MGTolerance is a class to hold various tolerance data used in MGCL. [詳解]

公開メンバ関数
	~MGTolerance ()

int	stack_length () const
	Return currently used tolerance stack length. [詳解]

int	max_stack_size () const
	Return maximum tolerance stack size. [詳解]

int	dump_size () const
	Dump Functions. [詳解]

int	dump (MGOfstream &) const
	Dump Function. [詳解]

int	restore (MGIfstream &)
	Restore Function. [詳解]

静的公開メンバ関数
static MGTolerance &	instance ()
	Get the tolerance instance. [詳解]

static double	set_mach_zero (double)
	Update m_mach_zero. Returned is old mach_zero used so far. [詳解]

static double	set_wc_zero (double)
	Update m_wc_zero. Returned is old wc_zero used so far. [詳解]

static double	set_rc_zero (double)
	Update m_rc_zero. Returned is old rc_zero used so far. [詳解]

static double	set_angle_zero (double)
	Update m_angle_zero. Returned is old angle_zero used so far. [詳解]

static double	set_line_zero (double)
	Update m_line_zero. Returned is old line_zero used so far. [詳解]

static double	set_max_knot_ratio (double)
	Update m_max_knot_ratio. Returned is old max_knot_ratio used so far. [詳解]

static void	push ()
	Push all the tolerance to stack. [詳解]

static void	pop ()
	Pop all the tolerance from stack. [詳解]

static double	mach_zero ()
	Return machine zero. [詳解]

static double	wc_zero ()
	Return world zero. [詳解]

static double	wc_zero_sqr ()
	Return square of world zero. [詳解]

static double	rc_zero ()
	Return relative zero. [詳解]

static double	rc_zero_sqr ()
	Return square of relative zero. [詳解]

static double	angle_zero ()
	Return angle zero. [詳解]

static double	line_zero ()
	Return line zero. [詳解]

static double	max_knot_ratio ()
	Return maximum knot ratio. [詳解]

フレンド
MG_DLL_DECLR friend std::ostream &	operator<< (std::ostream &, const MGTolerance &)
	String stream function. デバッグ関数. [詳解]

MG_DLL_DECLR friend bool	MGMZero (double data)
	トレランスを考慮して与えられた double が 0 かどうか調べる. [詳解]

MG_DLL_DECLR friend bool	MGAEqual (double data1, double data2)
	トレランスを考慮して与えられた２つの double が一致するか調べる. [詳解]

MG_DLL_DECLR friend bool	MGAZero (double data)
	トレランスを考慮して与えられた値が０か調べる–—Absolute Version. [詳解]

MG_DLL_DECLR friend bool	MGREqual (double data1, double data2)
	Test if difference of two data is less than MGTolerance::rc_zero(). [詳解]

MG_DLL_DECLR friend bool	MGREqual2 (double data1, double data2)
	Test if difference of two data is less than MGTolerance::rc_zero(). [詳解]

MG_DLL_DECLR friend bool	MGREqual_base (double data1, double data2, double base_length)
	Test if difference of two data is equal. [詳解]

MG_DLL_DECLR friend bool	MGREqual_base (MGEReal data1, MGEReal data2, const MGEReal &base_length)

MG_DLL_DECLR friend bool	MGRZero (double data)
	Test if data is less or equal to rc_zero(). [詳解]

MG_DLL_DECLR friend bool	MGRZero2 (double data, double base_length)
	Test if data is less or equal to rc_zero() compared to base_length. [詳解]

MG_DLL_DECLR friend bool	MGRZero2 (double data, const MGEReal &base_length)

MG_DLL_DECLR friend bool	MGRight_angle (double cos_data)
	Test if angle is right from the value cos(angle). [詳解]

MG_DLL_DECLR friend bool	MGZero_angle (double data)
	Test if data is zero angle taking tolerance into account. [詳解]

詳解

MGTolerance is a class to hold various tolerance data used in MGCL.

Tolerances used are follows: (Out of these, wc_zero, line_zero are important. If not familiar, forget rc_zero, mach_zero, m_max_knot_ratio, and angle_zero. Defalut values will be OK.) (1) wc_zero(world coordinate zero value): Two points distance that should be regarded as coincidence in user's world coordinate. Typically, intersection of 2 curves are so computed that the i-points be within this tolerance. (2) line_zero(Line zero in world coordinates): Two curves distance that should be regarded as coincidence. line_zero>=wc_zero is recommended. (3) rc_zero(normalized relative coordinate zero): Two points distance that should be regarded as coincidence in normalized (0.,1.) space. This is used when the computation is ecexuted other than world coordinates, like in parameter space. Generally speaking, when the span of the world interedted is L, L*rc_zero=wc_zero. (4) angle_zero: Angle that should be regarded as zero angle in radian. Generally speaking, mgDBLPAI*rc_zero=angle_zero. (5) m_max_knot_ratio:Maximum ratio of neighboring two spans of a knot vector. This is used to stabilize the computation to solve linear equations for B-Spline coefficients. (6) mach_zero(machine zero): the smallest floating value to avoid exception of division zero.

構築子と解体子

MGTolerance::~MGTolerance ( )

関数詳解

static double MGTolerance::angle_zero ( )

inlinestatic

Return angle zero.

int MGTolerance::dump ( MGOfstream & ) const

Dump Function.

int MGTolerance::dump_size ( ) const

Dump Functions.

static MGTolerance& MGTolerance::instance ( )

static

Get the tolerance instance.

Returned is a singleton.

static double MGTolerance::line_zero ( )

inlinestatic

Return line zero.

static double MGTolerance::mach_zero ( )

inlinestatic

Return machine zero.

static double MGTolerance::max_knot_ratio ( )

inlinestatic

Return maximum knot ratio.

int MGTolerance::max_stack_size ( ) const

inline

Return maximum tolerance stack size.

static void MGTolerance::pop ( )

static

Pop all the tolerance from stack.

static void MGTolerance::push ( )

static

Push all the tolerance to stack.

static double MGTolerance::rc_zero ( )

inlinestatic

Return relative zero.

static double MGTolerance::rc_zero_sqr ( )

inlinestatic

Return square of relative zero.

int MGTolerance::restore ( MGIfstream & )

Restore Function.

static double MGTolerance::set_angle_zero ( double )

static

Update m_angle_zero. Returned is old angle_zero used so far.

m_angle_zeroを変更する。それまで使用されていたデータが返却される。

static double MGTolerance::set_line_zero ( double )

static

Update m_line_zero. Returned is old line_zero used so far.

m_line_zeroを変更する。それまで使用されていたデータが返却される.

static double MGTolerance::set_mach_zero ( double )

static

Update m_mach_zero. Returned is old mach_zero used so far.

m_mach_zeroを変更する。それまで使用されていたデータが返却される.

static double MGTolerance::set_max_knot_ratio ( double )

static

Update m_max_knot_ratio. Returned is old max_knot_ratio used so far.

m_max_knot_ratioを変更する。それまで使用されていたデータが返却される.

static double MGTolerance::set_rc_zero ( double )

static

Update m_rc_zero. Returned is old rc_zero used so far.

m_rc_zeroを変更する。それまで使用されていたデータが返却される。

static double MGTolerance::set_wc_zero ( double )

static

Update m_wc_zero. Returned is old wc_zero used so far.

m_wc_zeroを変更する。それまで使用されていたデータが返却される。

int MGTolerance::stack_length ( ) const

inline

Return currently used tolerance stack length.

static double MGTolerance::wc_zero ( )

inlinestatic

Return world zero.

static double MGTolerance::wc_zero_sqr ( )

inlinestatic

Return square of world zero.

フレンドと関連関数の詳解

MG_DLL_DECLR friend bool MGAEqual	(	double	data1,
		double	data2
	)

friend

トレランスを考慮して与えられた２つの double が一致するか調べる.

等しい時 true(non zero) を返却する--—Absolute Version. Test if two double is equal in world coordinate.

MG_DLL_DECLR friend bool MGAZero ( double data )

friend

トレランスを考慮して与えられた値が０か調べる–—Absolute Version.

Test if data is world coordinate zero.

MG_DLL_DECLR friend bool MGMZero ( double data )

friend

トレランスを考慮して与えられた double が 0 かどうか調べる.

Test if data is machine zero. Machine Zero version

MG_DLL_DECLR friend bool MGREqual	(	double	data1,
		double	data2
	)

friend

Test if difference of two data is less than MGTolerance::rc_zero().

MG_DLL_DECLR friend bool MGREqual2	(	double	data1,
		double	data2
	)

friend

Test if difference of two data is less than MGTolerance::rc_zero().

Test is performed after changing data1 and data2 proportionally for the bigger one to be 1.

MG_DLL_DECLR friend bool MGREqual_base	(	double	data1,
		double	data2,
		double	base_length
	)

friend

Test if difference of two data is equal.

Comparison is: test if abs(data1-data2)/base_length is less than MGTolerance::rc_zero().

MG_DLL_DECLR friend bool MGREqual_base	(	MGEReal	data1,
		MGEReal	data2,
		const MGEReal &	base_length
	)

friend

MG_DLL_DECLR friend bool MGRight_angle ( double cos_data )

friend

Test if angle is right from the value cos(angle).

角度のコサイン値を入力して，角度が直角か調べる。（トレランスを考慮する)

MG_DLL_DECLR friend bool MGRZero ( double data )

friend

Test if data is less or equal to rc_zero().

トレランスを考慮して与えられた値が０か調べる1--—Relative Version

MG_DLL_DECLR friend bool MGRZero2	(	double	data,
		double	base_length
	)

friend

Test if data is less or equal to rc_zero() compared to base_length.

トレランスを考慮して与えられた値が０か調べる2--—Relative Version Comparison is done after data and base_length are so changed that base_length is 1. If base_length is zero, MGRZero2 returns always false.

MG_DLL_DECLR friend bool MGRZero2	(	double	data,
		const MGEReal &	base_length
	)

friend

MG_DLL_DECLR friend bool MGZero_angle ( double data )

friend

Test if data is zero angle taking tolerance into account.

トレランスを考慮して与えられた角度(Radian) が０か調べる。 If data is small enough, data is almost equal to sin(data). This fact says we can use sine value instead of radian as data input.

MG_DLL_DECLR friend std::ostream& operator<<	(	std::ostream &	,
		const MGTolerance &
	)

friend

String stream function. デバッグ関数.

このクラス詳解は次のファイルから抽出されました:

mg/Tolerance.h

公開メンバ関数

静的公開メンバ関数

フレンド

詳解

構築子と解体子

関数詳解

フレンドと関連関数の詳解