1 | /** |
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2 | Computes the (magnetic) scattering form sld (n and m) profile |
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3 | */ |
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4 | #include "sld2i.hh" |
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5 | #include <stdio.h> |
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6 | #include <math.h> |
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7 | using namespace std; |
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8 | extern "C" { |
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9 | #include "libfunc.h" |
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10 | #include "librefl.h" |
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11 | } |
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12 | /** |
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13 | * Constructor for GenI |
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14 | * |
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15 | * binning |
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16 | * //@param qx: array of Qx values |
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17 | * //@param qy: array of Qy values |
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18 | * //@param qz: array of Qz values |
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19 | * @param x: array of x values |
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20 | * @param y: array of y values |
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21 | * @param z: array of z values |
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22 | * @param sldn: array of sld n |
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23 | * @param mx: array of sld mx |
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24 | * @param my: array of sld my |
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25 | * @param mz: array of sld mz |
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26 | * @param in_spin: ratio of up spin in Iin |
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27 | * @param out_spin: ratio of up spin in Iout |
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28 | * @param s_theta: angle (from x-axis) of the up spin in degree |
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29 | */ |
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30 | GenI :: GenI(int npix, double* x, double* y, double* z, double* sldn, |
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31 | double* mx, double* my, double* mz, double* voli, |
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32 | double in_spin, double out_spin, |
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33 | double s_theta) { |
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34 | //this->qx_val = qx; |
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35 | //this->qy_val = qy; |
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36 | //this->qz_val = qz; |
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37 | this->n_pix = npix; |
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38 | this->x_val = x; |
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39 | this->y_val = y; |
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40 | this->z_val = z; |
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41 | this->sldn_val = sldn; |
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42 | this->mx_val = mx; |
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43 | this->my_val = my; |
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44 | this->mz_val = mz; |
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45 | this->vol_pix = voli; |
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46 | this->inspin = in_spin; |
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47 | this->outspin = out_spin; |
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48 | this->stheta = s_theta; |
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49 | }; |
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50 | |
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51 | /** |
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52 | * Compute 2D anisotropic |
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53 | */ |
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54 | void GenI :: genicomXY(int npoints, double *qx, double *qy, double *I_out){ |
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55 | //npoints is given negative for angular averaging |
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56 | // Assumes that q doesn't have qz component and sld_n is all real |
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57 | //double q = 0.0; |
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58 | //double Pi = 4.0*atan(1.0); |
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59 | polar_sld b_sld; |
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60 | double qr = 0.0; |
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61 | complex iqr = cassign(0.0, 0.0); |
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62 | complex ephase = cassign(0.0, 0.0); |
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63 | complex comp_sld = cassign(0.0, 0.0); |
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64 | |
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65 | complex sumj_uu; |
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66 | complex sumj_ud; |
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67 | complex sumj_du; |
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68 | complex sumj_dd; |
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69 | complex temp_fi; |
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70 | |
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71 | double count = 0.0; |
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72 | //check if this computation is for averaging |
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73 | |
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74 | //Assume that pixel volumes are given in vol_pix in A^3 unit |
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75 | //int x_size = 0; //in Ang |
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76 | //int y_size = 0; //in Ang |
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77 | //int z_size = 0; //in Ang |
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78 | |
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79 | // Loop over q-values and multiply apply matrix |
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80 | |
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81 | for(int i=0; i<npoints; i++){ |
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82 | //I_out[i] = 0.0; |
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83 | sumj_uu = cassign(0.0, 0.0); |
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84 | sumj_ud = cassign(0.0, 0.0); |
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85 | sumj_du = cassign(0.0, 0.0); |
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86 | sumj_dd = cassign(0.0, 0.0); |
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87 | //printf ("%d ", i); |
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88 | //q = sqrt(qx[i]*qx[i] + qy[i]*qy[i]); // + qz[i]*qz[i]); |
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89 | |
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90 | for(int j=0; j<n_pix; j++){ |
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91 | if (sldn_val[j]!=0.0||mx_val[j]!=0.0||my_val[j]!=0.0||mz_val[j]!=0.0) |
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92 | { |
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93 | //anisotropic |
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94 | temp_fi = cassign(0.0, 0.0); |
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95 | b_sld = cal_msld(0, qx[i], qy[i], sldn_val[j], |
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96 | mx_val[j], my_val[j], mz_val[j], |
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97 | inspin, outspin, stheta); |
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98 | qr = (qx[i]*x_val[j] + qy[i]*y_val[j]); |
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99 | iqr = cassign(0.0, qr); |
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100 | ephase = cplx_exp(iqr); |
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101 | |
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102 | //Let's multiply pixel(atomic) volume here |
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103 | ephase = rcmult(vol_pix[j], ephase); |
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104 | //up_up |
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105 | if (inspin > 0.0 && outspin > 0.0){ |
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106 | comp_sld = cassign(b_sld.uu, 0.0); |
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107 | temp_fi = cplx_mult(comp_sld, ephase); |
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108 | sumj_uu = cplx_add(sumj_uu, temp_fi); |
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109 | } |
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110 | //down_down |
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111 | if (inspin < 1.0 && outspin < 1.0){ |
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112 | comp_sld = cassign(b_sld.dd, 0.0); |
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113 | temp_fi = cplx_mult(comp_sld, ephase); |
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114 | sumj_dd = cplx_add(sumj_dd, temp_fi); |
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115 | } |
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116 | //up_down |
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117 | if (inspin > 0.0 && outspin < 1.0){ |
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118 | comp_sld = cassign(b_sld.re_ud, b_sld.im_ud); |
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119 | temp_fi = cplx_mult(comp_sld, ephase); |
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120 | sumj_ud = cplx_add(sumj_ud, temp_fi); |
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121 | } |
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122 | //down_up |
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123 | if (inspin < 1.0 && outspin > 0.0){ |
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124 | comp_sld = cassign(b_sld.re_du, b_sld.im_du); |
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125 | temp_fi = cplx_mult(comp_sld, ephase); |
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126 | sumj_du = cplx_add(sumj_du, temp_fi); |
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127 | } |
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128 | |
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129 | |
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130 | if (i == 0){ |
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131 | count += vol_pix[j]; |
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132 | } |
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133 | } |
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134 | } |
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135 | //printf("aa%d=%g %g %d\n", i, (sumj_uu.re*sumj_uu.re + sumj_uu.im*sumj_uu.im), (sumj_dd.re*sumj_dd.re + sumj_dd.im*sumj_dd.im), count); |
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136 | |
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137 | I_out[i] = (sumj_uu.re*sumj_uu.re + sumj_uu.im*sumj_uu.im); |
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138 | I_out[i] += (sumj_ud.re*sumj_ud.re + sumj_ud.im*sumj_ud.im); |
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139 | I_out[i] += (sumj_du.re*sumj_du.re + sumj_du.im*sumj_du.im); |
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140 | I_out[i] += (sumj_dd.re*sumj_dd.re + sumj_dd.im*sumj_dd.im); |
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141 | |
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142 | I_out[i] *= (1.0E+8 / count); //in cm (unit) / number; //to be multiplied by vol_pix |
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143 | } |
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144 | //printf ("count = %d %g %g %g %g\n", count, sldn_val[0],mx_val[0], my_val[0], mz_val[0]); |
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145 | } |
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146 | /** |
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147 | * Compute 1D isotropic |
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148 | * Isotropic: Assumes all slds are real (no magnetic) |
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149 | * Also assumes there is no polarization: No dependency on spin |
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150 | */ |
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151 | void GenI :: genicom(int npoints, double *q, double *I_out){ |
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152 | //npoints is given negative for angular averaging |
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153 | // Assumes that q doesn't have qz component and sld_n is all real |
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154 | //double Pi = 4.0*atan(1.0); |
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155 | int is_sym = 0; |
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156 | double qr = 0.0; |
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157 | double sumj; |
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158 | double sld_j = 0.0; |
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159 | double count = 0.0; |
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160 | if (n_pix < 0 ){ |
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161 | is_sym = 1; |
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162 | n_pix = n_pix * -1; |
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163 | } |
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164 | //Assume that pixel volumes are given in vol_pix in A^3 unit |
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165 | // Loop over q-values and multiply apply matrix |
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166 | for(int i=0; i<npoints; i++){ |
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167 | sumj =0.0; |
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168 | for(int j=0; j<n_pix; j++){ |
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169 | //Isotropic: Assumes all slds are real (no magnetic) |
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170 | //Also assumes there is no polarization: No dependency on spin |
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171 | if (is_sym == 1){ |
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172 | // approximation for a spherical symmetric particle |
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173 | qr = sqrt(x_val[j]*x_val[j]+y_val[j]*y_val[j]+z_val[j]*z_val[j])*q[i]; |
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174 | if (qr > 0.0){ |
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175 | qr = sin(qr) / qr; |
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176 | sumj += sldn_val[j] * vol_pix[j] * qr; |
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177 | } |
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178 | else{ |
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179 | sumj += sldn_val[j] * vol_pix[j]; |
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180 | } |
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181 | } |
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182 | else{ |
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183 | //full calculation |
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184 | //pragma omp parallel for |
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185 | for(int k=0; k<n_pix; k++){ |
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186 | sld_j = sldn_val[j] * sldn_val[k] * vol_pix[j] * vol_pix[k]; |
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187 | qr = (x_val[j]-x_val[k])*(x_val[j]-x_val[k])+ |
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188 | (y_val[j]-y_val[k])*(y_val[j]-y_val[k])+ |
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189 | (z_val[j]-z_val[k])*(z_val[j]-z_val[k]); |
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190 | qr = sqrt(qr) * q[i]; |
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191 | if (qr > 0.0){ |
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192 | sumj += sld_j*sin(qr)/qr; |
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193 | } |
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194 | else{ |
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195 | sumj += sld_j; |
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196 | } |
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197 | } |
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198 | } |
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199 | if (i == 0){ |
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200 | count += vol_pix[j]; |
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201 | } |
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202 | } |
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203 | I_out[i] = sumj; |
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204 | if (is_sym == 1){ |
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205 | I_out[i] *= sumj; |
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206 | } |
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207 | I_out[i] *= (1.0E+8 / count); //in cm (unit) / number; //to be multiplied by vol_pix |
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208 | } |
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209 | //printf ("count = %d %g %g %g %g\n", count, sldn_val[0],mx_val[0], my_val[0], mz_val[0]); |
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210 | } |
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