1 | /* |
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2 | ########################################################## |
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3 | # # |
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4 | # !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! # |
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5 | # !! !! # |
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6 | # !! KEEP THIS CODE CONSISTENT WITH KERNELPY.PY !! # |
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7 | # !! !! # |
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8 | # !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! # |
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9 | # # |
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10 | ########################################################## |
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11 | */ |
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12 | |
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13 | // NOTE: the following macros are defined in generate.py: |
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14 | // |
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15 | // MAX_PD : the maximum number of dispersity loops allowed for this model, |
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16 | // which will be at most modelinfo.MAX_PD. |
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17 | // NUM_PARS : the number of parameters in the parameter table |
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18 | // NUM_VALUES : the number of values to skip at the start of the |
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19 | // values array before you get to the dispersity values. |
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20 | // PARAMETER_TABLE : list of parameter declarations used to create the |
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21 | // ParameterTable type. |
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22 | // KERNEL_NAME : model_Iq, model_Iqxy or model_Imagnetic. This code is |
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23 | // included three times, once for each kernel type. |
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24 | // MAGNETIC : defined when the magnetic kernel is being instantiated |
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25 | // NUM_MAGNETIC : the number of magnetic parameters |
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26 | // MAGNETIC_PARS : a comma-separated list of indices to the sld |
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27 | // parameters in the parameter table. |
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28 | // CALL_VOLUME(table) : call the form volume function |
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29 | // CALL_IQ(q, table) : call the Iq function for 1D calcs. |
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30 | // CALL_IQ_A(q, table) : call the Iq function with |q| for 2D data. |
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31 | // CALL_IQ_AC(qa, qc, table) : call the Iqxy function for symmetric shapes |
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32 | // CALL_IQ_ABC(qa, qc, table) : call the Iqxy function for asymmetric shapes |
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33 | // INVALID(table) : test if the current point is feesible to calculate. This |
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34 | // will be defined in the kernel definition file. |
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35 | // PROJECTION : equirectangular=1, sinusoidal=2 |
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36 | // see explore/jitter.py for definitions. |
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37 | |
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38 | #ifndef _PAR_BLOCK_ // protected block so we can include this code twice. |
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39 | #define _PAR_BLOCK_ |
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40 | |
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41 | typedef struct { |
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42 | #if MAX_PD > 0 |
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43 | int32_t pd_par[MAX_PD]; // id of the nth dispersity variable |
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44 | int32_t pd_length[MAX_PD]; // length of the nth dispersity weight vector |
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45 | int32_t pd_offset[MAX_PD]; // offset of pd weights in the value & weight vector |
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46 | int32_t pd_stride[MAX_PD]; // stride to move to the next index at this level |
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47 | #endif // MAX_PD > 0 |
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48 | int32_t num_eval; // total number of voxels in hypercube |
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49 | int32_t num_weights; // total length of the weights vector |
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50 | int32_t num_active; // number of non-trivial pd loops |
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51 | int32_t theta_par; // id of first orientation variable |
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52 | } ProblemDetails; |
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53 | |
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54 | // Intel HD 4000 needs private arrays to be a multiple of 4 long |
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55 | typedef struct { |
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56 | PARAMETER_TABLE |
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57 | } ParameterTable; |
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58 | typedef union { |
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59 | ParameterTable table; |
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60 | double vector[4*((NUM_PARS+3)/4)]; |
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61 | } ParameterBlock; |
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62 | #endif // _PAR_BLOCK_ |
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63 | |
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64 | #if defined(MAGNETIC) && NUM_MAGNETIC > 0 |
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65 | // ===== Helper functions for magnetism ===== |
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66 | |
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67 | // Return value restricted between low and high |
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68 | static double clip(double value, double low, double high) |
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69 | { |
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70 | return (value < low ? low : (value > high ? high : value)); |
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71 | } |
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72 | |
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73 | // Compute spin cross sections given in_spin and out_spin |
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74 | // To convert spin cross sections to sld b: |
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75 | // uu * (sld - m_sigma_x); |
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76 | // dd * (sld + m_sigma_x); |
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77 | // ud * (m_sigma_y - 1j*m_sigma_z); |
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78 | // du * (m_sigma_y + 1j*m_sigma_z); |
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79 | // weights for spin crosssections: dd du real, ud real, uu, du imag, ud imag |
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80 | static void set_spin_weights(double in_spin, double out_spin, double spins[4]) |
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81 | { |
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82 | in_spin = clip(in_spin, 0.0, 1.0); |
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83 | out_spin = clip(out_spin, 0.0, 1.0); |
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84 | spins[0] = sqrt(sqrt((1.0-in_spin) * (1.0-out_spin))); // dd |
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85 | spins[1] = sqrt(sqrt((1.0-in_spin) * out_spin)); // du real |
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86 | spins[2] = sqrt(sqrt(in_spin * (1.0-out_spin))); // ud real |
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87 | spins[3] = sqrt(sqrt(in_spin * out_spin)); // uu |
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88 | spins[4] = spins[1]; // du imag |
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89 | spins[5] = spins[2]; // ud imag |
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90 | } |
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91 | |
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92 | // Compute the magnetic sld |
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93 | static double mag_sld( |
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94 | const int xs, // 0=dd, 1=du real, 2=ud real, 3=uu, 4=du imag, 5=up imag |
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95 | const double qx, const double qy, |
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96 | const double px, const double py, |
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97 | const double sld, |
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98 | const double mx, const double my, const double mz |
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99 | ) |
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100 | { |
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101 | if (xs < 4) { |
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102 | const double perp = qy*mx - qx*my; |
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103 | switch (xs) { |
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104 | case 0: // uu => sld - D M_perpx |
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105 | return sld - px*perp; |
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106 | case 1: // ud real => -D M_perpy |
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107 | return py*perp; |
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108 | case 2: // du real => -D M_perpy |
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109 | return py*perp; |
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110 | case 3: // dd real => sld + D M_perpx |
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111 | return sld + px*perp; |
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112 | } |
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113 | } else { |
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114 | if (xs== 4) { |
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115 | return -mz; // ud imag => -D M_perpz |
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116 | } else { // index == 5 |
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117 | return mz; // du imag => D M_perpz |
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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 | #endif |
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124 | |
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125 | // ===== Helper functions for orientation and jitter ===== |
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126 | |
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127 | // To change the definition of the angles, run explore/angles.py, which |
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128 | // uses sympy to generate the equations. |
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129 | |
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130 | #if !defined(_QAC_SECTION) && defined(CALL_IQ_AC) |
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131 | #define _QAC_SECTION |
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132 | |
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133 | typedef struct { |
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134 | double R31, R32; |
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135 | } QACRotation; |
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136 | |
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137 | // Fill in the rotation matrix R from the view angles (theta, phi) and the |
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138 | // jitter angles (dtheta, dphi). This matrix can be applied to all of the |
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139 | // (qx, qy) points in the image to produce R*[qx,qy]' = [qa,qc]' |
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140 | static void |
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141 | qac_rotation( |
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142 | QACRotation *rotation, |
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143 | double theta, double phi, |
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144 | double dtheta, double dphi) |
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145 | { |
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146 | double sin_theta, cos_theta; |
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147 | double sin_phi, cos_phi; |
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148 | |
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149 | // reverse view matrix |
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150 | SINCOS(theta*M_PI_180, sin_theta, cos_theta); |
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151 | SINCOS(phi*M_PI_180, sin_phi, cos_phi); |
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152 | const double V11 = cos_phi*cos_theta; |
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153 | const double V12 = sin_phi*cos_theta; |
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154 | const double V21 = -sin_phi; |
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155 | const double V22 = cos_phi; |
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156 | const double V31 = sin_theta*cos_phi; |
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157 | const double V32 = sin_phi*sin_theta; |
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158 | |
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159 | // reverse jitter matrix |
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160 | SINCOS(dtheta*M_PI_180, sin_theta, cos_theta); |
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161 | SINCOS(dphi*M_PI_180, sin_phi, cos_phi); |
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162 | const double J31 = sin_theta; |
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163 | const double J32 = -sin_phi*cos_theta; |
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164 | const double J33 = cos_phi*cos_theta; |
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165 | |
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166 | // reverse matrix |
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167 | rotation->R31 = J31*V11 + J32*V21 + J33*V31; |
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168 | rotation->R32 = J31*V12 + J32*V22 + J33*V32; |
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169 | } |
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170 | |
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171 | // Apply the rotation matrix returned from qac_rotation to the point (qx,qy), |
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172 | // returning R*[qx,qy]' = [qa,qc]' |
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173 | static double |
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174 | qac_apply( |
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175 | QACRotation rotation, |
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176 | double qx, double qy, |
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177 | double *qa_out, double *qc_out) |
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178 | { |
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179 | const double dqc = rotation.R31*qx + rotation.R32*qy; |
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180 | // Indirect calculation of qab, from qab^2 = |q|^2 - qc^2 |
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181 | const double dqa = sqrt(-dqc*dqc + qx*qx + qy*qy); |
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182 | |
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183 | *qa_out = dqa; |
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184 | *qc_out = dqc; |
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185 | } |
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186 | #endif // _QAC_SECTION |
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187 | |
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188 | #if !defined(_QABC_SECTION) && defined(CALL_IQ_ABC) |
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189 | #define _QABC_SECTION |
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190 | |
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191 | typedef struct { |
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192 | double R11, R12; |
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193 | double R21, R22; |
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194 | double R31, R32; |
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195 | } QABCRotation; |
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196 | |
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197 | // Fill in the rotation matrix R from the view angles (theta, phi, psi) and the |
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198 | // jitter angles (dtheta, dphi, dpsi). This matrix can be applied to all of the |
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199 | // (qx, qy) points in the image to produce R*[qx,qy]' = [qa,qb,qc]' |
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200 | static void |
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201 | qabc_rotation( |
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202 | QABCRotation *rotation, |
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203 | double theta, double phi, double psi, |
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204 | double dtheta, double dphi, double dpsi) |
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205 | { |
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206 | double sin_theta, cos_theta; |
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207 | double sin_phi, cos_phi; |
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208 | double sin_psi, cos_psi; |
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209 | |
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210 | // reverse view matrix |
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211 | SINCOS(theta*M_PI_180, sin_theta, cos_theta); |
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212 | SINCOS(phi*M_PI_180, sin_phi, cos_phi); |
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213 | SINCOS(psi*M_PI_180, sin_psi, cos_psi); |
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214 | const double V11 = -sin_phi*sin_psi + cos_phi*cos_psi*cos_theta; |
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215 | const double V12 = sin_phi*cos_psi*cos_theta + sin_psi*cos_phi; |
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216 | const double V21 = -sin_phi*cos_psi - sin_psi*cos_phi*cos_theta; |
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217 | const double V22 = -sin_phi*sin_psi*cos_theta + cos_phi*cos_psi; |
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218 | const double V31 = sin_theta*cos_phi; |
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219 | const double V32 = sin_phi*sin_theta; |
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220 | |
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221 | // reverse jitter matrix |
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222 | SINCOS(dtheta*M_PI_180, sin_theta, cos_theta); |
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223 | SINCOS(dphi*M_PI_180, sin_phi, cos_phi); |
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224 | SINCOS(dpsi*M_PI_180, sin_psi, cos_psi); |
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225 | const double J11 = cos_psi*cos_theta; |
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226 | const double J12 = sin_phi*sin_theta*cos_psi + sin_psi*cos_phi; |
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227 | const double J13 = sin_phi*sin_psi - sin_theta*cos_phi*cos_psi; |
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228 | const double J21 = -sin_psi*cos_theta; |
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229 | const double J22 = -sin_phi*sin_psi*sin_theta + cos_phi*cos_psi; |
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230 | const double J23 = sin_phi*cos_psi + sin_psi*sin_theta*cos_phi; |
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231 | const double J31 = sin_theta; |
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232 | const double J32 = -sin_phi*cos_theta; |
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233 | const double J33 = cos_phi*cos_theta; |
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234 | |
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235 | // reverse matrix |
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236 | rotation->R11 = J11*V11 + J12*V21 + J13*V31; |
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237 | rotation->R12 = J11*V12 + J12*V22 + J13*V32; |
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238 | rotation->R21 = J21*V11 + J22*V21 + J23*V31; |
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239 | rotation->R22 = J21*V12 + J22*V22 + J23*V32; |
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240 | rotation->R31 = J31*V11 + J32*V21 + J33*V31; |
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241 | rotation->R32 = J31*V12 + J32*V22 + J33*V32; |
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242 | } |
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243 | |
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244 | // Apply the rotation matrix returned from qabc_rotation to the point (qx,qy), |
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245 | // returning R*[qx,qy]' = [qa,qb,qc]' |
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246 | static double |
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247 | qabc_apply( |
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248 | QABCRotation rotation, |
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249 | double qx, double qy, |
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250 | double *qa_out, double *qb_out, double *qc_out) |
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251 | { |
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252 | *qa_out = rotation.R11*qx + rotation.R12*qy; |
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253 | *qb_out = rotation.R21*qx + rotation.R22*qy; |
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254 | *qc_out = rotation.R31*qx + rotation.R32*qy; |
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255 | } |
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256 | |
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257 | #endif // _QABC_SECTION |
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258 | |
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259 | |
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260 | // ==================== KERNEL CODE ======================== |
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261 | |
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262 | kernel |
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263 | void KERNEL_NAME( |
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264 | int32_t nq, // number of q values |
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265 | const int32_t pd_start, // where we are in the dispersity loop |
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266 | const int32_t pd_stop, // where we are stopping in the dispersity loop |
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267 | global const ProblemDetails *details, |
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268 | global const double *values, |
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269 | global const double *q, // nq q values, with padding to boundary |
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270 | global double *result, // nq+1 return values, again with padding |
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271 | const double cutoff // cutoff in the dispersity weight product |
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272 | ) |
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273 | { |
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274 | #ifdef USE_OPENCL |
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275 | // who we are and what element we are working with |
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276 | const int q_index = get_global_id(0); |
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277 | if (q_index >= nq) return; |
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278 | #else |
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279 | // Define q_index here so that debugging statements can be written to work |
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280 | // for both OpenCL and DLL using: |
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281 | // if (q_index == 0) {printf(...);} |
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282 | int q_index = 0; |
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283 | #endif |
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284 | |
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285 | // ** Fill in the local values table ** |
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286 | // Storage for the current parameter values. |
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287 | // These will be updated as we walk the dispersity mesh. |
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288 | ParameterBlock local_values; |
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289 | // values[0] is scale |
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290 | // values[1] is background |
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291 | #ifdef USE_OPENMP |
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292 | #pragma omp parallel for |
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293 | #endif |
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294 | for (int i=0; i < NUM_PARS; i++) { |
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295 | local_values.vector[i] = values[2+i]; |
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296 | //if (q_index==0) printf("p%d = %g\n",i, local_values.vector[i]); |
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297 | } |
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298 | //if (q_index==0) printf("NUM_VALUES:%d NUM_PARS:%d MAX_PD:%d\n", NUM_VALUES, NUM_PARS, MAX_PD); |
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299 | //if (q_index==0) printf("start:%d stop:%d\n", pd_start, pd_stop); |
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300 | |
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301 | // ** Precompute magnatism values ** |
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302 | #if defined(MAGNETIC) && NUM_MAGNETIC>0 |
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303 | // Location of the sld parameters in the parameter vector. |
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304 | // These parameters are updated with the effective sld due to magnetism. |
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305 | const int32_t slds[] = { MAGNETIC_PARS }; |
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306 | |
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307 | // Interpret polarization cross section. |
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308 | // up_frac_i = values[NUM_PARS+2]; |
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309 | // up_frac_f = values[NUM_PARS+3]; |
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310 | // up_angle = values[NUM_PARS+4]; |
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311 | // TODO: could precompute more magnetism parameters before calling the kernel. |
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312 | double spins[8]; // uu, ud real, du real, dd, ud imag, du imag, fill, fill |
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313 | double cos_mspin, sin_mspin; |
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314 | set_spin_weights(values[NUM_PARS+2], values[NUM_PARS+3], spins); |
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315 | SINCOS(-values[NUM_PARS+4]*M_PI_180, sin_mspin, cos_mspin); |
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316 | #endif // MAGNETIC |
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317 | |
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318 | // ** Fill in the initial results ** |
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319 | // If pd_start is zero that means that we are starting a new calculation, |
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320 | // and must initialize the result to zero. Otherwise, we are restarting |
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321 | // the calculation from somewhere in the middle of the dispersity mesh, |
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322 | // and we update the value rather than reset it. Similarly for the |
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323 | // normalization factor, which is stored as the final value in the |
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324 | // results vector (one past the number of q values). |
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325 | // |
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326 | // The code differs slightly between opencl and dll since opencl is only |
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327 | // seeing one q value (stored in the variable "this_result") while the dll |
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328 | // version must loop over all q. |
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329 | #ifdef USE_OPENCL |
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330 | double pd_norm = (pd_start == 0 ? 0.0 : result[nq]); |
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331 | double this_result = (pd_start == 0 ? 0.0 : result[q_index]); |
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332 | #else // !USE_OPENCL |
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333 | double pd_norm = (pd_start == 0 ? 0.0 : result[nq]); |
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334 | if (pd_start == 0) { |
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335 | #ifdef USE_OPENMP |
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336 | #pragma omp parallel for |
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337 | #endif |
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338 | for (int q_index=0; q_index < nq; q_index++) result[q_index] = 0.0; |
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339 | } |
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340 | //if (q_index==0) printf("start %d %g %g\n", pd_start, pd_norm, result[0]); |
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341 | #endif // !USE_OPENCL |
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342 | |
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343 | |
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344 | // ====== macros to set up the parts of the loop ======= |
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345 | /* |
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346 | Based on the level of the loop, uses C preprocessor magic to construct |
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347 | level-specific looping variables, including these from loop level 3: |
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348 | |
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349 | int n3 : length of loop for mesh level 3 |
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350 | int i3 : current position in the loop for level 3, which is calculated |
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351 | from a combination of pd_start, pd_stride[3] and pd_length[3]. |
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352 | int p3 : is the index into the parameter table for mesh level 3 |
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353 | double v3[] : pointer into dispersity array to values for loop 3 |
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354 | double w3[] : pointer into dispersity array to weights for loop 3 |
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355 | double weight3 : the product of weights from levels 3 and up, computed |
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356 | as weight5*weight4*w3[i3]. Note that we need an outermost |
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357 | value weight5 set to 1.0 for this to work properly. |
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358 | |
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359 | After expansion, the loop struction will look like the following: |
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360 | |
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361 | // --- PD_INIT(4) --- |
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362 | const int n4 = pd_length[4]; |
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363 | const int p4 = pd_par[4]; |
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364 | global const double *v4 = pd_value + pd_offset[4]; |
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365 | global const double *w4 = pd_weight + pd_offset[4]; |
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366 | int i4 = (pd_start/pd_stride[4])%n4; // position in level 4 at pd_start |
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367 | |
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368 | // --- PD_INIT(3) --- |
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369 | const int n3 = pd_length[3]; |
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370 | ... |
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371 | int i3 = (pd_start/pd_stride[3])%n3; // position in level 3 at pd_start |
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372 | |
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373 | PD_INIT(2) |
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374 | PD_INIT(1) |
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375 | PD_INIT(0) |
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376 | |
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377 | // --- PD_OUTERMOST_WEIGHT(5) --- |
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378 | const double weight5 = 1.0; |
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379 | |
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380 | // --- PD_OPEN(4,5) --- |
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381 | while (i4 < n4) { |
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382 | parameter[p4] = v4[i4]; // set the value for pd parameter 4 at this mesh point |
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383 | const double weight4 = w4[i4] * weight5; |
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384 | |
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385 | // from PD_OPEN(3,4) |
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386 | while (i3 < n3) { |
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387 | parameter[p3] = v3[i3]; // set the value for pd parameter 3 at this mesh point |
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388 | const double weight3 = w3[i3] * weight4; |
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389 | |
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390 | PD_OPEN(3,2) |
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391 | PD_OPEN(2,1) |
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392 | PD_OPEN(0,1) |
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393 | |
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394 | // ... main loop body ... |
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395 | APPLY_PROJECTION // convert jitter values to spherical coords |
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396 | BUILD_ROTATION // construct the rotation matrix qxy => qabc |
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397 | for each q |
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398 | FETCH_Q // set qx,qy from the q input vector |
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399 | APPLY_ROTATION // convert qx,qy to qa,qb,qc |
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400 | CALL_KERNEL // scattering = Iqxy(qa, qb, qc, p1, p2, ...) |
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401 | |
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402 | ++step; // increment counter representing position in dispersity mesh |
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403 | |
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404 | PD_CLOSE(0) |
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405 | PD_CLOSE(1) |
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406 | PD_CLOSE(2) |
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407 | |
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408 | // --- PD_CLOSE(3) --- |
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409 | if (step >= pd_stop) break; |
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410 | ++i3; |
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411 | } |
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412 | i3 = 0; // reset loop counter for next round through the loop |
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413 | |
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414 | // --- PD_CLOSE(4) --- |
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415 | if (step >= pd_stop) break; |
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416 | ++i4; |
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417 | } |
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418 | i4 = 0; // reset loop counter even though no more rounds through the loop |
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419 | |
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420 | */ |
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421 | |
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422 | |
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423 | // ** prepare inner loops ** |
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424 | |
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425 | // Depending on the shape type (radial, axial, triaxial), the variables |
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426 | // and calling parameters in the loop body will be slightly different. |
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427 | // Macros capture the differences in one spot so the rest of the code |
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428 | // is easier to read. The code below both declares variables for the |
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429 | // inner loop and defines the macros that use them. |
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430 | |
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431 | #if defined(CALL_IQ) |
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432 | // unoriented 1D |
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433 | double qk; |
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434 | #define FETCH_Q() do { qk = q[q_index]; } while (0) |
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435 | #define BUILD_ROTATION() do {} while(0) |
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436 | #define APPLY_ROTATION() do {} while(0) |
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437 | #define CALL_KERNEL() CALL_IQ(qk, local_values.table) |
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438 | |
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439 | #elif defined(CALL_IQ_A) |
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440 | // unoriented 2D |
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441 | double qx, qy; |
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442 | #define FETCH_Q() do { qx = q[2*q_index]; qy = q[2*q_index+1]; } while (0) |
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443 | #define BUILD_ROTATION() do {} while(0) |
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444 | #define APPLY_ROTATION() do {} while(0) |
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445 | #define CALL_KERNEL() CALL_IQ_A(sqrt(qx*qx+qy*qy), local_values.table) |
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446 | |
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447 | #elif defined(CALL_IQ_AC) |
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448 | // oriented symmetric 2D |
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449 | double qx, qy; |
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450 | #define FETCH_Q() do { qx = q[2*q_index]; qy = q[2*q_index+1]; } while (0) |
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451 | double qa, qc; |
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452 | QACRotation rotation; |
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453 | // theta, phi, dtheta, dphi are defined below in projection to avoid repeated code. |
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454 | #define BUILD_ROTATION() qac_rotation(&rotation, theta, phi, dtheta, dphi); |
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455 | #define APPLY_ROTATION() qac_apply(rotation, qx, qy, &qa, &qc) |
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456 | #define CALL_KERNEL() CALL_IQ_AC(qa, qc, local_values.table) |
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457 | |
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458 | #elif defined(CALL_IQ_ABC) |
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459 | // oriented asymmetric 2D |
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460 | double qx, qy; |
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461 | #define FETCH_Q() do { qx = q[2*q_index]; qy = q[2*q_index+1]; } while (0) |
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462 | double qa, qb, qc; |
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463 | QABCRotation rotation; |
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464 | // theta, phi, dtheta, dphi are defined below in projection to avoid repeated code. |
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465 | // psi and dpsi are only for IQ_ABC, so they are processed here. |
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466 | const double psi = values[details->theta_par+4]; |
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467 | local_values.table.psi = 0.; |
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468 | #define BUILD_ROTATION() qabc_rotation(&rotation, theta, phi, psi, dtheta, dphi, local_values.table.psi) |
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469 | #define APPLY_ROTATION() qabc_apply(rotation, qx, qy, &qa, &qb, &qc) |
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470 | #define CALL_KERNEL() CALL_IQ_ABC(qa, qb, qc, local_values.table) |
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471 | #endif |
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472 | |
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473 | // Doing jitter projection code outside the previous if block so that we don't |
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474 | // need to repeat the identical logic in the IQ_AC and IQ_ABC branches. This |
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475 | // will become more important if we implement more projections, or more |
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476 | // complicated projections. |
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477 | #if defined(CALL_IQ) || defined(CALL_IQ_A) |
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478 | #define APPLY_PROJECTION() const double weight=weight0 |
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479 | #else // !spherosymmetric projection |
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480 | // Grab the "view" angles (theta, phi, psi) from the initial parameter table. |
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481 | const double theta = values[details->theta_par+2]; |
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482 | const double phi = values[details->theta_par+3]; |
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483 | // Make sure jitter angle defaults to zero if there is no jitter distribution |
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484 | local_values.table.theta = 0.; |
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485 | local_values.table.phi = 0.; |
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486 | // The "jitter" angles (dtheta, dphi, dpsi) are stored with the |
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487 | // dispersity values and copied to the local parameter table as |
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488 | // we go through the mesh. |
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489 | double dtheta, dphi, weight; |
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490 | #if PROJECTION == 1 |
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491 | #define APPLY_PROJECTION() do { \ |
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492 | dtheta = local_values.table.theta; \ |
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493 | dphi = local_values.table.phi; \ |
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494 | weight = fabs(cos(dtheta*M_PI_180)) * weight0; \ |
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495 | } while (0) |
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496 | #elif PROJECTION == 2 |
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497 | #define APPLY_PROJECTION() do { \ |
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498 | dtheta = local_values.table.theta; \ |
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499 | dphi = local_values.table.phi; \ |
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500 | weight = weight0; \ |
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501 | if (dtheta != 90.0) dphi /= cos(dtheta*M_PI_180); \ |
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502 | else if (dphi != 0.0) weight = 0.; \ |
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503 | if (fabs(dphi) >= 180.) weight = 0.; \ |
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504 | } while (0) |
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505 | #endif |
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506 | #endif // !spherosymmetric projection |
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507 | |
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508 | // ** define looping macros ** |
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509 | |
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510 | // Define looping variables |
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511 | #define PD_INIT(_LOOP) \ |
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512 | const int n##_LOOP = details->pd_length[_LOOP]; \ |
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513 | const int p##_LOOP = details->pd_par[_LOOP]; \ |
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514 | global const double *v##_LOOP = pd_value + details->pd_offset[_LOOP]; \ |
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515 | global const double *w##_LOOP = pd_weight + details->pd_offset[_LOOP]; \ |
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516 | int i##_LOOP = (pd_start/details->pd_stride[_LOOP])%n##_LOOP; |
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517 | |
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518 | // Jump into the middle of the dispersity loop |
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519 | #define PD_OPEN(_LOOP,_OUTER) \ |
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520 | while (i##_LOOP < n##_LOOP) { \ |
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521 | local_values.vector[p##_LOOP] = v##_LOOP[i##_LOOP]; \ |
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522 | const double weight##_LOOP = w##_LOOP[i##_LOOP] * weight##_OUTER; |
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523 | |
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524 | // create the variable "weight#=1.0" where # is the outermost level+1 (=MAX_PD). |
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525 | #define _PD_OUTERMOST_WEIGHT(_n) const double weight##_n = 1.0; |
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526 | #define PD_OUTERMOST_WEIGHT(_n) _PD_OUTERMOST_WEIGHT(_n) |
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527 | |
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528 | // Close out the loop |
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529 | #define PD_CLOSE(_LOOP) \ |
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530 | if (step >= pd_stop) break; \ |
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531 | ++i##_LOOP; \ |
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532 | } \ |
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533 | i##_LOOP = 0; |
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534 | |
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535 | // ====== construct the loops ======= |
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536 | |
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537 | // Pointers to the start of the dispersity and weight vectors, if needed. |
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538 | #if MAX_PD>0 |
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539 | global const double *pd_value = values + NUM_VALUES; |
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540 | global const double *pd_weight = pd_value + details->num_weights; |
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541 | #endif |
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542 | |
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543 | // The variable "step" is the current position in the dispersity loop. |
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544 | // It will be incremented each time a new point in the mesh is accumulated, |
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545 | // and used to test whether we have reached pd_stop. |
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546 | int step = pd_start; |
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547 | |
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548 | // *** define loops for each of 0, 1, 2, ..., modelinfo.MAX_PD-1 *** |
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549 | |
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550 | // define looping variables |
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551 | #if MAX_PD>4 |
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552 | PD_INIT(4) |
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553 | #endif |
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554 | #if MAX_PD>3 |
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555 | PD_INIT(3) |
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556 | #endif |
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557 | #if MAX_PD>2 |
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558 | PD_INIT(2) |
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559 | #endif |
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560 | #if MAX_PD>1 |
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561 | PD_INIT(1) |
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562 | #endif |
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563 | #if MAX_PD>0 |
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564 | PD_INIT(0) |
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565 | #endif |
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566 | |
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567 | // open nested loops |
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568 | PD_OUTERMOST_WEIGHT(MAX_PD) |
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569 | #if MAX_PD>4 |
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570 | PD_OPEN(4,5) |
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571 | #endif |
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572 | #if MAX_PD>3 |
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573 | PD_OPEN(3,4) |
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574 | #endif |
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575 | #if MAX_PD>2 |
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576 | PD_OPEN(2,3) |
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577 | #endif |
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578 | #if MAX_PD>1 |
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579 | PD_OPEN(1,2) |
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580 | #endif |
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581 | #if MAX_PD>0 |
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582 | PD_OPEN(0,1) |
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583 | #endif |
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584 | |
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585 | //if (q_index==0) {printf("step:%d of %d, pars:",step,pd_stop); for (int i=0; i < NUM_PARS; i++) printf("p%d=%g ",i, local_values.vector[i]); printf("\n");} |
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586 | |
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587 | // ====== loop body ======= |
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588 | #ifdef INVALID |
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589 | if (!INVALID(local_values.table)) |
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590 | #endif |
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591 | { |
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592 | APPLY_PROJECTION(); |
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593 | |
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594 | // Accumulate I(q) |
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595 | // Note: weight==0 must always be excluded |
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596 | if (weight > cutoff) { |
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597 | pd_norm += weight * CALL_VOLUME(local_values.table); |
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598 | BUILD_ROTATION(); |
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599 | |
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600 | #ifndef USE_OPENCL |
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601 | // DLL needs to explicitly loop over the q values. |
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602 | #ifdef USE_OPENMP |
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603 | #pragma omp parallel for |
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604 | #endif |
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605 | for (q_index=0; q_index<nq; q_index++) |
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606 | #endif // !USE_OPENCL |
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607 | { |
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608 | |
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609 | FETCH_Q(); |
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610 | APPLY_ROTATION(); |
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611 | |
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612 | // ======= COMPUTE SCATTERING ========== |
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613 | #if defined(MAGNETIC) && NUM_MAGNETIC > 0 |
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614 | // Compute the scattering from the magnetic cross sections. |
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615 | double scattering = 0.0; |
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616 | const double qsq = qx*qx + qy*qy; |
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617 | if (qsq > 1.e-16) { |
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618 | // TODO: what is the magnetic scattering at q=0 |
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619 | const double px = (qy*cos_mspin + qx*sin_mspin)/qsq; |
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620 | const double py = (qy*sin_mspin - qx*cos_mspin)/qsq; |
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621 | |
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622 | // loop over uu, ud real, du real, dd, ud imag, du imag |
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623 | for (int xs=0; xs<6; xs++) { |
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624 | const double xs_weight = spins[xs]; |
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625 | if (xs_weight > 1.e-8) { |
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626 | // Since the cross section weight is significant, set the slds |
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627 | // to the effective slds for this cross section, call the |
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628 | // kernel, and add according to weight. |
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629 | for (int sk=0; sk<NUM_MAGNETIC; sk++) { |
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630 | const int32_t mag_index = NUM_PARS+5 + 3*sk; |
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631 | const int32_t sld_index = slds[sk]; |
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632 | const double mx = values[mag_index]; |
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633 | const double my = values[mag_index+1]; |
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634 | const double mz = values[mag_index+2]; |
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635 | local_values.vector[sld_index] = |
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636 | mag_sld(xs, qx, qy, px, py, values[sld_index+2], mx, my, mz); |
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637 | } |
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638 | scattering += xs_weight * CALL_KERNEL(); |
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639 | } |
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640 | } |
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641 | } |
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642 | #else // !MAGNETIC |
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643 | const double scattering = CALL_KERNEL(); |
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644 | #endif // !MAGNETIC |
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645 | //printf("q_index:%d %g %g %g %g\n", q_index, scattering, weight0); |
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646 | |
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647 | #ifdef USE_OPENCL |
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648 | this_result += weight * scattering; |
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649 | #else // !USE_OPENCL |
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650 | result[q_index] += weight * scattering; |
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651 | #endif // !USE_OPENCL |
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652 | } |
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653 | } |
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654 | } |
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655 | |
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656 | // close nested loops |
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657 | ++step; |
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658 | #if MAX_PD>0 |
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659 | PD_CLOSE(0) |
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660 | #endif |
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661 | #if MAX_PD>1 |
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662 | PD_CLOSE(1) |
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663 | #endif |
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664 | #if MAX_PD>2 |
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665 | PD_CLOSE(2) |
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666 | #endif |
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667 | #if MAX_PD>3 |
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668 | PD_CLOSE(3) |
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669 | #endif |
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670 | #if MAX_PD>4 |
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671 | PD_CLOSE(4) |
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672 | #endif |
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673 | |
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674 | // Remember the current result and the updated norm. |
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675 | #ifdef USE_OPENCL |
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676 | result[q_index] = this_result; |
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677 | if (q_index == 0) result[nq] = pd_norm; |
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678 | //if (q_index == 0) printf("res: %g/%g\n", result[0], pd_norm); |
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679 | #else // !USE_OPENCL |
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680 | result[nq] = pd_norm; |
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681 | //printf("res: %g/%g\n", result[0], pd_norm); |
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682 | #endif // !USE_OPENCL |
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683 | |
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684 | // ** clear the macros in preparation for the next kernel ** |
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685 | #undef PD_INIT |
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686 | #undef PD_OPEN |
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687 | #undef PD_CLOSE |
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688 | #undef FETCH_Q |
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689 | #undef APPLY_PROJECTION |
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690 | #undef BUILD_ROTATION |
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691 | #undef APPLY_ROTATION |
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692 | #undef CALL_KERNEL |
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693 | } |
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