| 1 | // The original code, of which work was not DANSE funded, |
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| 2 | // was provided by J. Cho. |
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| 3 | /** |
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| 4 | * NR model Parratt method |
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| 5 | */ |
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| 6 | #include <math.h> |
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| 7 | #include "refl_adv.h" |
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| 8 | #include "libmultifunc/librefl.h" |
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| 9 | #include <stdio.h> |
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| 10 | #include <stdlib.h> |
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| 11 | |
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| 12 | #define lamda 4.62 |
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| 13 | |
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| 14 | |
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| 15 | double re_adv_kernel(double dp[], double q) { |
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| 16 | int n = dp[0]; |
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| 17 | int i,j,fun_type[n+2]; |
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| 18 | double nsl; |
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| 19 | |
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| 20 | double scale = dp[1]; |
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| 21 | double thick_inter_sub = dp[2]; |
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| 22 | double sld_sub = dp[4]; |
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| 23 | double sld_super = dp[5]; |
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| 24 | double background = dp[6]; |
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| 25 | double npts = dp[69]; //number of sub_layers in each interface |
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| 26 | |
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| 27 | double sld[n+2],sld_im[n+2],thick_inter[n+2],thick[n+2],fun_coef[n+2],total_thick; |
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| 28 | |
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| 29 | int n_s; |
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| 30 | double sld_i,sldim_i,dz,phi,R,ko2; |
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| 31 | double sign,erfunc; |
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| 32 | double pi; |
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| 33 | |
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| 34 | fun_type[0] = dp[3]; |
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| 35 | fun_coef[0] = fabs(dp[70]); |
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| 36 | for (i =1; i<=n; i++){ |
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| 37 | sld[i] = dp[i+6]; |
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| 38 | thick_inter[i]= dp[i+16]; |
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| 39 | thick[i] = dp[i+26]; |
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| 40 | fun_type[i] = dp[i+36]; |
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| 41 | sld_im[i] = dp[i+46]; |
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| 42 | fun_coef[i] = fabs(dp[i+56]); |
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| 43 | //printf("type_func2 =%g\n",fun_coef[i]); |
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| 44 | |
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| 45 | total_thick += thick[i] + thick_inter[i]; |
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| 46 | } |
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| 47 | sld[0] = sld_sub; |
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| 48 | sld[n+1] = sld_super; |
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| 49 | sld_im[0] = fabs(dp[1+66]); |
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| 50 | sld_im[n+1] = fabs(dp[2+66]); |
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| 51 | thick[0] = total_thick/5.0; |
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| 52 | thick[n+1] = total_thick/5.0; |
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| 53 | thick_inter[0] = thick_inter_sub; |
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| 54 | thick_inter[n+1] = 0.0; |
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| 55 | fun_coef[n+1] = 0.0; |
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| 56 | |
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| 57 | nsl=npts;//21.0; //nsl = Num_sub_layer: MUST ODD number in double //no other number works now |
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| 58 | |
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| 59 | complex inv_n,phi1,alpha,alpha2,kn,fnm,fnp,rn,Xn,nn,nn2,an,nnp1,one,zero,two,n_sub,n_sup,knp1,Xnp1; |
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| 60 | pi = 4.0*atan(1.0); |
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| 61 | one = cassign(1.0,0.0); |
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| 62 | //zero = cassign(0.0,0.0); |
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| 63 | two= cassign(0.0,-2.0); |
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| 64 | |
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| 65 | //Checking if floor is available. |
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| 66 | //no imaginary sld inputs in this function yet |
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| 67 | n_sub=cassign(1.0-sld_sub*pow(lamda,2.0)/(2.0*pi),pow(lamda,2.0)/(2.0*pi)*sld_im[0]); |
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| 68 | n_sup=cassign(1.0-sld_super*pow(lamda,2.0)/(2.0*pi),pow(lamda,2.0)/(2.0*pi)*sld_im[n+1]); |
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| 69 | ko2 = pow(2.0*pi/lamda,2.0); |
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| 70 | |
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| 71 | phi = asin(lamda*q/(4.0*pi)); |
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| 72 | phi1 = cdiv(rcmult(phi,one),n_sup); |
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| 73 | alpha = cmult(n_sup,ccos(phi1)); |
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| 74 | alpha2 = cmult(alpha,alpha); |
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| 75 | |
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| 76 | nnp1=n_sub; |
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| 77 | knp1=csqrt(rcmult(ko2,csub(cmult(nnp1,nnp1),alpha2))); //nnp1*ko*sin(phinp1) |
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| 78 | Xnp1=cassign(0.0,0.0); |
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| 79 | dz = 0.0; |
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| 80 | // iteration for # of layers +sub from the top |
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| 81 | for (i=1;i<=n+1; i++){ |
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| 82 | //if (fun_coef[i]==0.0) |
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| 83 | // // this condition protects an error in numerical multiplication |
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| 84 | // fun_coef[i] = 1e-14; |
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| 85 | //iteration for 9 sub-layers |
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| 86 | for (j=0;j<2;j++){ |
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| 87 | for (n_s=0;n_s<nsl; n_s++){ |
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| 88 | // for flat layer |
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| 89 | if (j==1){ |
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| 90 | if (i==n+1) |
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| 91 | break; |
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| 92 | dz = thick[i]; |
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| 93 | sld_i = sld[i]; |
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| 94 | sldim_i = sld_im[i]; |
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| 95 | } |
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| 96 | // for interface |
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| 97 | else{ |
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| 98 | dz = thick_inter[i-1]/nsl; |
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| 99 | if (sld[i-1] == sld[i]){ |
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| 100 | sld_i = sld[i]; |
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| 101 | } |
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| 102 | else{ |
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| 103 | sld_i = intersldfunc(fun_type[i-1],nsl, n_s+0.5, fun_coef[i-1], sld[i-1], sld[i]); |
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| 104 | } |
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| 105 | if (sld_im[i-1] == sld_im[i]){ |
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| 106 | sldim_i = sld_im[i]; |
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| 107 | } |
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| 108 | else{ |
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| 109 | sldim_i = intersldfunc(fun_type[i-1],nsl, n_s+0.5, fun_coef[i-1], sld_im[i-1], sld_im[i]); |
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| 110 | } |
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| 111 | } |
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| 112 | nn = cassign(1.0-sld_i*pow(lamda,2.0)/(2.0*pi),pow(lamda,2.0)/(2.0*pi)*sldim_i); |
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| 113 | nn2=cmult(nn,nn); |
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| 114 | |
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| 115 | kn=csqrt(rcmult(ko2,csub(nn2,alpha2))); //nn*ko*sin(phin) |
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| 116 | an=cexp(rcmult(dz,cmult(two,kn))); |
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| 117 | |
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| 118 | fnm=csub(kn,knp1); |
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| 119 | fnp=cadd(kn,knp1); |
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| 120 | rn=cdiv(fnm,fnp); |
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| 121 | Xn=cmult(an,cdiv(cadd(rn,Xnp1),cadd(one,cmult(rn,Xnp1)))); //Xn=an*((rn+Xnp1*anp1)/(1+rn*Xnp1*anp1)) |
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| 122 | |
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| 123 | Xnp1=Xn; |
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| 124 | knp1=kn; |
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| 125 | // no for-loop for flat layer |
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| 126 | if (j==1) |
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| 127 | break; |
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| 128 | } |
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| 129 | } |
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| 130 | } |
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| 131 | R=pow(Xn.re,2.0)+pow(Xn.im,2.0); |
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| 132 | // This temperarily fixes the total reflection for Rfunction and linear. |
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| 133 | // ToDo: Show why it happens that Xn.re=0 and Xn.im >1! |
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| 134 | if (Xn.im == 0.0 || R > 1){ |
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| 135 | R=1.0; |
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| 136 | } |
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| 137 | R *= scale; |
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| 138 | R += background; |
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| 139 | |
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| 140 | return R; |
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| 141 | |
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| 142 | } |
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| 143 | |
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| 144 | /** |
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| 145 | * Function to evaluate NR function |
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| 146 | * @param pars: parameters of refl |
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| 147 | * @param q: q-value |
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| 148 | * @return: function value |
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| 149 | */ |
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| 150 | |
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| 151 | double refl_adv_analytical_1D(ReflAdvParameters *pars, double q) { |
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| 152 | double dp[71]; |
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| 153 | |
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| 154 | dp[0] = pars->n_layers; |
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| 155 | dp[1] = pars->scale; |
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| 156 | dp[2] = pars->thick_inter0; |
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| 157 | dp[3] = pars->func_inter0; |
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| 158 | dp[4] = pars->sld_bottom0; |
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| 159 | dp[5] = pars->sld_medium; |
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| 160 | dp[6] = pars->background; |
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| 161 | |
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| 162 | dp[7] = pars->sld_flat1; |
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| 163 | dp[8] = pars->sld_flat2; |
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| 164 | dp[9] = pars->sld_flat3; |
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| 165 | dp[10] = pars->sld_flat4; |
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| 166 | dp[11] = pars->sld_flat5; |
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| 167 | dp[12] = pars->sld_flat6; |
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| 168 | dp[13] = pars->sld_flat7; |
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| 169 | dp[14] = pars->sld_flat8; |
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| 170 | dp[15] = pars->sld_flat9; |
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| 171 | dp[16] = pars->sld_flat10; |
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| 172 | |
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| 173 | dp[17] = pars->thick_inter1; |
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| 174 | dp[18] = pars->thick_inter2; |
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| 175 | dp[19] = pars->thick_inter3; |
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| 176 | dp[20] = pars->thick_inter4; |
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| 177 | dp[21] = pars->thick_inter5; |
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| 178 | dp[22] = pars->thick_inter6; |
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| 179 | dp[23] = pars->thick_inter7; |
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| 180 | dp[24] = pars->thick_inter8; |
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| 181 | dp[25] = pars->thick_inter9; |
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| 182 | dp[26] = pars->thick_inter10; |
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| 183 | |
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| 184 | dp[27] = pars->thick_flat1; |
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| 185 | dp[28] = pars->thick_flat2; |
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| 186 | dp[29] = pars->thick_flat3; |
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| 187 | dp[30] = pars->thick_flat4; |
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| 188 | dp[31] = pars->thick_flat5; |
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| 189 | dp[32] = pars->thick_flat6; |
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| 190 | dp[33] = pars->thick_flat7; |
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| 191 | dp[34] = pars->thick_flat8; |
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| 192 | dp[35] = pars->thick_flat9; |
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| 193 | dp[36] = pars->thick_flat10; |
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| 194 | |
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| 195 | dp[37] = pars->func_inter1; |
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| 196 | dp[38] = pars->func_inter2; |
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| 197 | dp[39] = pars->func_inter3; |
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| 198 | dp[40] = pars->func_inter4; |
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| 199 | dp[41] = pars->func_inter5; |
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| 200 | dp[42] = pars->func_inter6; |
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| 201 | dp[43] = pars->func_inter7; |
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| 202 | dp[44] = pars->func_inter8; |
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| 203 | dp[45] = pars->func_inter9; |
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| 204 | dp[46] = pars->func_inter10; |
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| 205 | |
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| 206 | dp[47] = pars->sldIM_flat1; |
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| 207 | dp[48] = pars->sldIM_flat2; |
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| 208 | dp[49] = pars->sldIM_flat3; |
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| 209 | dp[50] = pars->sldIM_flat4; |
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| 210 | dp[51] = pars->sldIM_flat5; |
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| 211 | dp[52] = pars->sldIM_flat6; |
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| 212 | dp[53] = pars->sldIM_flat7; |
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| 213 | dp[54] = pars->sldIM_flat8; |
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| 214 | dp[55] = pars->sldIM_flat9; |
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| 215 | dp[56] = pars->sldIM_flat10; |
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| 216 | |
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| 217 | dp[57] = pars->nu_inter1; |
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| 218 | dp[58] = pars->nu_inter2; |
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| 219 | dp[59] = pars->nu_inter3; |
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| 220 | dp[60] = pars->nu_inter4; |
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| 221 | dp[61] = pars->nu_inter5; |
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| 222 | dp[62] = pars->nu_inter6; |
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| 223 | dp[63] = pars->nu_inter7; |
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| 224 | dp[64] = pars->nu_inter8; |
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| 225 | dp[65] = pars->nu_inter9; |
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| 226 | dp[66] = pars->nu_inter10; |
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| 227 | |
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| 228 | dp[67] = pars->sldIM_sub0; |
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| 229 | dp[68] = pars->sldIM_medium; |
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| 230 | dp[69] = pars->npts_inter; |
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| 231 | dp[70] = pars->nu_inter0; |
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| 232 | |
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| 233 | return re_adv_kernel(dp, q); |
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| 234 | } |
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| 235 | |
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| 236 | /** |
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| 237 | * Function to evaluate NR function |
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| 238 | * @param pars: parameters of NR |
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| 239 | * @param q: q-value |
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| 240 | * @return: function value |
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| 241 | */ |
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| 242 | double refl_adv_analytical_2D(ReflAdvParameters *pars, double q, double phi) { |
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| 243 | return refl_adv_analytical_1D(pars,q); |
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| 244 | } |
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| 245 | |
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| 246 | double refl_adv_analytical_2DXY(ReflAdvParameters *pars, double qx, double qy){ |
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| 247 | return refl_adv_analytical_1D(pars,sqrt(qx*qx+qy*qy)); |
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| 248 | } |
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