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//
// Non-Degree Granting Education License -- for use at non-degree
// granting, nonprofit, education, and research organizations only. Not
// for commercial or industrial use.
//
// abelesParallelPoints.cpp
//
// Code generation for function 'abelesParallelPoints'
//
// Include files
#include "abelesParallelPoints.h"
#include "RATMain_data.h"
#include "RATMain_rtwutil.h"
#include "exp.h"
#include "rt_nonfinite.h"
#include "sqrt.h"
#include "coder_array.h"
#include "omp.h"
#include <cmath>
// Function Declarations
namespace RAT
{
static creal_T findkn(real_T k0, const creal_T sld);
}
// Function Definitions
namespace RAT
{
static creal_T findkn(real_T k0, const creal_T sld)
{
creal_T dc;
creal_T dc1;
creal_T kn;
real_T k0_im;
real_T k0_re;
real_T re;
// sqrt function with branch cut in zarg from 0 to infinity along a ray
// at angle theta (in radians) measured from the +x axis in the usual way,
// with -pi<=theta<=pi. theta = pi is the usual square root.
// for zarg on the +x axis, sqrt behavior is conserved,
// i.e. sqrtbc(theta,zarg) is positive and real for any theta.
//
// y = sqrtbc(theta,zarg)
dc.re = 0.0;
dc.im = -0.78539816339744828;
coder::b_exp(&dc);
dc1.re = 0.0;
dc1.im = 1.5707963267948966;
coder::b_exp(&dc1);
k0_re = k0 * k0 - 12.566370614359172 * sld.re;
k0_im = 0.0 - 12.566370614359172 * sld.im;
re = k0_re * dc1.re - k0_im * dc1.im;
k0_re = k0_re * dc1.im + k0_im * dc1.re;
dc1.re = re;
dc1.im = k0_re;
coder::internal::scalar::d_sqrt(&dc1);
kn.re = dc.re * dc1.re - dc.im * dc1.im;
kn.im = dc.re * dc1.im + dc.im * dc1.re;
// translations: sqrtbc(theta, z-b) has branch cut in the z plane from
// branch point z = b out to infinity, along a ray at angle theta.
//
// for the usual square root with branch cut along -x,
// the real part of sqrt(z) is positive (or 0) for all z.
// for the modified square root with branch cut along +x,
// the imaginary part of sqrt(z) is positive (or 0) for all z.
return kn;
}
void abelesParallelPoints(const ::coder::array<real_T, 1U> &q, real_T N, const
::coder::array<real_T, 1U> &layers_thick, const ::coder::array<creal_T, 1U>
&layers_rho, const ::coder::array<real_T, 1U> &layers_sig, ::coder::array<
real_T, 1U> &ref)
{
creal_T M_n[2][2];
creal_T M_res[2][2];
creal_T M_tot[2][2];
creal_T M_n_tmp;
creal_T beta;
creal_T bulk_in_SLD;
creal_T denom1;
creal_T denom_n;
creal_T err1;
creal_T err_n;
creal_T k1;
creal_T kn_ptr;
creal_T knp1;
creal_T nom1;
creal_T nom_n;
creal_T r01;
creal_T r_n_np1;
creal_T sld_1;
creal_T sld_np1;
real_T M_tot_re_tmp;
real_T R;
real_T b_M_tot_re_tmp;
real_T brm;
real_T c_M_tot_re_tmp;
real_T d;
real_T d1;
real_T d_M_tot_re_tmp;
real_T im;
real_T k0;
real_T nom_n_re;
real_T sigmasqrd;
real_T sigmasqrd_tmp;
int32_T i1;
int32_T i2;
int32_T loop_ub;
int32_T n;
ref.set_size(q.size(0));
loop_ub = q.size(0);
for (int32_T i{0}; i < loop_ub; i++) {
ref[i] = 0.0;
}
loop_ub = q.size(0) - 1;
#pragma omp parallel for \
num_threads(omp_get_max_threads()) \
private(beta,r_n_np1,err_n,sigmasqrd,denom_n,nom_n,knp1,sld_np1,r01,err1,denom1,nom1,k1,sld_1,R,k0,bulk_in_SLD,kn_ptr,M_res,M_n,M_tot,i1,n,nom_n_re,sigmasqrd_tmp,brm,im,M_n_tmp,d,d1,i2,M_tot_re_tmp,b_M_tot_re_tmp,c_M_tot_re_tmp,d_M_tot_re_tmp)
for (int32_T points = 0; points <= loop_ub; points++) {
M_tot[0][0].re = 0.0;
M_tot[0][0].im = 0.0;
M_res[0][0].re = 0.0;
M_res[0][0].im = 0.0;
M_tot[0][1].re = 0.0;
M_tot[0][1].im = 0.0;
M_res[0][1].re = 0.0;
M_res[0][1].im = 0.0;
M_tot[1][0].re = 0.0;
M_tot[1][0].im = 0.0;
M_tot[1][1].re = 0.0;
M_tot[1][1].im = 0.0;
kn_ptr.re = 0.0;
kn_ptr.im = 0.0;
bulk_in_SLD.re = layers_rho[0].re;
bulk_in_SLD.im = layers_rho[0].im + 1.0E-30;
k0 = q[points] / 2.0;
i1 = static_cast<int32_T>(N - 1.0);
for (n = 0; n < i1; n++) {
if (static_cast<uint32_T>(n) + 1U == 1U) {
// Find k1..
sld_1.re = layers_rho[1].re - bulk_in_SLD.re;
sld_1.im = layers_rho[1].im - bulk_in_SLD.im;
k1 = findkn(k0, sld_1);
// Find r01
nom1.re = k0 - k1.re;
denom1.re = k0 + k1.re;
sigmasqrd = layers_sig[1] * layers_sig[1];
err1.re = sigmasqrd * (k0 * (-2.0 * k1.re));
err1.im = sigmasqrd * (k0 * (-2.0 * k1.im));
coder::b_exp(&err1);
if (k1.im == 0.0) {
nom_n_re = nom1.re / denom1.re;
sigmasqrd_tmp = 0.0;
} else if (denom1.re == 0.0) {
if (nom1.re == 0.0) {
nom_n_re = (0.0 - k1.im) / k1.im;
sigmasqrd_tmp = 0.0;
} else if (0.0 - k1.im == 0.0) {
nom_n_re = 0.0;
sigmasqrd_tmp = -(nom1.re / k1.im);
} else {
nom_n_re = (0.0 - k1.im) / k1.im;
sigmasqrd_tmp = -(nom1.re / k1.im);
}
} else {
brm = std::abs(denom1.re);
sigmasqrd_tmp = std::abs(k1.im);
if (brm > sigmasqrd_tmp) {
sigmasqrd_tmp = k1.im / denom1.re;
im = denom1.re + sigmasqrd_tmp * k1.im;
nom_n_re = (nom1.re + sigmasqrd_tmp * (0.0 - k1.im)) / im;
sigmasqrd_tmp = ((0.0 - k1.im) - sigmasqrd_tmp * nom1.re) / im;
} else if (sigmasqrd_tmp == brm) {
if (denom1.re > 0.0) {
sigmasqrd_tmp = 0.5;
} else {
sigmasqrd_tmp = -0.5;
}
if (k1.im > 0.0) {
im = 0.5;
} else {
im = -0.5;
}
nom_n_re = (nom1.re * sigmasqrd_tmp + (0.0 - k1.im) * im) / brm;
sigmasqrd_tmp = ((0.0 - k1.im) * sigmasqrd_tmp - nom1.re * im) /
brm;
} else {
sigmasqrd_tmp = denom1.re / k1.im;
im = k1.im + sigmasqrd_tmp * denom1.re;
nom_n_re = (sigmasqrd_tmp * nom1.re + (0.0 - k1.im)) / im;
sigmasqrd_tmp = (sigmasqrd_tmp * (0.0 - k1.im) - nom1.re) / im;
}
}
r01.re = nom_n_re * err1.re - sigmasqrd_tmp * err1.im;
r01.im = nom_n_re * err1.im + sigmasqrd_tmp * err1.re;
// Generate the M1 matrix:
M_tot[0][0].re = 1.0;
M_tot[0][0].im = 0.0;
M_tot[1][0] = r01;
M_tot[0][1] = r01;
M_tot[1][1].re = 1.0;
M_tot[1][1].im = 0.0;
kn_ptr = k1;
} else {
// Find kn and k_n+1 (ex. k1 and k2 for n=1): _/
sld_np1.re = layers_rho[n + 1].re - bulk_in_SLD.re;
sld_np1.im = layers_rho[n + 1].im - bulk_in_SLD.im;
knp1 = findkn(k0, sld_np1);
// Find r_n,n+1:
nom_n.re = kn_ptr.re - knp1.re;
nom_n.im = kn_ptr.im - knp1.im;
denom_n.re = kn_ptr.re + knp1.re;
denom_n.im = kn_ptr.im + knp1.im;
sigmasqrd_tmp = layers_sig[n + 1];
sigmasqrd = sigmasqrd_tmp * sigmasqrd_tmp;
sigmasqrd_tmp = -2.0 * kn_ptr.re;
im = -2.0 * kn_ptr.im;
err_n.re = sigmasqrd * (sigmasqrd_tmp * knp1.re - im * knp1.im);
err_n.im = sigmasqrd * (sigmasqrd_tmp * knp1.im + im * knp1.re);
coder::b_exp(&err_n);
if (denom_n.im == 0.0) {
if (nom_n.im == 0.0) {
nom_n_re = nom_n.re / denom_n.re;
sigmasqrd_tmp = 0.0;
} else if (nom_n.re == 0.0) {
nom_n_re = 0.0;
sigmasqrd_tmp = nom_n.im / denom_n.re;
} else {
nom_n_re = nom_n.re / denom_n.re;
sigmasqrd_tmp = nom_n.im / denom_n.re;
}
} else if (denom_n.re == 0.0) {
if (nom_n.re == 0.0) {
nom_n_re = nom_n.im / denom_n.im;
sigmasqrd_tmp = 0.0;
} else if (nom_n.im == 0.0) {
nom_n_re = 0.0;
sigmasqrd_tmp = -(nom_n.re / denom_n.im);
} else {
nom_n_re = nom_n.im / denom_n.im;
sigmasqrd_tmp = -(nom_n.re / denom_n.im);
}
} else {
brm = std::abs(denom_n.re);
sigmasqrd_tmp = std::abs(denom_n.im);
if (brm > sigmasqrd_tmp) {
sigmasqrd_tmp = denom_n.im / denom_n.re;
im = denom_n.re + sigmasqrd_tmp * denom_n.im;
nom_n_re = (nom_n.re + sigmasqrd_tmp * nom_n.im) / im;
sigmasqrd_tmp = (nom_n.im - sigmasqrd_tmp * nom_n.re) / im;
} else if (sigmasqrd_tmp == brm) {
if (denom_n.re > 0.0) {
sigmasqrd_tmp = 0.5;
} else {
sigmasqrd_tmp = -0.5;
}
if (denom_n.im > 0.0) {
im = 0.5;
} else {
im = -0.5;
}
nom_n_re = (nom_n.re * sigmasqrd_tmp + nom_n.im * im) / brm;
sigmasqrd_tmp = (nom_n.im * sigmasqrd_tmp - nom_n.re * im) / brm;
} else {
sigmasqrd_tmp = denom_n.re / denom_n.im;
im = denom_n.im + sigmasqrd_tmp * denom_n.re;
nom_n_re = (sigmasqrd_tmp * nom_n.re + nom_n.im) / im;
sigmasqrd_tmp = (sigmasqrd_tmp * nom_n.im - nom_n.re) / im;
}
}
r_n_np1.re = nom_n_re * err_n.re - sigmasqrd_tmp * err_n.im;
r_n_np1.im = nom_n_re * err_n.im + sigmasqrd_tmp * err_n.re;
// Find the Phase Factor = (k_n * d_n)
sigmasqrd_tmp = layers_thick[n] * kn_ptr.re;
im = layers_thick[n] * kn_ptr.im;
beta.re = sigmasqrd_tmp * 0.0 - im;
beta.im = sigmasqrd_tmp + im * 0.0;
// Create the M_n matrix: _/
M_n_tmp = beta;
coder::b_exp(&M_n_tmp);
M_n[0][0] = M_n_tmp;
M_n[1][0].re = r_n_np1.re * M_n_tmp.re - r_n_np1.im * M_n_tmp.im;
M_n[1][0].im = r_n_np1.re * M_n_tmp.im + r_n_np1.im * M_n_tmp.re;
M_n_tmp.re = -beta.re;
M_n_tmp.im = -beta.im;
coder::b_exp(&M_n_tmp);
M_n[0][1].re = r_n_np1.re * M_n_tmp.re - r_n_np1.im * M_n_tmp.im;
M_n[0][1].im = r_n_np1.re * M_n_tmp.im + r_n_np1.im * M_n_tmp.re;
// Multiply the matrices
sigmasqrd_tmp = M_n[0][0].re;
im = M_n[0][0].im;
brm = M_n[0][1].re;
nom_n_re = M_n[0][1].im;
d = M_n[1][0].re;
d1 = M_n[1][0].im;
for (i2 = 0; i2 < 2; i2++) {
M_tot_re_tmp = M_tot[0][i2].re;
b_M_tot_re_tmp = M_tot[0][i2].im;
c_M_tot_re_tmp = M_tot[1][i2].re;
d_M_tot_re_tmp = M_tot[1][i2].im;
M_res[0][i2].re = (M_tot_re_tmp * sigmasqrd_tmp - b_M_tot_re_tmp *
im) + (c_M_tot_re_tmp * brm - d_M_tot_re_tmp *
nom_n_re);
M_res[0][i2].im = (M_tot_re_tmp * im + b_M_tot_re_tmp *
sigmasqrd_tmp) + (c_M_tot_re_tmp * nom_n_re +
d_M_tot_re_tmp * brm);
M_res[1][i2].re = (M_tot_re_tmp * d - b_M_tot_re_tmp * d1) +
(c_M_tot_re_tmp * M_n_tmp.re - d_M_tot_re_tmp * M_n_tmp.im);
M_res[1][i2].im = (M_tot_re_tmp * d1 + b_M_tot_re_tmp * d) +
(c_M_tot_re_tmp * M_n_tmp.im + d_M_tot_re_tmp * M_n_tmp.re);
}
// Reassign the values back to M_tot:
M_tot[0][0] = M_res[0][0];
M_tot[0][1] = M_res[0][1];
M_tot[1][0] = M_res[1][0];
M_tot[1][1] = M_res[1][1];
// Point to k_n+1 and sld_n+1 via kn_ptr sld_n_ptr:
kn_ptr = knp1;
}
}
if (M_res[0][0].im == 0.0) {
if (M_res[0][1].im == 0.0) {
M_n_tmp.re = M_res[0][1].re / M_res[0][0].re;
M_n_tmp.im = 0.0;
} else if (M_res[0][1].re == 0.0) {
M_n_tmp.re = 0.0;
M_n_tmp.im = M_res[0][1].im / M_res[0][0].re;
} else {
M_n_tmp.re = M_res[0][1].re / M_res[0][0].re;
M_n_tmp.im = M_res[0][1].im / M_res[0][0].re;
}
} else if (M_res[0][0].re == 0.0) {
if (M_res[0][1].re == 0.0) {
M_n_tmp.re = M_res[0][1].im / M_res[0][0].im;
M_n_tmp.im = 0.0;
} else if (M_res[0][1].im == 0.0) {
M_n_tmp.re = 0.0;
M_n_tmp.im = -(M_res[0][1].re / M_res[0][0].im);
} else {
M_n_tmp.re = M_res[0][1].im / M_res[0][0].im;
M_n_tmp.im = -(M_res[0][1].re / M_res[0][0].im);
}
} else {
brm = std::abs(M_res[0][0].re);
sigmasqrd_tmp = std::abs(M_res[0][0].im);
if (brm > sigmasqrd_tmp) {
sigmasqrd_tmp = M_res[0][0].im / M_res[0][0].re;
im = M_res[0][0].re + sigmasqrd_tmp * M_res[0][0].im;
M_n_tmp.re = (M_res[0][1].re + sigmasqrd_tmp * M_res[0][1].im) / im;
M_n_tmp.im = (M_res[0][1].im - sigmasqrd_tmp * M_res[0][1].re) / im;
} else if (sigmasqrd_tmp == brm) {
if (M_res[0][0].re > 0.0) {
sigmasqrd_tmp = 0.5;
} else {
sigmasqrd_tmp = -0.5;
}
if (M_res[0][0].im > 0.0) {
im = 0.5;
} else {
im = -0.5;
}
M_n_tmp.re = (M_res[0][1].re * sigmasqrd_tmp + M_res[0][1].im * im) /
brm;
M_n_tmp.im = (M_res[0][1].im * sigmasqrd_tmp - M_res[0][1].re * im) /
brm;
} else {
sigmasqrd_tmp = M_res[0][0].re / M_res[0][0].im;
im = M_res[0][0].im + sigmasqrd_tmp * M_res[0][0].re;
M_n_tmp.re = (sigmasqrd_tmp * M_res[0][1].re + M_res[0][1].im) / im;
M_n_tmp.im = (sigmasqrd_tmp * M_res[0][1].im - M_res[0][1].re) / im;
}
}
R = rt_hypotd_snf(M_n_tmp.re, M_n_tmp.im);
ref[points] = R * R;
}
}
}
// End of code generation (abelesParallelPoints.cpp)
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