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#include <VectorFieldInterpolation.h>
Public Member Functions | |
| void | defineCellPoint000 (double X1, double X2, double X3, double F1, double F2, double F3) |
| provide the interpolation algorithm with 8 points, where the field is known (in) | |
| void | defineCellPoint001 (double X1, double X2, double X3, double F1, double F2, double F3) |
| void | defineCellPoint010 (double X1, double X2, double X3, double F1, double F2, double F3) |
| void | defineCellPoint011 (double X1, double X2, double X3, double F1, double F2, double F3) |
| void | defineCellPoint100 (double X1, double X2, double X3, double F1, double F2, double F3) |
| void | defineCellPoint101 (double X1, double X2, double X3, double F1, double F2, double F3) |
| void | defineCellPoint110 (double X1, double X2, double X3, double F1, double F2, double F3) |
| void | defineCellPoint111 (double X1, double X2, double X3, double F1, double F2, double F3) |
| void | putSCoordGetVField (double X1, double X2, double X3, double &F1, double &F2, double &F3) |
| receive the interpolated field (out) at any point in space (in) | |
| VectorFieldInterpolation () | |
| ~VectorFieldInterpolation () | |
Private Attributes | |
| double | CellPoint000 [6] |
| double | CellPoint001 [6] |
| double | CellPoint010 [6] |
| double | CellPoint011 [6] |
| double | CellPoint100 [6] |
| double | CellPoint101 [6] |
| double | CellPoint110 [6] |
| double | CellPoint111 [6] |
| double | SC [3] |
| double | VF [3] |
linear interpolation of a field (3D) in space (3D)
Modifications: droll: change from float to double $date : 08/09/2003 18:35:10 CET $ droll: rename methods according to CMS coding rules $date : 22/09/2003 11:15:38 CET $
Definition at line 57 of file VectorFieldInterpolation.h.
| VectorFieldInterpolation::VectorFieldInterpolation | ( | ) | [inline] |
Definition at line 60 of file VectorFieldInterpolation.h.
{}
| VectorFieldInterpolation::~VectorFieldInterpolation | ( | ) | [inline] |
Definition at line 62 of file VectorFieldInterpolation.h.
{}
| void VectorFieldInterpolation::defineCellPoint000 | ( | double | X1, |
| double | X2, | ||
| double | X3, | ||
| double | F1, | ||
| double | F2, | ||
| double | F3 | ||
| ) |
provide the interpolation algorithm with 8 points, where the field is known (in)
Definition at line 5 of file VectorFieldInterpolation.cc.
References CellPoint000.
Referenced by MagneticFieldGrid::interpolateAtPoint().
{
CellPoint000[0] = X1;
CellPoint000[1] = X2;
CellPoint000[2] = X3;
CellPoint000[3] = F1;
CellPoint000[4] = F2;
CellPoint000[5] = F3;
return;
}
| void VectorFieldInterpolation::defineCellPoint001 | ( | double | X1, |
| double | X2, | ||
| double | X3, | ||
| double | F1, | ||
| double | F2, | ||
| double | F3 | ||
| ) |
Definition at line 49 of file VectorFieldInterpolation.cc.
References CellPoint001.
Referenced by MagneticFieldGrid::interpolateAtPoint().
{
CellPoint001[0] = X1;
CellPoint001[1] = X2;
CellPoint001[2] = X3;
CellPoint001[3] = F1;
CellPoint001[4] = F2;
CellPoint001[5] = F3;
return;
}
| void VectorFieldInterpolation::defineCellPoint010 | ( | double | X1, |
| double | X2, | ||
| double | X3, | ||
| double | F1, | ||
| double | F2, | ||
| double | F3 | ||
| ) |
Definition at line 27 of file VectorFieldInterpolation.cc.
References CellPoint010.
Referenced by MagneticFieldGrid::interpolateAtPoint().
{
CellPoint010[0] = X1;
CellPoint010[1] = X2;
CellPoint010[2] = X3;
CellPoint010[3] = F1;
CellPoint010[4] = F2;
CellPoint010[5] = F3;
return;
}
| void VectorFieldInterpolation::defineCellPoint011 | ( | double | X1, |
| double | X2, | ||
| double | X3, | ||
| double | F1, | ||
| double | F2, | ||
| double | F3 | ||
| ) |
Definition at line 71 of file VectorFieldInterpolation.cc.
References CellPoint011.
Referenced by MagneticFieldGrid::interpolateAtPoint().
{
CellPoint011[0] = X1;
CellPoint011[1] = X2;
CellPoint011[2] = X3;
CellPoint011[3] = F1;
CellPoint011[4] = F2;
CellPoint011[5] = F3;
return;
}
| void VectorFieldInterpolation::defineCellPoint100 | ( | double | X1, |
| double | X2, | ||
| double | X3, | ||
| double | F1, | ||
| double | F2, | ||
| double | F3 | ||
| ) |
Definition at line 16 of file VectorFieldInterpolation.cc.
References CellPoint100.
Referenced by MagneticFieldGrid::interpolateAtPoint().
{
CellPoint100[0] = X1;
CellPoint100[1] = X2;
CellPoint100[2] = X3;
CellPoint100[3] = F1;
CellPoint100[4] = F2;
CellPoint100[5] = F3;
return;
}
| void VectorFieldInterpolation::defineCellPoint101 | ( | double | X1, |
| double | X2, | ||
| double | X3, | ||
| double | F1, | ||
| double | F2, | ||
| double | F3 | ||
| ) |
Definition at line 60 of file VectorFieldInterpolation.cc.
References CellPoint101.
Referenced by MagneticFieldGrid::interpolateAtPoint().
{
CellPoint101[0] = X1;
CellPoint101[1] = X2;
CellPoint101[2] = X3;
CellPoint101[3] = F1;
CellPoint101[4] = F2;
CellPoint101[5] = F3;
return;
}
| void VectorFieldInterpolation::defineCellPoint110 | ( | double | X1, |
| double | X2, | ||
| double | X3, | ||
| double | F1, | ||
| double | F2, | ||
| double | F3 | ||
| ) |
Definition at line 38 of file VectorFieldInterpolation.cc.
References CellPoint110.
Referenced by MagneticFieldGrid::interpolateAtPoint().
{
CellPoint110[0] = X1;
CellPoint110[1] = X2;
CellPoint110[2] = X3;
CellPoint110[3] = F1;
CellPoint110[4] = F2;
CellPoint110[5] = F3;
return;
}
| void VectorFieldInterpolation::defineCellPoint111 | ( | double | X1, |
| double | X2, | ||
| double | X3, | ||
| double | F1, | ||
| double | F2, | ||
| double | F3 | ||
| ) |
Definition at line 82 of file VectorFieldInterpolation.cc.
References CellPoint111.
Referenced by MagneticFieldGrid::interpolateAtPoint().
{
CellPoint111[0] = X1;
CellPoint111[1] = X2;
CellPoint111[2] = X3;
CellPoint111[3] = F1;
CellPoint111[4] = F2;
CellPoint111[5] = F3;
return;
}
| void VectorFieldInterpolation::putSCoordGetVField | ( | double | X1, |
| double | X2, | ||
| double | X3, | ||
| double & | F1, | ||
| double & | F2, | ||
| double & | F3 | ||
| ) |
receive the interpolated field (out) at any point in space (in)
Definition at line 93 of file VectorFieldInterpolation.cc.
References CellPoint000, CellPoint001, CellPoint010, CellPoint011, CellPoint100, CellPoint101, CellPoint110, CellPoint111, i, SC, and VF.
Referenced by MagneticFieldGrid::interpolateAtPoint().
{
SC[0] = X1;
SC[1] = X2;
SC[2] = X3;
// values describing 4 help points after interpolation step of variables X1
// 5 dimensions: 2 space dimensions + 3 field dimensions
// X2' , X3' , F1' , F2' , F3'
double HelpPoint00[5]; // {0.0 , 0.0 , 0.0 , 0.0 , 0.0};
double HelpPoint10[5];
double HelpPoint01[5];
double HelpPoint11[5];
// values describing 2 help points after interpolation step of variables X2'
// 4 dimensions: 1 space dimensions + 3 field dimensions
// X3" , F1" , F2" , F3"
double HelpPoint0[4]; // {0.0 , 0.0 , 0.0 , 0.0};
double HelpPoint1[4];
// 1. iteration *****
// prepare interpolation between CellPoint000 and CellPoint100
double DeltaX100X000 = CellPoint100[0] - CellPoint000[0];
double DeltaSC0X000overDeltaX100X000 = 0.;
if (DeltaX100X000 != 0.) DeltaSC0X000overDeltaX100X000 = (SC[0] - CellPoint000[0]) / DeltaX100X000;
// prepare interpolation between CellPoint010 and CellPoint110
double DeltaX110X010 = CellPoint110[0] - CellPoint010[0];
double DeltaSC0X010overDeltaX110X010 = 0.;
if (DeltaX110X010 != 0.) DeltaSC0X010overDeltaX110X010 = (SC[0] - CellPoint010[0]) / DeltaX110X010;
// prepare interpolation between CellPoint001 and CellPoint101
double DeltaX101X001 = CellPoint101[0] - CellPoint001[0];
double DeltaSC0X001overDeltaX101X001 = 0.;
if (DeltaX101X001 != 0.) DeltaSC0X001overDeltaX101X001 = (SC[0] - CellPoint001[0]) / DeltaX101X001;
// prepare interpolation between CellPoint011 and CellPoint111
double DeltaX111X011 = CellPoint111[0] - CellPoint011[0];
double DeltaSC0X011overDeltaX111X011 = 0.;
if (DeltaX111X011 != 0.) DeltaSC0X011overDeltaX111X011 = (SC[0] - CellPoint011[0]) / DeltaX111X011;
for (int i=0; i<5; ++i){
int ip = i+1;
// interpolate between CellPoint000 and CellPoint100
HelpPoint00[i] = CellPoint000[ip] + DeltaSC0X000overDeltaX100X000 * (CellPoint100[ip] - CellPoint000[ip]);
// interpolate between CellPoint010 and CellPoint110
HelpPoint10[i] = CellPoint010[ip] + DeltaSC0X010overDeltaX110X010 * (CellPoint110[ip] - CellPoint010[ip]);
// interpolate between CellPoint001 and CellPoint101
HelpPoint01[i] = CellPoint001[ip] + DeltaSC0X001overDeltaX101X001 * (CellPoint101[ip] - CellPoint001[ip]);
// interpolate between CellPoint011 and CellPoint111
HelpPoint11[i] = CellPoint011[ip] + DeltaSC0X011overDeltaX111X011 * (CellPoint111[ip] - CellPoint011[ip]);
}
// 2. iteration *****
// prepare interpolation between HelpPoint00 and HelpPoint10
double DeltaX10X00 = HelpPoint10[0] - HelpPoint00[0];
double DeltaSC1X00overDeltaX10X00 = 0.;
if (DeltaX10X00 != 0.) DeltaSC1X00overDeltaX10X00 = (SC[1] - HelpPoint00[0]) / DeltaX10X00;
// prepare interpolation between HelpPoint01 and HelpPoint11
double DeltaX11X01 = HelpPoint11[0] - HelpPoint01[0];
double DeltaSC1X01overDeltaX11X01 = 0.;
if (DeltaX11X01 != 0.) DeltaSC1X01overDeltaX11X01 = (SC[1] - HelpPoint01[0]) / DeltaX11X01;
for (int i=0; i<4; ++i){
int ip = i+1;
// interpolate between HelpPoint00 and HelpPoint10
HelpPoint0[i] = HelpPoint00[ip] + DeltaSC1X00overDeltaX10X00 * (HelpPoint10[ip] - HelpPoint00[ip]);
// interpolate between HelpPoint01 and HelpPoint11
HelpPoint1[i] = HelpPoint01[ip] + DeltaSC1X01overDeltaX11X01 * (HelpPoint11[ip] - HelpPoint01[ip]);
}
// 3. iteration *****
// prepare interpolation between HelpPoint0 and HelpPoint1
double DeltaX1X0 = HelpPoint1[0] - HelpPoint0[0];
double DeltaSC2X0overDeltaX1X0 = 0.;
if (DeltaX1X0 != 0.) DeltaSC2X0overDeltaX1X0 = (SC[2] - HelpPoint0[0]) / DeltaX1X0;
for (int i=0; i<3; ++i){
int ip = i+1;
// interpolate between HelpPoint0 and HelpPoint1
VF[i] = HelpPoint0[ip] + DeltaSC2X0overDeltaX1X0 * (HelpPoint1[ip] - HelpPoint0[ip]);
}
F1 = VF[0];
F2 = VF[1];
F3 = VF[2];
return;
}
double VectorFieldInterpolation::CellPoint000[6] [private] |
Definition at line 72 of file VectorFieldInterpolation.h.
Referenced by defineCellPoint000(), and putSCoordGetVField().
double VectorFieldInterpolation::CellPoint001[6] [private] |
Definition at line 76 of file VectorFieldInterpolation.h.
Referenced by defineCellPoint001(), and putSCoordGetVField().
double VectorFieldInterpolation::CellPoint010[6] [private] |
Definition at line 74 of file VectorFieldInterpolation.h.
Referenced by defineCellPoint010(), and putSCoordGetVField().
double VectorFieldInterpolation::CellPoint011[6] [private] |
Definition at line 78 of file VectorFieldInterpolation.h.
Referenced by defineCellPoint011(), and putSCoordGetVField().
double VectorFieldInterpolation::CellPoint100[6] [private] |
Definition at line 73 of file VectorFieldInterpolation.h.
Referenced by defineCellPoint100(), and putSCoordGetVField().
double VectorFieldInterpolation::CellPoint101[6] [private] |
Definition at line 77 of file VectorFieldInterpolation.h.
Referenced by defineCellPoint101(), and putSCoordGetVField().
double VectorFieldInterpolation::CellPoint110[6] [private] |
Definition at line 75 of file VectorFieldInterpolation.h.
Referenced by defineCellPoint110(), and putSCoordGetVField().
double VectorFieldInterpolation::CellPoint111[6] [private] |
Definition at line 79 of file VectorFieldInterpolation.h.
Referenced by defineCellPoint111(), and putSCoordGetVField().
double VectorFieldInterpolation::SC[3] [private] |
Definition at line 67 of file VectorFieldInterpolation.h.
Referenced by putSCoordGetVField().
double VectorFieldInterpolation::VF[3] [private] |
Definition at line 83 of file VectorFieldInterpolation.h.
Referenced by putSCoordGetVField().
1.7.3