maia::filter::slope::detail_ Namespace Reference

Functions
template<typename T , typename F >
T	f2way (const T a, const T b, const T c, const T d, const T x, F &&f)
	Auxiliary function to create two-way slope filters. More...
template<MInt nDim, typename T , typename F >
T	fbox (const T *const boxmin, const T *const boxmax, const T width, const T *const x, F &&f)
	Auxiliary function to create a box slope filter (constant slope width) More...
template<MInt nDim, typename T , typename F >
T	fmultibox (const T *const boxmin, const T *const boxmax, const T *const width, const T *const x, F &&f)
	Auxiliary function to create a box slope filter (variable slope width) More...
template<MInt nDim, typename T , typename F >
T	fsphere (const T *const center, const T radius, const T width, const T *const x, F &&f)
	Auxiliary function to create a sphere slope filter. More...

Function Documentation

f2way()

template<typename T , typename F >

T maia::filter::slope::detail_::f2way	(	const T	a,
		const T	b,
		const T	c,
		const T	d,
		const T	x,
		F &&	f
	)

Definition at line 27 of file filter.h.

                                                                      {
  if(x < c) {
    return f(a, b, x);
  } else {
    return 1.0 - f(c, d, x);
  }
}

fbox()

template<MInt nDim, typename T , typename F >

T maia::filter::slope::detail_::fbox	(	const T *const	boxmin,
		const T *const	boxmax,
		const T	width,
		const T *const	x,
		F &&	f
	)

Definition at line 37 of file filter.h.

                                                                                             {
  T r = 0.0;
  for(MInt i = 0; i < nDim; i++) {
    if(boxmin[i] - x[i] > 0.0) {
      r += (boxmin[i] - x[i]) * (boxmin[i] - x[i]);
    } else if(x[i] - boxmax[i] > 0.0) {
      r += (x[i] - boxmax[i]) * (x[i] - boxmax[i]);
    }
  }
  return 1.0 - f(0.0, width, std::sqrt(r));
}

fmultibox()

template<MInt nDim, typename T , typename F >

T maia::filter::slope::detail_::fmultibox	(	const T *const	boxmin,
		const T *const	boxmax,
		const T *const	width,
		const T *const	x,
		F &&	f
	)

Definition at line 51 of file filter.h.

                                                                                                         {
  T filter = 1.0;
  for(MInt i = 0; i < nDim; i++) {
    filter *= f2way(boxmin[i] - width[2 * i], boxmin[i], boxmax[i], boxmax[i] + width[2 * i + 1], x[i], f);
  }
  return filter;
}

fsphere()

template<MInt nDim, typename T , typename F >

T maia::filter::slope::detail_::fsphere	(	const T *const	center,
		const T	radius,
		const T	width,
		const T *const	x,
		F &&	f
	)

Definition at line 61 of file filter.h.

                                                                                         {
  T r = 0.0;
  for(MInt i = 0; i < nDim; i++) {
    r += (x[i] - center[i]) * (x[i] - center[i]);
  }
  return 1.0 - f(0.0, width, std::sqrt(r) - radius);
}