().
T olb::sdf::subtraction | ( | T | a, |
T | b ) |
Volume of a is subtracted from b.
The returned distance is not exact if the signed Distance of both objects points to the part of the surface which is removed for creating the combined object
a | signed Distance of the first object |
b | signed Distance of the second object |
Definition at line 317 of file sdf.h.
References olb::util::max().
Exact signed distance to the surface of a torus placed in the XZ-plane of the coordinate system.
p | point for which the distance to the surface is calculated |
t[0] | distance center of the tube to center of the torus |
t[1] | radius of the tube |
Definition at line 271 of file sdf.h.
References olb::norm().
Vector< T, D > olb::sdf::translate | ( | Vector< T, D > | p, |
Vector< T, D > | origin ) |
Translation: The output of this function is used for the calculation of the signed distance to translated/shifted objects.
p | point for which the distance to the surface is calculated |
origin | point to which the object is shifted to |
Definition at line 299 of file sdf.h.
T olb::sdf::triangle | ( | Vector< T, 2 > | p, |
Vector< T, 2 > | a, | ||
Vector< T, 2 > | b, | ||
Vector< T, 2 > | c ) |
Exact signed distance to the surface of two-dimensional triangle.
p | point for which the distance to the surface is calculated |
a | vector containing first vertex |
b | vector containing second vertex |
c | vector containing third vertex |
Definition at line 143 of file sdf.h.
References clamp(), olb::util::min(), olb::util::sign(), and olb::util::sqrt().
T olb::sdf::unify | ( | T | a, |
T | b ) |
Volume of a and volume of b are combined as a new object.
The returned distance is not exact if the signed Distance of both objects points to the part of the surface which is removed for creating the combined object
a | signed Distance of the first object |
b | signed Distance of the second object |
Definition at line 329 of file sdf.h.
References olb::util::min().