Constants and variables. More...

#include <math_define.h>
#include <tool_uuid.h>
#include <tool_mutex.h>
#include <iostream>

Classes
class	Math
	Common static data of algorithms and functions. More...

Namespaces
	c3d
	C3D namespace declaration.

Enumerations
Assert violation notification.
enum	c3d::eAssertViolationNotify { c3d::avn_Mute , c3d::avn_CERR , c3d::avn_ASSERT }

Functions
size_t	GetC3dVersionInfo (char *const buffer, size_t bufferSize)
	Get information about the c3d file version. More...

size_t	GetC3dBuildInfo (char *const buffer, size_t bufferSize)
	Get information about the c3d file build option. More...

std::string	GetC3dLibInfo (bool needVersionInfo=true)
	Get information about the c3d file. More...

Variables
constexpr double	c3d::METRIC_PORTION = 0.075
	Proportion of distance between control points.

constexpr double	c3d::METRIC_DELTA = 0.05
	Metric offset.

constexpr double	c3d::PARAM_DELTA_MIN = 0.005
	Minimal portion of parameter increment.

constexpr double	c3d::PARAM_DELTA_MAX = 1.0
	Maximal portion of parameter increment.

constexpr double	c3d::MIN_LENGTH = 1.0E-4
	Minimal object length.

constexpr double	c3d::MAX_LENGTH = 5.0E+7
	Maximal object length.

constexpr double	c3d::MIN_RADIUS = 1.0E-4
	Minimal object radius.

constexpr double	c3d::MAX_RADIUS = 2.5E+7
	Maximal object radius.

constexpr double	c3d::DELTA_MIN = 1E-3
	Reduction factor.

constexpr double	c3d::DELTA_MID = 1E-2
	Reduction factor.

constexpr double	c3d::DELTA_MOD = 1E-1
	Reduction factor.

constexpr double	c3d::DELTA_MAX = 1E+3
	Magnification factor.

constexpr double	c3d::POWER_1 = 1E+1
	Magnification factor.

constexpr double	c3d::POWER_2 = 1E+2
	Magnification factor.

constexpr double	c3d::POWER_3 = 1E+3
	Magnification factor.

constexpr double	c3d::POWER_4 = 1E+4
	Magnification factor.

constexpr double	c3d::POWER_5 = 1E+5
	Magnification factor.

constexpr double	c3d::ONE_THIRD = 0.33333333333333333333
	1/3.

constexpr double	c3d::TWO_THIRD = 0.66666666666666666666
	2/3.

constexpr double	c3d::ONE_SIXTH = 0.166666666666666666667
	1/6.

constexpr double	c3d::ONE_FIFTH = 0.2
	1/5.

constexpr double	c3d::TWO_FIFTH = 0.4
	2/5.

constexpr double	c3d::ONE_QUARTER = 0.25
	1/4.

constexpr double	c3d::ONE_HALF = 0.5
	1/2.

constexpr double	c3d::ONE_SEVENTH = 0.14285714285714285714
	1/7.

constexpr double	c3d::ONE_EIGHTH = 0.125
	1/8.

constexpr double	c3d::_CONIC_MIN_ = 0.05
	Minimum factor of smooth surface section completeness (0.5 for parabola, less for ellipse).

constexpr double	c3d::_CONIC_MAX_ = 0.95
	Maximum factor of smooth surface section completeness (0.5 for parabola, greater for hyperbola).

constexpr double	c3d::_ARC_ = 0.0
	Factor of smooth surface section completeness in case of u = const corresponds to circle arc.

constexpr int32	c3d::TEN = 10
	Number 10.

constexpr int32	c3d::TWENTY = 20
	Number 20.

constexpr int32	c3d::TESSERA_MAX = 4000
	Maximum count of cell in rows and columns for triangulation grid.

constexpr int32	c3d::COUNT_MAX = 512
	Magnification factor.

constexpr int32	c3d::COUNT_MID = 256
	Magnification factor.

constexpr int32	c3d::COUNT_MIN = 128
	Magnification factor.

constexpr int32	c3d::COUNT_BIN = 64
	Inclusion level.

constexpr int32	c3d::WIRE_MAX = 256
	The maximum number of mesh lines.

constexpr int32	c3d::ITERATE_COUNT = 16
	Number of approximations in iterative method.

constexpr int32	c3d::ITERATE_LIMIT = 32
	Count of iterations for construction of tangent circles.

constexpr int32	c3d::NEWTON_COUNT = 8
	Number of approximations in iterative method.

constexpr int32	c3d::NEWTON_COUNT_2X = 16
	Number of approximations in iterative method.

constexpr int32	c3d::NEWTON_COUNT_3X = 24
	Number of approximations in iterative method.

constexpr int32	c3d::NEWTON_COUNT_4X = 32
	Number of approximations in iterative method.

constexpr int32	c3d::NEWTON_COUNT_8X = 64
	Number of approximations in iterative method.

constexpr int32	c3d::LIMIT_COUNT = 4
	Number of approximations in iterative method.

constexpr int32	c3d::COUNT_DELTA = 10
	Reduction or magnification factor.

constexpr int32	c3d::COUNT_DELTA_2X = 20
	Reduction or magnification factor.

constexpr int32	c3d::ITEMS_COUNT = 12
	Number of points in step method.

constexpr int32	c3d::BEZIER_DEGREE = 4
	Default degree of Bezier-spline.

constexpr int32	c3d::NURBS_DEGREE = 4
	Degree of NURBS.

constexpr int32	c3d::NURBS_POINTS_COUNT = 6
	Default number of points for NURBS direct editing.

constexpr int32	c3d::NURBS_POINTS_MAX_COUNT = 100
	Default maximum number of points for NURBS direct editing.

constexpr int32	c3d::APPROX_POINTS_MUL_COEFF = 3
	Factor of points count incrementing in method of least squares.

constexpr int32	c3d::SPACE_DIM = 3
	Dimension of 3D space.

constexpr int32	c3d::TRT_FREE = 0
	No conjugation.

constexpr int32	c3d::TRT_TANGENT = 1
	Tangent conjugation.

constexpr int32	c3d::TRT_NORMAL = 2
	Normal conjugation.

Common constants
constexpr double	MB_INFINITY = std::numeric_limits<double>::infinity()
	Value representing infinity for double.

constexpr double	MB_QNAN = std::numeric_limits<double>::quiet_NaN()
	Quiet Not-A-Number.

constexpr double	MB_MAXDOUBLE = 1.0E+300
	Maximum value of double 1.7976931348623158E+308.

constexpr double	MB_MINDOUBLE = 1.0E-300
	Minimum value of double 2.2250738585072014E-308.

constexpr double	M_E = 2.71828182845904523536
	Exponent.

constexpr double	M_LOG2E = 1.44269504088896340736
	Logarithm M_E to base 2.

constexpr double	M_LOG10E = 0.434294481903251827651
	Logarithm M_E to base 10.

constexpr double	M_LN2 = 0.693147180559945309417
	Natural logarithm 2.

constexpr double	M_PI_4 = 0.785398163397448309616
	M_PI / 4.0.

constexpr double	M_1_PI = 0.318309886183790671538
	1.0 / M_PI

constexpr double	M_2_PI = 0.636619772367581343076
	2.0 / M_PI

constexpr double	M_SQRT1_2 = 0.707106781186547524401
	Root of one half, sqrt(1/2).

constexpr double	M_LN10 = 2.30258509299404568402
	Natural logarithm 10, ln(10).

constexpr double	M_PI = 3.14159265358979323846
	Relation between circle length and its diameter, pi.

constexpr double	M_PI_2 = 1.57079632679489661923
	M_PI / 2.0.

constexpr double	M_2_SQRTPI = 1.12837916709551257390
	Two divided by root of pi, 2/sqrt(pi).

constexpr double	M_SQRT2 = 1.41421356237309504880
	Root of two, sqrt(2).

constexpr double	M_1_SQRTPI = 0.564189583547756286948
	One divided by root of pi, 1/sqrt(pi).

constexpr double	M_FI = 1.61803398874989484
	Golden ratio, 1/M_FI = 0.6180339887499.

constexpr double	MM_INCH = 25.4
	Millimeters per inch.

constexpr double	EPSILON = 1E-10
	Tolerance.

constexpr double	MAXIMON = 1E+10
	10 to the power of 10.

constexpr double	MAX_OVERALL_DIM = 1E+12
	Maximal value of bounding box.

constexpr double	DETERMINANT_MAX = 1E+137
	Maximal value.

constexpr double	DETERMINANT_MIN = 1E-171
	Minimal value.

constexpr double	NULL_EPSILON = 1E-30
	Tolerance for equality to zero.

constexpr double	NULL_REGION = 1E-20
	Tolerance for equality to zero.

constexpr double	DOUBLE_EPSILON = 1E-16
	Tolerance.

constexpr double	DOUBLE_REGION = 1E-15
	Tolerance.

constexpr double	EXTENT_EQUAL = 1E-14
	Tolerance.

constexpr double	EXTENT_EPSILON = 1E-12
	Tolerance.

constexpr double	EXTENT_REGION = 1E-11
	Tolerance.

constexpr double	LENGTH_EPSILON = 1E-10
	Tolerance for length.

constexpr double	LENGTH_REGION = 1E-9
	Tolerance for region.

constexpr double	METRIC_EPSILON = 1E-8
	Tolerance for distance in iterative functions.

constexpr double	METRIC_REGION = 1E-7
	Indistinguishable metric region.

constexpr double	METRIC_PRECISION = 1E-6
	Metric tolerance.

constexpr double	METRIC_ACCURACY = 1E-5
	The largest metric tolerance (absolute tolerance expressed in mm ("size" of atom is 5e-8 mm)).

constexpr double	METRIC_NEAR = 1E-4
	Metric proximity tolerance.

constexpr double	PARAM_EPSILON = 1E-8
	Tolerance for parameter in iterative functions.

constexpr double	PARAM_REGION = 1E-7
	Indistinguishable parametric region.

constexpr double	PARAM_PRECISION = 1E-6
	Parametric tolerance.

constexpr double	PARAM_ACCURACY = 1E-5
	The largest parametric tolerance.

constexpr double	PARAM_NEAR = 1E-4
	Parametric proximity.

constexpr ptrdiff_t	UNDEFINED_INT_T = SYS_MIN_ST
	Undefined int.

constexpr size_t	FAIR_MAX_DEGREE = 11
	Maxinum degree of the NURBS approximation.

constexpr double	M_PI2 = M_PI * 2.0
	Relation between circle length and its radius, 2.0 * M_PI, 6.28318530717958647692.

constexpr double	M_DEGRAD = M_PI / 180.0
	Factor of conversion from degrees to radians.

constexpr double	M_RADDEG = 180.0 / M_PI
	Factor of conversion from radians to degrees.

constexpr double	UNDEFINED_DBL = -MB_MAXDOUBLE
	Undefined double.

constexpr double	DEVIATION_SAG = M_PI * 0.04
	Angular tolerance.

constexpr double	ANGLE_EPSILON = PARAM_EPSILON * M_PI
	Angular tolerance.

constexpr double	ANGLE_REGION = ANGLE_EPSILON * 40
	Angular tolerance for equality of angles.

constexpr float	MB_AMBIENT = 0.4f
	Coefficient of backlighting.

constexpr float	MB_DIFFUSE = 0.7f
	Coefficient of diffuse reflection.

constexpr float	MB_SPECULARITY = 0.8f
	Coefficient of specular reflection.

constexpr float	MB_SHININESS = 50.0f
	Shininess (index according to the law of specular reflection).

constexpr float	MB_OPACITY = 1.0f
	Coefficient of total reflection (opacity coefficient).

constexpr float	MB_EMISSION = 0.0f
	Emissivity coefficient.

constexpr uint32	MB_DEFCOLOR = 0x7F7F7F
	Default color for import and export (grey).

constexpr uint32	MB_C3DCOLOR = 0xFF7F00
	Default color for geometric objects.

constexpr uint32	MB_AMBIENT_UINT32 = 0xFF666666
	Coefficient of backlighting (equivalent of MB_AMBIENT).

constexpr uint32	MB_SPECULARITY_UINT32 = 0xFFCCCCCC
	Coefficient of specular reflection (equivalent of MB_SPECULARITY).

constexpr uint32	MB_EMISSION_UINT32 = 0xFF000000
	Emissivity coefficient (equivalent of MB_SPECULARITY).

constexpr uint8	MB_OPACITY_UINT8 = 255
	Coefficient of total reflection (equivalent of MB_OPACITY).

constexpr uint8	MB_SHININESS_UINT8 = 50
	Shininess (index according to the law of specular reflection). Equivalent of MB_SHININESS.

constexpr uint8	MB_IDENTITY = 0x00
	Bit flags for matrix and local coordinate system. More...

constexpr uint8	MB_TRANSLATION = 0x01
	Translation.

constexpr uint8	MB_ROTATION = 0x02
	Rotation.

constexpr uint8	MB_SCALING = 0x04
	Scaling (factor is not equal to 1.0).

constexpr uint8	MB_REFLECTION = 0x08
	Reflection.

constexpr uint8	MB_LEFT = 0x08
	Reflection (left coordinate system attribute).

constexpr uint8	MB_ORTOGONAL = 0x10
	Orthogonality, is set up in case of affinity.

constexpr uint8	MB_AFFINE = 0x20
	Absence of orthogonality and normalization (affine transformation).

constexpr uint8	MB_PERSPECTIVE = 0x40
	Vector of perspective (non-zero).

constexpr uint8	MB_UNSET = 0x80
	Bit flags not set.

Detailed Description

Constants and variables.

Function Documentation

◆ GetC3dVersionInfo()

size_t GetC3dVersionInfo	(	char *const	buffer,
		size_t	bufferSize
	)

Get information about the c3d file version.

The function copies a string with information about the c3d file version to the specified buffer.

Parameters

[in]	buffer	- Pointer to the beginning of the buffer.
[in]	bufferSize	- The size of the buffer in characters.

Returns: Returns the number of copied characters, excluding the null character. If buffer = = nullptr returns the required buffer size without the null character. c3d.dll version information

◆ GetC3dBuildInfo()

size_t GetC3dBuildInfo	(	char *const	buffer,
		size_t	bufferSize
	)

Get information about the c3d file build option.

The function copies a string with information about the c3d file build option to the specified buffer.

Parameters

[in]	buffer	- Pointer to the beginning of the buffer.
[in]	bufferSize	- The size of the buffer in characters.

Returns: Returns the number of copied characters, excluding the null character. If buffer = = nullptr returns the required buffer size without the null character. c3d.dll building information

◆ GetC3dLibInfo()

std::string GetC3dLibInfo ( bool needVersionInfo = true )

inline

Get information about the c3d file.

This function is a wrapper for the GetC3dVersionInfo and GetC3dBuildInfo functions. Returns a string with information about the file version or build version of the file.

Parameters

[in] needVersionInfo - need Version Info == true - returns information about the file version, otherwise information about the file build option.

Returns: Returns a string with the requested information.

Variable Documentation

◆ MB_IDENTITY

constexpr uint8 MB_IDENTITY = 0x00

constexpr

Bit flags for matrix and local coordinate system.

Identity.

Classes

Namespaces

Enumerations

Functions

Variables

Detailed Description

Function Documentation

◆ GetC3dVersionInfo()

◆ GetC3dBuildInfo()

◆ GetC3dLibInfo()

Variable Documentation

◆ MB_IDENTITY