LinearGridInterpolator3D Class Reference

#include <LinearGridInterpolator3D.h>

Public Types
typedef ValueType	ReturnType
typedef Grid3D::Scalar	Scalar
typedef Grid3D::ValueType	ValueType

Public Member Functions
ReturnType	interpolate (Scalar a, Scalar b, Scalar c)
	LinearGridInterpolator3D (const Grid3D &g)
void	throwGridInterpolator3DException (void)

Private Attributes
const Grid3D &	grid
const Grid1D &	grida
const Grid1D &	gridb
const Grid1D &	gridc

Detailed Description

Linear interpolation in a regular 3D grid.

Author

T. Todorov

Definition at line 22 of file LinearGridInterpolator3D.h.

Member Typedef Documentation

ReturnType

typedef ValueType LinearGridInterpolator3D::ReturnType

Definition at line 26 of file LinearGridInterpolator3D.h.

Scalar

typedef Grid3D::Scalar LinearGridInterpolator3D::Scalar

Definition at line 25 of file LinearGridInterpolator3D.h.

ValueType

typedef Grid3D::ValueType LinearGridInterpolator3D::ValueType

Definition at line 24 of file LinearGridInterpolator3D.h.

Constructor & Destructor Documentation

LinearGridInterpolator3D()

LinearGridInterpolator3D::LinearGridInterpolator3D ( const Grid3D &  g )

inline

Definition at line 28 of file LinearGridInterpolator3D.h.

: grid(g), grida(g.grida()), gridb(g.gridb()), gridc(g.gridc()) {}

Member Function Documentation

interpolate()

LinearGridInterpolator3D::ValueType LinearGridInterpolator3D::interpolate	(	Scalar	a,
		Scalar	b,
		Scalar	c
	)

Definition at line 11 of file LinearGridInterpolator3D.cc.

References a, b, HltBtagPostValidation_cff::c, gather_cfg::cout, InterpolationDebug::debug, f, grid, grida, gridb, gridc, mps_fire::i, Grid1D::index(), Grid3D::index(), dqmiolumiharvest::j, dqmdumpme::k, Grid1D::node(), Grid1D::nodes(), Grid1D::normalize(), mps_fire::result, alignCSCRings::s, Grid3D::stride1(), Grid3D::stride2(), Grid3D::stride3(), submitPVValidationJobs::t, and findQualityFiles::v.

Referenced by grid3d_t(), RectangularCartesianMFGrid::uncheckedValueInTesla(), RectangularCylindricalMFGrid::uncheckedValueInTesla(), TrapezoidalCylindricalMFGrid::uncheckedValueInTesla(), TrapezoidalCartesianMFGrid::uncheckedValueInTesla(), and SpecialCylindricalMFGrid::uncheckedValueInTesla().

                                                                                                    {
  /*
  int i = grida.index(a);
  int j = gridb.index(b);
  int k = gridc.index(c);

  if (i==-1 || j==-1 || k==-1) {
    // point outside of grid validity!
    throwGridInterpolator3DException();
  }


  Scalar s = (a - grida.node(i)) / grida.step();
  Scalar t = (b - gridb.node(j)) / gridb.step();
  Scalar u = (c - gridc.node(k)) / gridc.step();

  */

  Scalar s, t, u;
  int i = grida.index(a, s);
  int j = gridb.index(b, t);
  int k = gridc.index(c, u);

  // test range??

  grida.normalize(i, s);
  gridb.normalize(j, t);
  gridc.normalize(k, u);

#ifdef DEBUG_LinearGridInterpolator3D
  if (InterpolationDebug::debug) {
    using std::cout;
    using std::endl;
    cout << "LinearGridInterpolator3D called with a,b,c " << a << "," << b << "," << c << endl;
    cout << " i,j,k = " << i << "," << j << "," << k << " s,t,u = " << s << "," << t << "," << u << endl;
    cout << "Node positions for " << i << "," << j << "," << k << " : " << grida.node(i) << "," << gridb.node(j) << ","
         << gridc.node(k) << endl;
    cout << "Node positions for " << i + 1 << "," << j + 1 << "," << k + 1 << " : " << grida.node(i + 1) << ","
         << gridb.node(j + 1) << "," << gridc.node(k + 1) << endl;
    cout << "Grid(" << i << "," << j << "," << k << ") = " << grid(i, j, k) << " ";
    cout << "Grid(" << i << "," << j << "," << k + 1 << ") = " << grid(i, j, k + 1) << endl;
    cout << "Grid(" << i << "," << j + 1 << "," << k << ") = " << grid(i, j + 1, k) << " ";
    cout << "Grid(" << i << "," << j + 1 << "," << k + 1 << ") = " << grid(i, j + 1, k + 1) << endl;
    cout << "Grid(" << i + 1 << "," << j << "," << k << ") = " << grid(i + 1, j, k) << " ";
    cout << "Grid(" << i + 1 << "," << j << "," << k + 1 << ") = " << grid(i + 1, j, k + 1) << endl;
    cout << "Grid(" << i + 1 << "," << j + 1 << "," << k << ") = " << grid(i + 1, j + 1, k) << " ";
    cout << "Grid(" << i + 1 << "," << j + 1 << "," << k + 1 << ") = " << grid(i + 1, j + 1, k + 1) << endl;
    cout << "number of nodes: " << grida.nodes() << "," << gridb.nodes() << "," << gridc.nodes() << endl;

    //     cout << (1-s)*(1-t)*(1-u)*grid(i,  j,  k) << " " << (1-s)*(1-t)*u*grid(i,  j,  k+1) << endl
    //       << (1-s)*   t *(1-u)*grid(i,  j+1,k) << " " << (1-s)*   t *u*grid(i,  j+1,k+1) << endl
    //       << s    *(1-t)*(1-u)*grid(i+1,j,  k) << " " <<  s    *(1-t)*u*grid(i+1,j,  k+1) << endl
    //       << s    *   t *(1-u)*grid(i+1,j+1,k) << " " << s    *   t *u*grid(i+1,j+1,k+1) << endl;
  }

#endif

  int ind = grid.index(i, j, k);
  int s1 = grid.stride1();
  int s2 = grid.stride2();
  int s3 = grid.stride3();
  //chances are this is more numerically precise this way

  // this code for test to check  properly inline of wrapped math...
#if defined(CMS_TEST_RAWSSE)

  __m128 resultSIMD =
      _mm_mul_ps(_mm_set1_ps((1.f - s) * (1.f - t) * u), _mm_sub_ps(grid(ind + s3).v.vec, grid(ind).v.vec));
  resultSIMD = _mm_add_ps(
      resultSIMD,
      _mm_mul_ps(_mm_set1_ps((1.f - s) * t * u), _mm_sub_ps(grid(ind + s2 + s3).v.vec, grid(ind + s2).v.vec)));
  resultSIMD = _mm_add_ps(
      resultSIMD,
      _mm_mul_ps(_mm_set1_ps(s * (1.f - t) * u), _mm_sub_ps(grid(ind + s1 + s3).v.vec, grid(ind + s1).v.vec)));
  resultSIMD = _mm_add_ps(
      resultSIMD,
      _mm_mul_ps(_mm_set1_ps(s * t * u), _mm_sub_ps(grid(ind + s1 + s2 + s3).v.vec, grid(ind + s1 + s2).v.vec)));
  resultSIMD =
      _mm_add_ps(resultSIMD, _mm_mul_ps(_mm_set1_ps((1.f - s) * t), _mm_sub_ps(grid(ind + s2).v.vec, grid(ind).v.vec)));
  resultSIMD = _mm_add_ps(resultSIMD,
                          _mm_mul_ps(_mm_set1_ps(s * t), _mm_sub_ps(grid(ind + s1 + s2).v.vec, grid(ind + s1).v.vec)));
  resultSIMD = _mm_add_ps(resultSIMD, _mm_mul_ps(_mm_set1_ps(s), _mm_sub_ps(grid(ind + s1).v.vec, grid(ind).v.vec)));
  resultSIMD = _mm_add_ps(resultSIMD, grid(ind).v.vec);

  ValueType result;
  result.v = resultSIMD;

#else

  ValueType result = ((1.f - s) * (1.f - t) * u) * (grid(ind + s3) - grid(ind));
  result = result + ((1.f - s) * t * u) * (grid(ind + s2 + s3) - grid(ind + s2));
  result = result + (s * (1.f - t) * u) * (grid(ind + s1 + s3) - grid(ind + s1));
  result = result + (s * t * u) * (grid(ind + s1 + s2 + s3) - grid(ind + s1 + s2));
  result = result + ((1.f - s) * t) * (grid(ind + s2) - grid(ind));
  result = result + (s * t) * (grid(ind + s1 + s2) - grid(ind + s1));
  result = result + (s) * (grid(ind + s1) - grid(ind));
  result = result + grid(ind);

#endif

  //      (1-s)*(1-t)*(1-u)*grid(i,  j,  k) + (1-s)*(1-t)*u*grid(i,  j,  k+1) +
  //      (1-s)*   t *(1-u)*grid(i,  j+1,k) + (1-s)*   t *u*grid(i,  j+1,k+1) +
  //      s    *(1-t)*(1-u)*grid(i+1,j,  k) + s    *(1-t)*u*grid(i+1,j,  k+1) +
  //      s    *   t *(1-u)*grid(i+1,j+1,k) + s    *   t *u*grid(i+1,j+1,k+1);

  return result;
}

throwGridInterpolator3DException()

void LinearGridInterpolator3D::throwGridInterpolator3DException

(

void

)

Definition at line 6 of file LinearGridInterpolator3D.cc.

References grida, gridb, gridc, Grid1D::lower(), and Grid1D::upper().

                                                                    {
  throw GridInterpolator3DException(
      grida.lower(), gridb.lower(), gridc.lower(), grida.upper(), gridb.upper(), gridc.upper());
}

Member Data Documentation

grid

const Grid3D& LinearGridInterpolator3D::grid

private

Definition at line 36 of file LinearGridInterpolator3D.h.

Referenced by interpolate().

grida

const Grid1D& LinearGridInterpolator3D::grida

private

Definition at line 37 of file LinearGridInterpolator3D.h.

Referenced by interpolate(), and throwGridInterpolator3DException().

gridb

const Grid1D& LinearGridInterpolator3D::gridb

private

Definition at line 38 of file LinearGridInterpolator3D.h.

Referenced by interpolate(), and throwGridInterpolator3DException().

gridc

const Grid1D& LinearGridInterpolator3D::gridc

private

Definition at line 39 of file LinearGridInterpolator3D.h.

Referenced by interpolate(), and throwGridInterpolator3DException().