MRTriMath.h

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#pragma once
 
#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>
 
#ifdef __cplusplus
extern "C" {
#endif
 
typedef struct MR_Vector2d MR_Vector2d; // Defined in `#include <MRCMesh/MRVector2.h>`.
typedef struct MR_Vector2f MR_Vector2f; // Defined in `#include <MRCMesh/MRVector2.h>`.
typedef struct MR_std_optional_MR_Plane3d MR_std_optional_MR_Plane3d; // Defined in `#include <MRCMisc/std_optional_MR_Plane3d.h>`.
typedef struct MR_std_optional_MR_Plane3f MR_std_optional_MR_Plane3f; // Defined in `#include <MRCMisc/std_optional_MR_Plane3f.h>`.
typedef struct MR_std_optional_MR_Vector2d MR_std_optional_MR_Vector2d; // Defined in `#include <MRCMisc/std_optional_MR_Vector2d.h>`.
typedef struct MR_std_optional_MR_Vector2f MR_std_optional_MR_Vector2f; // Defined in `#include <MRCMisc/std_optional_MR_Vector2f.h>`.
typedef struct MR_std_optional_MR_Vector3d MR_std_optional_MR_Vector3d; // Defined in `#include <MRCMisc/std_optional_MR_Vector3d.h>`.
typedef struct MR_std_optional_MR_Vector3f MR_std_optional_MR_Vector3f; // Defined in `#include <MRCMisc/std_optional_MR_Vector3f.h>`.
typedef struct MR_std_optional_double MR_std_optional_double; // Defined in `#include <MRCMisc/std_optional_double.h>`.
typedef struct MR_std_optional_float MR_std_optional_float; // Defined in `#include <MRCMisc/std_optional_float.h>`.
 

MRC_API float MR_circumcircleDiameterSq_float(const MR_Vector3f *a, const MR_Vector3f *b, const MR_Vector3f *c);

MRC_API double MR_circumcircleDiameterSq_double(const MR_Vector3d *a, const MR_Vector3d *b, const MR_Vector3d *c);

MRC_API float MR_circumcircleDiameter_float(const MR_Vector3f *a, const MR_Vector3f *b, const MR_Vector3f *c);

MRC_API double MR_circumcircleDiameter_double(const MR_Vector3d *a, const MR_Vector3d *b, const MR_Vector3d *c);

MRC_API float MR_mincircleDiameterSq_float(const MR_Vector3f *a, const MR_Vector3f *b, const MR_Vector3f *c);

MRC_API double MR_mincircleDiameterSq_double(const MR_Vector3d *a, const MR_Vector3d *b, const MR_Vector3d *c);

MRC_API float MR_edgeCoveringRadiusSq_float(const MR_Vector3f *a, const MR_Vector3f *b, const MR_Vector3f *c);

MRC_API double MR_edgeCoveringRadiusSq_double(const MR_Vector3d *a, const MR_Vector3d *b, const MR_Vector3d *c);

MRC_API float MR_coveringRadiusSq_float(const MR_Vector3f *a, const MR_Vector3f *b, const MR_Vector3f *c);

MRC_API double MR_coveringRadiusSq_double(const MR_Vector3d *a, const MR_Vector3d *b, const MR_Vector3d *c);

MRC_API MR_Vector3f MR_circumcircleCenter_float_2(const MR_Vector3f *a, const MR_Vector3f *b);

MRC_API MR_Vector3d MR_circumcircleCenter_double_2(const MR_Vector3d *a, const MR_Vector3d *b);

MRC_API MR_Vector3f MR_circumcircleCenter_float_3(const MR_Vector3f *a, const MR_Vector3f *b, const MR_Vector3f *c);

MRC_API MR_Vector3d MR_circumcircleCenter_double_3(const MR_Vector3d *a, const MR_Vector3d *b, const MR_Vector3d *c);

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);

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);

MRC_API float MR_minTriangleAngleSin_float(const MR_Vector3f *a, const MR_Vector3f *b, const MR_Vector3f *c);

MRC_API double MR_minTriangleAngleSin_double(const MR_Vector3d *a, const MR_Vector3d *b, const MR_Vector3d *c);

MRC_API float MR_minTriangleAngle_float(const MR_Vector3f *a, const MR_Vector3f *b, const MR_Vector3f *c);

MRC_API double MR_minTriangleAngle_double(const MR_Vector3d *a, const MR_Vector3d *b, const MR_Vector3d *c);

MRC_API float MR_triangleAspectRatio_float(const MR_Vector3f *a, const MR_Vector3f *b, const MR_Vector3f *c);

MRC_API double MR_triangleAspectRatio_double(const MR_Vector3d *a, const MR_Vector3d *b, const MR_Vector3d *c);

MRC_API MR_Vector3f MR_dirDblArea_float_1(const MR_std_array_MR_Vector3f_3 *t);

MRC_API MR_Vector3d MR_dirDblArea_double_1(const MR_std_array_MR_Vector3d_3 *t);

MRC_API MR_Vector3f MR_dirDblArea_float_2(const MR_Vector3f *q, const MR_Vector3f *r);

MRC_API MR_Vector3d MR_dirDblArea_double_2(const MR_Vector3d *q, const MR_Vector3d *r);

MRC_API MR_Vector3f MR_dirDblArea_float_3(const MR_Vector3f *p, const MR_Vector3f *q, const MR_Vector3f *r);

MRC_API MR_Vector3d MR_dirDblArea_double_3(const MR_Vector3d *p, const MR_Vector3d *q, const MR_Vector3d *r);

MRC_API MR_Vector3f MR_normal_float_2(const MR_Vector3f *q, const MR_Vector3f *r);

MRC_API MR_Vector3d MR_normal_double_2(const MR_Vector3d *q, const MR_Vector3d *r);

MRC_API MR_Vector3f MR_normal_float_3(const MR_Vector3f *p, const MR_Vector3f *q, const MR_Vector3f *r);

MRC_API MR_Vector3d MR_normal_double_3(const MR_Vector3d *p, const MR_Vector3d *q, const MR_Vector3d *r);

MRC_API MR_Vector3f MR_normal_float_1(const MR_std_array_MR_Vector3f_3 *t);

MRC_API MR_Vector3d MR_normal_double_1(const MR_std_array_MR_Vector3d_3 *t);

MRC_API float MR_dblAreaSq_float(const MR_Vector3f *p, const MR_Vector3f *q, const MR_Vector3f *r);

MRC_API double MR_dblAreaSq_double(const MR_Vector3d *p, const MR_Vector3d *q, const MR_Vector3d *r);

MRC_API float MR_dblArea_float_1(const MR_std_array_MR_Vector3f_3 *t);

MRC_API double MR_dblArea_double_1(const MR_std_array_MR_Vector3d_3 *t);

MRC_API float MR_dblArea_float_3_MR_Vector3f(const MR_Vector3f *p, const MR_Vector3f *q, const MR_Vector3f *r);

MRC_API double MR_dblArea_double_3_MR_Vector3d(const MR_Vector3d *p, const MR_Vector3d *q, const MR_Vector3d *r);

MRC_API float MR_area_float_MR_Vector3f(const MR_Vector3f *p, const MR_Vector3f *q, const MR_Vector3f *r);

MRC_API double MR_area_double_MR_Vector3d(const MR_Vector3d *p, const MR_Vector3d *q, const MR_Vector3d *r);

MRC_API float MR_dblArea_float_3_MR_Vector2f(const MR_Vector2f *p, const MR_Vector2f *q, const MR_Vector2f *r);

MRC_API double MR_dblArea_double_3_MR_Vector2d(const MR_Vector2d *p, const MR_Vector2d *q, const MR_Vector2d *r);

MRC_API float MR_area_float_MR_Vector2f(const MR_Vector2f *p, const MR_Vector2f *q, const MR_Vector2f *r);

MRC_API double MR_area_double_MR_Vector2d(const MR_Vector2d *p, const MR_Vector2d *q, const MR_Vector2d *r);

MRC_API MR_std_array_MR_Vector3f_3 MR_makeDegenerate_float(const MR_std_array_MR_Vector3f_3 *t);

MRC_API MR_std_array_MR_Vector3d_3 MR_makeDegenerate_double(const MR_std_array_MR_Vector3d_3 *t);

MRC_API MR_std_array_MR_Vector3f_3 MR_triangleWithNormal_float(const MR_std_array_MR_Vector3f_3 *t, const MR_Vector3f *n);

MRC_API MR_std_array_MR_Vector3d_3 MR_triangleWithNormal_double(const MR_std_array_MR_Vector3d_3 *t, const MR_Vector3d *n);

MRC_API float MR_dihedralAngleSin_float(const MR_Vector3f *leftNorm, const MR_Vector3f *rightNorm, const MR_Vector3f *edgeVec);

MRC_API double MR_dihedralAngleSin_double(const MR_Vector3d *leftNorm, const MR_Vector3d *rightNorm, const MR_Vector3d *edgeVec);

MRC_API float MR_dihedralAngleCos_float(const MR_Vector3f *leftNorm, const MR_Vector3f *rightNorm);

MRC_API double MR_dihedralAngleCos_double(const MR_Vector3d *leftNorm, const MR_Vector3d *rightNorm);

MRC_API float MR_dihedralAngle_float(const MR_Vector3f *leftNorm, const MR_Vector3f *rightNorm, const MR_Vector3f *edgeVec);

MRC_API double MR_dihedralAngle_double(const MR_Vector3d *leftNorm, const MR_Vector3d *rightNorm, const MR_Vector3d *edgeVec);

MRC_API MR_std_optional_MR_Vector2f *MR_posFromTriEdgeLengths_float(float a, float b, float c);

MRC_API MR_std_optional_MR_Vector2d *MR_posFromTriEdgeLengths_double(double a, double b, double c);

MRC_API MR_std_optional_float *MR_quadrangleOtherDiagonal_float(float a, float b, float c, float a1, float b1);

MRC_API MR_std_optional_double *MR_quadrangleOtherDiagonal_double(double a, double b, double c, double a1, double b1);

MRC_API float MR_tanSqOfHalfAngle_float(float a, float b, float c);

MRC_API double MR_tanSqOfHalfAngle_double(double a, double b, double c);

MRC_API float MR_cotan_float_2(const MR_std_array_MR_Vector3f_3 *t, const float *absMaxVal);

MRC_API double MR_cotan_double_2(const MR_std_array_MR_Vector3d_3 *t, const double *absMaxVal);

MRC_API float MR_cotan_float_3(float a, float b, float c);

MRC_API double MR_cotan_double_3(double a, double b, double c);

MRC_API MR_std_optional_MR_Vector3f *MR_gradientInTri_float_4(const MR_Vector3f *b, const MR_Vector3f *c, float vb, float vc);

MRC_API MR_std_optional_MR_Vector3d *MR_gradientInTri_double_4(const MR_Vector3d *b, const MR_Vector3d *c, double vb, double vc);

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);

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 0BC, where gradient of linear scalar field is given;
// computes the intersection of the ray (org=0, dir=-grad) with the open line segment BC
MRC_API MR_std_optional_float *MR_findTriExitPos_float(const MR_Vector3f *b, const MR_Vector3f *c, const MR_Vector3f *grad);
 
// consider triangle 0BC, where gradient of linear scalar field is given;
// computes the intersection of the ray (org=0, dir=-grad) with the open line segment BC
MRC_API MR_std_optional_double *MR_findTriExitPos_double(const MR_Vector3d *b, const MR_Vector3d *c, const MR_Vector3d *grad);

MRC_API MR_std_optional_MR_Vector3f *MR_tangentPlaneNormalToSpheres_float(const MR_Vector3f *b, const MR_Vector3f *c, float rb, float rc);

MRC_API MR_std_optional_MR_Vector3d *MR_tangentPlaneNormalToSpheres_double(const MR_Vector3d *b, const MR_Vector3d *c, double rb, double rc);

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);

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);
 
#ifdef __cplusplus
} // extern "C"
#endif