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BndMPoleSlicedSymplectic4HFullPass.c
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BndMPoleSlicedSymplectic4HFullPass.c
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#include "mex.h"
#include<math.h>
#include "elempass.h"
#include "atlalib.c"
#include "atphyslib.c"
#define DRIFT1 0.6756035959798286638
#define DRIFT2 -0.1756035959798286639
#define KICK1 1.351207191959657328
#define KICK2 -1.702414383919314656
#define SQR(X) ((X)*(X))
void bndthinkick(double* r, double* A, double* B, double L, double irho, int max_order)
/*****************************************************************************
* Calculate multipole kick in a curved elemrnt (bending magnet)
* The reference coordinate system has the curvature given by the inverse
* (design) radius irho.
* IMPORTANT !!!
* The magnetic field Bo that provides this curvature MUST NOT be included in the dipole term
* PolynomB[1](MATLAB notation)(C: B[0] in this function) of the By field expansion
*
* The kick is given by
*
* e L L delta L x
* theta = - --- B + ------- - ----- ,
* x p y rho 2
* 0 rho
*
* e L
* theta = --- B
* y p x
* 0
*
*
* Note: in the US convention the transverse multipole field is written as:
*
* max_order+1
* ----
* \ n-1
* (B + iB )/ B rho = > (ia + b ) (x + iy)
* y x / n n
* ----
* n=1
* is a polynomial in (x,y) with the highest order = MaxOrder
*
*
* Using different index notation
*
* max_order
* ----
* \ n
* (B + iB )/ B rho = > (iA + B ) (x + iy)
* y x / n n
* ----
* n=0
*
* A,B: i=0 ... max_order
* [0] - dipole, [1] - quadrupole, [2] - sextupole ...
* units for A,B[i] = 1/[m]^(i+1)
* Coeficients are stroed in the PolynomA, PolynomB field of the element
* structure in MATLAB
*
* A[i] (C++,C) = PolynomA(i+1) (MATLAB)
* B[i] (C++,C) = PolynomB(i+1) (MATLAB)
* i = 0 .. MaxOrder
*
******************************************************************************/
{ int i;
double ReSum = B[max_order];
double ImSum = A[max_order];
double ReSumTemp;
/* recursively calculate the local transvrese magnetic field
* Bx = ReSum, By = ImSum
*/
for(i=max_order-1;i>0;i--)
{ ReSumTemp = ReSum*r[0] - ImSum*r[2] + B[i];
ImSum = ImSum*r[0] + ReSum*r[2] + A[i];
ReSum = ReSumTemp;
}
ReSumTemp = ReSum*r[0] - ImSum*r[2];
ImSum = ImSum*r[0] + ReSum*r[2] + A[0];
ReSum = ReSumTemp;
r[1] -= L*ReSum*(1+r[0]*irho);
r[3] += L*ImSum*(1+r[0]*irho);
}
void BndMPoleSymplectic4Pass(double *r, double *le_array, double *irho_array, double *A_array, double *B_array,
int max_order, int num_int_steps,
double *entrance_angle_array, double *exit_angle_array,
double fint1, double fint2, double gap,
double *T1, double *T2,
double *R1, double *R2, int num_particles, int Nslices)
{ int c, m, ii;
double *r6, *A, *B;
double SL, L1, L2, K1, K2, le, irho, entrance_angle, exit_angle;
bool useT1, useT2, useR1, useR2, useFringe1, useFringe2;
/*
FILE *arxiu;
arxiu=fopen("trackInside_slice.dat","w");
for(ii = 0;ii<=(Nslices-1);ii++)
{
fprintf(arxiu,"%e\n",irho_array[ii]);
}
*/
if(T1==NULL)
useT1=false;
else
useT1=true;
if(T2==NULL)
useT2=false;
else
useT2=true;
if(R1==NULL)
useR1=false;
else
useR1=true;
if(R2==NULL)
useR2=false;
else
useR2=true;
/* if either is 0 - do not calculate fringe effects */
if( fint1==0 || gap==0)
useFringe1 = false;
else
useFringe1=true;
if( fint2==0 || gap==0)
useFringe2 = false;
else
useFringe2=true;
/*fprintf(arxiu,"%e %e %e %e %e %e\n",r[0],r[1],r[2],r[3],r[4],r[5]);*/
for(c = 0;c<num_particles;c++) /* Loop over particles */
{ r6 = r+c*6;
if(!mxIsNaN(r6[0])) {
/* misalignment at entrance */
if(useT1)
ATaddvv(r6, T1);
if(useR1)
ATmultmv(r6, R1);
for(ii = 0;ii<=(Nslices-1);ii++) /* Loop over slices */ {
A=A_array+ii*(max_order+1);
B=B_array+ii*(max_order+1);
entrance_angle=entrance_angle_array[ii];
exit_angle=exit_angle_array[ii];
irho=irho_array[ii];
le=le_array[ii];
/* fprintf(arxiu,"%d %e %e %e %e %e\n",ii,B_array[ii*(max_order+1)],B[0],B[1],B[2],B[3]);
fprintf(arxiu,"%d %e %e %e %e %e\n",ii,fint1,irho,entrance_angle,exit_angle,le);
fprintf(arxiu,"%1.16e %1.16e %1.16e %1.16e %1.16e %1.16e %1.16e %1.16e %1.16e\n",B_array[1],A_array[1],r6[0],r6[1],r6[2],r6[3],r6[4],r6[5],irho);*/
SL = le/num_int_steps;
L1 = SL*DRIFT1;
L2 = SL*DRIFT2;
K1 = SL*KICK1;
K2 = SL*KICK2;
/* edge focus */
/* edge focus */
Rotation_y(r6, entrance_angle);
if(useFringe1){
QuadFringe_step(r6, B[1], 1.0,DRIFT1);
BendFringe_FINT(r6, (irho+B[0]), 1.0,fint1,gap,KICK1);
QuadFringe_step(r6, B[1], 1.0,DRIFT2);
BendFringe_FINT(r6, (irho+B[0]), 1.0,fint1,gap,KICK2);
QuadFringe_step(r6, B[1], 1.0,DRIFT2);
BendFringe_FINT(r6, (irho+B[0]), 1.0,fint1,gap,KICK1);
QuadFringe_step(r6, B[1], 1.0,DRIFT1);
}
else {
QuadFringe_step(r6, B[1], 1.0,DRIFT1);
BendFringe(r6, (irho+B[0]), 1.0,KICK1);
QuadFringe_step(r6, B[1], 1.0,DRIFT2);
BendFringe(r6, (irho+B[0]), 1.0,KICK2);
QuadFringe_step(r6, B[1], 1.0,DRIFT2);
BendFringe(r6, (irho+B[0]), 1.0,KICK1);
QuadFringe_step(r6, B[1], 1.0,DRIFT1);
}
Ideal_Wedge(r6, -entrance_angle, irho);
/*
fprintf(arxiu,"%1.16e %1.16e %1.16e %1.16e %1.16e %1.16e %1.16e %1.16e\n",B_array[1],A_array[1],r6[0],r6[1],r6[2],r6[3],r6[4],r6[5]);
*/
/* integrator */
for(m=0; m < num_int_steps; m++) /* Loop over integration steps*/ {
r6 = r+c*6;
AT_H_Full_Bend_y_Drift(r6, L1, irho);
bndthinkick(r6, A, B, K1, irho, max_order);
AT_H_Full_Bend_y_Drift(r6, L2, irho);
bndthinkick(r6, A, B, K2, irho, max_order);
AT_H_Full_Bend_y_Drift(r6, L2, irho);
bndthinkick(r6, A, B, K1, irho, max_order);
AT_H_Full_Bend_y_Drift(r6, L1, irho);
}
/*
fprintf(arxiu,"%1.16e %1.16e %1.16e %1.16e %1.16e %1.16e %1.16e %1.16e\n",B_array[1],A_array[1],r6[0],r6[1],r6[2],r6[3],r6[4],r6[5]);
*/
Ideal_Wedge(r6, -entrance_angle, irho);
if(useFringe2){
QuadFringe_step(r6, B[1], -1.0,DRIFT1);
BendFringe_FINT(r6, (irho+B[0]), -1.0,fint2,gap,KICK1);
QuadFringe_step(r6, B[1], -1.0,DRIFT2);
BendFringe_FINT(r6, (irho+B[0]), -1.0,fint2,gap,KICK2);
QuadFringe_step(r6, B[1], -1.0,DRIFT2);
BendFringe_FINT(r6, (irho+B[0]), -1.0,fint2,gap,KICK1);
QuadFringe_step(r6, B[1], -1.0,DRIFT1);
}
else {
QuadFringe_step(r6, B[1], -1.0,DRIFT1);
BendFringe(r6, (irho+B[0]), -1.0,KICK1);
QuadFringe_step(r6, B[1], -1.0,DRIFT2);
BendFringe(r6, (irho+B[0]), -1.0,KICK2);
QuadFringe_step(r6, B[1], -1.0,DRIFT2);
BendFringe(r6, (irho+B[0]), -1.0,KICK1);
QuadFringe_step(r6, B[1], -1.0,DRIFT1);
}
Rotation_y(r6, entrance_angle);
}
/* Misalignment at exit */
if(useR2)
ATmultmv(r6, R2);
if(useT2)
ATaddvv(r6, T2);
}
}
/*
fclose(arxiu);
*/
}
ExportMode int* passFunction(const mxArray *ElemData, int *FieldNumbers,
double *r_in, int num_particles, int mode)
#define NUM_FIELDS_2_REMEMBER 16
{ double *A , *B, *le, *ba, *irho, *entrance_angle, *exit_angle;
double *pr1, *pr2, *pt1, *pt2, fint1, fint2, gap;
int ii, max_order, num_int_steps, Nslices;
int *returnptr;
int *NewFieldNumbers, fnum;
switch(mode)
{ case MAKE_LOCAL_COPY: /* Find field numbers first
* Save a list of field number in an array
* and make returnptr point to that array
*/
{
/* Allocate memory for integer array of
* field numbers for faster future reference
*/
NewFieldNumbers = (int*)mxCalloc(NUM_FIELDS_2_REMEMBER, sizeof(int));
/* Populate */
fnum = mxGetFieldNumber(ElemData, "PolynomA");
if(fnum<0)
mexErrMsgTxt("Required field 'PolynomA' was not found in the element data structure");
NewFieldNumbers[0] = fnum;
A = mxGetPr(mxGetFieldByNumber(ElemData, 0, fnum));
fnum = mxGetFieldNumber(ElemData, "PolynomB");
if(fnum<0)
mexErrMsgTxt("Required field 'PolynomB' was not found in the element data structure");
NewFieldNumbers[1] = fnum;
B = mxGetPr(mxGetFieldByNumber(ElemData, 0, fnum));
fnum = mxGetFieldNumber(ElemData, "MaxOrder");
if(fnum<0)
mexErrMsgTxt("Required field 'MaxOrder' was not found in the element data structure");
NewFieldNumbers[2] = fnum;
max_order = (int)mxGetScalar(mxGetFieldByNumber(ElemData, 0, fnum));
fnum = mxGetFieldNumber(ElemData, "NumIntSteps");
if(fnum<0)
mexErrMsgTxt("Required field 'NumIntSteps' was not found in the element data structure");
NewFieldNumbers[3] = fnum;
num_int_steps = (int)mxGetScalar(mxGetFieldByNumber(ElemData, 0, fnum));
fnum = mxGetFieldNumber(ElemData, "Lengths");
if(fnum<0)
mexErrMsgTxt("Required field 'Lengths' was not found in the element data structure");
NewFieldNumbers[4] = fnum;
le = mxGetPr(mxGetFieldByNumber(ElemData, 0, fnum));
fnum = mxGetFieldNumber(ElemData, "BendingAngle");
if(fnum<0)
mexErrMsgTxt("Required field 'BendingAngle' was not found in the element data structure");
NewFieldNumbers[5] = fnum;
ba = mxGetPr(mxGetFieldByNumber(ElemData, 0, fnum));
fnum = mxGetFieldNumber(ElemData, "EntranceAngle");
if(fnum<0)
mexErrMsgTxt("Required field 'EntranceAngle' was not found in the element data structure");
NewFieldNumbers[6] = fnum;
entrance_angle = mxGetPr(mxGetFieldByNumber(ElemData, 0, fnum));
fnum = mxGetFieldNumber(ElemData, "ExitAngle");
if(fnum<0)
mexErrMsgTxt("Required field 'ExitAngle' was not found in the element data structure");
NewFieldNumbers[7] = fnum;
exit_angle = mxGetPr(mxGetFieldByNumber(ElemData, 0, fnum));
fnum = mxGetFieldNumber(ElemData, "Nslices");
if(fnum<0)
mexErrMsgTxt("Required field 'Nslices' was not found in the element data structure");
NewFieldNumbers[8] = fnum;
Nslices = (int)mxGetScalar(mxGetFieldByNumber(ElemData, 0, fnum));
fnum = mxGetFieldNumber(ElemData, "FringeInt1");/* Optional field FringeInt */
NewFieldNumbers[9] = fnum;
if(fnum<0)
fint1 = 0;
else
fint1 = mxGetScalar(mxGetFieldByNumber(ElemData, 0, fnum));
fnum = mxGetFieldNumber(ElemData, "FringeInt2");/* Optional field FringeInt */
NewFieldNumbers[10] = fnum;
if(fnum<0)
fint2 = 0;
else
fint2 = mxGetScalar(mxGetFieldByNumber(ElemData, 0, fnum));
fnum = mxGetFieldNumber(ElemData, "FullGap");
NewFieldNumbers[11] = fnum;
if(fnum<0)
gap = 0;
else
gap = mxGetScalar(mxGetFieldByNumber(ElemData, 0, fnum));
fnum = mxGetFieldNumber(ElemData, "R1");
NewFieldNumbers[12] = fnum;
if(fnum<0)
pr1 = NULL;
else
pr1 = mxGetPr(mxGetFieldByNumber(ElemData, 0, fnum));
fnum = mxGetFieldNumber(ElemData, "R2");
NewFieldNumbers[13] = fnum;
if(fnum<0)
pr2 = NULL;
else
pr2 = mxGetPr(mxGetFieldByNumber(ElemData, 0, fnum));
fnum = mxGetFieldNumber(ElemData, "T1");
NewFieldNumbers[14] = fnum;
if(fnum<0)
pt1 = NULL;
else
pt1 = mxGetPr(mxGetFieldByNumber(ElemData, 0, fnum));
fnum = mxGetFieldNumber(ElemData, "T2");
NewFieldNumbers[15] = fnum;
if(fnum<0)
pt2 = NULL;
else
pt2 = mxGetPr(mxGetFieldByNumber(ElemData, 0, fnum));
returnptr = NewFieldNumbers;
} break;
case USE_LOCAL_COPY: /* Get fields from MATLAB using field numbers
* The second argument ponter to the array of field
* numbers is previously created with
* QuadLinPass( ..., MAKE_LOCAL_COPY)
*/
{ A = mxGetPr(mxGetFieldByNumber(ElemData, 0, FieldNumbers[0]));
B = mxGetPr(mxGetFieldByNumber(ElemData, 0, FieldNumbers[1]));
max_order = (int)mxGetScalar(mxGetFieldByNumber(ElemData, 0, FieldNumbers[2]));
num_int_steps = (int)mxGetScalar(mxGetFieldByNumber(ElemData, 0, FieldNumbers[3]));
le = mxGetPr(mxGetFieldByNumber(ElemData, 0, FieldNumbers[4]));
ba = mxGetPr(mxGetFieldByNumber(ElemData, 0, FieldNumbers[5]));
entrance_angle = mxGetPr(mxGetFieldByNumber(ElemData, 0, FieldNumbers[6]));
exit_angle = mxGetPr(mxGetFieldByNumber(ElemData, 0, FieldNumbers[7]));
Nslices = (int)mxGetScalar(mxGetFieldByNumber(ElemData, 0, FieldNumbers[8]));
/* Optional fields */
if(FieldNumbers[9]<0)
fint1 = 0;
else
fint1 = mxGetScalar(mxGetFieldByNumber(ElemData, 0, FieldNumbers[9]));
if(FieldNumbers[10]<0)
fint2 = 0;
else
fint2 = mxGetScalar(mxGetFieldByNumber(ElemData, 0, FieldNumbers[10]));
if(FieldNumbers[11]<0)
gap = 0;
else
gap = mxGetScalar(mxGetFieldByNumber(ElemData, 0, FieldNumbers[11]));
/* Optional fields */
if(FieldNumbers[12]<0)
pr1 = NULL;
else
pr1 = mxGetPr(mxGetFieldByNumber(ElemData, 0, FieldNumbers[12]));
if(FieldNumbers[13]<0)
pr2 = NULL;
else
pr2 = mxGetPr(mxGetFieldByNumber(ElemData, 0, FieldNumbers[13]));
if(FieldNumbers[14]<0)
pt1 = NULL;
else
pt1 = mxGetPr(mxGetFieldByNumber(ElemData, 0, FieldNumbers[14]));
if(FieldNumbers[15]<0)
pt2 = NULL;
else
pt2 = mxGetPr(mxGetFieldByNumber(ElemData, 0, FieldNumbers[15]));
returnptr = FieldNumbers;
} break;
default:
{ mexErrMsgTxt("No match for calling mode in function BndMPoleSymplectic4Pass\n");
}
}
irho=(double*)mxCalloc(Nslices, sizeof(double));
for(ii=0;ii<=(Nslices-1);ii++) {
irho[ii] = ba[ii]/le[ii];
}
BndMPoleSymplectic4Pass(r_in, le, irho, A, B, max_order, num_int_steps,
entrance_angle, exit_angle, fint1, fint2, gap, pt1, pt2, pr1, pr2, num_particles, Nslices);
return(returnptr);
}
void mexFunction( int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[])
{ int m, n, ii;
double *r_in;
double *le, *ba, *A, *B;
double *irho;
int max_order, num_int_steps, Nslices;
double *entrance_angle, *exit_angle ;
double *pr1, *pr2, *pt1, *pt2, fint1, fint2, gap;
mxArray *tmpmxptr;
if(nrhs) {
/* ALLOCATE memory for the output array of the same size as the input */
m = mxGetM(prhs[1]);
n = mxGetN(prhs[1]);
if(m!=6)
mexErrMsgTxt("Second argument must be a 6 x N matrix");
tmpmxptr =mxGetField(prhs[0], 0, "PolynomA");
if(tmpmxptr)
A = mxGetPr(tmpmxptr);
else
mexErrMsgTxt("Required field 'PolynomA' was not found in the element data structure");
tmpmxptr =mxGetField(prhs[0], 0, "PolynomB");
if(tmpmxptr)
B = mxGetPr(tmpmxptr);
else
mexErrMsgTxt("Required field 'PolynomB' was not found in the element data structure");
tmpmxptr = mxGetField(prhs[0], 0, "MaxOrder");
if(tmpmxptr)
max_order = (int)mxGetScalar(tmpmxptr);
else
mexErrMsgTxt("Required field 'MaxOrder' was not found in the element data structure");
tmpmxptr = mxGetField(prhs[0], 0, "NumIntSteps");
if(tmpmxptr)
num_int_steps = (int)mxGetScalar(tmpmxptr);
else
mexErrMsgTxt("Required field 'NumIntSteps' was not found in the element data structure");
tmpmxptr = mxGetField(prhs[0], 0, "Lengths");
if(tmpmxptr)
le = mxGetPr(tmpmxptr);
else
mexErrMsgTxt("Required field 'Lengths' was not found in the element data structure");
tmpmxptr = mxGetField(prhs[0], 0, "BendingAngle");
if(tmpmxptr)
ba = mxGetPr(tmpmxptr);
else
mexErrMsgTxt("Required field 'BendingAngle' was not found in the element data structure");
tmpmxptr = mxGetField(prhs[0], 0, "EntranceAngle");
if(tmpmxptr)
entrance_angle = mxGetPr(tmpmxptr);
else
mexErrMsgTxt("Required field 'EntranceAngle' was not found in the element data structure");
tmpmxptr = mxGetField(prhs[0], 0, "ExitAngle");
if(tmpmxptr)
exit_angle = mxGetPr(tmpmxptr);
else
mexErrMsgTxt("Required field 'ExitAngle' was not found in the element data structure");
tmpmxptr = mxGetField(prhs[0], 0, "Nslices");
if(tmpmxptr)
Nslices = (int)mxGetScalar(tmpmxptr);
else
mexErrMsgTxt("Required field 'Nslices' was not found in the element data structure");
tmpmxptr = mxGetField(prhs[0], 0, "FringeInt1");
if(tmpmxptr)
fint1 = mxGetScalar(tmpmxptr);
else
fint1 = 0;
tmpmxptr = mxGetField(prhs[0], 0, "FringeInt2");
if(tmpmxptr)
fint2 = mxGetScalar(tmpmxptr);
else
fint2 = 0;
tmpmxptr = mxGetField(prhs[0], 0, "FullGap");
if(tmpmxptr)
gap = mxGetScalar(tmpmxptr);
else
gap = 0;
tmpmxptr = mxGetField(prhs[0], 0, "R1");
if(tmpmxptr)
pr1 = mxGetPr(tmpmxptr);
else
pr1=NULL;
tmpmxptr = mxGetField(prhs[0], 0, "R2");
if(tmpmxptr)
pr2 = mxGetPr(tmpmxptr);
else
pr2=NULL;
tmpmxptr = mxGetField(prhs[0], 0, "T1");
if(tmpmxptr)
pt1=mxGetPr(tmpmxptr);
else
pt1=NULL;
tmpmxptr = mxGetField(prhs[0], 0, "T2");
if(tmpmxptr)
pt2=mxGetPr(tmpmxptr);
else
pt2=NULL;
irho=(double*)mxCalloc(Nslices, sizeof(double));
for(ii=0;ii<=(Nslices-1);ii++) {
irho[ii] = ba[ii]/le[ii];
}
plhs[0] = mxDuplicateArray(prhs[1]);
r_in = mxGetPr(plhs[0]);
BndMPoleSymplectic4Pass(r_in, le, irho, A, B, max_order, num_int_steps,
entrance_angle, exit_angle, fint1, fint2, gap, pt1, pt2, pr1, pr2, n, Nslices);
}
else { /* return list of required fields */
plhs[0] = mxCreateCellMatrix(9, 1);
mxSetCell(plhs[0], 0, mxCreateString("Length"));
mxSetCell(plhs[0], 1, mxCreateString("BendingAngle"));
mxSetCell(plhs[0], 2, mxCreateString("EntranceAngle"));
mxSetCell(plhs[0], 3, mxCreateString("ExitAngle"));
mxSetCell(plhs[0], 4, mxCreateString("PolynomA"));
mxSetCell(plhs[0], 5, mxCreateString("PolynomB"));
mxSetCell(plhs[0], 6, mxCreateString("MaxOrder"));
mxSetCell(plhs[0], 7, mxCreateString("NumIntSteps"));
mxSetCell(plhs[0], 8, mxCreateString("Nslices"));
if(nlhs>1) /* Required and optional fields */
{ plhs[1] = mxCreateCellMatrix(7, 1);
mxSetCell(plhs[1], 0, mxCreateString("FullGap"));
mxSetCell(plhs[1], 1, mxCreateString("FringeInt1"));
mxSetCell(plhs[1], 2, mxCreateString("FringeInt2"));
mxSetCell(plhs[1], 3, mxCreateString("T1"));
mxSetCell(plhs[1], 4, mxCreateString("T2"));
mxSetCell(plhs[1], 5, mxCreateString("R1"));
mxSetCell(plhs[1], 6, mxCreateString("R2"));
}
}
}