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/*
* Copyright 2017 Anton Khirnov <anton@khirnov.net>
*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
#include <errno.h>
#include <math.h>
#include "common.h"
#include "pssolve.h"
#include "td_constraints.h"
struct TDConstraintEvalPriv {
double *k_rtheta;
double *dk_rtheta[2];
};
typedef struct TDFamilyDef {
double (*eval_krt) (TDConstraintEvalContext *ctx, double r, double theta);
double (*eval_krt_dr)(TDConstraintEvalContext *ctx, double r, double theta);
double (*eval_krt_dt)(TDConstraintEvalContext *ctx, double r, double theta);
double a_converge;
double a_diverge;
} TDFamilyDef;
static double k_rtheta_eval_ae_time_antisym(TDConstraintEvalContext *ctx,
double r, double theta)
{
const double r2 = SQR(r);
const double r3 = r * r2;
return -60.0 * sqrt(2) * (3.0 * r - 2.0 * r3) * exp(-r2) * sin(2.0 * theta) * ctx->amplitude / sqrt(M_PI);
}
static double k_rtheta_eval_dr_ae_time_antisym(TDConstraintEvalContext *ctx,
double r, double theta)
{
const double r2 = SQR(r);
const double r4 = SQR(r2);
return -60.0 * sqrt(2) * (3.0 - 12.0 * r2 + 4.0 * r4) * exp(-r2) * sin(2.0 * theta) * ctx->amplitude / sqrt(M_PI);
}
static double k_rtheta_eval_dt_ae_time_antisym(TDConstraintEvalContext *ctx,
double r, double theta)
{
const double r2 = SQR(r);
const double r3 = r * r2;
return -120.0 * sqrt(2) * (3.0 * r - 2.0 * r3) * exp(-r2) * cos(2.0 * theta) * ctx->amplitude / sqrt(M_PI);
}
static const TDFamilyDef ae_time_antisym = {
.eval_krt = k_rtheta_eval_ae_time_antisym,
.eval_krt_dr = k_rtheta_eval_dr_ae_time_antisym,
.eval_krt_dt = k_rtheta_eval_dt_ae_time_antisym,
.a_converge = 0.0092078837420,
.a_diverge = 0.0092078837427,
};
#if 0
static const TDFamilyDef simple_time_antisym = {
.eval_krt = k_rtheta_eval_simple_time_antisym,
.eval_krt_dr = k_rtheta_eval_dr_simple_time_antisym,
.eval_krt_dt = k_rtheta_eval_dt_simple_time_antisym,
.a_converge = 1.018918628476058,
.a_diverge = 1.018918628476968,
};
#endif
static const TDFamilyDef *td_families[] = {
[TD_FAMILY_AE_TIME_ANTISYM] = &ae_time_antisym,
};
static void
constraint_eval_ham_confflat(TDConstraintEvalContext *ctx,
double *vars[TD_CONSTRAINT_VAR_NB][PSSOLVE_DIFF_ORDER_NB],
double *out)
{
TDConstraintEvalPriv *priv = ctx->priv;
for (int idx1 = 0; idx1 < ctx->nb_coords[1]; idx1++) {
const double theta = ctx->coords[1][idx1];
const double tt = tan(theta);
for (int idx0 = 0; idx0 < ctx->nb_coords[0]; idx0++) {
const double r = ctx->coords[0][idx0];
const int idx = idx1 * ctx->nb_coords[0] + idx0;
const double K_rt = priv->k_rtheta[idx];
const double K_rr = vars[TD_CONSTRAINT_VAR_CURV_RR][PSSOLVE_DIFF_ORDER_00][idx];
const double K_pp = vars[TD_CONSTRAINT_VAR_CURV_PHIPHI][PSSOLVE_DIFF_ORDER_00][idx];
const double psi = vars[TD_CONSTRAINT_VAR_CONFFAC][PSSOLVE_DIFF_ORDER_00][idx] + 1.0;
const double dpsi_r = vars[TD_CONSTRAINT_VAR_CONFFAC][PSSOLVE_DIFF_ORDER_10][idx];
const double dpsi_t = vars[TD_CONSTRAINT_VAR_CONFFAC][PSSOLVE_DIFF_ORDER_01][idx];
const double d2psi_rr = vars[TD_CONSTRAINT_VAR_CONFFAC][PSSOLVE_DIFF_ORDER_20][idx];
const double d2psi_tt = vars[TD_CONSTRAINT_VAR_CONFFAC][PSSOLVE_DIFF_ORDER_02][idx];
const double Km[3][3] = {{ K_rr, K_rt, 0 },
{ K_rt / SQR(r), -(K_rr + K_pp), 0 },
{ 0, 0, K_pp }};
const double r2 = SQR(r);
const double psi2 = SQR(psi);
const double psi4 = SQR(psi2);
const double Rscal = -8.0 * (d2psi_rr + 2.0 * dpsi_r / r + d2psi_tt / r2 + dpsi_t / (r2 * tt)) / (psi4 * psi);
double K2 = 0.0;
for (int i = 0; i < 3; i++)
for (int j = 0; j < 3; j++)
K2 += Km[i][j] * Km[j][i];
out[idx] = Rscal - K2;
}
}
}
static void
constraint_eval_mom_r_confflat(TDConstraintEvalContext *ctx,
double *vars[TD_CONSTRAINT_VAR_NB][PSSOLVE_DIFF_ORDER_NB],
double *out)
{
TDConstraintEvalPriv *priv = ctx->priv;
for (int idx1 = 0; idx1 < ctx->nb_coords[1]; idx1++) {
const double theta = ctx->coords[1][idx1];
const double tt = tan(theta);
for (int idx0 = 0; idx0 < ctx->nb_coords[0]; idx0++) {
const double r = ctx->coords[0][idx0];
const int idx = idx1 * ctx->nb_coords[0] + idx0;
const double K_rt = priv->k_rtheta[idx];
const double dK_rt_t = priv->dk_rtheta[1][idx];
const double K_rr = vars[TD_CONSTRAINT_VAR_CURV_RR][PSSOLVE_DIFF_ORDER_00][idx];
const double dK_rr_r = vars[TD_CONSTRAINT_VAR_CURV_RR][PSSOLVE_DIFF_ORDER_10][idx];
const double psi = vars[TD_CONSTRAINT_VAR_CONFFAC][PSSOLVE_DIFF_ORDER_00][idx] + 1.0;
const double dpsi_r = vars[TD_CONSTRAINT_VAR_CONFFAC][PSSOLVE_DIFF_ORDER_10][idx];
const double dpsi_t = vars[TD_CONSTRAINT_VAR_CONFFAC][PSSOLVE_DIFF_ORDER_01][idx];
const double r2 = SQR(r);
out[idx] = 6.0 * (K_rr * dpsi_r + K_rt * dpsi_t / r2) / psi +
dK_rr_r + 3.0 * K_rr / r + K_rt / (r2 * tt) + dK_rt_t / r2;
}
}
}
static void
constraint_eval_mom_t_confflat(TDConstraintEvalContext *ctx,
double *vars[TD_CONSTRAINT_VAR_NB][PSSOLVE_DIFF_ORDER_NB],
double *out)
{
TDConstraintEvalPriv *priv = ctx->priv;
for (int idx1 = 0; idx1 < ctx->nb_coords[1]; idx1++) {
const double theta = ctx->coords[1][idx1];
const double tt = tan(theta);
for (int idx0 = 0; idx0 < ctx->nb_coords[0]; idx0++) {
const double r = ctx->coords[0][idx0];
const int idx = idx1 * ctx->nb_coords[0] + idx0;
const double K_rt = priv->k_rtheta[idx];
const double dK_rt_r = priv->dk_rtheta[0][idx];
const double K_rr = vars[TD_CONSTRAINT_VAR_CURV_RR][PSSOLVE_DIFF_ORDER_00][idx];
const double dK_rr_t = vars[TD_CONSTRAINT_VAR_CURV_RR][PSSOLVE_DIFF_ORDER_01][idx];
const double K_pp = vars[TD_CONSTRAINT_VAR_CURV_PHIPHI][PSSOLVE_DIFF_ORDER_00][idx];
const double dK_pp_t = vars[TD_CONSTRAINT_VAR_CURV_PHIPHI][PSSOLVE_DIFF_ORDER_01][idx];
const double psi = vars[TD_CONSTRAINT_VAR_CONFFAC][PSSOLVE_DIFF_ORDER_00][idx] + 1.0;
const double dpsi_r = vars[TD_CONSTRAINT_VAR_CONFFAC][PSSOLVE_DIFF_ORDER_10][idx];
const double dpsi_t = vars[TD_CONSTRAINT_VAR_CONFFAC][PSSOLVE_DIFF_ORDER_01][idx];
out[idx] = -(K_rr + 2.0 * K_pp) / tt - 6.0 * (K_rr + K_pp) * dpsi_t / psi +
6.0 * K_rt * dpsi_r / psi - dK_pp_t - dK_rr_t + dK_rt_r + 2.0 * K_rt / r;
}
}
}
double tdi_constraint_eval_k_rtheta(TDConstraintEvalContext *ctx, double r, double theta)
{
const TDFamilyDef *fd = td_families[ctx->family];
return fd->eval_krt(ctx, r, theta);
}
int tdi_constraint_eval_init(TDConstraintEvalContext *ctx)
{
TDConstraintEvalPriv *priv = ctx->priv;
const TDFamilyDef *fd = td_families[ctx->family];
int ret;
ret = posix_memalign((void**)&priv->k_rtheta, 32,
sizeof(*priv->k_rtheta) * ctx->nb_coords[0] * ctx->nb_coords[1]);
if (ret)
return -ENOMEM;
for (int i = 0; i < ARRAY_ELEMS(priv->dk_rtheta); i++) {
ret = posix_memalign((void**)&priv->dk_rtheta[i], 32,
sizeof(*priv->dk_rtheta[i]) * ctx->nb_coords[0] * ctx->nb_coords[1]);
if (ret)
return -ENOMEM;
}
ctx->a_converge = fd->a_converge;
ctx->a_diverge = fd->a_diverge;
for (int idx1 = 0; idx1 < ctx->nb_coords[1]; idx1++) {
const double theta = ctx->coords[1][idx1];
for (int idx0 = 0; idx0 < ctx->nb_coords[0]; idx0++) {
const double r = ctx->coords[0][idx0];
const int idx = idx1 * ctx->nb_coords[0] + idx0;
priv->k_rtheta[idx] = fd->eval_krt (ctx, r, theta);
priv->dk_rtheta[0][idx] = fd->eval_krt_dr(ctx, r, theta);
priv->dk_rtheta[1][idx] = fd->eval_krt_dt(ctx, r, theta);
}
}
return 0;
}
int tdi_constraint_eval_alloc(TDConstraintEvalContext **pctx, enum TDFamily family)
{
TDConstraintEvalContext *ctx;
int ret;
if (family < 0 || family >= ARRAY_ELEMS(td_families))
return -EINVAL;
ctx = calloc(1, sizeof(*ctx));
if (!ctx)
return -ENOMEM;
ctx->priv = calloc(1, sizeof(*ctx->priv));
if (!ctx->priv) {
tdi_constraint_eval_free(&ctx);
return -ENOMEM;
}
ctx->family = family;
*pctx = ctx;
return 0;
}
void tdi_constraint_eval_free(TDConstraintEvalContext **pctx)
{
TDConstraintEvalContext *ctx = *pctx;
if (!ctx)
return;
if (ctx->priv) {
free(ctx->priv->k_rtheta);
free(ctx->priv->dk_rtheta[0]);
free(ctx->priv->dk_rtheta[1]);
}
free(ctx->priv);
free(ctx);
*pctx = NULL;
}
static const void
(*constraint_funcs[TD_CONSTRAINT_EQ_NB])(TDConstraintEvalContext *ctx,
double *vars[TD_CONSTRAINT_VAR_NB][PSSOLVE_DIFF_ORDER_NB],
double *out) = {
[TD_CONSTRAINT_EQ_HAM] = constraint_eval_ham_confflat,
[TD_CONSTRAINT_EQ_MOM_0] = constraint_eval_mom_r_confflat,
[TD_CONSTRAINT_EQ_MOM_1] = constraint_eval_mom_t_confflat,
};
int tdi_constraint_eval(TDConstraintEvalContext *ctx, enum TDConstraintEq eq,
const double *vars[TD_CONSTRAINT_VAR_NB][PSSOLVE_DIFF_ORDER_NB],
double *out)
{
constraint_funcs[eq](ctx, vars, out);
}
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