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lensing.c
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/** @file lensing.c Documented lensing module
*
* Simon Prunet and Julien Lesgourgues, 6.12.2010
*
* This module computes the lensed temperature and polarization
* anisotropy power spectra \f$ C_l^{X}, P(k), ... \f$'s given the
* unlensed temperature, polarization and lensing potential spectra.
*
* Follows Challinor and Lewis full-sky method, astro-ph/0502425
*
* The following functions can be called from other modules:
*
* -# lensing_init() at the beginning (but after spectra_init())
* -# lensing_cl_at_l() at any time for computing Cl_lensed at any l
* -# lensing_free() at the end
*/
#include "lensing.h"
#include <time.h>
/**
* Anisotropy power spectra \f$ C_l\f$'s for all types, modes and initial conditions.
* SO FAR: ONLY SCALAR
*
* This routine evaluates all the lensed \f$ C_l\f$'s at a given value of l by
* picking it in the pre-computed table. When relevant, it also
* sums over all initial conditions for each mode, and over all modes.
*
* This function can be called from whatever module at whatever time,
* provided that lensing_init() has been called before, and
* lensing_free() has not been called yet.
*
* @param ple Input: pointer to lensing structure
* @param l Input: multipole number
* @param cl_lensed Output: lensed \f$ C_l\f$'s for all types (TT, TE, EE, etc..)
* @return the error status
*/
int lensing_cl_at_l(
struct lensing * ple,
int l,
double * cl_lensed /* array with argument cl_lensed[index_ct] (must be already allocated) */
) {
int last_index;
int index_lt;
class_test(l > ple->l_lensed_max,
ple->error_message,
"you asked for lensed Cls at l=%d, they were computed only up to l=%d, you should increase l_max_scalars or decrease the precision parameter delta_l_max",l,ple->l_lensed_max);
class_call(array_interpolate_spline(ple->l,
ple->l_size,
ple->cl_lens,
ple->ddcl_lens,
ple->lt_size,
l,
&last_index,
cl_lensed,
ple->lt_size,
ple->error_message),
ple->error_message,
ple->error_message);
/* set to zero for the types such that l<l_max */
for (index_lt=0; index_lt<ple->lt_size; index_lt++)
if ((int)l > ple->l_max_lt[index_lt])
cl_lensed[index_lt]=0.;
return _SUCCESS_;
}
/**
* This routine initializes the lensing structure (in particular,
* computes table of lensed anisotropy spectra \f$ C_l^{X} \f$)
*
* @param ppr Input: pointer to precision structure
* @param ppt Input: pointer to perturbation structure (just in case, not used in current version...)
* @param psp Input: pointer to spectra structure
* @param pnl Input: pointer to nonlinear structure
* @param ple Output: pointer to initialized lensing structure
* @return the error status
*/
int lensing_init(
struct precision * ppr,
struct perturbs * ppt,
struct spectra * psp,
struct nonlinear * pnl,
struct lensing * ple
) {
/** Summary: */
/** - Define local variables */
double * mu; /* mu[index_mu]: discretized values of mu
between -1 and 1, roots of Legendre polynomial */
double * w8; /* Corresponding Gauss-Legendre quadrature weights */
double theta,delta_theta;
double ** d00; /* dmn[index_mu][index_l] */
double ** d11;
double ** d2m2;
double ** d22 = NULL;
double ** d20 = NULL;
double ** d1m1;
double ** d31 = NULL;
double ** d40 = NULL;
double ** d3m1 = NULL;
double ** d3m3 = NULL;
double ** d4m2 = NULL;
double ** d4m4 = NULL;
double * buf_dxx; /* buffer */
double * Cgl; /* Cgl[index_mu] */
double * Cgl2; /* Cgl2[index_mu] */
double * sigma2; /* sigma[index_mu] */
double * ksi = NULL; /* ksi[index_mu] */
double * ksiX = NULL; /* ksiX[index_mu] */
double * ksip = NULL; /* ksip[index_mu] */
double * ksim = NULL; /* ksim[index_mu] */
double fac,fac1;
double X_000;
double X_p000;
double X_220;
double X_022;
double X_p022;
double X_121;
double X_132;
double X_242;
int num_mu,index_mu,icount;
int l;
double ll;
double * cl_unlensed; /* cl_unlensed[index_ct] */
double * cl_tt; /* unlensed cl, to be filled to avoid repeated calls to spectra_cl_at_l */
double * cl_te = NULL; /* unlensed cl, to be filled to avoid repeated calls to spectra_cl_at_l */
double * cl_ee = NULL; /* unlensed cl, to be filled to avoid repeated calls to spectra_cl_at_l */
double * cl_bb = NULL; /* unlensed cl, to be filled to avoid repeated calls to spectra_cl_at_l */
double * cl_pp; /* potential cl, to be filled to avoid repeated calls to spectra_cl_at_l */
double res,resX,lens;
double resp, resm, lensp, lensm;
double * sqrt1;
double * sqrt2;
double * sqrt3;
double * sqrt4;
double * sqrt5;
double ** cl_md_ic; /* array with argument
cl_md_ic[index_md][index_ic1_ic2*psp->ct_size+index_ct] */
double ** cl_md; /* array with argument
cl_md[index_md][index_ct] */
int index_md;
/* Timing */
//double debut, fin;
//double cpu_time;
/** - check that we really want to compute at least one spectrum */
if (ple->has_lensed_cls == _FALSE_) {
if (ple->lensing_verbose > 0)
printf("No lensing requested. Lensing module skipped.\n");
return _SUCCESS_;
}
else {
if (ple->lensing_verbose > 0) {
printf("Computing lensed spectra ");
if (ppr->accurate_lensing==_TRUE_)
printf("(accurate mode)\n");
else
printf("(fast mode)\n");
}
}
/** - initialize indices and allocate some of the arrays in the
lensing structure */
class_call(lensing_indices(ppr,psp,ple),
ple->error_message,
ple->error_message);
/** - put all precision variables hare; will be stored later in precision structure */
/** - Last element in \f$ \mu \f$ will be for \f$ \mu=1 \f$, needed for sigma2.
The rest will be chosen as roots of a Gauss-Legendre quadrature **/
if (ppr->accurate_lensing == _TRUE_) {
num_mu=(ple->l_unlensed_max+ppr->num_mu_minus_lmax); /* Must be even ?? CHECK */
num_mu += num_mu%2; /* Force it to be even */
} else {
/* Integrate correlation function difference on [0,pi/16] */
num_mu = (ple->l_unlensed_max * 2 )/16;
}
/** - allocate array of \f$ \mu \f$ values, as well as quadrature weights */
class_alloc(mu,
num_mu*sizeof(double),
ple->error_message);
/* Reserve last element of mu for mu=1, needed for sigma2 */
mu[num_mu-1] = 1.0;
class_alloc(w8,
(num_mu-1)*sizeof(double),
ple->error_message);
if (ppr->accurate_lensing == _TRUE_) {
//debut = omp_get_wtime();
class_call(quadrature_gauss_legendre(mu,
w8,
num_mu-1,
ppr->tol_gauss_legendre,
ple->error_message),
ple->error_message,
ple->error_message);
//fin = omp_get_wtime();
//cpu_time = (fin-debut);
//printf("time in quadrature_gauss_legendre=%4.3f s\n",cpu_time);
} else { /* Crude integration on [0,pi/16]: Riemann sum on theta */
delta_theta = _PI_/16. / (double)(num_mu-1);
for (index_mu=0;index_mu<num_mu-1;index_mu++) {
theta = (index_mu+1)*delta_theta;
mu[index_mu] = cos(theta);
w8[index_mu] = sin(theta)*delta_theta; /* We integrate on mu */
}
}
/** - Compute \f$ d^l_{mm'} (\mu) \f$*/
icount = 0;
class_alloc(d00,
num_mu*sizeof(double*),
ple->error_message);
class_alloc(d11,
num_mu*sizeof(double*),
ple->error_message);
class_alloc(d1m1,
num_mu*sizeof(double*),
ple->error_message);
class_alloc(d2m2,
num_mu*sizeof(double*),
ple->error_message);
icount += 4*num_mu*(ple->l_unlensed_max+1);
if(ple->has_te==_TRUE_) {
class_alloc(d20,
num_mu*sizeof(double*),
ple->error_message);
class_alloc(d3m1,
num_mu*sizeof(double*),
ple->error_message);
class_alloc(d4m2,
num_mu*sizeof(double*),
ple->error_message);
icount += 3*num_mu*(ple->l_unlensed_max+1);
}
if (ple->has_ee==_TRUE_ || ple->has_bb==_TRUE_) {
class_alloc(d22,
num_mu*sizeof(double*),
ple->error_message);
class_alloc(d31,
num_mu*sizeof(double*),
ple->error_message);
class_alloc(d3m3,
num_mu*sizeof(double*),
ple->error_message);
class_alloc(d40,
num_mu*sizeof(double*),
ple->error_message);
class_alloc(d4m4,
num_mu*sizeof(double*),
ple->error_message);
icount += 5*num_mu*(ple->l_unlensed_max+1);
}
icount += 5*(ple->l_unlensed_max+1); /* for arrays sqrt1[l] to sqrt5[l] */
/** - Allocate main contiguous buffer **/
class_alloc(buf_dxx,
icount * sizeof(double),
ple->error_message);
icount = 0;
for (index_mu=0; index_mu<num_mu; index_mu++) {
d00[index_mu] = &(buf_dxx[icount+index_mu * (ple->l_unlensed_max+1)]);
d11[index_mu] = &(buf_dxx[icount+(index_mu+num_mu) * (ple->l_unlensed_max+1)]);
d1m1[index_mu]= &(buf_dxx[icount+(index_mu+2*num_mu) * (ple->l_unlensed_max+1)]);
d2m2[index_mu]= &(buf_dxx[icount+(index_mu+3*num_mu) * (ple->l_unlensed_max+1)]);
}
icount += 4*num_mu*(ple->l_unlensed_max+1);
if (ple->has_te==_TRUE_) {
for (index_mu=0; index_mu<num_mu; index_mu++) {
d20[index_mu] = &(buf_dxx[icount+index_mu * (ple->l_unlensed_max+1)]);
d3m1[index_mu]= &(buf_dxx[icount+(index_mu+num_mu) * (ple->l_unlensed_max+1)]);
d4m2[index_mu]= &(buf_dxx[icount+(index_mu+2*num_mu) * (ple->l_unlensed_max+1)]);
}
icount += 3*num_mu*(ple->l_unlensed_max+1);
}
if (ple->has_ee==_TRUE_ || ple->has_bb==_TRUE_) {
for (index_mu=0; index_mu<num_mu; index_mu++) {
d22[index_mu] = &(buf_dxx[icount+index_mu * (ple->l_unlensed_max+1)]);
d31[index_mu] = &(buf_dxx[icount+(index_mu+num_mu) * (ple->l_unlensed_max+1)]);
d3m3[index_mu]= &(buf_dxx[icount+(index_mu+2*num_mu) * (ple->l_unlensed_max+1)]);
d40[index_mu] = &(buf_dxx[icount+(index_mu+3*num_mu) * (ple->l_unlensed_max+1)]);
d4m4[index_mu]= &(buf_dxx[icount+(index_mu+4*num_mu) * (ple->l_unlensed_max+1)]);
}
icount += 5*num_mu*(ple->l_unlensed_max+1);
}
sqrt1 = &(buf_dxx[icount]);
icount += ple->l_unlensed_max+1;
sqrt2 = &(buf_dxx[icount]);
icount += ple->l_unlensed_max+1;
sqrt3 = &(buf_dxx[icount]);
icount += ple->l_unlensed_max+1;
sqrt4 = &(buf_dxx[icount]);
icount += ple->l_unlensed_max+1;
sqrt5 = &(buf_dxx[icount]);
icount += ple->l_unlensed_max+1;
//debut = omp_get_wtime();
class_call(lensing_d00(mu,num_mu,ple->l_unlensed_max,d00),
ple->error_message,
ple->error_message);
class_call(lensing_d11(mu,num_mu,ple->l_unlensed_max,d11),
ple->error_message,
ple->error_message);
class_call(lensing_d1m1(mu,num_mu,ple->l_unlensed_max,d1m1),
ple->error_message,
ple->error_message);
class_call(lensing_d2m2(mu,num_mu,ple->l_unlensed_max,d2m2),
ple->error_message,
ple->error_message);
//fin = omp_get_wtime();
//cpu_time = (fin-debut);
//printf("time in lensing_dxx=%4.3f s\n",cpu_time);
if (ple->has_te==_TRUE_) {
class_call(lensing_d20(mu,num_mu,ple->l_unlensed_max,d20),
ple->error_message,
ple->error_message);
class_call(lensing_d3m1(mu,num_mu,ple->l_unlensed_max,d3m1),
ple->error_message,
ple->error_message);
class_call(lensing_d4m2(mu,num_mu,ple->l_unlensed_max,d4m2),
ple->error_message,
ple->error_message);
}
if (ple->has_ee==_TRUE_ || ple->has_bb==_TRUE_) {
class_call(lensing_d22(mu,num_mu,ple->l_unlensed_max,d22),
ple->error_message,
ple->error_message);
class_call(lensing_d31(mu,num_mu,ple->l_unlensed_max,d31),
ple->error_message,
ple->error_message);
class_call(lensing_d3m3(mu,num_mu,ple->l_unlensed_max,d3m3),
ple->error_message,
ple->error_message);
class_call(lensing_d40(mu,num_mu,ple->l_unlensed_max,d40),
ple->error_message,
ple->error_message);
class_call(lensing_d4m4(mu,num_mu,ple->l_unlensed_max,d4m4),
ple->error_message,
ple->error_message);
}
/** - compute \f$ Cgl(\mu)\f$, \f$ Cgl2(\mu) \f$ and sigma2(\f$\mu\f$) */
class_alloc(Cgl,
num_mu*sizeof(double),
ple->error_message);
class_alloc(Cgl2,
num_mu*sizeof(double),
ple->error_message);
class_alloc(sigma2,
(num_mu-1)*sizeof(double), /* Zero separation is omitted */
ple->error_message);
class_alloc(cl_unlensed,
psp->ct_size*sizeof(double),
ple->error_message);
/** - Locally store unlensed temperature \f$ cl_{tt}\f$ and potential \f$ cl_{pp}\f$ spectra **/
class_alloc(cl_tt,
(ple->l_unlensed_max+1)*sizeof(double),
ple->error_message);
if (ple->has_te==_TRUE_) {
class_alloc(cl_te,
(ple->l_unlensed_max+1)*sizeof(double),
ple->error_message);
}
if (ple->has_ee==_TRUE_ || ple->has_bb==_TRUE_) {
class_alloc(cl_ee,
(ple->l_unlensed_max+1)*sizeof(double),
ple->error_message);
class_alloc(cl_bb,
(ple->l_unlensed_max+1)*sizeof(double),
ple->error_message);
}
class_alloc(cl_pp,
(ple->l_unlensed_max+1)*sizeof(double),
ple->error_message);
class_alloc(cl_md_ic,
psp->md_size*sizeof(double *),
ple->error_message);
class_alloc(cl_md,
psp->md_size*sizeof(double *),
ple->error_message);
for (index_md = 0; index_md < psp->md_size; index_md++) {
if (psp->md_size > 1)
class_alloc(cl_md[index_md],
psp->ct_size*sizeof(double),
ple->error_message);
if (psp->ic_size[index_md] > 1)
class_alloc(cl_md_ic[index_md],
psp->ic_ic_size[index_md]*psp->ct_size*sizeof(double),
ple->error_message);
}
for (l=2; l<=ple->l_unlensed_max; l++) {
class_call(spectra_cl_at_l(psp,l,cl_unlensed,cl_md,cl_md_ic),
psp->error_message,
ple->error_message);
cl_tt[l] = cl_unlensed[ple->index_lt_tt];
cl_pp[l] = cl_unlensed[ple->index_lt_pp];
if (ple->has_te==_TRUE_) {
cl_te[l] = cl_unlensed[ple->index_lt_te];
}
if (ple->has_ee==_TRUE_ || ple->has_bb==_TRUE_) {
cl_ee[l] = cl_unlensed[ple->index_lt_ee];
cl_bb[l] = cl_unlensed[ple->index_lt_bb];
}
}
for (index_md = 0; index_md < psp->md_size; index_md++) {
if (psp->md_size > 1)
free(cl_md[index_md]);
if (psp->ic_size[index_md] > 1)
free(cl_md_ic[index_md]);
}
free(cl_md_ic);
free(cl_md);
/** - Compute sigma2\f$(\mu)\f$ and Cgl2(\f$\mu\f$) **/
//debut = omp_get_wtime();
#pragma omp parallel for \
private (index_mu,l) \
schedule (static)
for (index_mu=0; index_mu<num_mu; index_mu++) {
Cgl[index_mu]=0;
Cgl2[index_mu]=0;
for (l=2; l<=ple->l_unlensed_max; l++) {
Cgl[index_mu] += (2.*l+1.)*l*(l+1.)*
cl_pp[l]*d11[index_mu][l];
Cgl2[index_mu] += (2.*l+1.)*l*(l+1.)*
cl_pp[l]*d1m1[index_mu][l];
}
Cgl[index_mu] /= 4.*_PI_;
Cgl2[index_mu] /= 4.*_PI_;
}
for (index_mu=0; index_mu<num_mu-1; index_mu++) {
/* Cgl(1.0) - Cgl(mu) */
sigma2[index_mu] = Cgl[num_mu-1] - Cgl[index_mu];
}
//fin = omp_get_wtime();
//cpu_time = (fin-debut);
//printf("time in Cgl,Cgl2,sigma2=%4.3f s\n",cpu_time);
/** - compute ksi, ksi+, ksi-, ksiX */
/** - --> ksi is for TT **/
if (ple->has_tt==_TRUE_) {
class_calloc(ksi,
(num_mu-1),
sizeof(double),
ple->error_message);
}
/** - --> ksiX is for TE **/
if (ple->has_te==_TRUE_) {
class_calloc(ksiX,
(num_mu-1),
sizeof(double),
ple->error_message);
}
/** - --> ksip, ksim for EE, BB **/
if (ple->has_ee==_TRUE_ || ple->has_bb==_TRUE_) {
class_calloc(ksip,
(num_mu-1),
sizeof(double),
ple->error_message);
class_calloc(ksim,
(num_mu-1),
sizeof(double),
ple->error_message);
}
for (l=2;l<=ple->l_unlensed_max;l++) {
ll = (double)l;
sqrt1[l]=sqrt((ll+2)*(ll+1)*ll*(ll-1));
sqrt2[l]=sqrt((ll+2)*(ll-1));
sqrt3[l]=sqrt((ll+3)*(ll-2));
sqrt4[l]=sqrt((ll+4)*(ll+3)*(ll-2.)*(ll-3));
sqrt5[l]=sqrt(ll*(ll+1));
}
//debut = omp_get_wtime();
#pragma omp parallel for \
private (index_mu,l,ll,res,resX,resp,resm,lens,lensp,lensm, \
fac,fac1,X_000,X_p000,X_220,X_022,X_p022,X_121,X_132,X_242) \
schedule (static)
for (index_mu=0;index_mu<num_mu-1;index_mu++) {
for (l=2;l<=ple->l_unlensed_max;l++) {
ll = (double)l;
fac = ll*(ll+1)/4.;
fac1 = (2*ll+1)/(4.*_PI_);
/* In the following we will keep terms of the form (sigma2)^k*(Cgl2)^m
with k+m <= 2 */
X_000 = exp(-fac*sigma2[index_mu]);
X_p000 = -fac*X_000;
/* X_220 = 0.25*sqrt1[l] * exp(-(fac-0.5)*sigma2[index_mu]); */
X_220 = 0.25*sqrt1[l] * X_000; /* Order 0 */
/* next 5 lines useless, but avoid compiler warning 'may be used uninitialized' */
X_242=0.;
X_132=0.;
X_121=0.;
X_p022=0.;
X_022=0.;
if (ple->has_te==_TRUE_ || ple->has_ee==_TRUE_ || ple->has_bb==_TRUE_) {
/* X_022 = exp(-(fac-1.)*sigma2[index_mu]); */
X_022 = X_000 * (1+sigma2[index_mu]*(1+0.5*sigma2[index_mu])); /* Order 2 */
X_p022 = -(fac-1.)*X_022; /* Old versions were missing the
minus # this line, which introduced a very small error
on the high-l C_l^TE lensed spectrum [credits for bug fix:
Selim Hotinli] */
/* X_242 = 0.25*sqrt4[l] * exp(-(fac-5./2.)*sigma2[index_mu]); */
X_242 = 0.25*sqrt4[l] * X_000; /* Order 0 */
if (ple->has_ee==_TRUE_ || ple->has_bb==_TRUE_) {
/* X_121 = - 0.5*sqrt2[l] * exp(-(fac-2./3.)*sigma2[index_mu]);
X_132 = - 0.5*sqrt3[l] * exp(-(fac-5./3.)*sigma2[index_mu]); */
X_121 = -0.5*sqrt2[l] * X_000 * (1+2./3.*sigma2[index_mu]); /* Order 1 */
X_132 = -0.5*sqrt3[l] * X_000 * (1+5./3.*sigma2[index_mu]); /* Order 1 */
}
}
if (ple->has_tt==_TRUE_) {
res = fac1*cl_tt[l];
lens = (X_000*X_000*d00[index_mu][l] +
X_p000*X_p000*d1m1[index_mu][l]
*Cgl2[index_mu]*8./(ll*(ll+1)) +
(X_p000*X_p000*d00[index_mu][l] +
X_220*X_220*d2m2[index_mu][l])
*Cgl2[index_mu]*Cgl2[index_mu]);
if (ppr->accurate_lensing == _FALSE_) {
/* Remove unlensed correlation function */
lens -= d00[index_mu][l];
}
res *= lens;
ksi[index_mu] += res;
}
if (ple->has_te==_TRUE_) {
resX = fac1*cl_te[l];
lens = ( X_022*X_000*d20[index_mu][l] +
Cgl2[index_mu]*2.*X_p000/sqrt5[l] *
(X_121*d11[index_mu][l] + X_132*d3m1[index_mu][l]) +
0.5 * Cgl2[index_mu] * Cgl2[index_mu] *
( ( 2.*X_p022*X_p000+X_220*X_220 ) *
d20[index_mu][l] + X_220*X_242*d4m2[index_mu][l] ) );
if (ppr->accurate_lensing == _FALSE_) {
lens -= d20[index_mu][l];
}
resX *= lens;
ksiX[index_mu] += resX;
}
if (ple->has_ee==_TRUE_ || ple->has_bb==_TRUE_) {
resp = fac1*(cl_ee[l]+cl_bb[l]);
resm = fac1*(cl_ee[l]-cl_bb[l]);
lensp = ( X_022*X_022*d22[index_mu][l] +
2.*Cgl2[index_mu]*X_132*X_121*d31[index_mu][l] +
Cgl2[index_mu]*Cgl2[index_mu] *
( X_p022*X_p022*d22[index_mu][l] +
X_242*X_220*d40[index_mu][l] ) );
lensm = ( X_022*X_022*d2m2[index_mu][l] +
Cgl2[index_mu] *
( X_121*X_121*d1m1[index_mu][l] +
X_132*X_132*d3m3[index_mu][l] ) +
0.5 * Cgl2[index_mu] * Cgl2[index_mu] *
( 2.*X_p022*X_p022*d2m2[index_mu][l] +
X_220*X_220*d00[index_mu][l] +
X_242*X_242*d4m4[index_mu][l] ) );
if (ppr->accurate_lensing == _FALSE_) {
lensp -= d22[index_mu][l];
lensm -= d2m2[index_mu][l];
}
resp *= lensp;
resm *= lensm;
ksip[index_mu] += resp;
ksim[index_mu] += resm;
}
}
}
//fin = omp_get_wtime();
//cpu_time = (fin-debut);
//printf("time in ksi=%4.3f s\n",cpu_time);
/** - compute lensed \f$ C_l\f$'s by integration */
//debut = omp_get_wtime();
if (ple->has_tt==_TRUE_) {
class_call(lensing_lensed_cl_tt(ksi,d00,w8,num_mu-1,ple),
ple->error_message,
ple->error_message);
if (ppr->accurate_lensing == _FALSE_) {
class_call(lensing_addback_cl_tt(ple,cl_tt),
ple->error_message,
ple->error_message);
}
}
if (ple->has_te==_TRUE_) {
class_call(lensing_lensed_cl_te(ksiX,d20,w8,num_mu-1,ple),
ple->error_message,
ple->error_message);
if (ppr->accurate_lensing == _FALSE_) {
class_call(lensing_addback_cl_te(ple,cl_te),
ple->error_message,
ple->error_message);
}
}
if (ple->has_ee==_TRUE_ || ple->has_bb==_TRUE_) {
class_call(lensing_lensed_cl_ee_bb(ksip,ksim,d22,d2m2,w8,num_mu-1,ple),
ple->error_message,
ple->error_message);
if (ppr->accurate_lensing == _FALSE_) {
class_call(lensing_addback_cl_ee_bb(ple,cl_ee,cl_bb),
ple->error_message,
ple->error_message);
}
}
//fin=omp_get_wtime();
//cpu_time = (fin-debut);
//printf("time in final lensing computation=%4.3f s\n",cpu_time);
/** - spline computed \f$ C_l\f$'s in view of interpolation */
class_call(array_spline_table_lines(ple->l,
ple->l_size,
ple->cl_lens,
ple->lt_size,
ple->ddcl_lens,
_SPLINE_EST_DERIV_,
ple->error_message),
ple->error_message,
ple->error_message);
/** - Free lots of stuff **/
free(buf_dxx);
free(d00);
free(d11);
free(d1m1);
free(d2m2);
if (ple->has_te==_TRUE_) {
free(d20);
free(d3m1);
free(d4m2);
}
if (ple->has_ee==_TRUE_ || ple->has_bb==_TRUE_) {
free(d22);
free(d31);
free(d3m3);
free(d40);
free(d4m4);
}
if (ple->has_tt==_TRUE_)
free(ksi);
if (ple->has_te==_TRUE_)
free(ksiX);
if (ple->has_ee==_TRUE_ || ple->has_bb==_TRUE_) {
free(ksip);
free(ksim);
}
free(Cgl);
free(Cgl2);
free(sigma2);
free(mu);
free(w8);
free(cl_unlensed);
free(cl_tt);
if (ple->has_te==_TRUE_)
free(cl_te);
if (ple->has_ee==_TRUE_ || ple->has_bb==_TRUE_) {
free(cl_ee);
free(cl_bb);
}
free(cl_pp);
/** - Exit **/
return _SUCCESS_;
}
/**
* This routine frees all the memory space allocated by lensing_init().
*
* To be called at the end of each run, only when no further calls to
* lensing_cl_at_l() are needed.
*
* @param ple Input: pointer to lensing structure (which fields must be freed)
* @return the error status
*/
int lensing_free(
struct lensing * ple
) {
if (ple->has_lensed_cls == _TRUE_) {
free(ple->l);
free(ple->cl_lens);
free(ple->ddcl_lens);
free(ple->l_max_lt);
}
return _SUCCESS_;
}
/**
* This routine defines indices and allocates tables in the lensing structure
*
* @param ppr Input: pointer to precision structure
* @param psp Input: pointer to spectra structure
* @param ple Input/output: pointer to lensing structure
* @return the error status
*/
int lensing_indices(
struct precision * ppr,
struct spectra * psp,
struct lensing * ple
){
int index_l;
double ** cl_md_ic; /* array with argument
cl_md_ic[index_md][index_ic1_ic2*psp->ct_size+index_ct] */
double ** cl_md; /* array with argument
cl_md[index_md][index_ct] */
int index_md;
int index_lt;
/* indices of all Cl types (lensed and unlensed) */
if (psp->has_tt == _TRUE_) {
ple->has_tt = _TRUE_;
ple->index_lt_tt=psp->index_ct_tt;
}
else {
ple->has_tt = _FALSE_;
}
if (psp->has_ee == _TRUE_) {
ple->has_ee = _TRUE_;
ple->index_lt_ee=psp->index_ct_ee;
}
else {
ple->has_ee = _FALSE_;
}
if (psp->has_te == _TRUE_) {
ple->has_te = _TRUE_;
ple->index_lt_te=psp->index_ct_te;
}
else {
ple->has_te = _FALSE_;
}
if (psp->has_bb == _TRUE_) {
ple->has_bb = _TRUE_;
ple->index_lt_bb=psp->index_ct_bb;
}
else {
ple->has_bb = _FALSE_;
}
if (psp->has_pp == _TRUE_) {
ple->has_pp = _TRUE_;
ple->index_lt_pp=psp->index_ct_pp;
}
else {
ple->has_pp = _FALSE_;
}
if (psp->has_tp == _TRUE_) {
ple->has_tp = _TRUE_;
ple->index_lt_tp=psp->index_ct_tp;
}
else {
ple->has_tp = _FALSE_;
}
if (psp->has_dd == _TRUE_) {
ple->has_dd = _TRUE_;
ple->index_lt_dd=psp->index_ct_dd;
}
else {
ple->has_dd = _FALSE_;
}
if (psp->has_td == _TRUE_) {
ple->has_td = _TRUE_;
ple->index_lt_td=psp->index_ct_td;
}
else {
ple->has_td = _FALSE_;
}
if (psp->has_ll == _TRUE_) {
ple->has_ll = _TRUE_;
ple->index_lt_ll=psp->index_ct_ll;
}
else {
ple->has_ll = _FALSE_;
}
if (psp->has_tl == _TRUE_) {
ple->has_tl = _TRUE_;
ple->index_lt_tl=psp->index_ct_tl;
}
else {
ple->has_tl = _FALSE_;
}
ple->lt_size = psp->ct_size;
/* number of multipoles */
ple->l_unlensed_max = psp->l_max_tot;
ple->l_lensed_max = ple->l_unlensed_max - ppr->delta_l_max;
for (index_l=0; (index_l < psp->l_size_max) && (psp->l[index_l] <= ple->l_lensed_max); index_l++);
if (index_l < psp->l_size_max) index_l++; /* one more point in order to be able to interpolate till ple->l_lensed_max */
ple->l_size = index_l+1;
class_alloc(ple->l,ple->l_size*sizeof(double),ple->error_message);
for (index_l=0; index_l < ple->l_size; index_l++) {
ple->l[index_l] = psp->l[index_l];
}
/* allocate table where results will be stored */
class_alloc(ple->cl_lens,
ple->l_size*ple->lt_size*sizeof(double),
ple->error_message);
class_alloc(ple->ddcl_lens,
ple->l_size*ple->lt_size*sizeof(double),
ple->error_message);
/* fill with unlensed cls */
class_alloc(cl_md_ic,
psp->md_size*sizeof(double *),
ple->error_message);
class_alloc(cl_md,
psp->md_size*sizeof(double *),
ple->error_message);
for (index_md = 0; index_md < psp->md_size; index_md++) {
if (psp->md_size > 1)
class_alloc(cl_md[index_md],
psp->ct_size*sizeof(double),
ple->error_message);
if (psp->ic_size[index_md] > 1)
class_alloc(cl_md_ic[index_md],
psp->ic_ic_size[index_md]*psp->ct_size*sizeof(double),
ple->error_message);
}
for (index_l=0; index_l<ple->l_size; index_l++) {
class_call(spectra_cl_at_l(psp,ple->l[index_l],&(ple->cl_lens[index_l*ple->lt_size]),cl_md,cl_md_ic),
psp->error_message,
ple->error_message);
}
for (index_md = 0; index_md < psp->md_size; index_md++) {
if (psp->md_size > 1)
free(cl_md[index_md]);