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borg_public/libLSS/physics/classic_cic.hpp

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2023-05-29 10:41:03 +02:00
/*+
ARES/HADES/BORG Package -- ./libLSS/physics/classic_cic.hpp
Copyright (C) 2009-2019 Jens Jasche <jens.jasche@fysik.su.se>
Copyright (C) 2014-2019 Guilhem Lavaux <guilhem.lavaux@iap.fr>
Copyright (C) 2019 Florent Leclercq <florent.leclercq@polytechnique.org>
Additional contributions from:
Guilhem Lavaux <guilhem.lavaux@iap.fr> (2023)
+*/
#ifndef __LIBLSS_PHYSICS_CLASSIC_CIC_HPP
# define __LIBLSS_PHYSICS_CLASSIC_CIC_HPP
# include <cmath>
# include "libLSS/tools/console.hpp"
# include <boost/multi_array.hpp>
# include "libLSS/physics/generic_cic.hpp"
# include "libLSS/tools/mpi_fftw_helper.hpp"
# include <memory>
namespace LibLSS {
template <typename T, bool ignore_overflow>
struct ClassicCloudInCell_impl {
typedef T Type;
// Number of extra planes required in case of MPI
static const int MPI_PLANE_LEAKAGE = 1;
static const bool EXTRA_CHECK = true;
typedef boost::multi_array<T, 3> DensityArray;
typedef boost::multi_array_ref<T, 1> ParticleBasedScalar;
typedef boost::multi_array_ref<T, 2> ParticleBasedArray;
template <typename A>
static inline void _safe_set(
A &&density, size_t const ix, size_t const iy, size_t const iz,
size_t const bounds[3][2], T const &value) {
if (ix >= bounds[0][0] && ix < bounds[0][1] && iy >= bounds[1][0] &&
iy < bounds[1][1] && iz >= bounds[2][0] && iz < bounds[2][1]) {
density[ix][iy][iz] += value;
} else {
}
} //_safe_set
template <
typename ParticleArray, typename ProjectionDensityArray,
typename WeightArray, typename PeriodicFunction>
static typename std::enable_if<WeightArray::dimensionality == 1>::type
projection(
const ParticleArray &particles, ProjectionDensityArray &density, T Lx,
T Ly, T Lz, int N0, int N1, int N2, const PeriodicFunction &p,
const WeightArray &weight, size_t Np) {
ConsoleContext<LOG_DEBUG> ctx("Classic CIC projection");
T inv_dx = N0 / Lx;
T inv_dy = N1 / Ly;
T inv_dz = N2 / Lz;
size_t minX = density.index_bases()[0];
size_t minY = density.index_bases()[1];
size_t minZ = density.index_bases()[2];
size_t maxX = density.index_bases()[0] + density.shape()[0];
size_t maxY = density.index_bases()[1] + density.shape()[1];
size_t maxZ = density.index_bases()[2] + density.shape()[2];
ctx.print(boost::format("minX=%d, maxX=%d, N0=%d") % minX % maxX % N0);
size_t const bounds[3][2] = {{minX, maxX}, {minY, maxY}, {minZ, maxZ}};
for (long i = 0; i < Np; i++) {
T x = particles[i][0] * inv_dx;
T y = particles[i][1] * inv_dy;
T z = particles[i][2] * inv_dz;
size_t ix = (size_t)std::floor(x);
size_t iy = (size_t)std::floor(y);
size_t iz = (size_t)std::floor(z);
size_t jx = ix + 1;
size_t jy = (iy + 1);
size_t jz = (iz + 1);
p(jx, jy, jz);
T rx = (x - ix);
T ry = (y - iy);
T rz = (z - iz);
T qx = 1 - rx;
T qy = 1 - ry;
T qz = 1 - rz;
double w = weight[i];
if (!ignore_overflow) {
if (jx >= maxX) {
Console::instance().print<LOG_ERROR>(
boost::format(
"Overflow at ix=%d, jx=%d (maxX=%d), x=%g, rx=%g, qx=%g") %
ix % jx % maxX % x % rx % qx);
}
if (ix < minX) {
Console::instance().print<LOG_ERROR>(
boost::format("Underflow at ix=%d, jx=%d") % ix % jx);
}
if (jy >= maxY) {
Console::instance().print<LOG_ERROR>(
boost::format("Overflow at iy=%d, jy=%d (maxY=%d)") % iy % jy %
maxY);
}
if (iy < minY) {
Console::instance().print<LOG_ERROR>(
boost::format("Underflow at iy=%d, jy=%d") % iy % jy);
}
density[ix][iy][iz] += (qx) * (qy) * (qz)*w;
density[ix][iy][jz] += (qx) * (qy) * (rz)*w;
density[ix][jy][iz] += (qx) * (ry) * (qz)*w;
density[ix][jy][jz] += (qx) * (ry) * (rz)*w;
density[jx][iy][iz] += (rx) * (qy) * (qz)*w;
density[jx][iy][jz] += (rx) * (qy) * (rz)*w;
density[jx][jy][iz] += (rx) * (ry) * (qz)*w;
density[jx][jy][jz] += (rx) * (ry) * (rz)*w;
} else {
_safe_set(density, ix, iy, iz, bounds, qx * qy * qz * w);
_safe_set(density, ix, iy, jz, bounds, qx * qy * rz * w);
_safe_set(density, ix, jy, iz, bounds, qx * ry * qz * w);
_safe_set(density, ix, jy, jz, bounds, qx * ry * rz * w);
_safe_set(density, jx, iy, iz, bounds, rx * qy * qz * w);
_safe_set(density, jx, iy, jz, bounds, rx * qy * rz * w);
_safe_set(density, jx, jy, iz, bounds, rx * ry * qz * w);
_safe_set(density, jx, jy, jz, bounds, rx * ry * rz * w);
}
}
} //projection
template <
typename ParticleArray, typename ProjectionDensityArray,
typename WeightArray, typename PeriodicFunction>
static typename std::enable_if<WeightArray::dimensionality != 1>::type
projection(
const ParticleArray &particles, ProjectionDensityArray &density, T Lx,
T Ly, T Lz, int N0, int N1, int N2, const PeriodicFunction &p,
const WeightArray &weight, size_t Np) {
ConsoleContext<LOG_DEBUG> ctx("Classic CIC projection");
T inv_dx = N0 / Lx;
T inv_dy = N1 / Ly;
T inv_dz = N2 / Lz;
size_t minX = density.index_bases()[1];
size_t minY = density.index_bases()[2];
size_t minZ = density.index_bases()[3];
size_t maxX = density.index_bases()[1] + density.shape()[1];
size_t maxY = density.index_bases()[2] + density.shape()[2];
size_t maxZ = density.index_bases()[3] + density.shape()[3];
ctx.print(boost::format("minX=%d, maxX=%d, N0=%d") % minX % maxX % N0);
unsigned int dims = weight.shape()[1];
size_t const bounds[3][2] = {{minX, maxX}, {minY, maxY}, {minZ, maxZ}};
for (size_t i = 0; i < Np; i++) {
T x = particles[i][0] * inv_dx;
T y = particles[i][1] * inv_dy;
T z = particles[i][2] * inv_dz;
size_t ix = (size_t)std::floor(x);
size_t iy = (size_t)std::floor(y);
size_t iz = (size_t)std::floor(z);
size_t jx = ix + 1;
size_t jy = (iy + 1);
size_t jz = (iz + 1);
p(jx, jy, jz);
T rx = (x - ix);
T ry = (y - iy);
T rz = (z - iz);
T qx = 1 - rx;
T qy = 1 - ry;
T qz = 1 - rz;
if (!ignore_overflow) {
if (jx >= maxX) {
Console::instance().print<LOG_ERROR>(
boost::format("Overflow at ix=%d, jx=%d (maxX=%d)") % ix % jx %
maxX);
}
if (ix < minX) {
Console::instance().print<LOG_ERROR>(
boost::format("Underflow at ix=%d, jx=%d") % ix % jx);
}
if (jy >= maxY) {
Console::instance().print<LOG_ERROR>(
boost::format("Overflow at iy=%d, jy=%d (maxY=%d)") % iy % jy %
maxY);
}
if (iy < minY) {
Console::instance().print<LOG_ERROR>(
boost::format("Underflow at iy=%d, jy=%d") % iy % jy);
}
for (unsigned int k = 0; k < dims; k++) {
T w = weight[i][k];
density[k][ix][iy][iz] += (qx) * (qy) * (qz)*w;
density[k][ix][iy][jz] += (qx) * (qy) * (rz)*w;
density[k][ix][jy][iz] += (qx) * (ry) * (qz)*w;
density[k][ix][jy][jz] += (qx) * (ry) * (rz)*w;
density[k][jx][iy][iz] += (rx) * (qy) * (qz)*w;
density[k][jx][iy][jz] += (rx) * (qy) * (rz)*w;
density[k][jx][jy][iz] += (rx) * (ry) * (qz)*w;
density[k][jx][jy][jz] += (rx) * (ry) * (rz)*w;
}
} else {
for (int k = 0; k < dims; k++) {
T w = weight[i][k];
_safe_set(density[k], ix, iy, iz, bounds, qx * qy * qz * w);
_safe_set(density[k], ix, iy, jz, bounds, qx * qy * rz * w);
_safe_set(density[k], ix, jy, iz, bounds, qx * ry * qz * w);
_safe_set(density[k], ix, jy, jz, bounds, qx * ry * rz * w);
_safe_set(density[k], jx, iy, iz, bounds, rx * qy * qz * w);
_safe_set(density[k], jx, iy, jz, bounds, rx * qy * rz * w);
_safe_set(density[k], jx, jy, iz, bounds, rx * ry * qz * w);
_safe_set(density[k], jx, jy, jz, bounds, rx * ry * rz * w);
}
}
}
} //projection
template <
typename ParticleBasedScalar, typename ProjectionDensityArray,
typename WeightArray>
static inline
typename std::enable_if<WeightArray::dimensionality == 1>::type
__do_interpolation(
ParticleBasedScalar &A, const ProjectionDensityArray &field,
const WeightArray &weight, size_t i, T qx, T qy, T qz, T rx, T ry,
T rz, size_t ix, size_t iy, size_t iz, size_t jx, size_t jy,
size_t jz) {
T f1 = 1. * qx * qy * qz;
T f2 = 1. * rx * qy * qz;
T f3 = 1. * qx * ry * qz;
T f4 = 1. * qx * qy * rz;
T f5 = 1. * rx * ry * qz;
T f6 = 1. * rx * qy * rz;
T f7 = 1. * qx * ry * rz;
T f8 = 1. * rx * ry * rz;
double w = weight[i];
A[i] = (field[ix][iy][iz] * f1 + field[jx][iy][iz] * f2 +
field[ix][jy][iz] * f3 + field[ix][iy][jz] * f4 +
field[jx][jy][iz] * f5 + field[jx][iy][jz] * f6 +
field[ix][jy][jz] * f7 + field[jx][jy][jz] * f8) /
w;
} //__do_interpolation
template <
typename ParticleBasedScalar, typename ParticleArray,
typename ProjectionDensityArray, typename WeightArray,
typename PeriodicFunction>
static typename std::enable_if<WeightArray::dimensionality == 1>::type
interpolation_scalar(
ParticleBasedScalar &A, const ParticleArray &particles,
const ProjectionDensityArray &field, T Lx, T Ly, T Lz, int N0, int N1,
int N2, const PeriodicFunction &p, const WeightArray &weight,
size_t Np) {
ConsoleContext<LOG_DEBUG> ctx("Classic CIC interpolation");
T inv_dx = N0 / Lx;
T inv_dy = N1 / Ly;
T inv_dz = N2 / Lz;
size_t minX = field.index_bases()[0];
size_t minY = field.index_bases()[1];
size_t minZ = field.index_bases()[2];
size_t maxX = field.index_bases()[0] + field.shape()[0];
size_t maxY = field.index_bases()[1] + field.shape()[1];
size_t maxZ = field.index_bases()[2] + field.shape()[2];
ctx.print(boost::format("minX=%d, maxX=%d, N0=%d") % minX % maxX % N0);
size_t const bounds[3][2] = {{minX, maxX}, {minY, maxY}, {minZ, maxZ}};
# pragma omp parallel for schedule(static)
for (long i = 0; i < Np; i++) {
T x = particles[i][0] * inv_dx;
T y = particles[i][1] * inv_dy;
T z = particles[i][2] * inv_dz;
size_t ix = (size_t)std::floor(x);
size_t iy = (size_t)std::floor(y);
size_t iz = (size_t)std::floor(z);
size_t jx = ix + 1;
size_t jy = (iy + 1);
size_t jz = (iz + 1);
p(jx, jy, jz);
T rx = (x - ix);
T ry = (y - iy);
T rz = (z - iz);
T qx = 1 - rx;
T qy = 1 - ry;
T qz = 1 - rz;
if (jx >= maxX) {
Console::instance().print<LOG_ERROR>(
boost::format("Overflow at ix=%d, jx=%d (maxX=%d)") % ix % jx %
maxX);
MPI_Communication::instance()->abort();
}
if (ix < minX) {
Console::instance().print<LOG_ERROR>(
boost::format("Underflow at ix=%d, jx=%d") % ix % jx);
MPI_Communication::instance()->abort();
}
if (jy >= maxY) {
Console::instance().print<LOG_ERROR>(
boost::format("Overflow at iy=%d, jy=%d (maxY=%d)") % iy % jy %
maxY);
MPI_Communication::instance()->abort();
}
if (iy < minY) {
Console::instance().print<LOG_ERROR>(
boost::format("Underflow at iy=%d, jy=%d") % iy % jy);
MPI_Communication::instance()->abort();
}
__do_interpolation(
A, field, weight, i, qx, qy, qz, rx, ry, rz, ix, iy, iz, jx, jy,
jz);
}
} //interpolation
template <
typename ParticleBasedArray, typename ProjectionDensityArray,
typename WeightArray>
static inline
typename std::enable_if<WeightArray::dimensionality != 1>::type
__do_interpolation_vec(
ParticleBasedArray &A, const ProjectionDensityArray &field,
const WeightArray &weight, size_t i, T qx, T qy, T qz, T rx, T ry,
T rz, size_t ix, size_t iy, size_t iz, size_t jx, size_t jy,
size_t jz) {
T f1 = 1. * qx * qy * qz;
T f2 = 1. * rx * qy * qz;
T f3 = 1. * qx * ry * qz;
T f4 = 1. * qx * qy * rz;
T f5 = 1. * rx * ry * qz;
T f6 = 1. * rx * qy * rz;
T f7 = 1. * qx * ry * rz;
T f8 = 1. * rx * ry * rz;
unsigned int dims = A.shape()[1];
for (unsigned int k = 0; k < dims; k++) {
T w = weight[i][k];
A[i][k] = (field[k][ix][iy][iz] * f1 + field[k][jx][iy][iz] * f2 +
field[k][ix][jy][iz] * f3 + field[k][ix][iy][jz] * f4 +
field[k][jx][jy][iz] * f5 + field[k][jx][iy][jz] * f6 +
field[k][ix][jy][jz] * f7 + field[k][jx][jy][jz] * f8) /
w;
}
} //__do_interpolation_vec
template <
typename ParticleBasedArray, typename ParticleArray,
typename ProjectionDensityArray, typename WeightArray,
typename PeriodicFunction>
static typename std::enable_if<WeightArray::dimensionality != 1>::type
interpolation(
ParticleBasedArray &A, const ParticleArray &particles,
const ProjectionDensityArray &field, T Lx, T Ly, T Lz, int N0, int N1,
int N2, const PeriodicFunction &p, const WeightArray &weight,
size_t Np) {
ConsoleContext<LOG_DEBUG> ctx("Classic CIC interpolation");
T inv_dx = N0 / Lx;
T inv_dy = N1 / Ly;
T inv_dz = N2 / Lz;
size_t minX = field.index_bases()[1];
size_t minY = field.index_bases()[2];
size_t minZ = field.index_bases()[3];
size_t maxX = field.index_bases()[1] + field.shape()[1];
size_t maxY = field.index_bases()[2] + field.shape()[2];
size_t maxZ = field.index_bases()[3] + field.shape()[3];
ctx.print(boost::format("minX=%d, maxX=%d, N0=%d") % minX % maxX % N0);
size_t const bounds[3][2] = {{minX, maxX}, {minY, maxY}, {minZ, maxZ}};
# pragma omp parallel for schedule(static)
for (size_t i = 0; i < Np; i++) {
T x = particles[i][0] * inv_dx;
T y = particles[i][1] * inv_dy;
T z = particles[i][2] * inv_dz;
size_t ix = (size_t)std::floor(x);
size_t iy = (size_t)std::floor(y);
size_t iz = (size_t)std::floor(z);
size_t jx = ix + 1;
size_t jy = (iy + 1);
size_t jz = (iz + 1);
p(jx, jy, jz);
T rx = (x - ix);
T ry = (y - iy);
T rz = (z - iz);
T qx = 1 - rx;
T qy = 1 - ry;
T qz = 1 - rz;
if (jx >= maxX) {
Console::instance().print<LOG_ERROR>(
boost::format("Overflow at ix=%d, jx=%d (maxX=%d)") % ix % jx %
maxX);
MPI_Communication::instance()->abort();
}
if (ix < minX) {
Console::instance().print<LOG_ERROR>(
boost::format("Underflow at ix=%d, jx=%d") % ix % jx);
MPI_Communication::instance()->abort();
}
if (jy >= maxY) {
Console::instance().print<LOG_ERROR>(
boost::format("Overflow at iy=%d, jy=%d (maxY=%d)") % iy % jy %
maxY);
MPI_Communication::instance()->abort();
}
if (iy < minY) {
Console::instance().print<LOG_ERROR>(
boost::format("Underflow at iy=%d, jy=%d") % iy % jy);
MPI_Communication::instance()->abort();
}
__do_interpolation_vec(
A, field, weight, i, qx, qy, qz, rx, ry, rz, ix, iy, iz, jx, jy,
jz);
}
} //interpolation
template <
typename GradientArray, typename ProjectionDensityArray,
typename WeightArray>
static inline
typename std::enable_if<WeightArray::dimensionality == 1>::type
__do_gradient(
GradientArray &adj_gradient, const ProjectionDensityArray &density,
const WeightArray &weight, size_t i, int axis, int ix, int iy,
int iz, int jx, int jy, int jz, T x, T y, T z, T global_w) {
T rx, ry, rz;
T qx, qy, qz;
switch (axis) {
case 0:
rx = 1;
qx = -1;
ry = y - iy;
qy = 1 - ry;
rz = z - iz;
qz = 1 - rz;
break;
case 1:
rx = x - ix;
qx = 1 - rx;
ry = 1;
qy = -1;
rz = z - iz;
qz = 1 - rz;
break;
case 2:
rx = x - ix;
qx = 1 - rx;
ry = y - iy;
qy = 1 - ry;
rz = 1;
qz = -1;
break;
}
double w = density[ix][iy][iz] * qx * qy * qz +
density[ix][iy][jz] * qx * qy * rz +
density[ix][jy][iz] * qx * ry * qz +
density[ix][jy][jz] * qx * ry * rz +
density[jx][iy][iz] * rx * qy * qz +
density[jx][iy][jz] * rx * qy * rz +
density[jx][jy][iz] * rx * ry * qz +
density[jx][jy][jz] * rx * ry * rz;
adj_gradient[i][axis] += w * global_w;
} //__do_gradient
template <
typename ParticleArray, typename GradientArray,
typename ProjectionDensityArray, typename PeriodicFunction,
typename WeightArray>
static typename std::enable_if<WeightArray::dimensionality == 1>::type
adjoint(
const ParticleArray &particles, ProjectionDensityArray &density,
GradientArray &adjoint_gradient, const WeightArray &weight, T Lx, T Ly,
T Lz, int N0, int N1, int N2, const PeriodicFunction &p, T nmean,
size_t Np) {
ConsoleContext<LOG_DEBUG> ctx("Classic CIC adjoint-projection");
T inv_dx = N0 / Lx;
T inv_dy = N1 / Ly;
T inv_dz = N2 / Lz;
T inv_nmean = T(1) / nmean;
size_t minX = density.index_bases()[0];
size_t minY = density.index_bases()[1];
size_t minZ = density.index_bases()[2];
size_t maxX = minX + density.shape()[0];
size_t maxY = minY + density.shape()[1];
size_t maxZ = minZ + density.shape()[2];
ctx.print(
boost::format(
"Number of particles = %d (array is %d), minX=%d maxX=%d") %
Np % particles.shape()[0] % minX % maxX);
ctx.print(
boost::format("Adjoint gradient = %d") % adjoint_gradient.shape()[0]);
# pragma omp parallel for schedule(static)
for (size_t i = 0; i < Np; i++) {
T x = particles[i][0] * inv_dx;
T y = particles[i][1] * inv_dy;
T z = particles[i][2] * inv_dz;
size_t ix = (size_t)std::floor(x);
size_t iy = (size_t)std::floor(y);
size_t iz = (size_t)std::floor(z);
size_t jx = (ix + 1);
size_t jy = (iy + 1);
size_t jz = (iz + 1);
p(jx, jy, jz);
if (ignore_overflow) {
error_helper<ErrorBadState>("Overflow cannot be ignored in adjoint.");
}
if (EXTRA_CHECK && jx >= maxX) {
Console::instance().print<LOG_ERROR>(
boost::format("Overflow at ix=%d, jx=%d (maxX adj = %d)") % ix %
jx % maxX);
}
if (EXTRA_CHECK && ix < minX) {
Console::instance().print<LOG_ERROR>(
boost::format("Underflow at ix=%d, jx=%d (adj)") % ix % jx);
}
if (EXTRA_CHECK && jy >= maxY) {
Console::instance().print<LOG_ERROR>(
boost::format("Overflow at iy=%d, jy=%d (maxY=%d) adj") % iy %
jy % maxY);
}
if (EXTRA_CHECK && iy < minY) {
Console::instance().print<LOG_ERROR>(
boost::format("Underflow at iy=%d, jy=%d adj") % iy % jy);
}
if (EXTRA_CHECK && jz >= maxZ) {
Console::instance().print<LOG_ERROR>(
boost::format("Overflow at iz=%d, jz=%d (maxZ=%d) adj") % iz %
jz % maxZ);
}
if (EXTRA_CHECK && iz < minZ) {
Console::instance().print<LOG_ERROR>(
boost::format("Underflow at iz=%d, jz=%d adj") % iz % jz);
}
__do_gradient(
adjoint_gradient, density, weight[i], i, 0, ix, iy, iz, jx, jy, jz,
x, y, z, inv_nmean * inv_dx);
__do_gradient(
adjoint_gradient, density, weight[i], i, 1, ix, iy, iz, jx, jy, jz,
x, y, z, inv_nmean * inv_dy);
__do_gradient(
adjoint_gradient, density, weight[i], i, 2, ix, iy, iz, jx, jy, jz,
x, y, z, inv_nmean * inv_dz);
}
} //adjoint
template <typename GradientArray, typename ProjectionDensityArray>
static inline void __do_gradient(
GradientArray &adj_gradient, const ProjectionDensityArray &density,
double weight, size_t i, int axis, int ix, int iy, int iz, int jx,
int jy, int jz, T x, T y, T z, T global_w) {
T rx, ry, rz;
T qx, qy, qz;
switch (axis) {
case 0:
rx = 1;
qx = -1;
ry = y - iy;
qy = 1 - ry;
rz = z - iz;
qz = 1 - rz;
break;
case 1:
rx = x - ix;
qx = 1 - rx;
ry = 1;
qy = -1;
rz = z - iz;
qz = 1 - rz;
break;
case 2:
rx = x - ix;
qx = 1 - rx;
ry = y - iy;
qy = 1 - ry;
rz = 1;
qz = -1;
break;
}
double w = density[ix][iy][iz] * qx * qy * qz +
density[ix][iy][jz] * qx * qy * rz +
density[ix][jy][iz] * qx * ry * qz +
density[ix][jy][jz] * qx * ry * rz +
density[jx][iy][iz] * rx * qy * qz +
density[jx][iy][jz] * rx * qy * rz +
density[jx][jy][iz] * rx * ry * qz +
density[jx][jy][jz] * rx * ry * rz;
adj_gradient[i][axis] = w * global_w * weight;
} //__do_gradient
template <
typename GradientArray, typename ProjectionDensityArray,
typename WeightElement>
static inline void __do_gradient_vec(
GradientArray &adj_gradient, const ProjectionDensityArray &density,
WeightElement const &weight, size_t i, int axis, int ix, int iy, int iz,
int jx, int jy, int jz, T x, T y, T z, T global_w) {
T rx, ry, rz;
T qx, qy, qz;
switch (axis) {
case 0:
rx = 1;
qx = -1;
ry = y - iy;
qy = 1 - ry;
rz = z - iz;
qz = 1 - rz;
break;
case 1:
rx = x - ix;
qx = 1 - rx;
ry = 1;
qy = -1;
rz = z - iz;
qz = 1 - rz;
break;
case 2:
rx = x - ix;
qx = 1 - rx;
ry = y - iy;
qy = 1 - ry;
rz = 1;
qz = -1;
break;
}
unsigned int dims = weight.shape()[1];
adj_gradient[i][axis] = 0.;
for (unsigned int k = 0; k < dims; k++) {
double w = density[k][ix][iy][iz] * qx * qy * qz +
density[k][ix][iy][jz] * qx * qy * rz +
density[k][ix][jy][iz] * qx * ry * qz +
density[k][ix][jy][jz] * qx * ry * rz +
density[k][jx][iy][iz] * rx * qy * qz +
density[k][jx][iy][jz] * rx * qy * rz +
density[k][jx][jy][iz] * rx * ry * qz +
density[k][jx][jy][jz] * rx * ry * rz;
adj_gradient[i][axis] += w * global_w * weight[k];
}
} //__do_gradient_vec
template <
typename ParticleArray, typename GradientArray,
typename ProjectionDensityArray, typename PeriodicFunction,
typename WeightArray>
static typename std::enable_if<WeightArray::dimensionality != 1>::type
adjoint(
const ParticleArray &particles, ProjectionDensityArray &density,
GradientArray &adjoint_gradient, const WeightArray &weight, T Lx, T Ly,
T Lz, int N0, int N1, int N2, const PeriodicFunction &p, T nmean,
size_t Np) {
ConsoleContext<LOG_DEBUG> ctx("Classic CIC adjoint-projection");
T inv_dx = N0 / Lx;
T inv_dy = N1 / Ly;
T inv_dz = N2 / Lz;
T inv_nmean = T(1) / nmean;
size_t minX = density.index_bases()[0];
size_t minY = density.index_bases()[1];
size_t minZ = density.index_bases()[2];
size_t maxX = minX + density.shape()[0];
size_t maxY = minY + density.shape()[1];
size_t maxZ = minZ + density.shape()[2];
ctx.print(
boost::format(
"Number of particles = %d (array is %d), minX=%d maxX=%d") %
Np % particles.shape()[0] % minX % maxX);
ctx.print(
boost::format("Adjoint gradient = %d") % adjoint_gradient.shape()[0]);
# pragma omp parallel for schedule(static)
for (size_t i = 0; i < Np; i++) {
T x = particles[i][0] * inv_dx;
T y = particles[i][1] * inv_dy;
T z = particles[i][2] * inv_dz;
size_t ix = (size_t)std::floor(x);
size_t iy = (size_t)std::floor(y);
size_t iz = (size_t)std::floor(z);
size_t jx = (ix + 1);
size_t jy = (iy + 1);
size_t jz = (iz + 1);
p(jx, jy, jz);
if (ignore_overflow) {
error_helper<ErrorBadState>("Overflow cannot be ignored in adjoint.");
}
if (EXTRA_CHECK && jx >= maxX) {
Console::instance().print<LOG_ERROR>(
boost::format("Overflow at ix=%d, jx=%d (maxX adj = %d)") % ix %
jx % maxX);
}
if (EXTRA_CHECK && ix < minX) {
Console::instance().print<LOG_ERROR>(
boost::format("Underflow at ix=%d, jx=%d (adj)") % ix % jx);
}
if (EXTRA_CHECK && jy >= maxY) {
Console::instance().print<LOG_ERROR>(
boost::format("Overflow at iy=%d, jy=%d (maxY=%d) adj") % iy %
jy % maxY);
}
if (EXTRA_CHECK && iy < minY) {
Console::instance().print<LOG_ERROR>(
boost::format("Underflow at iy=%d, jy=%d adj") % iy % jy);
}
if (EXTRA_CHECK && jz >= maxZ) {
Console::instance().print<LOG_ERROR>(
boost::format("Overflow at iz=%d, jz=%d (maxZ=%d) adj") % iz %
jz % maxZ);
}
if (EXTRA_CHECK && iz < minZ) {
Console::instance().print<LOG_ERROR>(
boost::format("Underflow at iz=%d, jz=%d adj") % iz % jz);
}
__do_gradient_vec(
adjoint_gradient, density, weight[i], i, 0, ix, iy, iz, jx, jy, jz,
x, y, z, inv_nmean * inv_dx);
__do_gradient_vec(
adjoint_gradient, density, weight[i], i, 1, ix, iy, iz, jx, jy, jz,
x, y, z, inv_nmean * inv_dy);
__do_gradient_vec(
adjoint_gradient, density, weight[i], i, 2, ix, iy, iz, jx, jy, jz,
x, y, z, inv_nmean * inv_dz);
}
} //adjoint
template <
typename ParticleBasedScalar, typename ParticleArray,
typename ProjectionDensityArray, typename WeightArray,
typename PeriodicFunction>
static typename std::enable_if<WeightArray::dimensionality == 1>::type
adjoint_interpolation_scalar(
int axis, ParticleBasedScalar &A, const ParticleArray &particles,
const ProjectionDensityArray &field, T Lx, T Ly, T Lz, int N0, int N1,
int N2, const PeriodicFunction &p, const WeightArray &weight,
size_t Np) {
ConsoleContext<LOG_DEBUG> ctx("Classic CIC adjoint-interpolation");
T inv_dx = N0 / Lx;
T inv_dy = N1 / Ly;
T inv_dz = N2 / Lz;
size_t minX = field.index_bases()[0];
size_t minY = field.index_bases()[1];
size_t minZ = field.index_bases()[2];
size_t maxX = field.index_bases()[0] + field.shape()[0];
size_t maxY = field.index_bases()[1] + field.shape()[1];
size_t maxZ = field.index_bases()[2] + field.shape()[2];
ctx.print(boost::format("minX=%d, maxX=%d, N0=%d") % minX % maxX % N0);
size_t const bounds[3][2] = {{minX, maxX}, {minY, maxY}, {minZ, maxZ}};
# pragma omp parallel for schedule(static)
for (long i = 0; i < Np; i++) {
T x = particles[i][0] * inv_dx;
T y = particles[i][1] * inv_dy;
T z = particles[i][2] * inv_dz;
size_t ix = (size_t)std::floor(x);
size_t iy = (size_t)std::floor(y);
size_t iz = (size_t)std::floor(z);
size_t jx = ix + 1;
size_t jy = (iy + 1);
size_t jz = (iz + 1);
p(jx, jy, jz);
T rx, ry, rz;
T qx, qy, qz;
switch (axis) {
case 0:
rx = 1;
qx = -1;
ry = y - iy;
qy = 1 - ry;
rz = z - iz;
qz = 1 - rz;
break;
case 1:
rx = x - ix;
qx = 1 - rx;
ry = 1;
qy = -1;
rz = z - iz;
qz = 1 - rz;
break;
case 2:
rx = x - ix;
qx = 1 - rx;
ry = y - iy;
qy = 1 - ry;
rz = 1;
qz = -1;
break;
}
if (jx >= maxX) {
Console::instance().print<LOG_ERROR>(
boost::format("Overflow at ix=%d, jx=%d (maxX=%d)") % ix % jx %
maxX);
MPI_Communication::instance()->abort();
}
if (ix < minX) {
Console::instance().print<LOG_ERROR>(
boost::format("Underflow at ix=%d, jx=%d") % ix % jx);
MPI_Communication::instance()->abort();
}
if (jy >= maxY) {
Console::instance().print<LOG_ERROR>(
boost::format("Overflow at iy=%d, jy=%d (maxY=%d)") % iy % jy %
maxY);
MPI_Communication::instance()->abort();
}
if (iy < minY) {
Console::instance().print<LOG_ERROR>(
boost::format("Underflow at iy=%d, jy=%d") % iy % jy);
MPI_Communication::instance()->abort();
}
__do_interpolation(
A, field, weight, i, qx, qy, qz, rx, ry, rz, ix, iy, iz, jx, jy,
jz);
}
} //adjoint_interpolation_scalar
template <
typename ParticleBasedArray, typename ParticleArray,
typename ProjectionDensityArray, typename WeightArray,
typename PeriodicFunction>
static typename std::enable_if<WeightArray::dimensionality != 1>::type
adjoint_interpolation(
int axis, ParticleBasedArray &A, const ParticleArray &particles,
const ProjectionDensityArray &field, T Lx, T Ly, T Lz, int N0, int N1,
int N2, const PeriodicFunction &p, const WeightArray &weight,
size_t Np) {
ConsoleContext<LOG_DEBUG> ctx("Classic CIC adjoint-interpolation");
T inv_dx = N0 / Lx;
T inv_dy = N1 / Ly;
T inv_dz = N2 / Lz;
size_t minX = field.index_bases()[0];
size_t minY = field.index_bases()[1];
size_t minZ = field.index_bases()[2];
size_t maxX = field.index_bases()[0] + field.shape()[0];
size_t maxY = field.index_bases()[1] + field.shape()[1];
size_t maxZ = field.index_bases()[2] + field.shape()[2];
ctx.print(boost::format("minX=%d, maxX=%d, N0=%d") % minX % maxX % N0);
size_t const bounds[3][2] = {{minX, maxX}, {minY, maxY}, {minZ, maxZ}};
# pragma omp parallel for schedule(static)
for (size_t i = 0; i < Np; i++) {
T x = particles[i][0] * inv_dx;
T y = particles[i][1] * inv_dy;
T z = particles[i][2] * inv_dz;
size_t ix = (size_t)std::floor(x);
size_t iy = (size_t)std::floor(y);
size_t iz = (size_t)std::floor(z);
size_t jx = ix + 1;
size_t jy = (iy + 1);
size_t jz = (iz + 1);
p(jx, jy, jz);
T rx, ry, rz;
T qx, qy, qz;
switch (axis) {
case 0:
rx = 1;
qx = -1;
ry = y - iy;
qy = 1 - ry;
rz = z - iz;
qz = 1 - rz;
break;
case 1:
rx = x - ix;
qx = 1 - rx;
ry = 1;
qy = -1;
rz = z - iz;
qz = 1 - rz;
break;
case 2:
rx = x - ix;
qx = 1 - rx;
ry = y - iy;
qy = 1 - ry;
rz = 1;
qz = -1;
break;
}
if (jx >= maxX) {
Console::instance().print<LOG_ERROR>(
boost::format("Overflow at ix=%d, jx=%d (maxX=%d)") % ix % jx %
maxX);
MPI_Communication::instance()->abort();
}
if (ix < minX) {
Console::instance().print<LOG_ERROR>(
boost::format("Underflow at ix=%d, jx=%d") % ix % jx);
MPI_Communication::instance()->abort();
}
if (jy >= maxY) {
Console::instance().print<LOG_ERROR>(
boost::format("Overflow at iy=%d, jy=%d (maxY=%d)") % iy % jy %
maxY);
MPI_Communication::instance()->abort();
}
if (iy < minY) {
Console::instance().print<LOG_ERROR>(
boost::format("Underflow at iy=%d, jy=%d") % iy % jy);
MPI_Communication::instance()->abort();
}
__do_interpolation_vec(
A, field, weight, i, qx, qy, qz, rx, ry, rz, ix, iy, iz, jx, jy,
jz);
}
} //adjoint_interpolation
};
template <typename T>
struct CIC_Distribution {
typedef long LongElt;
std::shared_ptr<FFTW_Manager_3d<T>> &force_mgr;
size_t f_N0;
size_t f_startN0;
size_t f_localN0;
double L0, inv_dx;
CIC_Distribution(
std::shared_ptr<FFTW_Manager_3d<T>> &mgr, double L0, double = 0,
double = 0)
: force_mgr(mgr), f_N0(mgr->N0), f_startN0(mgr->startN0),
f_localN0(mgr->localN0) {
this->L0 = L0;
this->inv_dx = f_N0 / L0;
}
template <typename Position, typename... U>
LongElt operator()(Position &&pos, U &&...) {
double q = pos[0] * inv_dx;
double floor_q = std::floor(q);
LongElt i0 = LongElt(floor_q);
if (i0 < 0 || i0 >= f_N0)
error_helper<ErrorBadState>(
"Do not know how to distribute that position: " +
std::to_string(pos[0]));
return force_mgr->get_peer(i0);
}
};
template <typename T, bool ignore_overflow = false>
class ClassicCloudInCell
: public GenericCIC<T, ClassicCloudInCell_impl<T, ignore_overflow>> {
public:
typedef T Type;
typedef ClassicCloudInCell_impl<T, ignore_overflow> Base;
// Number of extra planes required in case of MPI
static const int MPI_PLANE_LEAKAGE = 1;
static const int MPI_NEGATIVE_PLANE_LEAKAGE = 0;
typedef CIC_Tools::Periodic_MPI Periodic_MPI;
typedef CIC_Distribution<T> Distribution;
};
} // namespace LibLSS
#endif
// ARES TAG: authors_num = 3
// ARES TAG: name(0) = Jens Jasche
// ARES TAG: year(0) = 2009-2019
// ARES TAG: email(0) = jens.jasche@fysik.su.se
// ARES TAG: name(1) = Guilhem Lavaux
// ARES TAG: year(1) = 2014-2019
// ARES TAG: email(1) = guilhem.lavaux@iap.fr
// ARES TAG: name(2) = Florent Leclercq
// ARES TAG: year(2) = 2019
// ARES TAG: email(2) = florent.leclercq@polytechnique.org
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