1 | /* findmpoleraddifmatrix.c |
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2 | |
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3 | mex-function to calculate radiation diffusion matrix B defined in [2] |
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4 | for multipole elements in MATLAB Accelerator Toolbox |
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5 | A.Terebilo 8/14/00 |
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6 | |
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7 | References |
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8 | [1] M.Sands 'The Physics of Electron Storage Rings |
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9 | [2] Ohmi, Kirata, Oide 'From the beam-envelope matrix to synchrotron |
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10 | radiation integrals', Phys.Rev.E Vol.49 p.751 (1994) |
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11 | */ |
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12 | |
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13 | #include "mex.h" |
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14 | #include "atlalib.c" |
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15 | #include <math.h> |
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16 | |
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17 | |
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18 | /* Fourth order-symplectic integrator constants */ |
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19 | |
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20 | #define DRIFT1 0.6756035959798286638 |
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21 | #define DRIFT2 -0.1756035959798286639 |
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22 | #define KICK1 1.351207191959657328 |
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23 | #define KICK2 -1.702414383919314656 |
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24 | |
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25 | /* Physical constants used in the calculations */ |
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26 | |
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27 | #define TWOPI 6.28318530717959 |
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28 | #define CGAMMA 8.846056192e-05 /* [m]/[GeV^3] Ref[1] (4.1) */ |
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29 | #define M0C2 5.10999060e5 /* Electron rest mass [eV] */ |
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30 | #define LAMBDABAR 3.86159323e-13 /* Compton wavelength/2pi [m] */ |
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31 | #define CER 2.81794092e-15 /* Classical electron radius [m] */ |
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32 | #define CU 1.323094366892892 /* 55/(24*sqrt(3)) factor */ |
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33 | |
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34 | |
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35 | |
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36 | #define SQR(X) ((X)*(X)) |
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37 | |
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38 | |
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39 | |
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40 | void smpledge(double* r, double inv_rho, double angle) |
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41 | { double psi = inv_rho*tan(angle); |
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42 | r[1]+=r[0]*psi; |
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43 | r[3]-=r[2]*psi; |
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44 | } |
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45 | |
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46 | |
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47 | double B2perp(double bx, double by, double irho, |
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48 | double x, double xpr, double y, double ypr) |
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49 | /* Calculates sqr(|e x B|) , where e is a unit vector in the direction of velocity */ |
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50 | |
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51 | { double v_norm2; |
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52 | v_norm2 = 1/(SQR(1+x*irho)+ SQR(xpr) + SQR(ypr)); |
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53 | |
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54 | /* components of the velocity vector |
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55 | double ex, ey, ez; |
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56 | ex = xpr; |
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57 | ey = ypr; |
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58 | ez = (1+x*irho); |
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59 | */ |
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60 | |
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61 | return((SQR(by*(1+x*irho)) + SQR(bx*(1+x*irho)) + SQR(bx*ypr - by*xpr) )*v_norm2) ; |
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62 | |
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63 | |
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64 | |
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65 | } |
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66 | |
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67 | |
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68 | void thinkickrad(double* r, double* A, double* B, double L, double irho, double E0, int max_order) |
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69 | |
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70 | /***************************************************************************** |
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71 | Calculate and apply a multipole kick to a phase space vector *r in a multipole element. |
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72 | The reference coordinate system may have the curvature given by the inverse |
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73 | (design) radius irho. irho = 0 for straight elements |
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74 | |
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75 | IMPORTANT !!! |
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76 | The desighn magnetic field Byo that provides this curvature By0 = irho * E0 /(c*e) |
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77 | MUST NOT be included in the dipole term PolynomB(1)(MATLAB notation)(B[0] C notation) |
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78 | of the By field expansion |
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79 | HOWEVER!!! to calculate the effect of classical radiation the full field must be |
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80 | used in the square of the |v x B|. |
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81 | When calling B2perp(Bx, By, ...), use the By = ReSum + irho, where ReSum is the |
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82 | normalized vertical field - sum of the polynomial terms in PolynomB. |
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83 | |
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84 | The kick is given by |
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85 | |
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86 | e L L delta L x |
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87 | theta = - --- B + ------- - ----- , |
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88 | x p y rho 2 |
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89 | 0 rho |
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90 | |
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91 | e L |
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92 | theta = --- B |
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93 | y p x |
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94 | 0 |
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95 | |
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96 | Note: in the US convention the field is written as: |
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97 | |
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98 | max_order+1 |
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99 | ---- |
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100 | \ n-1 |
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101 | (B + iB ) = B rho > (ia + b ) (x + iy) |
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102 | y x / n n |
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103 | ---- |
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104 | n=1 |
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105 | |
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106 | Use different index notation |
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107 | |
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108 | max_order |
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109 | ---- |
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110 | \ n |
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111 | (B + iB )/ B rho = > (iA + B ) (x + iy) |
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112 | y x / n n |
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113 | ---- |
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114 | n=0 |
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115 | |
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116 | A,B: i=0 ... i=max_order |
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117 | [0] - dipole, [1] - quadrupole, [2] - sextupole ... |
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118 | units for A,B[i] = 1/[m]^(i+1) |
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119 | Coeficients are stored in the PolynomA, PolynomB field of the element |
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120 | structure in MATLAB |
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121 | |
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122 | |
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123 | ******************************************************************************/ |
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124 | { int i; |
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125 | double ImSum = A[max_order]; |
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126 | double ReSum = B[max_order]; |
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127 | double x ,xpr, y, ypr, p_norm,dp_0, B2P; |
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128 | double ReSumTemp; |
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129 | double CRAD = CGAMMA*E0*E0*E0/(TWOPI*1e27); |
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130 | |
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131 | /* recursively calculate the local transvrese magnetic field |
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132 | Bx = ReSum, By = ImSum |
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133 | */ |
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134 | for(i=max_order-1;i>=0;i--) |
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135 | { ReSumTemp = ReSum*r[0] - ImSum*r[2] + B[i]; |
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136 | ImSum = ImSum*r[0] + ReSum*r[2] + A[i]; |
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137 | ReSum = ReSumTemp; |
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138 | } |
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139 | |
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140 | |
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141 | /* calculate angles from momentas */ |
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142 | p_norm = 1/(1+r[4]); |
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143 | x = r[0]; |
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144 | xpr = r[1]*p_norm; |
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145 | y = r[2]; |
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146 | ypr = r[3]*p_norm; |
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147 | |
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148 | |
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149 | B2P = B2perp(ImSum, ReSum +irho, irho, x , xpr, y ,ypr); |
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150 | |
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151 | dp_0 = r[4]; /* save a copy of the initial value of dp/p */ |
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152 | |
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153 | r[4] = r[4] - CRAD*SQR(1+r[4])*B2P*(1 + x*irho + (SQR(xpr)+SQR(ypr))/2 )*L; |
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154 | |
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155 | /* recalculate momentums from angles after losing energy to radiation */ |
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156 | p_norm = 1/(1+r[4]); |
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157 | r[1] = xpr/p_norm; |
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158 | r[3] = ypr/p_norm; |
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159 | |
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160 | |
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161 | r[1] -= L*(ReSum-(dp_0-r[0]*irho)*irho); |
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162 | r[3] += L*ImSum; |
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163 | r[5] += L*irho*r[0]; /* pathlength */ |
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164 | |
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165 | |
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166 | } |
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167 | |
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168 | void thinkickM(double* orbit_in, double* A, double* B, double L, |
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169 | double irho, int max_order, double *M66) |
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170 | /* Calculate the symplectic (no radiation) transfer matrix of a |
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171 | thin multipole kick near the entrance point orbit_in |
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172 | For elements with straight coordinate system irho = 0 |
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173 | For curved elements the B polynomial (PolynomB in MATLAB) |
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174 | MUST NOT include the guide field By0 = irho * E0 /(c*e) |
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175 | |
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176 | M is a (*double) pointer to a preallocated 1-dimentional array |
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177 | of 36 elements of matrix M arranged column-by-column |
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178 | */ |
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179 | { int m,n; |
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180 | |
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181 | double ReSumNTemp; |
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182 | double ImSumN = max_order*A[max_order]; |
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183 | double ReSumN = max_order*B[max_order]; |
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184 | |
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185 | /* Recursively calculate the derivatives |
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186 | ReSumN = (irho/B0)*Re(d(By + iBx)/dx) |
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187 | ImSumN = (irho/B0)*Im(d(By + iBx)/dy) |
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188 | */ |
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189 | for(n=max_order-1;n>0;n--) |
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190 | { ReSumNTemp = (ReSumN*orbit_in[0] - ImSumN*orbit_in[2]) + n*B[n]; |
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191 | ImSumN = ImSumN*orbit_in[0] + ReSumN*orbit_in[2] + n*A[n]; |
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192 | ReSumN = ReSumNTemp; |
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193 | } |
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194 | |
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195 | /* Initialize M66 to a 6-by-6 identity matrix */ |
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196 | for(m=0;m<36;m++) |
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197 | M66[m]= 0; |
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198 | /* Set diagonal elements to 1 */ |
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199 | for(m=0;m<6;m++) |
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200 | M66[m*7] = 1; |
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201 | |
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202 | /* The relationship between indexes when a 6-by-6 matrix is |
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203 | represented in MATLAB as one-dimentional array containing |
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204 | 36 elements arranged column-by-column is |
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205 | [i][j] <---> [i+6*j] |
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206 | */ |
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207 | |
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208 | M66[1] = -L*ReSumN; /* [1][0] */ |
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209 | M66[13] = L*ImSumN; /* [1][2] */ |
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210 | M66[3] = L*ImSumN; /* [3][0] */ |
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211 | M66[15] = L*ReSumN; /* [3][2] */ |
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212 | M66[25] = L*irho; /* [1][4] */ |
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213 | M66[1] += -L*irho*irho; /* [1][0] */ |
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214 | M66[5] = L*irho; /* [5][0] */ |
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215 | |
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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 | void thinkickB(double* orbit_in, double* A, double* B, double L, |
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221 | double irho, int max_order, double E0, double *B66) |
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222 | |
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223 | /* Calculate Ohmi's diffusion matrix of a thin multipole element |
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224 | For elements with straight coordinate system irho = 0 |
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225 | For curved elements the B polynomial (PolynomB in MATLAB) |
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226 | MUST NOT include the guide field By0 = irho * E0 /(c*e) |
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227 | The result is stored in a preallocated 1-dimentional array B66 |
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228 | of 36 elements of matrix B arranged column-by-column |
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229 | */ |
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230 | |
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231 | { double BB,B2P,B3P; |
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232 | int i; |
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233 | double p_norm = 1/(1+orbit_in[4]); |
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234 | double p_norm2 = SQR(p_norm); |
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235 | double ImSum = A[max_order]; |
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236 | double ReSum = B[max_order]; |
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237 | double ReSumTemp; |
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238 | |
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239 | /* recursively calculate the local transvrese magnetic field |
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240 | ReSum = irho*By/B0 |
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241 | ImSum = irho*Bx/B0 |
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242 | */ |
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243 | |
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244 | for(i=max_order-1;i>=0;i--) |
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245 | { ReSumTemp = ReSum*orbit_in[0] - ImSum*orbit_in[2] + B[i]; |
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246 | ImSum = ImSum*orbit_in[0] + ReSum*orbit_in[2] + A[i]; |
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247 | ReSum = ReSumTemp; |
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248 | } |
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249 | |
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250 | |
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251 | /* calculate |B x n|^3 - the third power of the B field component |
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252 | orthogonal to the normalized velocity vector n |
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253 | */ |
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254 | B2P = B2perp(ImSum, ReSum +irho, irho, orbit_in[0] , orbit_in[1]*p_norm , |
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255 | orbit_in[2] , orbit_in[3]*p_norm ); |
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256 | B3P = B2P*sqrt(B2P); |
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257 | |
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258 | BB = CU * CER * LAMBDABAR * pow(E0/M0C2,5) * L * B3P * SQR(SQR(1+orbit_in[4]))* |
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259 | (1+orbit_in[0]*irho + (SQR(orbit_in[1])+SQR(orbit_in[3]))*p_norm2/2); |
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260 | |
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261 | |
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262 | /* When a 6-by-6 matrix is represented in MATLAB as one-dimentional |
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263 | array containing 36 elements arranged column-by-column, |
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264 | the relationship between indexes is |
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265 | [i][j] <---> [i+6*j] |
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266 | |
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267 | */ |
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268 | |
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269 | /* initialize B66 to 0 */ |
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270 | for(i=0;i<36;i++) |
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271 | B66[i] = 0; |
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272 | |
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273 | /* Populate B66 */ |
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274 | B66[7] = BB*SQR(orbit_in[1])*p_norm2; |
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275 | B66[19] = BB*orbit_in[1]*orbit_in[3]*p_norm2; |
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276 | B66[9] = BB*B66[19]; |
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277 | B66[21] = BB*SQR(orbit_in[3])*p_norm2; |
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278 | B66[10] = BB*orbit_in[1]*p_norm; |
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279 | B66[25] = BB*B66[10]; |
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280 | B66[22] = BB*orbit_in[3]*p_norm; |
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281 | B66[27] = BB* B66[22]; |
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282 | B66[28] = BB; |
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283 | } |
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284 | |
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285 | |
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286 | |
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287 | |
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288 | |
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289 | void drift_propagateB(double *orb_in, double L, double *B) |
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290 | { /* Propagate cumulative Ohmi's diffusion matrix B through a drift |
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291 | B is a (*double) pointer to 1-dimentional array |
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292 | containing 36 elements of matrix elements arranged column-by-column |
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293 | as in MATLAB representation |
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294 | |
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295 | The relationship between indexes when a 6-by-6 matrix is |
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296 | represented in MATLAB as one-dimentional array containing |
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297 | 36 elements arranged column-by-column is |
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298 | [i][j] <---> [i+6*j] |
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299 | */ |
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300 | |
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301 | int m; |
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302 | |
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303 | double *DRIFTMAT = (double*)mxCalloc(36,sizeof(double)); |
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304 | for(m=0;m<36;m++) |
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305 | DRIFTMAT[m] = 0; |
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306 | /* Set diagonal elements to 1 */ |
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307 | for(m=0;m<6;m++) |
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308 | DRIFTMAT[m*7] = 1; |
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309 | |
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310 | DRIFTMAT[6] = L/(1+orb_in[4]); |
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311 | DRIFTMAT[20] = DRIFTMAT[6]; |
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312 | DRIFTMAT[24] = -L*orb_in[1]/SQR(1+orb_in[4]); |
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313 | DRIFTMAT[26] = -L*orb_in[3]/SQR(1+orb_in[4]); |
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314 | DRIFTMAT[11] = L*orb_in[1]/SQR(1+orb_in[4]); |
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315 | DRIFTMAT[23] = L*orb_in[3]/SQR(1+orb_in[4]); |
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316 | DRIFTMAT[29] = -L*(SQR(orb_in[1])+SQR(orb_in[3]))/((1+orb_in[4])*SQR(1+orb_in[4])); |
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317 | |
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318 | ATsandwichmmt(DRIFTMAT,B); |
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319 | mxFree(DRIFTMAT); |
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320 | |
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321 | } |
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322 | |
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323 | |
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324 | void edge_propagateB(double inv_rho, double angle, double *B) |
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325 | |
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326 | { /* Propagate Ohmi's diffusion matrix B |
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327 | through a focusing edge B -> E*B*E' |
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328 | where E is a linear map of an edge |
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329 | */ |
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330 | int m; |
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331 | double psi = inv_rho*tan(angle); |
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332 | |
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333 | for(m=0;m<6;m++) |
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334 | { B[1+6*m] += psi*B[6*m]; |
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335 | B[3+6*m] -= psi*B[2+6*m]; |
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336 | } |
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337 | for(m=0;m<6;m++) |
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338 | { B[m+6*1] += psi*B[m+6*0]; |
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339 | B[m+6*3] -= psi*B[m+6*2]; |
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340 | } |
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341 | } |
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342 | |
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343 | void FindElemB(double *orbit_in, double le, double irho, double *A, double *B, |
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344 | double *pt1, double* pt2,double *PR1, double *PR2, |
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345 | double entrance_angle, double exit_angle, |
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346 | int max_order, int num_int_steps, |
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347 | double E0, double *BDIFF) |
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348 | |
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349 | { /* Find Ohmi's diffusion matrix BDIFF of a thick multipole |
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350 | BDIFF - cumulative Ohmi's diffusion is initialized to 0 |
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351 | BDIFF is preallocated 1 dimensional array to store 6-by-6 matrix |
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352 | columnwise |
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353 | */ |
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354 | |
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355 | int m; |
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356 | double *MKICK, *BKICK; |
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357 | |
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358 | /* 4-th order symplectic integrator constants */ |
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359 | double SL, L1, L2, K1, K2; |
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360 | SL = le/num_int_steps; |
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361 | L1 = SL*DRIFT1; |
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362 | L2 = SL*DRIFT2; |
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363 | K1 = SL*KICK1; |
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364 | K2 = SL*KICK2; |
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365 | |
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366 | |
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367 | /* Allocate memory for thin kick matrix MKICK |
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368 | and a diffusion matrix BKICK |
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369 | */ |
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370 | MKICK = (double*)mxCalloc(36,sizeof(double)); |
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371 | BKICK = (double*)mxCalloc(36,sizeof(double)); |
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372 | for(m=0; m < 6; m++) |
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373 | { MKICK[m] = 0; |
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374 | BKICK[m] = 0; |
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375 | } |
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376 | |
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377 | /* Transform orbit to a local coordinate system of an element */ |
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378 | |
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379 | ATaddvv(orbit_in,pt1); |
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380 | ATmultmv(orbit_in,PR1); |
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381 | |
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382 | /* This coordinate transformation does not affect |
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383 | the cumulative diffusion matrix BDIFF |
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384 | E*BDIFF*E' : BDIFF stays zero |
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385 | |
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386 | */ |
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387 | smpledge(orbit_in, irho, entrance_angle); /* change in the input orbit |
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388 | from edge focusing |
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389 | */ |
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390 | |
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391 | edge_propagateB(irho,entrance_angle,BDIFF); /* propagate the initial |
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392 | MRAD and BDIFF through |
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393 | the entrance edge |
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394 | */ |
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395 | |
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396 | /* Propagate orbit_in and BDIFF through a 4-th orderintegrator */ |
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397 | |
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398 | for(m=0; m < num_int_steps; m++) /* Loop over slices */ |
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399 | { drift_propagateB(orbit_in,L1, BDIFF); |
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400 | ATdrift6(orbit_in,L1); |
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401 | |
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402 | thinkickM(orbit_in, A,B, K1, irho, max_order, MKICK); |
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403 | thinkickB(orbit_in, A,B, K1, irho, max_order, E0, BKICK); |
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404 | ATsandwichmmt(MKICK,BDIFF); |
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405 | ATaddmm(BKICK,BDIFF); |
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406 | thinkickrad(orbit_in, A, B, K1, irho, E0, max_order); |
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407 | |
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408 | drift_propagateB(orbit_in,L2, BDIFF); |
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409 | ATdrift6(orbit_in,L2); |
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410 | |
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411 | thinkickM(orbit_in, A,B, K2, irho, max_order, MKICK); |
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412 | thinkickB(orbit_in, A,B, K2, irho, max_order, E0, BKICK); |
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413 | ATsandwichmmt(MKICK,BDIFF); |
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414 | ATaddmm(BKICK,BDIFF); |
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415 | thinkickrad(orbit_in, A, B, K2, irho, E0, max_order); |
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416 | |
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417 | drift_propagateB(orbit_in,L2, BDIFF); |
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418 | ATdrift6(orbit_in,L2); |
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419 | |
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420 | thinkickM(orbit_in, A,B, K1, irho, max_order, MKICK); |
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421 | thinkickB(orbit_in, A,B, K1, irho, max_order, E0, BKICK); |
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422 | ATsandwichmmt(MKICK,BDIFF); |
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423 | ATaddmm(BKICK,BDIFF); |
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424 | thinkickrad(orbit_in, A, B, K1, irho, E0, max_order); |
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425 | |
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426 | drift_propagateB(orbit_in,L1, BDIFF); |
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427 | ATdrift6(orbit_in,L1); |
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428 | } |
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429 | smpledge(orbit_in, irho, exit_angle); |
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430 | edge_propagateB(irho,exit_angle,BDIFF); |
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431 | |
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432 | ATsandwichmmt(PR2,BDIFF); |
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433 | |
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434 | mxFree(MKICK); |
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435 | mxFree(BKICK); |
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436 | } |
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437 | |
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438 | |
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439 | void mexFunction( int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) |
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440 | /* The calling syntax of this mex-function from MATLAB is |
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441 | FindMPoleRadDiffMatrix(ELEMENT, ORBIT) |
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442 | ELEMENT is the element structure with field names consistent with |
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443 | a multipole transverse field model. |
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444 | ORBIT is a 6-by-1 vector of the closed orbit at the entrance (calculated elsewhere) |
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445 | */ |
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446 | { int m,n; |
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447 | double le, ba, *A, *B; |
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448 | double irho; |
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449 | const mxArray * globvalptr; |
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450 | mxArray *E0ptr; |
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451 | double E0; /* Design energy [eV] to be obtained from MATLAB global workspace */ |
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452 | int max_order, num_int_steps; |
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453 | double entrance_angle, exit_angle ; |
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454 | double *BDIFF; |
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455 | mxArray *mxtemp; |
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456 | |
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457 | double *orb, *orb0; |
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458 | double *pt1, *pt2, *PR1, *PR2; |
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459 | |
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460 | |
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461 | m = mxGetM(prhs[1]); |
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462 | n = mxGetN(prhs[1]); |
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463 | if(!(m==6 && n==1)) |
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464 | mexErrMsgTxt("Second argument must be a 6-by-1 column vector"); |
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465 | |
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466 | /* ALLOCATE memory for the output array */ |
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467 | plhs[0] = mxCreateDoubleMatrix(6,6,mxREAL); |
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468 | BDIFF = mxGetPr(plhs[0]); |
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469 | |
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470 | |
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471 | /* If the ELEMENT sructure does not have fields PolynomA and PolynomB |
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472 | return zero matrix and exit |
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473 | */ |
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474 | if(mxGetField(prhs[0],0,"PolynomA") == NULL || mxGetField(prhs[0],0,"PolynomB") == NULL) |
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475 | return; |
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476 | |
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477 | |
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478 | /* retrieve the value of design Energy [GeV] |
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479 | contained in MATLAB global variable GLOBVAL. |
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480 | GLOBVAL is a MATLAB structure |
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481 | GLOBVAL.E0 contains the design energy of the ring [eV] |
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482 | */ |
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483 | |
---|
484 | globvalptr=mexGetArrayPtr("GLOBVAL","global"); |
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485 | if(globvalptr != NULL) |
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486 | { E0ptr = mxGetField(globvalptr,0,"E0"); |
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487 | if(E0ptr !=NULL) |
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488 | E0 = mxGetScalar(E0ptr); |
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489 | else |
---|
490 | mexErrMsgTxt("Global variable GLOBVAL does not have a field 'E0'"); |
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491 | } |
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492 | else |
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493 | mexErrMsgTxt("Global variable GLOBVAL does not exist"); |
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494 | |
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495 | orb0 = mxGetPr(prhs[1]); |
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496 | /* make local copy of the input closed orbit vector */ |
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497 | orb = (double*)mxCalloc(6,sizeof(double)); |
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498 | for(m=0;m<6;m++) |
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499 | orb[m] = orb0[m]; |
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500 | |
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501 | /* Retrieve element information */ |
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502 | |
---|
503 | le = mxGetScalar(mxGetField(prhs[0],0,"Length")); |
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504 | |
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505 | /* If ELEMENT has a zero length, return zeros matrix end exit */ |
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506 | if(le == 0) |
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507 | return; |
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508 | |
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509 | A = mxGetPr(mxGetField(prhs[0],0,"PolynomA")); |
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510 | B = mxGetPr(mxGetField(prhs[0],0,"PolynomB")); |
---|
511 | |
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512 | |
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513 | |
---|
514 | |
---|
515 | mxtemp = mxGetField(prhs[0],0,"NumIntSteps"); |
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516 | if(mxtemp != NULL) |
---|
517 | num_int_steps = (int)mxGetScalar(mxtemp); |
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518 | else |
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519 | mexErrMsgTxt("Field 'NumIntSteps' not found in the ELEMENT structure"); |
---|
520 | |
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521 | mxtemp = mxGetField(prhs[0],0,"MaxOrder"); |
---|
522 | if(mxtemp != NULL) |
---|
523 | max_order = (int)mxGetScalar(mxtemp); |
---|
524 | else |
---|
525 | mexErrMsgTxt("Field 'MaxOrder' not found in the ELEMENT structure"); |
---|
526 | |
---|
527 | |
---|
528 | mxtemp = mxGetField(prhs[0],0,"BendingAngle"); |
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529 | if(mxtemp != NULL) |
---|
530 | { ba = mxGetScalar(mxtemp); |
---|
531 | irho = ba/le; |
---|
532 | } |
---|
533 | else |
---|
534 | { ba = 0; |
---|
535 | irho = 0; |
---|
536 | } |
---|
537 | |
---|
538 | mxtemp = mxGetField(prhs[0],0,"EntranceAngle"); |
---|
539 | if(mxtemp != NULL) |
---|
540 | entrance_angle = mxGetScalar(mxtemp); |
---|
541 | else |
---|
542 | entrance_angle =0; |
---|
543 | |
---|
544 | mxtemp = mxGetField(prhs[0],0,"ExitAngle"); |
---|
545 | if(mxtemp != NULL) |
---|
546 | exit_angle = mxGetScalar(mxtemp); |
---|
547 | else |
---|
548 | exit_angle =0; |
---|
549 | |
---|
550 | pt1 = mxGetPr(mxGetField(prhs[0],0,"T1")); |
---|
551 | pt2 = mxGetPr(mxGetField(prhs[0],0,"T2")); |
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552 | PR1 = mxGetPr(mxGetField(prhs[0],0,"R1")); |
---|
553 | PR2 = mxGetPr(mxGetField(prhs[0],0,"R2")); |
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554 | |
---|
555 | |
---|
556 | FindElemB(orb, le, irho, A, B, |
---|
557 | pt1, pt2, PR1, PR2, |
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558 | entrance_angle, exit_angle, |
---|
559 | max_order, num_int_steps, E0, BDIFF); |
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560 | } |
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561 | |
---|
562 | |
---|