[4] | 1 | #include "mex.h" |
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| 2 | #include<math.h> |
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| 3 | #include "elempass.h" |
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| 4 | #include "../atlalib.c" |
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| 5 | |
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| 6 | |
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| 7 | #define DRIFT1 0.6756035959798286638 |
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| 8 | #define DRIFT2 -0.1756035959798286639 |
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| 9 | #define KICK1 1.351207191959657328 |
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| 10 | #define KICK2 -1.702414383919314656 |
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| 11 | |
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| 12 | |
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| 13 | |
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| 14 | void strthinkick(double* r, double* A, double* B, double L, int max_order) |
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| 15 | /***************************************************************************** |
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| 16 | Calculate and apply a multipole kick to a 6-dimentional |
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| 17 | phase space vector in a straight element ( quadrupole) |
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| 18 | |
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| 19 | IMPORTANT !!! |
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| 20 | The reference coordinate system is straight but the field expansion may still |
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| 21 | contain dipole terms: PolynomA(1), PolynomB(1) - in MATLAB notation, |
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| 22 | A[0], B[0] - C,C++ notation |
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| 23 | |
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| 24 | |
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| 25 | Note: in the US convention the transverse multipole field is written as: |
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| 26 | |
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| 27 | max_order+1 |
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| 28 | ---- |
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| 29 | \ n-1 |
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| 30 | (B + iB )/ B rho = > (ia + b ) (x + iy) |
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| 31 | y x / n n |
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| 32 | ---- |
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| 33 | n=1 |
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| 34 | is a polynomial in (x,y) with the highest order = MaxOrder |
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| 35 | |
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| 36 | |
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| 37 | Using different index notation |
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| 38 | |
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| 39 | max_order |
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| 40 | ---- |
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| 41 | \ n |
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| 42 | (B + iB )/ B rho = > (iA + B ) (x + iy) |
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| 43 | y x / n n |
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| 44 | ---- |
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| 45 | n=0 |
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| 46 | |
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| 47 | A,B: i=0 ... max_order |
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| 48 | [0] - dipole, [1] - quadrupole, [2] - sextupole ... |
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| 49 | units for A,B[i] = 1/[m]^(i+1) |
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| 50 | Coeficients are stroed in the PolynomA, PolynomB field of the element |
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| 51 | structure in MATLAB |
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| 52 | |
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| 53 | A[i] (C++,C) = PolynomA(i+1) (MATLAB) |
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| 54 | B[i] (C++,C) = PolynomB(i+1) (MATLAB) |
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| 55 | i = 0 .. MaxOrder |
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| 56 | |
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| 57 | ******************************************************************************/ |
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| 58 | { int i; |
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| 59 | double ReSum = B[max_order]; |
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| 60 | double ImSum = A[max_order]; |
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| 61 | double ReSumTemp; |
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| 62 | for(i=max_order-1;i>=0;i--) |
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| 63 | { ReSumTemp = ReSum*r[0] - ImSum*r[2] + B[i]; |
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| 64 | ImSum = ImSum*r[0] + ReSum*r[2] + A[i]; |
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| 65 | ReSum = ReSumTemp; |
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| 66 | } |
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| 67 | |
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| 68 | r[1] -= L*ReSum; |
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| 69 | r[3] += L*ImSum; |
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| 70 | } |
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| 71 | |
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| 72 | void fastdrift(double* r, double NormL) |
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| 73 | |
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| 74 | /* NormL=(Physical Length)/(1+delta) is computed externally to speed up calculations |
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| 75 | in the loop if momentum deviation (delta) does not change |
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| 76 | such as in 4-th order symplectic integrator w/o radiation |
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| 77 | */ |
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| 78 | |
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| 79 | { double dx = NormL*r[1]; |
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| 80 | double dy = NormL*r[3]; |
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| 81 | r[0]+= dx; |
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| 82 | r[2]+= dy; |
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| 83 | r[5]+= NormL*(r[1]*r[1]+r[3]*r[3])/(2*(1+r[4])); |
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| 84 | } |
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| 85 | |
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| 86 | void StrMPoleSymplectic4Pass(double *r, double le, double *A, double *B, |
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| 87 | int max_order, int num_int_steps, |
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| 88 | double *T1, double *T2, |
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| 89 | double *R1, double *R2, int num_particles) |
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| 90 | { int c,m; |
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| 91 | double norm, NormL1, NormL2; |
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| 92 | double *r6; |
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| 93 | bool useT1, useT2, useR1, useR2; |
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| 94 | double SL, L1, L2, K1, K2; |
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| 95 | SL = le/num_int_steps; |
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| 96 | L1 = SL*DRIFT1; |
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| 97 | L2 = SL*DRIFT2; |
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| 98 | K1 = SL*KICK1; |
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| 99 | K2 = SL*KICK2; |
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| 100 | |
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| 101 | if(T1==NULL) |
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| 102 | useT1=false; |
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| 103 | else |
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| 104 | useT1=true; |
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| 105 | |
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| 106 | if(T2==NULL) |
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| 107 | useT2=false; |
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| 108 | else |
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| 109 | useT2=true; |
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| 110 | |
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| 111 | if(R1==NULL) |
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| 112 | useR1=false; |
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| 113 | else |
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| 114 | useR1=true; |
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| 115 | |
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| 116 | if(R2==NULL) |
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| 117 | useR2=false; |
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| 118 | else |
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| 119 | useR2=true; |
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| 120 | for(c = 0;c<num_particles;c++) /*Loop over particles */ |
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| 121 | { r6 = r+c*6; |
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| 122 | if(!mxIsNaN(r6[0])) |
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| 123 | { |
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| 124 | /* misalignment at entrance */ |
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| 125 | if(useT1) |
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| 126 | ATaddvv(r6,T1); |
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| 127 | if(useR1) |
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| 128 | ATmultmv(r6,R1); |
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| 129 | /* integrator */ |
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| 130 | for(m=0; m < num_int_steps; m++) /* Loop over slices */ |
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| 131 | { r6 = r+c*6; |
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| 132 | norm = 1/(1+r6[4]); |
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| 133 | NormL1 = L1*norm; |
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| 134 | NormL2 = L2*norm; |
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| 135 | fastdrift(r6, NormL1); |
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| 136 | strthinkick(r6, A, B, K1, max_order); |
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| 137 | fastdrift(r6, NormL2); |
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| 138 | strthinkick(r6, A, B, K2, max_order); |
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| 139 | fastdrift(r6, NormL2); |
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| 140 | strthinkick(r6, A, B, K1, max_order); |
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| 141 | fastdrift(r6, NormL1); |
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| 142 | } |
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| 143 | |
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| 144 | /* Misalignment at exit */ |
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| 145 | if(useR2) |
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| 146 | ATmultmv(r6,R2); |
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| 147 | if(useT2) |
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| 148 | ATaddvv(r6,T2); |
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| 149 | } |
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| 150 | } |
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| 151 | } |
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| 152 | |
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| 153 | |
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| 154 | |
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| 155 | ExportMode int* passFunction(const mxArray *ElemData, int *FieldNumbers, |
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| 156 | double *r_in, int num_particles, int mode) |
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| 157 | #define NUM_FIELDS_2_REMEMBER 10 |
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| 158 | { int fnum; |
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| 159 | double *A , *B; |
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| 160 | double *pr1, *pr2, *pt1, *pt2, *ka; |
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| 161 | int max_order, num_int_steps; |
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| 162 | double le; |
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| 163 | int *returnptr; |
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| 164 | int *NewFieldNumbers; |
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| 165 | |
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| 166 | switch(mode) |
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| 167 | { case NO_LOCAL_COPY: /* NOT used in AT1.3 Get fields by names from MATLAB workspace */ |
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| 168 | { |
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| 169 | |
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| 170 | } break; |
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| 171 | |
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| 172 | case MAKE_LOCAL_COPY: /* Find field numbers first |
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| 173 | Save a list of field number in an array |
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| 174 | and make returnptr point to that array |
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| 175 | */ |
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| 176 | { |
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| 177 | /* Allocate memory for integer array of |
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| 178 | field numbers for faster futurereference |
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| 179 | */ |
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| 180 | NewFieldNumbers = (int*)mxCalloc(NUM_FIELDS_2_REMEMBER,sizeof(int)); |
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| 181 | |
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| 182 | /* Populate */ |
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| 183 | |
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| 184 | fnum = mxGetFieldNumber(ElemData,"PolynomA"); |
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| 185 | if(fnum<0) |
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| 186 | mexErrMsgTxt("Required field 'PolynomA' was not found in the element data structure"); |
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| 187 | NewFieldNumbers[0] = fnum; |
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| 188 | A = mxGetPr(mxGetFieldByNumber(ElemData,0,fnum)); |
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| 189 | |
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| 190 | |
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| 191 | fnum = mxGetFieldNumber(ElemData,"PolynomB"); |
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| 192 | if(fnum<0) |
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| 193 | mexErrMsgTxt("Required field 'PolynomB' was not found in the element data structure"); |
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| 194 | NewFieldNumbers[1] = fnum; |
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| 195 | B = mxGetPr(mxGetFieldByNumber(ElemData,0,fnum)); |
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| 196 | |
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| 197 | |
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| 198 | |
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| 199 | fnum = mxGetFieldNumber(ElemData,"MaxOrder"); |
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| 200 | if(fnum<0) |
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| 201 | mexErrMsgTxt("Required field 'MaxOrder' was not found in the element data structure"); |
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| 202 | NewFieldNumbers[2] = fnum; |
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| 203 | max_order = (int)mxGetScalar(mxGetFieldByNumber(ElemData,0,fnum)); |
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| 204 | |
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| 205 | |
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| 206 | fnum = mxGetFieldNumber(ElemData,"NumIntSteps"); |
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| 207 | if(fnum<0) |
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| 208 | mexErrMsgTxt("Required field 'NumIntSteps' was not found in the element data structure"); |
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| 209 | NewFieldNumbers[3] = fnum; |
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| 210 | num_int_steps = (int)mxGetScalar(mxGetFieldByNumber(ElemData,0,fnum)); |
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| 211 | |
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| 212 | |
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| 213 | fnum = mxGetFieldNumber(ElemData,"Length"); |
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| 214 | if(fnum<0) |
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| 215 | mexErrMsgTxt("Required field 'Length' was not found in the element data structure"); |
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| 216 | NewFieldNumbers[4] = fnum; |
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| 217 | le = mxGetScalar(mxGetFieldByNumber(ElemData,0,fnum)); |
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| 218 | |
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| 219 | fnum = mxGetFieldNumber(ElemData,"R1"); |
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| 220 | NewFieldNumbers[5] = fnum; |
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| 221 | if(fnum<0) |
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| 222 | pr1 = NULL; |
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| 223 | else |
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| 224 | pr1 = mxGetPr(mxGetFieldByNumber(ElemData,0,fnum)); |
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| 225 | |
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| 226 | |
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| 227 | fnum = mxGetFieldNumber(ElemData,"R2"); |
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| 228 | NewFieldNumbers[6] = fnum; |
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| 229 | if(fnum<0) |
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| 230 | pr2 = NULL; |
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| 231 | else |
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| 232 | pr2 = mxGetPr(mxGetFieldByNumber(ElemData,0,fnum)); |
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| 233 | |
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| 234 | fnum = mxGetFieldNumber(ElemData,"T1"); |
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| 235 | NewFieldNumbers[7] = fnum; |
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| 236 | if(fnum<0) |
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| 237 | pt1 = NULL; |
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| 238 | else |
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| 239 | pt1 = mxGetPr(mxGetFieldByNumber(ElemData,0,fnum)); |
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| 240 | |
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| 241 | fnum = mxGetFieldNumber(ElemData,"T2"); |
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| 242 | NewFieldNumbers[8] = fnum; |
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| 243 | if(fnum<0) |
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| 244 | pt2 = NULL; |
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| 245 | else |
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| 246 | pt2 = mxGetPr(mxGetFieldByNumber(ElemData,0,fnum)); |
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| 247 | |
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| 248 | /* Optional: Kick angles, see section below for explanation */ |
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| 249 | /* Kicks from multipole elements can be specified as angles. This handles the |
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| 250 | case where corrector coils are used in sextupoles and used for orbit |
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| 251 | correction. */ |
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| 252 | fnum = mxGetFieldNumber(ElemData,"KickAngle"); |
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| 253 | NewFieldNumbers[9] = fnum; |
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| 254 | if(fnum<0) |
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| 255 | ka = NULL; |
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| 256 | else |
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| 257 | ka = mxGetPr(mxGetFieldByNumber(ElemData,0,fnum)); |
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| 258 | |
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| 259 | returnptr = NewFieldNumbers; |
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| 260 | |
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| 261 | } break; |
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| 262 | |
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| 263 | case USE_LOCAL_COPY: /* Get fields from MATLAB using field numbers |
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| 264 | The second argument ponter to the array of field |
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| 265 | numbers is previously created with |
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| 266 | QuadLinPass( ..., MAKE_LOCAL_COPY) |
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| 267 | |
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| 268 | */ |
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| 269 | { A = mxGetPr(mxGetFieldByNumber(ElemData,0,FieldNumbers[0])); |
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| 270 | B = mxGetPr(mxGetFieldByNumber(ElemData,0,FieldNumbers[1])); |
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| 271 | max_order = (int)mxGetScalar(mxGetFieldByNumber(ElemData,0,FieldNumbers[2])); |
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| 272 | num_int_steps = (int)mxGetScalar(mxGetFieldByNumber(ElemData,0,FieldNumbers[3])); |
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| 273 | le = mxGetScalar(mxGetFieldByNumber(ElemData,0,FieldNumbers[4])); |
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| 274 | |
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| 275 | /* Optional fields */ |
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| 276 | if(FieldNumbers[5]<0) |
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| 277 | pr1 = NULL; |
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| 278 | else |
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| 279 | pr1 = mxGetPr(mxGetFieldByNumber(ElemData,0,FieldNumbers[5])); |
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| 280 | |
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| 281 | if(FieldNumbers[6]<0) |
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| 282 | pr2 = NULL; |
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| 283 | else |
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| 284 | pr2 = mxGetPr(mxGetFieldByNumber(ElemData,0,FieldNumbers[6])); |
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| 285 | |
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| 286 | if(FieldNumbers[7]<0) |
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| 287 | pt1 = NULL; |
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| 288 | else |
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| 289 | pt1 = mxGetPr(mxGetFieldByNumber(ElemData,0,FieldNumbers[7])); |
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| 290 | |
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| 291 | if(FieldNumbers[8]<0) |
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| 292 | pt2 = NULL; |
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| 293 | else |
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| 294 | pt2 = mxGetPr(mxGetFieldByNumber(ElemData,0,FieldNumbers[8])); |
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| 295 | |
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| 296 | if(FieldNumbers[9]<0) |
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| 297 | ka = NULL; |
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| 298 | else |
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| 299 | ka = mxGetPr(mxGetFieldByNumber(ElemData,0,FieldNumbers[9])); |
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| 300 | |
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| 301 | returnptr = FieldNumbers; |
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| 302 | } break; |
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| 303 | default: |
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| 304 | { mexErrMsgTxt("No match for calling mode in function StrMPoleSymplectic4Pass\n"); |
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| 305 | } |
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| 306 | } |
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| 307 | |
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| 308 | |
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| 309 | if(ka!=NULL) |
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| 310 | { |
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| 311 | /* Positive angle must correspond to -ve B field since +ve B field corresponds |
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| 312 | to a bend with the same curvature as the bend magnets. |
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| 313 | */ |
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| 314 | B[0] -= sin(ka[0])/le; |
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| 315 | A[0] += sin(ka[1])/le; |
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| 316 | } |
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| 317 | |
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| 318 | StrMPoleSymplectic4Pass(r_in, le, A, B, max_order, num_int_steps,pt1, pt2, pr1, pr2, num_particles); |
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| 319 | |
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| 320 | if(ka!=NULL) |
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| 321 | { |
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| 322 | B[0] += sin(ka[0])/le; |
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| 323 | A[0] -= sin(ka[1])/le; |
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| 324 | } |
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| 325 | |
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| 326 | return(returnptr); |
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| 327 | } |
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| 328 | |
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| 329 | void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) |
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| 330 | { int m,n; |
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| 331 | double *r_in; |
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| 332 | double le, *A, *B, *pr1, *pr2, *pt1, *pt2, *ka; |
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| 333 | int max_order, num_int_steps; |
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| 334 | mxArray *tmpmxptr; |
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| 335 | |
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| 336 | if(nrhs) |
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| 337 | { |
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| 338 | /* ALLOCATE memory for the output array of the same size as the input */ |
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| 339 | m = mxGetM(prhs[1]); |
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| 340 | n = mxGetN(prhs[1]); |
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| 341 | if(m!=6) |
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| 342 | mexErrMsgTxt("Second argument must be a 6 x N matrix"); |
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| 343 | |
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| 344 | |
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| 345 | tmpmxptr =mxGetField(prhs[0],0,"PolynomA"); |
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| 346 | if(tmpmxptr) |
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| 347 | A = mxGetPr(tmpmxptr); |
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| 348 | else |
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| 349 | mexErrMsgTxt("Required field 'PolynomA' was not found in the element data structure"); |
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| 350 | |
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| 351 | tmpmxptr =mxGetField(prhs[0],0,"PolynomB"); |
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| 352 | if(tmpmxptr) |
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| 353 | B = mxGetPr(tmpmxptr); |
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| 354 | else |
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| 355 | mexErrMsgTxt("Required field 'PolynomB' was not found in the element data structure"); |
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| 356 | |
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| 357 | tmpmxptr = mxGetField(prhs[0],0,"MaxOrder"); |
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| 358 | if(tmpmxptr) |
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| 359 | max_order = (int)mxGetScalar(tmpmxptr); |
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| 360 | else |
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| 361 | mexErrMsgTxt("Required field 'MaxOrder' was not found in the element data structure"); |
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| 362 | |
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| 363 | tmpmxptr = mxGetField(prhs[0],0,"NumIntSteps"); |
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| 364 | if(tmpmxptr) |
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| 365 | num_int_steps = (int)mxGetScalar(tmpmxptr); |
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| 366 | else |
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| 367 | mexErrMsgTxt("Required field 'NumIntSteps' was not found in the element data structure"); |
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| 368 | |
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| 369 | tmpmxptr = mxGetField(prhs[0],0,"Length"); |
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| 370 | if(tmpmxptr) |
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| 371 | le = mxGetScalar(tmpmxptr); |
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| 372 | else |
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| 373 | mexErrMsgTxt("Required field 'Length' was not found in the element data structure"); |
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| 374 | |
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| 375 | |
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| 376 | /* Optionnal arguments */ |
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| 377 | /* Kicks from multipole elements can be specified as angles. This handles the |
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| 378 | case where corrector coils are used in sextupoles and used for orbit |
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| 379 | correction. */ |
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| 380 | tmpmxptr = mxGetField(prhs[0],0,"KickAngle"); |
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| 381 | if(tmpmxptr) |
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| 382 | ka = mxGetPr(tmpmxptr); |
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| 383 | else |
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| 384 | ka = NULL; |
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| 385 | |
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| 386 | tmpmxptr = mxGetField(prhs[0],0,"R1"); |
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| 387 | if(tmpmxptr) |
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| 388 | pr1 = mxGetPr(tmpmxptr); |
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| 389 | else |
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| 390 | pr1=NULL; |
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| 391 | |
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| 392 | tmpmxptr = mxGetField(prhs[0],0,"R2"); |
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| 393 | if(tmpmxptr) |
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| 394 | pr2 = mxGetPr(tmpmxptr); |
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| 395 | else |
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| 396 | pr2=NULL; |
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| 397 | |
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| 398 | tmpmxptr = mxGetField(prhs[0],0,"T1"); |
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| 399 | if(tmpmxptr) |
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| 400 | pt1=mxGetPr(tmpmxptr); |
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| 401 | else |
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| 402 | pt1=NULL; |
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| 403 | |
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| 404 | tmpmxptr = mxGetField(prhs[0],0,"T2"); |
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| 405 | if(tmpmxptr) |
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| 406 | pt2=mxGetPr(tmpmxptr); |
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| 407 | else |
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| 408 | pt2=NULL; |
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| 409 | |
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| 410 | |
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| 411 | if(ka!=NULL) |
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| 412 | { |
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| 413 | /* Positive angle must correspond to -ve B field since +ve B field corresponds |
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| 414 | to a bend with the same curvature as the bend magnets. |
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| 415 | */ |
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| 416 | B[0] -= sin(ka[0])/le; |
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| 417 | A[0] += sin(ka[1])/le; |
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| 418 | } |
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| 419 | |
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| 420 | |
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| 421 | plhs[0] = mxDuplicateArray(prhs[1]); |
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| 422 | r_in = mxGetPr(plhs[0]); |
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| 423 | StrMPoleSymplectic4Pass(r_in, le, A, B, max_order, num_int_steps,pt1, pt2, pr1, pr2, n); |
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| 424 | |
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| 425 | if(ka!=NULL) |
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| 426 | { |
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| 427 | B[0] += sin(ka[0])/le; |
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| 428 | A[0] -= sin(ka[1])/le; |
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| 429 | } |
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| 430 | |
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| 431 | |
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| 432 | } |
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| 433 | else |
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| 434 | { /* return list of required fields */ |
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| 435 | plhs[0] = mxCreateCellMatrix(5,1); |
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| 436 | mxSetCell(plhs[0],0,mxCreateString("Length")); |
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| 437 | mxSetCell(plhs[0],1,mxCreateString("PolynomA")); |
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| 438 | mxSetCell(plhs[0],2,mxCreateString("PolynomB")); |
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| 439 | mxSetCell(plhs[0],3,mxCreateString("MaxOrder")); |
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| 440 | mxSetCell(plhs[0],4,mxCreateString("NumIntSteps")); |
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| 441 | |
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| 442 | if(nlhs>1) /* Required and optional fields */ |
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| 443 | { plhs[1] = mxCreateCellMatrix(4,1); |
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| 444 | mxSetCell(plhs[1],0,mxCreateString("T1")); |
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| 445 | mxSetCell(plhs[1],1,mxCreateString("T2")); |
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| 446 | mxSetCell(plhs[1],2,mxCreateString("R1")); |
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| 447 | mxSetCell(plhs[1],3,mxCreateString("R2")); |
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| 448 | mxSetCell(plhs[1],4,mxCreateString("KickAngle")); |
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| 449 | } |
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| 450 | } |
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| 451 | } |
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| 452 | |
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| 453 | |
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| 454 | |
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