sb-of-sb.cpp File Reference

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Functions
SBasis	toSBasis (SBasisOf< double > const &f)
SBasisOf< double >	toSBasisOfDouble (SBasis const &f)
SBasis	toSBasis (SBasisDim< 1 > f)
template<unsigned dim_f, unsigned dim_g>
SBasisDim< dim_g >	compose (SBasisDim< dim_f > const &f, std::vector< SBasisDim< dim_g > > const &g)
template<typename T >
SBasisOf< T >	multi_compose (SBasisOf< double > const &f, SBasisOf< T > const &g)
SBasisOf< double >	compose (SBasisOf< SBasisOf< double > > const &f, SBasisOf< double > const &x, SBasisOf< double > const &y)
SBasisOf< double >	compose (SBasisOf< SBasisOf< double > > const &f, D2< SBasisOf< double > > const &X)
SBasisOf< double >	compose (SBasisOf< SBasisOf< double > > const &f, D2< SBasis > const &X)
static SBasisOf< double >	eval_dim (SBasisOf< SBasisOf< double > > const &f, double t, unsigned dim)
void	plot3d (cairo_t *cr, SBasis const &x, SBasis const &y, SBasis const &z, Frame frame)
void	plot3d (cairo_t *cr, SBasis const &x, SBasis const &y, SBasisOf< double > const &z, Frame frame)
void	plot3d (cairo_t *cr, Piecewise< SBasis > const &x, Piecewise< SBasis > const &y, Piecewise< SBasis > const &z, Frame frame)
void	plot3d (cairo_t *cr, SBasisOf< SBasisOf< double > > const &f, Frame frame)
SBasisOf< SBasisOf< double > >	integral (SBasisOf< SBasisOf< double > > const &f, unsigned var)
Piecewise< SBasis >	convole (SBasisOf< double > const &f, Interval dom_f, SBasisOf< double > const &g, Interval dom_g)
template<typename T >
SBasisOf< T >	subderivative (SBasisOf< T > const &f)
OptInterval	bounds_fast (SBasisOf< double > const &f)
D2< SBasis >	sbofsb_cubic_solve (SBasisOf< SBasisOf< double > > const &f, Geom::Point const &A, Geom::Point const &B)
	Finds a path which traces the 0 contour of f, traversing from A to B as a single cubic d2<sbasis>.
int	main (int argc, char **argv)

Function Documentation

bounds_fast()

OptInterval bounds_fast

(

SBasisOf< double > const &

f

)

Definition at line 295 of file sb-of-sb.cpp.

References Geom::bounds_fast(), and Geom::toSBasis().

Referenced by wrap_bounds_fast().

compose() [1/4]

template<unsigned dim_f, unsigned dim_g>

SBasisDim< dim_g > compose	(	SBasisDim< dim_f > const &	f,
		std::vector< SBasisDim< dim_g > > const &	g
	)

Definition at line 81 of file sb-of-sb.cpp.

References Geom::compose(), and Geom::multiply().

compose() [2/4]

SBasisOf< double > compose	(	SBasisOf< SBasisOf< double > > const &	f,
		D2< SBasis > const &	X
	)

Definition at line 135 of file sb-of-sb.cpp.

References Geom::compose(), toSBasisOfDouble(), and Geom::X.

compose() [3/4]

SBasisOf< double > compose	(	SBasisOf< SBasisOf< double > > const &	f,
		D2< SBasisOf< double > > const &	X
	)

Definition at line 130 of file sb-of-sb.cpp.

References Geom::compose(), and Geom::X.

compose() [4/4]

SBasisOf< double > compose	(	SBasisOf< SBasisOf< double > > const &	f,
		SBasisOf< double > const &	x,
		SBasisOf< double > const &	y
	)

Definition at line 117 of file sb-of-sb.cpp.

References Geom::compose(), and Geom::multiply().

convole()

Piecewise< SBasis > convole	(	SBasisOf< double > const &	f,
		Interval	dom_f,
		SBasisOf< double > const &	g,
		Interval	dom_g
	)

Definition at line 244 of file sb-of-sb.cpp.

References Geom::compose(), convole(), Geom::Piecewise< T >::cuts, Geom::GenericInterval< C >::extent(), Geom::integral(), Geom::GenericInterval< C >::max(), Geom::GenericInterval< C >::min(), multi_compose(), result, and Geom::toSBasis().

Referenced by convole().

eval_dim()

static SBasisOf< double > eval_dim ( SBasisOf< SBasisOf< double > > const &  f, double  t, unsigned  dim  )

static

Definition at line 158 of file sb-of-sb.cpp.

References result, and Geom::SBasisOf< T >::valueAt().

Referenced by plot3d().

integral()

SBasisOf< SBasisOf< double > > integral	(	SBasisOf< SBasisOf< double > > const &	f,
		unsigned	var
	)

Definition at line 234 of file sb-of-sb.cpp.

References Geom::integral(), and result.

main()

int main	(	int	argc,
		char **	argv
	)

Definition at line 464 of file sb-of-sb.cpp.

References init().

multi_compose()

template<typename T >

SBasisOf< T > multi_compose	(	SBasisOf< double > const &	f,
		SBasisOf< T > const &	g
	)

Definition at line 103 of file sb-of-sb.cpp.

References Geom::multiply().

Referenced by convole().

plot3d() [1/4]

void plot3d	(	cairo_t *	cr,
		Piecewise< SBasis > const &	x,
		Piecewise< SBasis > const &	y,
		Piecewise< SBasis > const &	z,
		Frame	frame
	)

Definition at line 210 of file sb-of-sb.cpp.

References Geom::Piecewise< T >::cuts, plot3d(), and Geom::Piecewise< T >::size().

plot3d() [2/4]

void plot3d	(	cairo_t *	cr,
		SBasis const &	x,
		SBasis const &	y,
		SBasis const &	z,
		Frame	frame
	)

Definition at line 191 of file sb-of-sb.cpp.

References cairo_d2_sb().

Referenced by plot3d(), and plot3d().

plot3d() [3/4]

void plot3d	(	cairo_t *	cr,
		SBasis const &	x,
		SBasis const &	y,
		SBasisOf< double > const &	z,
		Frame	frame
	)

Definition at line 200 of file sb-of-sb.cpp.

References cairo_d2_sb(), and Geom::toSBasis().

plot3d() [4/4]

void plot3d	(	cairo_t *	cr,
		SBasisOf< SBasisOf< double > > const &	f,
		Frame	frame
	)

Definition at line 226 of file sb-of-sb.cpp.

References eval_dim(), and plot3d().

sbofsb_cubic_solve()

D2< SBasis > sbofsb_cubic_solve	(	SBasisOf< SBasisOf< double > > const &	f,
		Geom::Point const &	A,
		Geom::Point const &	B
	)

Finds a path which traces the 0 contour of f, traversing from A to B as a single cubic d2<sbasis>.

The algorithm is based on matching direction and curvature at each end point.

Definition at line 306 of file sb-of-sb.cpp.

References bounds, Geom::bounds_fast(), Geom::compose(), Geom::cubics_fitting_curvature(), Geom::derivative(), Geom::GenericRect< C >::max(), Geom::GenericRect< C >::min(), result, Geom::rot90(), subderivative(), Geom::SBasisOf< T >::valueAt(), Geom::X, and Geom::Y.

subderivative()

template<typename T >

SBasisOf< T > subderivative

(

SBasisOf< T > const &

f

)

Definition at line 287 of file sb-of-sb.cpp.

References Geom::derivative().

Referenced by sbofsb_cubic_solve().

toSBasis() [1/2]

SBasis toSBasis

(

SBasisDim< 1 >

f

)

Definition at line 72 of file sb-of-sb.cpp.

References result.

toSBasis() [2/2]

SBasis toSBasis

(

SBasisOf< double > const &

f

)

Definition at line 15 of file sb-of-sb.cpp.

References result.

toSBasisOfDouble()

SBasisOf< double > toSBasisOfDouble

(

SBasis const &

f

)

Definition at line 22 of file sb-of-sb.cpp.

References result.

Referenced by compose().