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MeshLib C Docs
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MeshLib C Docs
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#include <MRCMesh/MRVector3.h>#include <MRCMisc/exports.h>#include <MRCMisc/std_array_MR_Vector3d_3.h>#include <MRCMisc/std_array_MR_Vector3f_3.h>#include <stdbool.h>Go to the source code of this file.
Typedefs | |
| typedef struct MR_std_optional_MR_Plane3d | MR_std_optional_MR_Plane3d |
| typedef struct MR_std_optional_MR_Plane3f | MR_std_optional_MR_Plane3f |
| typedef struct MR_std_optional_MR_Vector2d | MR_std_optional_MR_Vector2d |
| typedef struct MR_std_optional_MR_Vector3d | MR_std_optional_MR_Vector3d |
| typedef struct MR_std_optional_MR_Plane3d MR_std_optional_MR_Plane3d |
Stores either a single MR::Plane3d or nothing. Supported MR_PassBy modes: MR_PassBy_DefaultConstruct, MR_PassBy_Copy, MR_PassBy_Move (and MR_PassBy_DefaultArgument and MR_PassBy_NoObject if supported by the callee).
| typedef struct MR_std_optional_MR_Plane3f MR_std_optional_MR_Plane3f |
Stores either a single MR::Plane3f or nothing. Supported MR_PassBy modes: MR_PassBy_DefaultConstruct, MR_PassBy_Copy, MR_PassBy_Move (and MR_PassBy_DefaultArgument and MR_PassBy_NoObject if supported by the callee).
| typedef struct MR_std_optional_MR_Vector2d MR_std_optional_MR_Vector2d |
Stores either a single MR::Vector2d or nothing. Supported MR_PassBy modes: MR_PassBy_DefaultConstruct, MR_PassBy_Copy, MR_PassBy_Move (and MR_PassBy_DefaultArgument and MR_PassBy_NoObject if supported by the callee).
| typedef struct MR_std_optional_MR_Vector3d MR_std_optional_MR_Vector3d |
Stores either a single MR::Vector3d or nothing. Supported MR_PassBy modes: MR_PassBy_DefaultConstruct, MR_PassBy_Copy, MR_PassBy_Move (and MR_PassBy_DefaultArgument and MR_PassBy_NoObject if supported by the callee).
| MRC_API double MR_area_double_MR_Vector2d | ( | const MR_Vector2d * | p, |
| const MR_Vector2d * | q, | ||
| const MR_Vector2d * | r ) |
computes twice the area of given triangle Generated from function MR::area<double>. Parameter p can not be null. It is a single object. Parameter q can not be null. It is a single object. Parameter r can not be null. It is a single object.
| MRC_API double MR_area_double_MR_Vector3d | ( | const MR_Vector3d * | p, |
| const MR_Vector3d * | q, | ||
| const MR_Vector3d * | r ) |
computes twice the area of given triangle Generated from function MR::area<double>. Parameter p can not be null. It is a single object. Parameter q can not be null. It is a single object. Parameter r can not be null. It is a single object.
| MRC_API float MR_area_float_MR_Vector2f | ( | const MR_Vector2f * | p, |
| const MR_Vector2f * | q, | ||
| const MR_Vector2f * | r ) |
computes twice the area of given triangle Generated from function MR::area<float>. Parameter p can not be null. It is a single object. Parameter q can not be null. It is a single object. Parameter r can not be null. It is a single object.
| MRC_API float MR_area_float_MR_Vector3f | ( | const MR_Vector3f * | p, |
| const MR_Vector3f * | q, | ||
| const MR_Vector3f * | r ) |
computes twice the area of given triangle Generated from function MR::area<float>. Parameter p can not be null. It is a single object. Parameter q can not be null. It is a single object. Parameter r can not be null. It is a single object.
| MRC_API bool MR_circumballCenters_double | ( | const MR_Vector3d * | a, |
| const MR_Vector3d * | b, | ||
| const MR_Vector3d * | c, | ||
| double | radius, | ||
| MR_Vector3d * | centerPos, | ||
| MR_Vector3d * | centerNeg ) |
Given triangle ABC and ball radius, finds two centers of balls each touching all 3 triangle's vertices;
| MRC_API bool MR_circumballCenters_float | ( | const MR_Vector3f * | a, |
| const MR_Vector3f * | b, | ||
| const MR_Vector3f * | c, | ||
| float | radius, | ||
| MR_Vector3f * | centerPos, | ||
| MR_Vector3f * | centerNeg ) |
Given triangle ABC and ball radius, finds two centers of balls each touching all 3 triangle's vertices;
| MRC_API MR_Vector3d MR_circumcircleCenter_double_2 | ( | const MR_Vector3d * | a, |
| const MR_Vector3d * | b ) |
Computes the center of the the triangle's 0AB circumcircle Generated from function MR::circumcircleCenter<double>. Parameter a can not be null. It is a single object. Parameter b can not be null. It is a single object.
| MRC_API MR_Vector3d MR_circumcircleCenter_double_3 | ( | const MR_Vector3d * | a, |
| const MR_Vector3d * | b, | ||
| const MR_Vector3d * | c ) |
Computes the center of the the triangle's ABC circumcircle Generated from function MR::circumcircleCenter<double>. Parameter a can not be null. It is a single object. Parameter b can not be null. It is a single object. Parameter c can not be null. It is a single object.
| MRC_API MR_Vector3f MR_circumcircleCenter_float_2 | ( | const MR_Vector3f * | a, |
| const MR_Vector3f * | b ) |
Computes the center of the the triangle's 0AB circumcircle Generated from function MR::circumcircleCenter<float>. Parameter a can not be null. It is a single object. Parameter b can not be null. It is a single object.
| MRC_API MR_Vector3f MR_circumcircleCenter_float_3 | ( | const MR_Vector3f * | a, |
| const MR_Vector3f * | b, | ||
| const MR_Vector3f * | c ) |
Computes the center of the the triangle's ABC circumcircle Generated from function MR::circumcircleCenter<float>. Parameter a can not be null. It is a single object. Parameter b can not be null. It is a single object. Parameter c can not be null. It is a single object.
| MRC_API double MR_circumcircleDiameter_double | ( | const MR_Vector3d * | a, |
| const MR_Vector3d * | b, | ||
| const MR_Vector3d * | c ) |
Computes the diameter of the triangle's ABC circumcircle Generated from function MR::circumcircleDiameter<double>. Parameter a can not be null. It is a single object. Parameter b can not be null. It is a single object. Parameter c can not be null. It is a single object.
| MRC_API float MR_circumcircleDiameter_float | ( | const MR_Vector3f * | a, |
| const MR_Vector3f * | b, | ||
| const MR_Vector3f * | c ) |
Computes the diameter of the triangle's ABC circumcircle Generated from function MR::circumcircleDiameter<float>. Parameter a can not be null. It is a single object. Parameter b can not be null. It is a single object. Parameter c can not be null. It is a single object.
| MRC_API double MR_circumcircleDiameterSq_double | ( | const MR_Vector3d * | a, |
| const MR_Vector3d * | b, | ||
| const MR_Vector3d * | c ) |
Computes the squared diameter of the triangle's ABC circumcircle; Generated from function MR::circumcircleDiameterSq<double>. Parameter a can not be null. It is a single object. Parameter b can not be null. It is a single object. Parameter c can not be null. It is a single object.
| MRC_API float MR_circumcircleDiameterSq_float | ( | const MR_Vector3f * | a, |
| const MR_Vector3f * | b, | ||
| const MR_Vector3f * | c ) |
Computes the squared diameter of the triangle's ABC circumcircle; Generated from function MR::circumcircleDiameterSq<float>. Parameter a can not be null. It is a single object. Parameter b can not be null. It is a single object. Parameter c can not be null. It is a single object.
| MRC_API double MR_cotan_double_2 | ( | const MR_std_array_MR_Vector3d_3 * | t, |
| const double * | absMaxVal ) |
given triangle by its three vertices: t[0], t[1], t[2], returns the cotangent of the angle at t[2], but not larger by magnitude than absMaxVal Generated from function MR::cotan<double>. Parameter t can not be null. It is a single object. Parameter absMaxVal has a default argument: std::numeric_limits<double>::max(), pass a null pointer to use it.
| MRC_API double MR_cotan_double_3 | ( | double | a, |
| double | b, | ||
| double | c ) |
given (a, b, c) - the side lengths of a triangle, returns the cotangent of the angle opposite the side with length a see "An Algorithm for the Construction of Intrinsic Delaunay Triangulations with Applications to Digital Geometry Processing". https://page.math.tu-berlin.de/~bobenko/papers/InDel.pdf Generated from function MR::cotan<double>.
| MRC_API float MR_cotan_float_2 | ( | const MR_std_array_MR_Vector3f_3 * | t, |
| const float * | absMaxVal ) |
given triangle by its three vertices: t[0], t[1], t[2], returns the cotangent of the angle at t[2], but not larger by magnitude than absMaxVal Generated from function MR::cotan<float>. Parameter t can not be null. It is a single object. Parameter absMaxVal has a default argument: std::numeric_limits<float>::max(), pass a null pointer to use it.
| MRC_API float MR_cotan_float_3 | ( | float | a, |
| float | b, | ||
| float | c ) |
given (a, b, c) - the side lengths of a triangle, returns the cotangent of the angle opposite the side with length a see "An Algorithm for the Construction of Intrinsic Delaunay Triangulations with Applications to Digital Geometry Processing". https://page.math.tu-berlin.de/~bobenko/papers/InDel.pdf Generated from function MR::cotan<float>.
| MRC_API double MR_coveringRadiusSq_double | ( | const MR_Vector3d * | a, |
| const MR_Vector3d * | b, | ||
| const MR_Vector3d * | c ) |
Computes the squared maximal distance from a point of the triangle ABC to the nearest of its vertices, so the balls of that radius around the vertices cover the whole triangle. For non-obtuse triangles it is the squared circumradius, and for obtuse ones it can be much smaller than in the minimal enclosing circle, e.g. when the third vertex is near the longest edge Generated from function MR::coveringRadiusSq<double>. Parameter a can not be null. It is a single object. Parameter b can not be null. It is a single object. Parameter c can not be null. It is a single object.
| MRC_API float MR_coveringRadiusSq_float | ( | const MR_Vector3f * | a, |
| const MR_Vector3f * | b, | ||
| const MR_Vector3f * | c ) |
Computes the squared maximal distance from a point of the triangle ABC to the nearest of its vertices, so the balls of that radius around the vertices cover the whole triangle. For non-obtuse triangles it is the squared circumradius, and for obtuse ones it can be much smaller than in the minimal enclosing circle, e.g. when the third vertex is near the longest edge Generated from function MR::coveringRadiusSq<float>. Parameter a can not be null. It is a single object. Parameter b can not be null. It is a single object. Parameter c can not be null. It is a single object.
| MRC_API double MR_dblArea_double_1 | ( | const MR_std_array_MR_Vector3d_3 * | t | ) |
computes twice the area of given triangle Generated from function MR::dblArea<double>. Parameter t can not be null. It is a single object.
| MRC_API double MR_dblArea_double_3_MR_Vector2d | ( | const MR_Vector2d * | p, |
| const MR_Vector2d * | q, | ||
| const MR_Vector2d * | r ) |
computes twice the area of given triangle Generated from function MR::dblArea<double>. Parameter p can not be null. It is a single object. Parameter q can not be null. It is a single object. Parameter r can not be null. It is a single object.
| MRC_API double MR_dblArea_double_3_MR_Vector3d | ( | const MR_Vector3d * | p, |
| const MR_Vector3d * | q, | ||
| const MR_Vector3d * | r ) |
computes twice the area of given triangle Generated from function MR::dblArea<double>. Parameter p can not be null. It is a single object. Parameter q can not be null. It is a single object. Parameter r can not be null. It is a single object.
| MRC_API float MR_dblArea_float_1 | ( | const MR_std_array_MR_Vector3f_3 * | t | ) |
computes twice the area of given triangle Generated from function MR::dblArea<float>. Parameter t can not be null. It is a single object.
| MRC_API float MR_dblArea_float_3_MR_Vector2f | ( | const MR_Vector2f * | p, |
| const MR_Vector2f * | q, | ||
| const MR_Vector2f * | r ) |
computes twice the area of given triangle Generated from function MR::dblArea<float>. Parameter p can not be null. It is a single object. Parameter q can not be null. It is a single object. Parameter r can not be null. It is a single object.
| MRC_API float MR_dblArea_float_3_MR_Vector3f | ( | const MR_Vector3f * | p, |
| const MR_Vector3f * | q, | ||
| const MR_Vector3f * | r ) |
computes twice the area of given triangle Generated from function MR::dblArea<float>. Parameter p can not be null. It is a single object. Parameter q can not be null. It is a single object. Parameter r can not be null. It is a single object.
| MRC_API double MR_dblAreaSq_double | ( | const MR_Vector3d * | p, |
| const MR_Vector3d * | q, | ||
| const MR_Vector3d * | r ) |
computes the square of double area of given triangle Generated from function MR::dblAreaSq<double>. Parameter p can not be null. It is a single object. Parameter q can not be null. It is a single object. Parameter r can not be null. It is a single object.
| MRC_API float MR_dblAreaSq_float | ( | const MR_Vector3f * | p, |
| const MR_Vector3f * | q, | ||
| const MR_Vector3f * | r ) |
computes the square of double area of given triangle Generated from function MR::dblAreaSq<float>. Parameter p can not be null. It is a single object. Parameter q can not be null. It is a single object. Parameter r can not be null. It is a single object.
| MRC_API double MR_dihedralAngle_double | ( | const MR_Vector3d * | leftNorm, |
| const MR_Vector3d * | rightNorm, | ||
| const MR_Vector3d * | edgeVec ) |
given an edge direction between two faces with given normals (not necessary of unit length), computes the dihedral angle between the faces: 0 if both faces are in the same plane, positive if the faces form convex surface, negative if the faces form concave surface; please consider the usage of faster dihedralAngleSin(e) and dihedralAngleCos(e) Generated from function MR::dihedralAngle<double>. Parameter leftNorm can not be null. It is a single object. Parameter rightNorm can not be null. It is a single object. Parameter edgeVec can not be null. It is a single object.
| MRC_API float MR_dihedralAngle_float | ( | const MR_Vector3f * | leftNorm, |
| const MR_Vector3f * | rightNorm, | ||
| const MR_Vector3f * | edgeVec ) |
given an edge direction between two faces with given normals (not necessary of unit length), computes the dihedral angle between the faces: 0 if both faces are in the same plane, positive if the faces form convex surface, negative if the faces form concave surface; please consider the usage of faster dihedralAngleSin(e) and dihedralAngleCos(e) Generated from function MR::dihedralAngle<float>. Parameter leftNorm can not be null. It is a single object. Parameter rightNorm can not be null. It is a single object. Parameter edgeVec can not be null. It is a single object.
| MRC_API double MR_dihedralAngleCos_double | ( | const MR_Vector3d * | leftNorm, |
| const MR_Vector3d * | rightNorm ) |
given two face normals, computes cosine of dihedral angle between the faces: 1 if both faces are in the same plane, 0 if the surface makes right angle turn at the edge, -1 if the faces overlap one another Generated from function MR::dihedralAngleCos<double>. Parameter leftNorm can not be null. It is a single object. Parameter rightNorm can not be null. It is a single object.
| MRC_API float MR_dihedralAngleCos_float | ( | const MR_Vector3f * | leftNorm, |
| const MR_Vector3f * | rightNorm ) |
given two face normals, computes cosine of dihedral angle between the faces: 1 if both faces are in the same plane, 0 if the surface makes right angle turn at the edge, -1 if the faces overlap one another Generated from function MR::dihedralAngleCos<float>. Parameter leftNorm can not be null. It is a single object. Parameter rightNorm can not be null. It is a single object.
| MRC_API double MR_dihedralAngleSin_double | ( | const MR_Vector3d * | leftNorm, |
| const MR_Vector3d * | rightNorm, | ||
| const MR_Vector3d * | edgeVec ) |
given an edge direction between two faces with given normals, computes sine of dihedral angle between the faces: 0 if both faces are in the same plane, positive if the faces form convex surface, negative if the faces form concave surface Generated from function MR::dihedralAngleSin<double>. Parameter leftNorm can not be null. It is a single object. Parameter rightNorm can not be null. It is a single object. Parameter edgeVec can not be null. It is a single object.
| MRC_API float MR_dihedralAngleSin_float | ( | const MR_Vector3f * | leftNorm, |
| const MR_Vector3f * | rightNorm, | ||
| const MR_Vector3f * | edgeVec ) |
given an edge direction between two faces with given normals, computes sine of dihedral angle between the faces: 0 if both faces are in the same plane, positive if the faces form convex surface, negative if the faces form concave surface Generated from function MR::dihedralAngleSin<float>. Parameter leftNorm can not be null. It is a single object. Parameter rightNorm can not be null. It is a single object. Parameter edgeVec can not be null. It is a single object.
| MRC_API MR_Vector3d MR_dirDblArea_double_1 | ( | const MR_std_array_MR_Vector3d_3 * | t | ) |
computes directed double area of given triangle Generated from function MR::dirDblArea<double>. Parameter t can not be null. It is a single object.
| MRC_API MR_Vector3d MR_dirDblArea_double_2 | ( | const MR_Vector3d * | q, |
| const MR_Vector3d * | r ) |
computes directed double area of triangle 0QR Generated from function MR::dirDblArea<double>. Parameter q can not be null. It is a single object. Parameter r can not be null. It is a single object.
| MRC_API MR_Vector3d MR_dirDblArea_double_3 | ( | const MR_Vector3d * | p, |
| const MR_Vector3d * | q, | ||
| const MR_Vector3d * | r ) |
computes directed double area of triangle PQR Generated from function MR::dirDblArea<double>. Parameter p can not be null. It is a single object. Parameter q can not be null. It is a single object. Parameter r can not be null. It is a single object.
| MRC_API MR_Vector3f MR_dirDblArea_float_1 | ( | const MR_std_array_MR_Vector3f_3 * | t | ) |
computes directed double area of given triangle Generated from function MR::dirDblArea<float>. Parameter t can not be null. It is a single object.
| MRC_API MR_Vector3f MR_dirDblArea_float_2 | ( | const MR_Vector3f * | q, |
| const MR_Vector3f * | r ) |
computes directed double area of triangle 0QR Generated from function MR::dirDblArea<float>. Parameter q can not be null. It is a single object. Parameter r can not be null. It is a single object.
| MRC_API MR_Vector3f MR_dirDblArea_float_3 | ( | const MR_Vector3f * | p, |
| const MR_Vector3f * | q, | ||
| const MR_Vector3f * | r ) |
computes directed double area of triangle PQR Generated from function MR::dirDblArea<float>. Parameter p can not be null. It is a single object. Parameter q can not be null. It is a single object. Parameter r can not be null. It is a single object.
| MRC_API double MR_edgeCoveringRadiusSq_double | ( | const MR_Vector3d * | a, |
| const MR_Vector3d * | b, | ||
| const MR_Vector3d * | c ) |
Computes the squared maximal distance from a point of the segment AB to the nearest of the points A, B and C: this is where the balls of that radius around the three points stop covering the segment Generated from function MR::edgeCoveringRadiusSq<double>. Parameter a can not be null. It is a single object. Parameter b can not be null. It is a single object. Parameter c can not be null. It is a single object.
| MRC_API float MR_edgeCoveringRadiusSq_float | ( | const MR_Vector3f * | a, |
| const MR_Vector3f * | b, | ||
| const MR_Vector3f * | c ) |
Computes the squared maximal distance from a point of the segment AB to the nearest of the points A, B and C: this is where the balls of that radius around the three points stop covering the segment Generated from function MR::edgeCoveringRadiusSq<float>. Parameter a can not be null. It is a single object. Parameter b can not be null. It is a single object. Parameter c can not be null. It is a single object.
| MRC_API MR_std_optional_double * MR_findTriExitPos_double | ( | const MR_Vector3d * | b, |
| const MR_Vector3d * | c, | ||
| const MR_Vector3d * | grad ) |
Generated from function MR::findTriExitPos<double>. Parameter b can not be null. It is a single object. Parameter c can not be null. It is a single object. Parameter grad can not be null. It is a single object. Never returns null. Returns an instance allocated on the heap! Must call MR_std_optional_double_Destroy() to free it when you're done using it.
| MRC_API MR_std_optional_float * MR_findTriExitPos_float | ( | const MR_Vector3f * | b, |
| const MR_Vector3f * | c, | ||
| const MR_Vector3f * | grad ) |
Generated from function MR::findTriExitPos<float>. Parameter b can not be null. It is a single object. Parameter c can not be null. It is a single object. Parameter grad can not be null. It is a single object. Never returns null. Returns an instance allocated on the heap! Must call MR_std_optional_float_Destroy() to free it when you're done using it.
| MRC_API MR_std_optional_MR_Vector3d * MR_gradientInTri_double_4 | ( | const MR_Vector3d * | b, |
| const MR_Vector3d * | c, | ||
| double | vb, | ||
| double | vc ) |
Consider triangle 0BC, where a linear scalar field is defined in all 3 vertices: v(0) = 0, v(b) = vb, v(c) = vc; returns field gradient in the triangle or std::nullopt if the triangle is degenerate Generated from function MR::gradientInTri<double>. Parameter b can not be null. It is a single object. Parameter c can not be null. It is a single object. Never returns null. Returns an instance allocated on the heap! Must call MR_std_optional_MR_Vector3d_Destroy() to free it when you're done using it.
| MRC_API MR_std_optional_MR_Vector3d * MR_gradientInTri_double_6 | ( | const MR_Vector3d * | a, |
| const MR_Vector3d * | b, | ||
| const MR_Vector3d * | c, | ||
| double | va, | ||
| double | vb, | ||
| double | vc ) |
Consider triangle ABC, where a linear scalar field is defined in all 3 vertices: v(a) = va, v(b) = vb, v(c) = vc; returns field gradient in the triangle or std::nullopt if the triangle is degenerate Generated from function MR::gradientInTri<double>. Parameter a can not be null. It is a single object. Parameter b can not be null. It is a single object. Parameter c can not be null. It is a single object. Never returns null. Returns an instance allocated on the heap! Must call MR_std_optional_MR_Vector3d_Destroy() to free it when you're done using it.
| MRC_API MR_std_optional_MR_Vector3f * MR_gradientInTri_float_4 | ( | const MR_Vector3f * | b, |
| const MR_Vector3f * | c, | ||
| float | vb, | ||
| float | vc ) |
Consider triangle 0BC, where a linear scalar field is defined in all 3 vertices: v(0) = 0, v(b) = vb, v(c) = vc; returns field gradient in the triangle or std::nullopt if the triangle is degenerate Generated from function MR::gradientInTri<float>. Parameter b can not be null. It is a single object. Parameter c can not be null. It is a single object. Never returns null. Returns an instance allocated on the heap! Must call MR_std_optional_MR_Vector3f_Destroy() to free it when you're done using it.
| MRC_API MR_std_optional_MR_Vector3f * MR_gradientInTri_float_6 | ( | const MR_Vector3f * | a, |
| const MR_Vector3f * | b, | ||
| const MR_Vector3f * | c, | ||
| float | va, | ||
| float | vb, | ||
| float | vc ) |
Consider triangle ABC, where a linear scalar field is defined in all 3 vertices: v(a) = va, v(b) = vb, v(c) = vc; returns field gradient in the triangle or std::nullopt if the triangle is degenerate Generated from function MR::gradientInTri<float>. Parameter a can not be null. It is a single object. Parameter b can not be null. It is a single object. Parameter c can not be null. It is a single object. Never returns null. Returns an instance allocated on the heap! Must call MR_std_optional_MR_Vector3f_Destroy() to free it when you're done using it.
| MRC_API MR_std_array_MR_Vector3d_3 MR_makeDegenerate_double | ( | const MR_std_array_MR_Vector3d_3 * | t | ) |
make degenerate triangle (all 3 points on a line) that maximally resembles the input one and has the same centroid Generated from function MR::makeDegenerate<double>. Parameter t can not be null. It is a single object.
| MRC_API MR_std_array_MR_Vector3f_3 MR_makeDegenerate_float | ( | const MR_std_array_MR_Vector3f_3 * | t | ) |
make degenerate triangle (all 3 points on a line) that maximally resembles the input one and has the same centroid Generated from function MR::makeDegenerate<float>. Parameter t can not be null. It is a single object.
| MRC_API double MR_mincircleDiameterSq_double | ( | const MR_Vector3d * | a, |
| const MR_Vector3d * | b, | ||
| const MR_Vector3d * | c ) |
Computes the squared diameter of the smallest enclosed circle around ABC; For acute triangles it is the same as circumcircle, for obtuse triangles - the circle with the longest triangle's edge as a diameter Generated from function MR::mincircleDiameterSq<double>. Parameter a can not be null. It is a single object. Parameter b can not be null. It is a single object. Parameter c can not be null. It is a single object.
| MRC_API float MR_mincircleDiameterSq_float | ( | const MR_Vector3f * | a, |
| const MR_Vector3f * | b, | ||
| const MR_Vector3f * | c ) |
Computes the squared diameter of the smallest enclosed circle around ABC; For acute triangles it is the same as circumcircle, for obtuse triangles - the circle with the longest triangle's edge as a diameter Generated from function MR::mincircleDiameterSq<float>. Parameter a can not be null. It is a single object. Parameter b can not be null. It is a single object. Parameter c can not be null. It is a single object.
| MRC_API double MR_minTriangleAngle_double | ( | const MR_Vector3d * | a, |
| const MR_Vector3d * | b, | ||
| const MR_Vector3d * | c ) |
Generated from function MR::minTriangleAngle<double>. Parameter a can not be null. It is a single object. Parameter b can not be null. It is a single object. Parameter c can not be null. It is a single object.
| MRC_API float MR_minTriangleAngle_float | ( | const MR_Vector3f * | a, |
| const MR_Vector3f * | b, | ||
| const MR_Vector3f * | c ) |
Generated from function MR::minTriangleAngle<float>. Parameter a can not be null. It is a single object. Parameter b can not be null. It is a single object. Parameter c can not be null. It is a single object.
| MRC_API double MR_minTriangleAngleSin_double | ( | const MR_Vector3d * | a, |
| const MR_Vector3d * | b, | ||
| const MR_Vector3d * | c ) |
Computes sine of minimal angle in ABC triangle, which is equal to ratio of minimal edge length to circumcircle diameter Generated from function MR::minTriangleAngleSin<double>. Parameter a can not be null. It is a single object. Parameter b can not be null. It is a single object. Parameter c can not be null. It is a single object.
| MRC_API float MR_minTriangleAngleSin_float | ( | const MR_Vector3f * | a, |
| const MR_Vector3f * | b, | ||
| const MR_Vector3f * | c ) |
Computes sine of minimal angle in ABC triangle, which is equal to ratio of minimal edge length to circumcircle diameter Generated from function MR::minTriangleAngleSin<float>. Parameter a can not be null. It is a single object. Parameter b can not be null. It is a single object. Parameter c can not be null. It is a single object.
| MRC_API MR_Vector3d MR_normal_double_1 | ( | const MR_std_array_MR_Vector3d_3 * | t | ) |
computes unit normal of the given triangle Generated from function MR::normal<double>. Parameter t can not be null. It is a single object.
| MRC_API MR_Vector3d MR_normal_double_2 | ( | const MR_Vector3d * | q, |
| const MR_Vector3d * | r ) |
computes unit normal of triangle 0QR Generated from function MR::normal<double>. Parameter q can not be null. It is a single object. Parameter r can not be null. It is a single object.
| MRC_API MR_Vector3d MR_normal_double_3 | ( | const MR_Vector3d * | p, |
| const MR_Vector3d * | q, | ||
| const MR_Vector3d * | r ) |
computes unit normal of triangle PQR Generated from function MR::normal<double>. Parameter p can not be null. It is a single object. Parameter q can not be null. It is a single object. Parameter r can not be null. It is a single object.
| MRC_API MR_Vector3f MR_normal_float_1 | ( | const MR_std_array_MR_Vector3f_3 * | t | ) |
computes unit normal of the given triangle Generated from function MR::normal<float>. Parameter t can not be null. It is a single object.
| MRC_API MR_Vector3f MR_normal_float_2 | ( | const MR_Vector3f * | q, |
| const MR_Vector3f * | r ) |
computes unit normal of triangle 0QR Generated from function MR::normal<float>. Parameter q can not be null. It is a single object. Parameter r can not be null. It is a single object.
| MRC_API MR_Vector3f MR_normal_float_3 | ( | const MR_Vector3f * | p, |
| const MR_Vector3f * | q, | ||
| const MR_Vector3f * | r ) |
computes unit normal of triangle PQR Generated from function MR::normal<float>. Parameter p can not be null. It is a single object. Parameter q can not be null. It is a single object. Parameter r can not be null. It is a single object.
| MRC_API MR_std_optional_MR_Vector2d * MR_posFromTriEdgeLengths_double | ( | double | a, |
| double | b, | ||
| double | c ) |
given the lengths of 3 edges of triangle ABC, and assuming that point B has coordinates (0,0); point A - (0,c); computes the coordinates of point C (where c.x >= 0) or returns std::nullopt if input lengths are invalid for a triangle Generated from function MR::posFromTriEdgeLengths<double>. Never returns null. Returns an instance allocated on the heap! Must call MR_std_optional_MR_Vector2d_Destroy() to free it when you're done using it.
| MRC_API MR_std_optional_MR_Vector2f * MR_posFromTriEdgeLengths_float | ( | float | a, |
| float | b, | ||
| float | c ) |
given the lengths of 3 edges of triangle ABC, and assuming that point B has coordinates (0,0); point A - (0,c); computes the coordinates of point C (where c.x >= 0) or returns std::nullopt if input lengths are invalid for a triangle Generated from function MR::posFromTriEdgeLengths<float>. Never returns null. Returns an instance allocated on the heap! Must call MR_std_optional_MR_Vector2f_Destroy() to free it when you're done using it.
| MRC_API MR_std_optional_double * MR_quadrangleOtherDiagonal_double | ( | double | a, |
| double | b, | ||
| double | c, | ||
| double | a1, | ||
| double | b1 ) |
given two triangles on same plane sharing one side, with edge lengths in same order: (a, b, c) and (b1, a1, c); they can be considered as a quadrangle with a diagonal of length (c); and the lengths of consecutive edges (a, b, b1, a1); returns the length of the other quadrangle's diagonal if the quadrangle is valid and convex or std::nullopt otherwise Generated from function MR::quadrangleOtherDiagonal<double>. Never returns null. Returns an instance allocated on the heap! Must call MR_std_optional_double_Destroy() to free it when you're done using it.
| MRC_API MR_std_optional_float * MR_quadrangleOtherDiagonal_float | ( | float | a, |
| float | b, | ||
| float | c, | ||
| float | a1, | ||
| float | b1 ) |
given two triangles on same plane sharing one side, with edge lengths in same order: (a, b, c) and (b1, a1, c); they can be considered as a quadrangle with a diagonal of length (c); and the lengths of consecutive edges (a, b, b1, a1); returns the length of the other quadrangle's diagonal if the quadrangle is valid and convex or std::nullopt otherwise Generated from function MR::quadrangleOtherDiagonal<float>. Never returns null. Returns an instance allocated on the heap! Must call MR_std_optional_float_Destroy() to free it when you're done using it.
| MRC_API MR_std_optional_MR_Vector3d * MR_tangentPlaneNormalToSpheres_double | ( | const MR_Vector3d * | b, |
| const MR_Vector3d * | c, | ||
| double | rb, | ||
| double | rc ) |
Given 3 spheres: 1) sphere with center at b and radius rb 2) sphere with center at c and radius rc 3) sphere with center at the origin and zero radius (actually point); finds the plane touching all 3 spheres: dot(n,x) = 0, such that cross( n, b, c ) > 0 (to select one of two planes) returns n or std::nullopt if no touch plane exists Generated from function MR::tangentPlaneNormalToSpheres<double>. Parameter b can not be null. It is a single object. Parameter c can not be null. It is a single object. Never returns null. Returns an instance allocated on the heap! Must call MR_std_optional_MR_Vector3d_Destroy() to free it when you're done using it.
| MRC_API MR_std_optional_MR_Vector3f * MR_tangentPlaneNormalToSpheres_float | ( | const MR_Vector3f * | b, |
| const MR_Vector3f * | c, | ||
| float | rb, | ||
| float | rc ) |
Given 3 spheres: 1) sphere with center at b and radius rb 2) sphere with center at c and radius rc 3) sphere with center at the origin and zero radius (actually point); finds the plane touching all 3 spheres: dot(n,x) = 0, such that cross( n, b, c ) > 0 (to select one of two planes) returns n or std::nullopt if no touch plane exists Generated from function MR::tangentPlaneNormalToSpheres<float>. Parameter b can not be null. It is a single object. Parameter c can not be null. It is a single object. Never returns null. Returns an instance allocated on the heap! Must call MR_std_optional_MR_Vector3f_Destroy() to free it when you're done using it.
| MRC_API MR_std_optional_MR_Plane3d * MR_tangentPlaneToSpheres_double | ( | const MR_Vector3d * | a, |
| const MR_Vector3d * | b, | ||
| const MR_Vector3d * | c, | ||
| double | ra, | ||
| double | rb, | ||
| double | rc ) |
Given 3 spheres: 1) sphere with center at a and radius ra 2) sphere with center at b and radius rb 3) sphere with center at c and radius rc finds the plane touching all 3 spheres: dot(n,x) = d, such that cross( n, b-a, c-a ) > 0 (to select one of two planes) returns found plane or std::nullopt if no touch plane exists Generated from function MR::tangentPlaneToSpheres<double>. Parameter a can not be null. It is a single object. Parameter b can not be null. It is a single object. Parameter c can not be null. It is a single object. Never returns null. Returns an instance allocated on the heap! Must call MR_std_optional_MR_Plane3d_Destroy() to free it when you're done using it.
| MRC_API MR_std_optional_MR_Plane3f * MR_tangentPlaneToSpheres_float | ( | const MR_Vector3f * | a, |
| const MR_Vector3f * | b, | ||
| const MR_Vector3f * | c, | ||
| float | ra, | ||
| float | rb, | ||
| float | rc ) |
Given 3 spheres: 1) sphere with center at a and radius ra 2) sphere with center at b and radius rb 3) sphere with center at c and radius rc finds the plane touching all 3 spheres: dot(n,x) = d, such that cross( n, b-a, c-a ) > 0 (to select one of two planes) returns found plane or std::nullopt if no touch plane exists Generated from function MR::tangentPlaneToSpheres<float>. Parameter a can not be null. It is a single object. Parameter b can not be null. It is a single object. Parameter c can not be null. It is a single object. Never returns null. Returns an instance allocated on the heap! Must call MR_std_optional_MR_Plane3f_Destroy() to free it when you're done using it.
| MRC_API double MR_tanSqOfHalfAngle_double | ( | double | a, |
| double | b, | ||
| double | c ) |
given (a, b, c) - the side lengths of a triangle, returns the squared tangent of half angle opposite the side with length (a) see "An Algorithm for the Construction of Intrinsic Delaunay Triangulations with Applications to Digital Geometry Processing". https://page.math.tu-berlin.de/~bobenko/papers/InDel.pdf Generated from function MR::tanSqOfHalfAngle<double>.
| MRC_API float MR_tanSqOfHalfAngle_float | ( | float | a, |
| float | b, | ||
| float | c ) |
given (a, b, c) - the side lengths of a triangle, returns the squared tangent of half angle opposite the side with length (a) see "An Algorithm for the Construction of Intrinsic Delaunay Triangulations with Applications to Digital Geometry Processing". https://page.math.tu-berlin.de/~bobenko/papers/InDel.pdf Generated from function MR::tanSqOfHalfAngle<float>.
| MRC_API double MR_triangleAspectRatio_double | ( | const MR_Vector3d * | a, |
| const MR_Vector3d * | b, | ||
| const MR_Vector3d * | c ) |
Aspect ratio of a triangle is the ratio of the circum-radius to twice its in-radius Generated from function MR::triangleAspectRatio<double>. Parameter a can not be null. It is a single object. Parameter b can not be null. It is a single object. Parameter c can not be null. It is a single object.
| MRC_API float MR_triangleAspectRatio_float | ( | const MR_Vector3f * | a, |
| const MR_Vector3f * | b, | ||
| const MR_Vector3f * | c ) |
Aspect ratio of a triangle is the ratio of the circum-radius to twice its in-radius Generated from function MR::triangleAspectRatio<float>. Parameter a can not be null. It is a single object. Parameter b can not be null. It is a single object. Parameter c can not be null. It is a single object.
| MRC_API MR_std_array_MR_Vector3d_3 MR_triangleWithNormal_double | ( | const MR_std_array_MR_Vector3d_3 * | t, |
| const MR_Vector3d * | n ) |
project given triangle on a plane passing via its centroid and having unit normal (n); if after projection triangle normal turns out to be inversed, then collapses the triangle into degenerate line segment Generated from function MR::triangleWithNormal<double>. Parameter t can not be null. It is a single object. Parameter n can not be null. It is a single object.
| MRC_API MR_std_array_MR_Vector3f_3 MR_triangleWithNormal_float | ( | const MR_std_array_MR_Vector3f_3 * | t, |
| const MR_Vector3f * | n ) |
project given triangle on a plane passing via its centroid and having unit normal (n); if after projection triangle normal turns out to be inversed, then collapses the triangle into degenerate line segment Generated from function MR::triangleWithNormal<float>. Parameter t can not be null. It is a single object. Parameter n can not be null. It is a single object.
1.14.0