[2e44ac7] | 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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[9ee2756] | 13 | // NOTE: the following macros are defined in generate.py: |
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| 14 | // |
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[6aee3ab] | 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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[9ee2756] | 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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[2c108a3] | 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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[9ee2756] | 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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[108e70e] | 33 | // CALL_IQ_XY(qx, qy, table) : call the Iqxy function for arbitrary models |
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[9ee2756] | 34 | // INVALID(table) : test if the current point is feesible to calculate. This |
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| 35 | // will be defined in the kernel definition file. |
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[ff10479] | 36 | // PROJECTION : equirectangular=1, sinusoidal=2 |
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| 37 | // see explore/jitter.py for definitions. |
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[767dca8] | 38 | |
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[03cac08] | 39 | #ifndef _PAR_BLOCK_ // protected block so we can include this code twice. |
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| 40 | #define _PAR_BLOCK_ |
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[2e44ac7] | 41 | |
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| 42 | typedef struct { |
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[60eab2a] | 43 | #if MAX_PD > 0 |
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[2c108a3] | 44 | int32_t pd_par[MAX_PD]; // id of the nth dispersity variable |
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| 45 | int32_t pd_length[MAX_PD]; // length of the nth dispersity weight vector |
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[0a7e5eb4] | 46 | int32_t pd_offset[MAX_PD]; // offset of pd weights in the value & weight vector |
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[5cf3c33] | 47 | int32_t pd_stride[MAX_PD]; // stride to move to the next index at this level |
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[60eab2a] | 48 | #endif // MAX_PD > 0 |
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[bde38b5] | 49 | int32_t num_eval; // total number of voxels in hypercube |
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| 50 | int32_t num_weights; // total length of the weights vector |
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[5ff1b03] | 51 | int32_t num_active; // number of non-trivial pd loops |
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[8698a0d] | 52 | int32_t theta_par; // id of first orientation variable |
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[2e44ac7] | 53 | } ProblemDetails; |
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| 54 | |
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[bde38b5] | 55 | // Intel HD 4000 needs private arrays to be a multiple of 4 long |
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[2e44ac7] | 56 | typedef struct { |
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[56547a8] | 57 | PARAMETER_TABLE |
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[bde38b5] | 58 | } ParameterTable; |
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| 59 | typedef union { |
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| 60 | ParameterTable table; |
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| 61 | double vector[4*((NUM_PARS+3)/4)]; |
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[2e44ac7] | 62 | } ParameterBlock; |
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[9eb3632] | 63 | #endif // _PAR_BLOCK_ |
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[03cac08] | 64 | |
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[9ee2756] | 65 | #if defined(MAGNETIC) && NUM_MAGNETIC > 0 |
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| 66 | // ===== Helper functions for magnetism ===== |
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[a4280bd] | 67 | |
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[32e3c9b] | 68 | // Return value restricted between low and high |
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| 69 | static double clip(double value, double low, double high) |
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| 70 | { |
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[b966a96] | 71 | return (value < low ? low : (value > high ? high : value)); |
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[32e3c9b] | 72 | } |
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| 73 | |
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| 74 | // Compute spin cross sections given in_spin and out_spin |
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| 75 | // To convert spin cross sections to sld b: |
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| 76 | // uu * (sld - m_sigma_x); |
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| 77 | // dd * (sld + m_sigma_x); |
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[2c108a3] | 78 | // ud * (m_sigma_y - 1j*m_sigma_z); |
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| 79 | // du * (m_sigma_y + 1j*m_sigma_z); |
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| 80 | // weights for spin crosssections: dd du real, ud real, uu, du imag, ud imag |
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[885753a] | 81 | static void set_spin_weights(double in_spin, double out_spin, double weight[6]) |
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[32e3c9b] | 82 | { |
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[b966a96] | 83 | in_spin = clip(in_spin, 0.0, 1.0); |
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| 84 | out_spin = clip(out_spin, 0.0, 1.0); |
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[7c35fda] | 85 | // Previous version of this function took the square root of the weights, |
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[70530778] | 86 | // under the assumption that |
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[7c35fda] | 87 | // |
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[885753a] | 88 | // w*I(q, rho1, rho2, ...) = I(q, sqrt(w)*rho1, sqrt(w)*rho2, ...) |
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[7c35fda] | 89 | // |
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| 90 | // However, since the weights are applied to the final intensity and |
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| 91 | // are not interned inside the I(q) function, we want the full |
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| 92 | // weight and not the square root. Any function using |
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| 93 | // set_spin_weights as part of calculating an amplitude will need to |
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| 94 | // manually take that square root, but there is currently no such |
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| 95 | // function. |
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[84e89cd] | 96 | weight[0] = (1.0-in_spin) * (1.0-out_spin); // dd |
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| 97 | weight[1] = (1.0-in_spin) * out_spin; // du |
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| 98 | weight[2] = in_spin * (1.0-out_spin); // ud |
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| 99 | weight[3] = in_spin * out_spin; // uu |
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[885753a] | 100 | weight[4] = weight[1]; // du.imag |
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| 101 | weight[5] = weight[2]; // ud.imag |
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[a4280bd] | 102 | } |
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| 103 | |
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[9ee2756] | 104 | // Compute the magnetic sld |
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[2c108a3] | 105 | static double mag_sld( |
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[885753a] | 106 | const unsigned int xs, // 0=dd, 1=du.real, 2=ud.real, 3=uu, 4=du.imag, 5=ud.imag |
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[2c108a3] | 107 | const double qx, const double qy, |
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| 108 | const double px, const double py, |
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| 109 | const double sld, |
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| 110 | const double mx, const double my, const double mz |
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| 111 | ) |
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[a4280bd] | 112 | { |
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[2c108a3] | 113 | if (xs < 4) { |
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[a4280bd] | 114 | const double perp = qy*mx - qx*my; |
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[2c108a3] | 115 | switch (xs) { |
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[aadec17] | 116 | default: // keep compiler happy; condition ensures xs in [0,1,2,3] |
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[2c108a3] | 117 | case 0: // uu => sld - D M_perpx |
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| 118 | return sld - px*perp; |
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[885753a] | 119 | case 1: // ud.real => -D M_perpy |
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[2c108a3] | 120 | return py*perp; |
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[885753a] | 121 | case 2: // du.real => -D M_perpy |
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[2c108a3] | 122 | return py*perp; |
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[885753a] | 123 | case 3: // dd => sld + D M_perpx |
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[2c108a3] | 124 | return sld + px*perp; |
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| 125 | } |
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| 126 | } else { |
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| 127 | if (xs== 4) { |
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[885753a] | 128 | return -mz; // du.imag => +D M_perpz |
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[2c108a3] | 129 | } else { // index == 5 |
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[885753a] | 130 | return +mz; // ud.imag => -D M_perpz |
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[2c108a3] | 131 | } |
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| 132 | } |
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[32e3c9b] | 133 | } |
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[9ee2756] | 134 | |
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[2c108a3] | 135 | |
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[9ee2756] | 136 | #endif |
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| 137 | |
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| 138 | // ===== Helper functions for orientation and jitter ===== |
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| 139 | |
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[8698a0d] | 140 | // To change the definition of the angles, run explore/angles.py, which |
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| 141 | // uses sympy to generate the equations. |
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| 142 | |
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[9ee2756] | 143 | #if !defined(_QAC_SECTION) && defined(CALL_IQ_AC) |
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| 144 | #define _QAC_SECTION |
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| 145 | |
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| 146 | typedef struct { |
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| 147 | double R31, R32; |
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| 148 | } QACRotation; |
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| 149 | |
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| 150 | // Fill in the rotation matrix R from the view angles (theta, phi) and the |
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| 151 | // jitter angles (dtheta, dphi). This matrix can be applied to all of the |
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| 152 | // (qx, qy) points in the image to produce R*[qx,qy]' = [qa,qc]' |
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| 153 | static void |
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| 154 | qac_rotation( |
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| 155 | QACRotation *rotation, |
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| 156 | double theta, double phi, |
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| 157 | double dtheta, double dphi) |
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[8698a0d] | 158 | { |
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| 159 | double sin_theta, cos_theta; |
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| 160 | double sin_phi, cos_phi; |
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| 161 | |
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[9ee2756] | 162 | // reverse view matrix |
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[8698a0d] | 163 | SINCOS(theta*M_PI_180, sin_theta, cos_theta); |
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| 164 | SINCOS(phi*M_PI_180, sin_phi, cos_phi); |
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[9ee2756] | 165 | const double V11 = cos_phi*cos_theta; |
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| 166 | const double V12 = sin_phi*cos_theta; |
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| 167 | const double V21 = -sin_phi; |
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| 168 | const double V22 = cos_phi; |
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| 169 | const double V31 = sin_theta*cos_phi; |
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| 170 | const double V32 = sin_phi*sin_theta; |
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[8698a0d] | 171 | |
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[9ee2756] | 172 | // reverse jitter matrix |
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| 173 | SINCOS(dtheta*M_PI_180, sin_theta, cos_theta); |
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| 174 | SINCOS(dphi*M_PI_180, sin_phi, cos_phi); |
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| 175 | const double J31 = sin_theta; |
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| 176 | const double J32 = -sin_phi*cos_theta; |
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| 177 | const double J33 = cos_phi*cos_theta; |
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[8698a0d] | 178 | |
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[9ee2756] | 179 | // reverse matrix |
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| 180 | rotation->R31 = J31*V11 + J32*V21 + J33*V31; |
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| 181 | rotation->R32 = J31*V12 + J32*V22 + J33*V32; |
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[8698a0d] | 182 | } |
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| 183 | |
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[9ee2756] | 184 | // Apply the rotation matrix returned from qac_rotation to the point (qx,qy), |
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| 185 | // returning R*[qx,qy]' = [qa,qc]' |
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[d86f0fc] | 186 | static void |
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[9ee2756] | 187 | qac_apply( |
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[ec8d4ac] | 188 | QACRotation *rotation, |
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[9ee2756] | 189 | double qx, double qy, |
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[70530778] | 190 | double *qab_out, double *qc_out) |
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[8698a0d] | 191 | { |
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[9ee2756] | 192 | // Indirect calculation of qab, from qab^2 = |q|^2 - qc^2 |
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[70530778] | 193 | const double dqc = rotation->R31*qx + rotation->R32*qy; |
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| 194 | const double dqab_sq = -dqc*dqc + qx*qx + qy*qy; |
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| 195 | //*qab_out = sqrt(fabs(dqab_sq)); |
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| 196 | *qab_out = dqab_sq > 0.0 ? sqrt(dqab_sq) : 0.0; |
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[9ee2756] | 197 | *qc_out = dqc; |
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[8698a0d] | 198 | } |
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[9ee2756] | 199 | #endif // _QAC_SECTION |
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| 200 | |
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| 201 | #if !defined(_QABC_SECTION) && defined(CALL_IQ_ABC) |
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| 202 | #define _QABC_SECTION |
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| 203 | |
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| 204 | typedef struct { |
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| 205 | double R11, R12; |
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| 206 | double R21, R22; |
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| 207 | double R31, R32; |
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| 208 | } QABCRotation; |
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| 209 | |
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| 210 | // Fill in the rotation matrix R from the view angles (theta, phi, psi) and the |
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| 211 | // jitter angles (dtheta, dphi, dpsi). This matrix can be applied to all of the |
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| 212 | // (qx, qy) points in the image to produce R*[qx,qy]' = [qa,qb,qc]' |
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[8698a0d] | 213 | static void |
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[9ee2756] | 214 | qabc_rotation( |
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| 215 | QABCRotation *rotation, |
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[8698a0d] | 216 | double theta, double phi, double psi, |
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[9ee2756] | 217 | double dtheta, double dphi, double dpsi) |
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[8698a0d] | 218 | { |
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| 219 | double sin_theta, cos_theta; |
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| 220 | double sin_phi, cos_phi; |
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| 221 | double sin_psi, cos_psi; |
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| 222 | |
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| 223 | // reverse view matrix |
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| 224 | SINCOS(theta*M_PI_180, sin_theta, cos_theta); |
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| 225 | SINCOS(phi*M_PI_180, sin_phi, cos_phi); |
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| 226 | SINCOS(psi*M_PI_180, sin_psi, cos_psi); |
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[9ee2756] | 227 | const double V11 = -sin_phi*sin_psi + cos_phi*cos_psi*cos_theta; |
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| 228 | const double V12 = sin_phi*cos_psi*cos_theta + sin_psi*cos_phi; |
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| 229 | const double V21 = -sin_phi*cos_psi - sin_psi*cos_phi*cos_theta; |
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| 230 | const double V22 = -sin_phi*sin_psi*cos_theta + cos_phi*cos_psi; |
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[8698a0d] | 231 | const double V31 = sin_theta*cos_phi; |
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| 232 | const double V32 = sin_phi*sin_theta; |
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| 233 | |
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| 234 | // reverse jitter matrix |
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[9ee2756] | 235 | SINCOS(dtheta*M_PI_180, sin_theta, cos_theta); |
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| 236 | SINCOS(dphi*M_PI_180, sin_phi, cos_phi); |
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| 237 | SINCOS(dpsi*M_PI_180, sin_psi, cos_psi); |
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[8698a0d] | 238 | const double J11 = cos_psi*cos_theta; |
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[9ee2756] | 239 | const double J12 = sin_phi*sin_theta*cos_psi + sin_psi*cos_phi; |
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| 240 | const double J13 = sin_phi*sin_psi - sin_theta*cos_phi*cos_psi; |
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| 241 | const double J21 = -sin_psi*cos_theta; |
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| 242 | const double J22 = -sin_phi*sin_psi*sin_theta + cos_phi*cos_psi; |
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| 243 | const double J23 = sin_phi*cos_psi + sin_psi*sin_theta*cos_phi; |
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[8698a0d] | 244 | const double J31 = sin_theta; |
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| 245 | const double J32 = -sin_phi*cos_theta; |
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| 246 | const double J33 = cos_phi*cos_theta; |
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| 247 | |
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| 248 | // reverse matrix |
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[9ee2756] | 249 | rotation->R11 = J11*V11 + J12*V21 + J13*V31; |
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| 250 | rotation->R12 = J11*V12 + J12*V22 + J13*V32; |
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| 251 | rotation->R21 = J21*V11 + J22*V21 + J23*V31; |
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| 252 | rotation->R22 = J21*V12 + J22*V22 + J23*V32; |
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| 253 | rotation->R31 = J31*V11 + J32*V21 + J33*V31; |
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| 254 | rotation->R32 = J31*V12 + J32*V22 + J33*V32; |
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[8698a0d] | 255 | } |
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| 256 | |
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[9ee2756] | 257 | // Apply the rotation matrix returned from qabc_rotation to the point (qx,qy), |
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| 258 | // returning R*[qx,qy]' = [qa,qb,qc]' |
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[d86f0fc] | 259 | static void |
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[9ee2756] | 260 | qabc_apply( |
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[ec8d4ac] | 261 | QABCRotation *rotation, |
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[9ee2756] | 262 | double qx, double qy, |
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| 263 | double *qa_out, double *qb_out, double *qc_out) |
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[8698a0d] | 264 | { |
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[ec8d4ac] | 265 | *qa_out = rotation->R11*qx + rotation->R12*qy; |
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| 266 | *qb_out = rotation->R21*qx + rotation->R22*qy; |
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| 267 | *qc_out = rotation->R31*qx + rotation->R32*qy; |
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[8698a0d] | 268 | } |
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| 269 | |
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[9ee2756] | 270 | #endif // _QABC_SECTION |
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| 271 | |
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| 272 | |
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| 273 | // ==================== KERNEL CODE ======================== |
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[2e44ac7] | 274 | |
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[03cac08] | 275 | kernel |
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| 276 | void KERNEL_NAME( |
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[5cf3c33] | 277 | int32_t nq, // number of q values |
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[2c108a3] | 278 | const int32_t pd_start, // where we are in the dispersity loop |
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| 279 | const int32_t pd_stop, // where we are stopping in the dispersity loop |
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[6e7ff6d] | 280 | global const ProblemDetails *details, |
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[9eb3632] | 281 | global const double *values, |
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[2e44ac7] | 282 | global const double *q, // nq q values, with padding to boundary |
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[9eb3632] | 283 | global double *result, // nq+1 return values, again with padding |
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[2c108a3] | 284 | const double cutoff // cutoff in the dispersity weight product |
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[2e44ac7] | 285 | ) |
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| 286 | { |
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[9ee2756] | 287 | #ifdef USE_OPENCL |
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| 288 | // who we are and what element we are working with |
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| 289 | const int q_index = get_global_id(0); |
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| 290 | if (q_index >= nq) return; |
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| 291 | #else |
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| 292 | // Define q_index here so that debugging statements can be written to work |
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| 293 | // for both OpenCL and DLL using: |
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| 294 | // if (q_index == 0) {printf(...);} |
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| 295 | int q_index = 0; |
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| 296 | #endif |
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| 297 | |
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[6aee3ab] | 298 | // ** Fill in the local values table ** |
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| 299 | // Storage for the current parameter values. |
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| 300 | // These will be updated as we walk the dispersity mesh. |
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[9eb3632] | 301 | ParameterBlock local_values; |
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[6aee3ab] | 302 | // values[0] is scale |
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| 303 | // values[1] is background |
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| 304 | #ifdef USE_OPENMP |
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| 305 | #pragma omp parallel for |
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| 306 | #endif |
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| 307 | for (int i=0; i < NUM_PARS; i++) { |
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| 308 | local_values.vector[i] = values[2+i]; |
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| 309 | //if (q_index==0) printf("p%d = %g\n",i, local_values.vector[i]); |
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| 310 | } |
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| 311 | //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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| 312 | //if (q_index==0) printf("start:%d stop:%d\n", pd_start, pd_stop); |
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[2e44ac7] | 313 | |
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[6aee3ab] | 314 | // ** Precompute magnatism values ** |
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[a4280bd] | 315 | #if defined(MAGNETIC) && NUM_MAGNETIC>0 |
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[bde38b5] | 316 | // Location of the sld parameters in the parameter vector. |
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[9eb3632] | 317 | // These parameters are updated with the effective sld due to magnetism. |
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| 318 | const int32_t slds[] = { MAGNETIC_PARS }; |
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[32e3c9b] | 319 | |
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| 320 | // Interpret polarization cross section. |
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[a4280bd] | 321 | // up_frac_i = values[NUM_PARS+2]; |
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| 322 | // up_frac_f = values[NUM_PARS+3]; |
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| 323 | // up_angle = values[NUM_PARS+4]; |
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[9ee2756] | 324 | // TODO: could precompute more magnetism parameters before calling the kernel. |
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[885753a] | 325 | double xs_weights[8]; // uu, ud real, du real, dd, ud imag, du imag, fill, fill |
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[32e3c9b] | 326 | double cos_mspin, sin_mspin; |
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[885753a] | 327 | set_spin_weights(values[NUM_PARS+2], values[NUM_PARS+3], xs_weights); |
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[a4280bd] | 328 | SINCOS(-values[NUM_PARS+4]*M_PI_180, sin_mspin, cos_mspin); |
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[9eb3632] | 329 | #endif // MAGNETIC |
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[3044216] | 330 | |
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[6aee3ab] | 331 | // ** Fill in the initial results ** |
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[9ee2756] | 332 | // If pd_start is zero that means that we are starting a new calculation, |
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| 333 | // and must initialize the result to zero. Otherwise, we are restarting |
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| 334 | // the calculation from somewhere in the middle of the dispersity mesh, |
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| 335 | // and we update the value rather than reset it. Similarly for the |
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| 336 | // normalization factor, which is stored as the final value in the |
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| 337 | // results vector (one past the number of q values). |
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| 338 | // |
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| 339 | // The code differs slightly between opencl and dll since opencl is only |
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| 340 | // seeing one q value (stored in the variable "this_result") while the dll |
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| 341 | // version must loop over all q. |
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| 342 | #ifdef USE_OPENCL |
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| 343 | double pd_norm = (pd_start == 0 ? 0.0 : result[nq]); |
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| 344 | double this_result = (pd_start == 0 ? 0.0 : result[q_index]); |
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| 345 | #else // !USE_OPENCL |
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| 346 | double pd_norm = (pd_start == 0 ? 0.0 : result[nq]); |
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| 347 | if (pd_start == 0) { |
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| 348 | #ifdef USE_OPENMP |
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| 349 | #pragma omp parallel for |
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| 350 | #endif |
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| 351 | for (int q_index=0; q_index < nq; q_index++) result[q_index] = 0.0; |
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| 352 | } |
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[6aee3ab] | 353 | //if (q_index==0) printf("start %d %g %g\n", pd_start, pd_norm, result[0]); |
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[9ee2756] | 354 | #endif // !USE_OPENCL |
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| 355 | |
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| 356 | |
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| 357 | // ====== macros to set up the parts of the loop ======= |
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| 358 | /* |
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| 359 | Based on the level of the loop, uses C preprocessor magic to construct |
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| 360 | level-specific looping variables, including these from loop level 3: |
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| 361 | |
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| 362 | int n3 : length of loop for mesh level 3 |
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| 363 | int i3 : current position in the loop for level 3, which is calculated |
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| 364 | from a combination of pd_start, pd_stride[3] and pd_length[3]. |
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| 365 | int p3 : is the index into the parameter table for mesh level 3 |
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| 366 | double v3[] : pointer into dispersity array to values for loop 3 |
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| 367 | double w3[] : pointer into dispersity array to weights for loop 3 |
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| 368 | double weight3 : the product of weights from levels 3 and up, computed |
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| 369 | as weight5*weight4*w3[i3]. Note that we need an outermost |
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| 370 | value weight5 set to 1.0 for this to work properly. |
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| 371 | |
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| 372 | After expansion, the loop struction will look like the following: |
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| 373 | |
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| 374 | // --- PD_INIT(4) --- |
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| 375 | const int n4 = pd_length[4]; |
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| 376 | const int p4 = pd_par[4]; |
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| 377 | global const double *v4 = pd_value + pd_offset[4]; |
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| 378 | global const double *w4 = pd_weight + pd_offset[4]; |
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| 379 | int i4 = (pd_start/pd_stride[4])%n4; // position in level 4 at pd_start |
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| 380 | |
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| 381 | // --- PD_INIT(3) --- |
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| 382 | const int n3 = pd_length[3]; |
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| 383 | ... |
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| 384 | int i3 = (pd_start/pd_stride[3])%n3; // position in level 3 at pd_start |
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| 385 | |
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| 386 | PD_INIT(2) |
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| 387 | PD_INIT(1) |
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| 388 | PD_INIT(0) |
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| 389 | |
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| 390 | // --- PD_OUTERMOST_WEIGHT(5) --- |
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| 391 | const double weight5 = 1.0; |
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| 392 | |
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| 393 | // --- PD_OPEN(4,5) --- |
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| 394 | while (i4 < n4) { |
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| 395 | parameter[p4] = v4[i4]; // set the value for pd parameter 4 at this mesh point |
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| 396 | const double weight4 = w4[i4] * weight5; |
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| 397 | |
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| 398 | // from PD_OPEN(3,4) |
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| 399 | while (i3 < n3) { |
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| 400 | parameter[p3] = v3[i3]; // set the value for pd parameter 3 at this mesh point |
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| 401 | const double weight3 = w3[i3] * weight4; |
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| 402 | |
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| 403 | PD_OPEN(3,2) |
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| 404 | PD_OPEN(2,1) |
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| 405 | PD_OPEN(0,1) |
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| 406 | |
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[6aee3ab] | 407 | // ... main loop body ... |
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| 408 | APPLY_PROJECTION // convert jitter values to spherical coords |
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| 409 | BUILD_ROTATION // construct the rotation matrix qxy => qabc |
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| 410 | for each q |
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| 411 | FETCH_Q // set qx,qy from the q input vector |
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| 412 | APPLY_ROTATION // convert qx,qy to qa,qb,qc |
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| 413 | CALL_KERNEL // scattering = Iqxy(qa, qb, qc, p1, p2, ...) |
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[9ee2756] | 414 | |
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| 415 | ++step; // increment counter representing position in dispersity mesh |
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| 416 | |
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| 417 | PD_CLOSE(0) |
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| 418 | PD_CLOSE(1) |
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| 419 | PD_CLOSE(2) |
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| 420 | |
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| 421 | // --- PD_CLOSE(3) --- |
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| 422 | if (step >= pd_stop) break; |
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| 423 | ++i3; |
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| 424 | } |
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| 425 | i3 = 0; // reset loop counter for next round through the loop |
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| 426 | |
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| 427 | // --- PD_CLOSE(4) --- |
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| 428 | if (step >= pd_stop) break; |
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| 429 | ++i4; |
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[2e44ac7] | 430 | } |
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[9ee2756] | 431 | i4 = 0; // reset loop counter even though no more rounds through the loop |
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| 432 | |
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| 433 | */ |
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| 434 | |
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| 435 | |
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[6aee3ab] | 436 | // ** prepare inner loops ** |
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[9ee2756] | 437 | |
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| 438 | // Depending on the shape type (radial, axial, triaxial), the variables |
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[6aee3ab] | 439 | // and calling parameters in the loop body will be slightly different. |
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| 440 | // Macros capture the differences in one spot so the rest of the code |
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| 441 | // is easier to read. The code below both declares variables for the |
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| 442 | // inner loop and defines the macros that use them. |
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[ff10479] | 443 | |
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[9ee2756] | 444 | #if defined(CALL_IQ) |
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| 445 | // unoriented 1D |
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| 446 | double qk; |
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[2c108a3] | 447 | #define FETCH_Q() do { qk = q[q_index]; } while (0) |
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| 448 | #define BUILD_ROTATION() do {} while(0) |
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| 449 | #define APPLY_ROTATION() do {} while(0) |
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| 450 | #define CALL_KERNEL() CALL_IQ(qk, local_values.table) |
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[9ee2756] | 451 | |
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| 452 | #elif defined(CALL_IQ_A) |
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| 453 | // unoriented 2D |
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| 454 | double qx, qy; |
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[2c108a3] | 455 | #define FETCH_Q() do { qx = q[2*q_index]; qy = q[2*q_index+1]; } while (0) |
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| 456 | #define BUILD_ROTATION() do {} while(0) |
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| 457 | #define APPLY_ROTATION() do {} while(0) |
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| 458 | #define CALL_KERNEL() CALL_IQ_A(sqrt(qx*qx+qy*qy), local_values.table) |
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[9ee2756] | 459 | |
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| 460 | #elif defined(CALL_IQ_AC) |
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| 461 | // oriented symmetric 2D |
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| 462 | double qx, qy; |
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[2c108a3] | 463 | #define FETCH_Q() do { qx = q[2*q_index]; qy = q[2*q_index+1]; } while (0) |
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[9ee2756] | 464 | double qa, qc; |
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| 465 | QACRotation rotation; |
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[ff10479] | 466 | // theta, phi, dtheta, dphi are defined below in projection to avoid repeated code. |
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[767dca8] | 467 | #define BUILD_ROTATION() qac_rotation(&rotation, theta, phi, dtheta, dphi); |
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[ec8d4ac] | 468 | #define APPLY_ROTATION() qac_apply(&rotation, qx, qy, &qa, &qc) |
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[2c108a3] | 469 | #define CALL_KERNEL() CALL_IQ_AC(qa, qc, local_values.table) |
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[9ee2756] | 470 | |
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| 471 | #elif defined(CALL_IQ_ABC) |
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| 472 | // oriented asymmetric 2D |
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| 473 | double qx, qy; |
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[2c108a3] | 474 | #define FETCH_Q() do { qx = q[2*q_index]; qy = q[2*q_index+1]; } while (0) |
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[9ee2756] | 475 | double qa, qb, qc; |
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| 476 | QABCRotation rotation; |
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[ff10479] | 477 | // theta, phi, dtheta, dphi are defined below in projection to avoid repeated code. |
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| 478 | // psi and dpsi are only for IQ_ABC, so they are processed here. |
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| 479 | const double psi = values[details->theta_par+4]; |
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[6aee3ab] | 480 | local_values.table.psi = 0.; |
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[ff10479] | 481 | #define BUILD_ROTATION() qabc_rotation(&rotation, theta, phi, psi, dtheta, dphi, local_values.table.psi) |
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[ec8d4ac] | 482 | #define APPLY_ROTATION() qabc_apply(&rotation, qx, qy, &qa, &qb, &qc) |
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[ff10479] | 483 | #define CALL_KERNEL() CALL_IQ_ABC(qa, qb, qc, local_values.table) |
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[108e70e] | 484 | #elif defined(CALL_IQ_XY) |
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| 485 | // direct call to qx,qy calculator |
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| 486 | double qx, qy; |
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| 487 | #define FETCH_Q() do { qx = q[2*q_index]; qy = q[2*q_index+1]; } while (0) |
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| 488 | #define BUILD_ROTATION() do {} while(0) |
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| 489 | #define APPLY_ROTATION() do {} while(0) |
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| 490 | #define CALL_KERNEL() CALL_IQ_XY(qx, qy, local_values.table) |
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[ff10479] | 491 | #endif |
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| 492 | |
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[2a7e20e] | 493 | // Define APPLY_PROJECTION depending on model symmetries. We do this outside |
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| 494 | // the previous if block so that we don't need to repeat the identical |
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| 495 | // logic in the IQ_AC and IQ_ABC branches. This will become more important |
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| 496 | // if we implement more projections, or more complicated projections. |
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| 497 | #if defined(CALL_IQ) || defined(CALL_IQ_A) // no orientation |
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[ff10479] | 498 | #define APPLY_PROJECTION() const double weight=weight0 |
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[2a7e20e] | 499 | #elif defined(CALL_IQ_XY) // pass orientation to the model |
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[108e70e] | 500 | // CRUFT: support oriented model which define Iqxy rather than Iqac or Iqabc |
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| 501 | // Need to plug the values for the orientation angles back into parameter |
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| 502 | // table in case they were overridden by the orientation offset. This |
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| 503 | // means that orientation dispersity will not work for these models, but |
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| 504 | // it was broken anyway, so no matter. Still want to provide Iqxy in case |
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| 505 | // the user model wants full control of orientation/magnetism. |
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| 506 | #if defined(HAVE_PSI) |
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| 507 | const double theta = values[details->theta_par+2]; |
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| 508 | const double phi = values[details->theta_par+3]; |
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| 509 | const double psi = values[details->theta_par+4]; |
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| 510 | double weight; |
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| 511 | #define APPLY_PROJECTION() do { \ |
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| 512 | local_values.table.theta = theta; \ |
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| 513 | local_values.table.phi = phi; \ |
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| 514 | local_values.table.psi = psi; \ |
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| 515 | weight=weight0; \ |
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| 516 | } while (0) |
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| 517 | #elif defined(HAVE_THETA) |
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| 518 | const double theta = values[details->theta_par+2]; |
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| 519 | const double phi = values[details->theta_par+3]; |
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| 520 | double weight; |
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| 521 | #define APPLY_PROJECTION() do { \ |
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| 522 | local_values.table.theta = theta; \ |
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| 523 | local_values.table.phi = phi; \ |
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| 524 | weight=weight0; \ |
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| 525 | } while (0) |
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| 526 | #else |
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| 527 | #define APPLY_PROJECTION() const double weight=weight0 |
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| 528 | #endif |
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[2a7e20e] | 529 | #else // apply jitter and view before calling the model |
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[9ee2756] | 530 | // Grab the "view" angles (theta, phi, psi) from the initial parameter table. |
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| 531 | const double theta = values[details->theta_par+2]; |
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| 532 | const double phi = values[details->theta_par+3]; |
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[6aee3ab] | 533 | // Make sure jitter angle defaults to zero if there is no jitter distribution |
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| 534 | local_values.table.theta = 0.; |
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| 535 | local_values.table.phi = 0.; |
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[ff10479] | 536 | // The "jitter" angles (dtheta, dphi, dpsi) are stored with the |
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| 537 | // dispersity values and copied to the local parameter table as |
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| 538 | // we go through the mesh. |
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| 539 | double dtheta, dphi, weight; |
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[2a7e20e] | 540 | #if PROJECTION == 1 // equirectangular |
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[ff10479] | 541 | #define APPLY_PROJECTION() do { \ |
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[767dca8] | 542 | dtheta = local_values.table.theta; \ |
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| 543 | dphi = local_values.table.phi; \ |
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[ff10479] | 544 | weight = fabs(cos(dtheta*M_PI_180)) * weight0; \ |
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[767dca8] | 545 | } while (0) |
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[2a7e20e] | 546 | #elif PROJECTION == 2 // sinusoidal |
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[ff10479] | 547 | #define APPLY_PROJECTION() do { \ |
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[767dca8] | 548 | dtheta = local_values.table.theta; \ |
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| 549 | dphi = local_values.table.phi; \ |
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[ff10479] | 550 | weight = weight0; \ |
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| 551 | if (dtheta != 90.0) dphi /= cos(dtheta*M_PI_180); \ |
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| 552 | else if (dphi != 0.0) weight = 0.; \ |
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| 553 | if (fabs(dphi) >= 180.) weight = 0.; \ |
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[767dca8] | 554 | } while (0) |
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| 555 | #endif |
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[2a7e20e] | 556 | #endif // done defining APPLY_PROJECTION |
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[9ee2756] | 557 | |
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[6aee3ab] | 558 | // ** define looping macros ** |
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| 559 | |
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| 560 | // Define looping variables |
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| 561 | #define PD_INIT(_LOOP) \ |
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| 562 | const int n##_LOOP = details->pd_length[_LOOP]; \ |
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| 563 | const int p##_LOOP = details->pd_par[_LOOP]; \ |
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| 564 | global const double *v##_LOOP = pd_value + details->pd_offset[_LOOP]; \ |
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| 565 | global const double *w##_LOOP = pd_weight + details->pd_offset[_LOOP]; \ |
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| 566 | int i##_LOOP = (pd_start/details->pd_stride[_LOOP])%n##_LOOP; |
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| 567 | |
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| 568 | // Jump into the middle of the dispersity loop |
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| 569 | #define PD_OPEN(_LOOP,_OUTER) \ |
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| 570 | while (i##_LOOP < n##_LOOP) { \ |
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| 571 | local_values.vector[p##_LOOP] = v##_LOOP[i##_LOOP]; \ |
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| 572 | const double weight##_LOOP = w##_LOOP[i##_LOOP] * weight##_OUTER; |
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| 573 | |
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| 574 | // create the variable "weight#=1.0" where # is the outermost level+1 (=MAX_PD). |
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| 575 | #define _PD_OUTERMOST_WEIGHT(_n) const double weight##_n = 1.0; |
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| 576 | #define PD_OUTERMOST_WEIGHT(_n) _PD_OUTERMOST_WEIGHT(_n) |
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| 577 | |
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| 578 | // Close out the loop |
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| 579 | #define PD_CLOSE(_LOOP) \ |
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| 580 | if (step >= pd_stop) break; \ |
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| 581 | ++i##_LOOP; \ |
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| 582 | } \ |
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| 583 | i##_LOOP = 0; |
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[9eb3632] | 584 | |
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[9ee2756] | 585 | // ====== construct the loops ======= |
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| 586 | |
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| 587 | // Pointers to the start of the dispersity and weight vectors, if needed. |
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[7b7da6b] | 588 | #if MAX_PD>0 |
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[bde38b5] | 589 | global const double *pd_value = values + NUM_VALUES; |
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| 590 | global const double *pd_weight = pd_value + details->num_weights; |
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[7b7da6b] | 591 | #endif |
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[9eb3632] | 592 | |
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[9ee2756] | 593 | // The variable "step" is the current position in the dispersity loop. |
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| 594 | // It will be incremented each time a new point in the mesh is accumulated, |
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| 595 | // and used to test whether we have reached pd_stop. |
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| 596 | int step = pd_start; |
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| 597 | |
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[6aee3ab] | 598 | // *** define loops for each of 0, 1, 2, ..., modelinfo.MAX_PD-1 *** |
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| 599 | |
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[9ee2756] | 600 | // define looping variables |
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[9eb3632] | 601 | #if MAX_PD>4 |
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[9ee2756] | 602 | PD_INIT(4) |
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[9eb3632] | 603 | #endif |
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| 604 | #if MAX_PD>3 |
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[9ee2756] | 605 | PD_INIT(3) |
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[9eb3632] | 606 | #endif |
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| 607 | #if MAX_PD>2 |
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[9ee2756] | 608 | PD_INIT(2) |
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[9eb3632] | 609 | #endif |
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| 610 | #if MAX_PD>1 |
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[9ee2756] | 611 | PD_INIT(1) |
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[9eb3632] | 612 | #endif |
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| 613 | #if MAX_PD>0 |
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[9ee2756] | 614 | PD_INIT(0) |
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[9eb3632] | 615 | #endif |
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[2e44ac7] | 616 | |
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[9ee2756] | 617 | // open nested loops |
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| 618 | PD_OUTERMOST_WEIGHT(MAX_PD) |
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[9eb3632] | 619 | #if MAX_PD>4 |
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[9ee2756] | 620 | PD_OPEN(4,5) |
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[9eb3632] | 621 | #endif |
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| 622 | #if MAX_PD>3 |
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[9ee2756] | 623 | PD_OPEN(3,4) |
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[9eb3632] | 624 | #endif |
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| 625 | #if MAX_PD>2 |
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[9ee2756] | 626 | PD_OPEN(2,3) |
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[9eb3632] | 627 | #endif |
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| 628 | #if MAX_PD>1 |
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[9ee2756] | 629 | PD_OPEN(1,2) |
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[9eb3632] | 630 | #endif |
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| 631 | #if MAX_PD>0 |
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[9ee2756] | 632 | PD_OPEN(0,1) |
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[9eb3632] | 633 | #endif |
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[5ff1b03] | 634 | |
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[9ee2756] | 635 | //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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| 636 | |
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| 637 | // ====== loop body ======= |
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| 638 | #ifdef INVALID |
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| 639 | if (!INVALID(local_values.table)) |
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| 640 | #endif |
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| 641 | { |
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[ff10479] | 642 | APPLY_PROJECTION(); |
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| 643 | |
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[9ee2756] | 644 | // Accumulate I(q) |
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| 645 | // Note: weight==0 must always be excluded |
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[767dca8] | 646 | if (weight > cutoff) { |
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| 647 | pd_norm += weight * CALL_VOLUME(local_values.table); |
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[2c108a3] | 648 | BUILD_ROTATION(); |
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[9ee2756] | 649 | |
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| 650 | #ifndef USE_OPENCL |
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| 651 | // DLL needs to explicitly loop over the q values. |
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| 652 | #ifdef USE_OPENMP |
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| 653 | #pragma omp parallel for |
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| 654 | #endif |
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| 655 | for (q_index=0; q_index<nq; q_index++) |
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| 656 | #endif // !USE_OPENCL |
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| 657 | { |
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| 658 | |
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[2c108a3] | 659 | FETCH_Q(); |
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| 660 | APPLY_ROTATION(); |
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[9ee2756] | 661 | |
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| 662 | // ======= COMPUTE SCATTERING ========== |
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| 663 | #if defined(MAGNETIC) && NUM_MAGNETIC > 0 |
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[2c108a3] | 664 | // Compute the scattering from the magnetic cross sections. |
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| 665 | double scattering = 0.0; |
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| 666 | const double qsq = qx*qx + qy*qy; |
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| 667 | if (qsq > 1.e-16) { |
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| 668 | // TODO: what is the magnetic scattering at q=0 |
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| 669 | const double px = (qy*cos_mspin + qx*sin_mspin)/qsq; |
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| 670 | const double py = (qy*sin_mspin - qx*cos_mspin)/qsq; |
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| 671 | |
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| 672 | // loop over uu, ud real, du real, dd, ud imag, du imag |
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[aadec17] | 673 | for (unsigned int xs=0; xs<6; xs++) { |
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[885753a] | 674 | const double xs_weight = xs_weights[xs]; |
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[2c108a3] | 675 | if (xs_weight > 1.e-8) { |
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| 676 | // Since the cross section weight is significant, set the slds |
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| 677 | // to the effective slds for this cross section, call the |
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| 678 | // kernel, and add according to weight. |
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| 679 | for (int sk=0; sk<NUM_MAGNETIC; sk++) { |
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| 680 | const int32_t mag_index = NUM_PARS+5 + 3*sk; |
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| 681 | const int32_t sld_index = slds[sk]; |
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| 682 | const double mx = values[mag_index]; |
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| 683 | const double my = values[mag_index+1]; |
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| 684 | const double mz = values[mag_index+2]; |
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| 685 | local_values.vector[sld_index] = |
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| 686 | mag_sld(xs, qx, qy, px, py, values[sld_index+2], mx, my, mz); |
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[885753a] | 687 | //if (q_index==0) printf("%d: (qx,qy)=(%g,%g) xs=%d sld%d=%g p=(%g,%g) m=(%g,%g,%g)\n", |
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[dc6f601] | 688 | // q_index, qx, qy, xs, sk, local_values.vector[sld_index], px, py, mx, my, mz); |
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[2c108a3] | 689 | } |
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| 690 | scattering += xs_weight * CALL_KERNEL(); |
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[a4280bd] | 691 | } |
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[9eb3632] | 692 | } |
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[32e3c9b] | 693 | } |
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[9ee2756] | 694 | #else // !MAGNETIC |
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[2c108a3] | 695 | const double scattering = CALL_KERNEL(); |
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[9ee2756] | 696 | #endif // !MAGNETIC |
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[767dca8] | 697 | //printf("q_index:%d %g %g %g %g\n", q_index, scattering, weight0); |
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[9ee2756] | 698 | |
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| 699 | #ifdef USE_OPENCL |
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[767dca8] | 700 | this_result += weight * scattering; |
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[9ee2756] | 701 | #else // !USE_OPENCL |
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[767dca8] | 702 | result[q_index] += weight * scattering; |
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[9ee2756] | 703 | #endif // !USE_OPENCL |
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[3044216] | 704 | } |
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[03cac08] | 705 | } |
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[2e44ac7] | 706 | } |
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[9ee2756] | 707 | |
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| 708 | // close nested loops |
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| 709 | ++step; |
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| 710 | #if MAX_PD>0 |
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| 711 | PD_CLOSE(0) |
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[9eb3632] | 712 | #endif |
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| 713 | #if MAX_PD>1 |
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[9ee2756] | 714 | PD_CLOSE(1) |
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[9eb3632] | 715 | #endif |
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| 716 | #if MAX_PD>2 |
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[9ee2756] | 717 | PD_CLOSE(2) |
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[9eb3632] | 718 | #endif |
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| 719 | #if MAX_PD>3 |
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[9ee2756] | 720 | PD_CLOSE(3) |
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[9eb3632] | 721 | #endif |
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| 722 | #if MAX_PD>4 |
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[9ee2756] | 723 | PD_CLOSE(4) |
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[9eb3632] | 724 | #endif |
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[f2f67a6] | 725 | |
---|
[9ee2756] | 726 | // Remember the current result and the updated norm. |
---|
| 727 | #ifdef USE_OPENCL |
---|
| 728 | result[q_index] = this_result; |
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| 729 | if (q_index == 0) result[nq] = pd_norm; |
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| 730 | //if (q_index == 0) printf("res: %g/%g\n", result[0], pd_norm); |
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| 731 | #else // !USE_OPENCL |
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[a738209] | 732 | result[nq] = pd_norm; |
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[9ee2756] | 733 | //printf("res: %g/%g\n", result[0], pd_norm); |
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| 734 | #endif // !USE_OPENCL |
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[2c108a3] | 735 | |
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[6aee3ab] | 736 | // ** clear the macros in preparation for the next kernel ** |
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[2c108a3] | 737 | #undef PD_INIT |
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| 738 | #undef PD_OPEN |
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| 739 | #undef PD_CLOSE |
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| 740 | #undef FETCH_Q |
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[ff10479] | 741 | #undef APPLY_PROJECTION |
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[2c108a3] | 742 | #undef BUILD_ROTATION |
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| 743 | #undef APPLY_ROTATION |
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| 744 | #undef CALL_KERNEL |
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[2e44ac7] | 745 | } |
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