[4] | 1 | /* ThinMPolePassBend |
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| 2 | Accelerator Toolbox |
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| 3 | |
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| 4 | Revision 3/10/04 |
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| 5 | A.Terebilo terebilo@ssrl.slac.stanford.edu |
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| 6 | |
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| 7 | Created 07/29/2003 |
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| 8 | C. Steier CSteier@lbl.gov |
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| 9 | |
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| 10 | interprets dipole term in PolynomB as bending angle instead of |
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| 11 | corrector kick (reference system changes direction). |
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| 12 | */ |
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| 13 | |
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| 14 | |
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| 15 | |
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| 16 | #include "mex.h" |
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| 17 | #include "elempass.h" |
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| 18 | #include "../atlalib.c" |
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| 19 | |
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| 20 | |
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| 21 | #define DRIFT1 0.6756035959798286638 |
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| 22 | #define DRIFT2 -0.1756035959798286639 |
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| 23 | #define KICK1 1.351207191959657328 |
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| 24 | #define KICK2 -1.702414383919314656 |
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| 25 | |
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| 26 | |
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| 27 | |
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| 28 | void strthinkick(double* r, double* A, double* B, int max_order) |
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| 29 | /****************************************************************************** |
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| 30 | Calculate and apply a multipole kick to a 6-dimentional |
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| 31 | phase space vector in a straight element ( quadrupole) |
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| 32 | |
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| 33 | IMPORTANT !!! |
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| 34 | The reference coordinate system is straight but the field expansion may still |
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| 35 | contain dipole terms: PolynomA(1), PolynomB(1) - in MATLAB notation, |
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| 36 | A[0], B[0] - C,C++ notation |
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| 37 | |
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| 38 | |
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| 39 | Note: in the US convention the transverse multipole field is written as: |
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| 40 | |
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| 41 | max_order+1 |
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| 42 | ---- |
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| 43 | \ n-1 |
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| 44 | (B + iB )/ B rho = > (ia + b ) (x + iy) |
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| 45 | y x / n n |
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| 46 | ---- |
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| 47 | n=1 |
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| 48 | is a polynomial in (x,y) with the highest order = MaxOrder |
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| 49 | |
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| 50 | |
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| 51 | Using different index notation |
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| 52 | |
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| 53 | max_order |
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| 54 | ---- |
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| 55 | \ n |
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| 56 | (B + iB )/ B rho = > (iA + B ) (x + iy) |
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| 57 | y x / n n |
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| 58 | ---- |
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| 59 | n=0 |
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| 60 | |
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| 61 | A,B: i=0 ... max_order |
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| 62 | [0] - dipole, [1] - quadrupole, [2] - sextupole ... |
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| 63 | units for A,B[i] = 1/[m]^(i+1) |
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| 64 | Coeficients are stroed in the PolynomA, PolynomB field of the element |
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| 65 | structure in MATLAB |
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| 66 | |
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| 67 | A[i] (C++,C) = PolynomA(i+1) (MATLAB) |
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| 68 | B[i] (C++,C) = PolynomB(i+1) (MATLAB) |
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| 69 | i = 0 .. MaxOrder |
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| 70 | |
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| 71 | ******************************************************************************/ |
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| 72 | { int i; |
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| 73 | double ReSum = B[max_order]; |
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| 74 | double ImSum = A[max_order]; |
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| 75 | double B0temp,A0temp; |
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| 76 | double ReSumTemp; |
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| 77 | |
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| 78 | B0temp=B[0]; |
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| 79 | B[0]=0.0; |
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| 80 | A0temp=A[0]; |
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| 81 | A[0]=0.0; |
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| 82 | |
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| 83 | /* thin multipole kick: quadrupole and higher */ |
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| 84 | |
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| 85 | for(i=max_order-1;i>=0;i--) |
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| 86 | { ReSumTemp = ReSum*r[0] - ImSum*r[2] + B[i]; |
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| 87 | ImSum = ImSum*r[0] + ReSum*r[2] + A[i]; |
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| 88 | ReSum = ReSumTemp; |
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| 89 | } |
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| 90 | |
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| 91 | r[1] -= ReSum; |
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| 92 | r[3] += ImSum; |
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| 93 | |
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| 94 | B[0]=B0temp; |
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| 95 | A[0]=A0temp; |
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| 96 | |
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| 97 | /* dispersion prime from energy dependend dipole kick */ |
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| 98 | r[1] += B0temp*r[4]; |
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| 99 | r[3] -= A0temp*r[4]; |
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| 100 | |
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| 101 | /* path lengthening */ |
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| 102 | r[5] -= B0temp*r[0]-A0temp*r[2]; |
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| 103 | } |
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| 104 | |
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| 105 | |
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| 106 | |
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| 107 | |
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| 108 | |
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| 109 | void ThinMPolePass(double *r, double *A, double *B, int max_order, int num_particles) |
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| 110 | |
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| 111 | |
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| 112 | { int c; |
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| 113 | double *r6; |
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| 114 | |
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| 115 | for(c = 0;c<num_particles;c++) /* Loop over particles */ |
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| 116 | { r6 = r+c*6; |
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| 117 | strthinkick(r6, A, B, max_order); |
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| 118 | } |
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| 119 | } |
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| 120 | |
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| 121 | |
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| 122 | |
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| 123 | ExportMode int* passFunction(const mxArray *ElemData, int *FieldNumbers, |
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| 124 | double *r_in, int num_particles, int mode) |
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| 125 | |
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| 126 | #define NUM_FIELDS_2_REMEMBER 3 |
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| 127 | |
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| 128 | |
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| 129 | { double *A , *B; |
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| 130 | int max_order; |
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| 131 | int *returnptr; |
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| 132 | int *NewFieldNumbers,fnum; |
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| 133 | mxArray *tmpmxptr; |
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| 134 | |
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| 135 | |
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| 136 | switch(mode) |
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| 137 | { case NO_LOCAL_COPY: /* Get fields by names from MATLAB workspace */ |
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| 138 | { tmpmxptr =mxGetField(ElemData,0,"PolynomA"); |
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| 139 | if(tmpmxptr) |
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| 140 | A = mxGetPr(tmpmxptr); |
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| 141 | else |
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| 142 | mexErrMsgTxt("Required field 'PolynomA' was not found in the element data structure"); |
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| 143 | |
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| 144 | tmpmxptr =mxGetField(ElemData,0,"PolynomB"); |
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| 145 | if(tmpmxptr) |
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| 146 | B = mxGetPr(tmpmxptr); |
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| 147 | else |
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| 148 | mexErrMsgTxt("Required field 'PolynomB' was not found in the element data structure"); |
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| 149 | |
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| 150 | tmpmxptr = mxGetField(ElemData,0,"MaxOrder"); |
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| 151 | if(tmpmxptr) |
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| 152 | max_order = (int)mxGetScalar(tmpmxptr); |
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| 153 | else |
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| 154 | mexErrMsgTxt("Required field 'MaxOrder' was not found in the element data structure"); |
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| 155 | returnptr = NULL; |
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| 156 | |
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| 157 | } break; |
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| 158 | |
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| 159 | case MAKE_LOCAL_COPY: /* Find field numbers first |
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| 160 | Save a list of field number in an array |
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| 161 | and make returnptr point to that array |
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| 162 | */ |
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| 163 | { |
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| 164 | /* Allocate memory for integer array of |
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| 165 | field numbers for faster futurereference |
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| 166 | */ |
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| 167 | |
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| 168 | NewFieldNumbers = (int*)mxCalloc(NUM_FIELDS_2_REMEMBER,sizeof(int)); |
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| 169 | |
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| 170 | /* Populate */ |
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| 171 | fnum = mxGetFieldNumber(ElemData,"PolynomA"); |
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| 172 | if(fnum<0) |
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| 173 | mexErrMsgTxt("Required field 'PolynomA' was not found in the element data structure"); |
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| 174 | NewFieldNumbers[0] = fnum; |
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| 175 | |
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| 176 | fnum = mxGetFieldNumber(ElemData,"PolynomB"); |
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| 177 | if(fnum<0) |
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| 178 | mexErrMsgTxt("Required field 'PolynomB' was not found in the element data structure"); |
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| 179 | NewFieldNumbers[1] = fnum; |
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| 180 | |
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| 181 | |
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| 182 | |
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| 183 | fnum = mxGetFieldNumber(ElemData,"MaxOrder"); |
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| 184 | if(fnum<0) |
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| 185 | mexErrMsgTxt("Required field 'MaxOrder' was not found in the element data structure"); |
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| 186 | NewFieldNumbers[2] = fnum; |
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| 187 | |
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| 188 | A = mxGetPr(mxGetFieldByNumber(ElemData,0,NewFieldNumbers[0])); |
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| 189 | B = mxGetPr(mxGetFieldByNumber(ElemData,0,NewFieldNumbers[1])); |
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| 190 | max_order = (int)mxGetScalar(mxGetFieldByNumber(ElemData,0,NewFieldNumbers[2])); |
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| 191 | |
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| 192 | returnptr = NewFieldNumbers; |
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| 193 | |
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| 194 | } break; |
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| 195 | |
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| 196 | case USE_LOCAL_COPY: /* Get fields from MATLAB using field numbers |
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| 197 | The second argument ponter to the array of field |
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| 198 | numbers is previously created with |
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| 199 | QuadLinPass( ..., MAKE_LOCAL_COPY) |
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| 200 | */ |
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| 201 | |
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| 202 | { A = mxGetPr(mxGetFieldByNumber(ElemData,0,FieldNumbers[0])); |
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| 203 | B = mxGetPr(mxGetFieldByNumber(ElemData,0,FieldNumbers[1])); |
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| 204 | max_order = (int)mxGetScalar(mxGetFieldByNumber(ElemData,0,FieldNumbers[2])); |
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| 205 | |
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| 206 | returnptr = FieldNumbers; |
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| 207 | } break; |
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| 208 | default: |
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| 209 | { mexErrMsgTxt("No match for calling mode in function ThinMPolePass\n"); |
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| 210 | } |
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| 211 | } |
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| 212 | |
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| 213 | ThinMPolePass(r_in,A, B, max_order,num_particles); |
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| 214 | |
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| 215 | return(returnptr); |
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| 216 | |
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| 217 | } |
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| 218 | |
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| 219 | |
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| 220 | |
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| 221 | |
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| 222 | |
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| 223 | |
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| 224 | |
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| 225 | |
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| 226 | void mexFunction( int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) |
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| 227 | { int m,n; |
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| 228 | double *r_in; |
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| 229 | double *A, *B ; |
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| 230 | int max_order; |
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| 231 | mxArray *tmpmxptr; |
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| 232 | |
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| 233 | |
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| 234 | /* ALLOCATE memory for the output array of the same size as the input */ |
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| 235 | m = mxGetM(prhs[1]); |
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| 236 | n = mxGetN(prhs[1]); |
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| 237 | if(m!=6) |
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| 238 | mexErrMsgTxt("Second argument must be a 6 x N matrix"); |
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| 239 | |
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| 240 | |
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| 241 | tmpmxptr =mxGetField(prhs[0],0,"PolynomA"); |
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| 242 | if(tmpmxptr) |
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| 243 | A = mxGetPr(tmpmxptr); |
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| 244 | else |
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| 245 | mexErrMsgTxt("Required field 'PolynomA' was not found in the element data structure"); |
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| 246 | |
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| 247 | tmpmxptr =mxGetField(prhs[0],0,"PolynomB"); |
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| 248 | if(tmpmxptr) |
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| 249 | B = mxGetPr(tmpmxptr); |
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| 250 | else |
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| 251 | mexErrMsgTxt("Required field 'PolynomB' was not found in the element data structure"); |
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| 252 | |
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| 253 | tmpmxptr = mxGetField(prhs[0],0,"MaxOrder"); |
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| 254 | if(tmpmxptr) |
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| 255 | max_order = (int)mxGetScalar(tmpmxptr); |
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| 256 | else |
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| 257 | mexErrMsgTxt("Required field 'MaxOrder' was not found in the element data structure"); |
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| 258 | |
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| 259 | plhs[0] = mxDuplicateArray(prhs[1]); |
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| 260 | r_in = mxGetPr(plhs[0]); |
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| 261 | |
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| 262 | ThinMPolePass(r_in,A,B,max_order, n); |
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| 263 | |
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| 264 | |
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| 265 | } |
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| 266 | |
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| 267 | |
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| 268 | |
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