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Support for Operator Fusion using FuseT #203

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152 changes: 152 additions & 0 deletions src/examples/FuseTExamples/AddEx.cc
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/*
This file is part of MADNESS.

Copyright (C) 2007,2010 Oak Ridge National Laboratory

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 2 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, write to the Free Software
Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA

For more information please contact:

Robert J. Harrison
Oak Ridge National Laboratory
One Bethel Valley Road
P.O. Box 2008, MS-6367

email: [email protected]
tel: 865-241-3937
fax: 865-572-0680

$Id$
*/
//#define WORLD_INSTANTIATE_STATIC_TEMPLATES
#include <madness/mra/mra.h>
#include <madness/mra/operator.h>
#include <madness/constants.h>
#include <madness/mra/FuseT/CopyOp.h>
#include <madness/mra/FuseT/CompressOp.h>
#include <madness/mra/FuseT/AddOp.h>
#include <madness/mra/FuseT/FuseT.h>
#include <madness/mra/FuseT/FusedExecutor.h>
#include <madness/mra/FuseT/OpExecutor.h>

using namespace madness;

static const double L = 20; // Half box size
static const long k = 8; // wavelet order
static const double thresh = 1e-6; // precision
static const double c = 2.0; //
static const double tstep = 0.1;
static const double alpha = 1.9; // Exponent
static const double VVV = 0.2; // Vp constant value

// Initial Gaussian with exponent alpha
static double uinitial(const coord_3d& r) {
const double x=r[0], y=r[1], z=r[2];
return exp(-alpha*(2*x*x+y*y+z*z))*pow(constants::pi/alpha,-1.5);
}

static double Vp(const coord_3d& r) {
return VVV;
}

// Exact solution at time t
class uexact : public FunctionFunctorInterface<double,3> {
double t;
public:
uexact(double t) : t(t) {}

double operator()(const coord_3d& r) const {
const double x=r[0], y=r[1], z=r[2];
double rsq = (x*x+y*y+z*z);

return exp(VVV*t)*exp(-rsq*alpha/(1.0+4.0*alpha*t*c)) * pow(alpha/((1+4*alpha*t*c)*constants::pi),1.5);
}
};

// Functor to compute exp(f) where f is a madness function
template<typename T, int NDIM>
struct unaryexp {
void operator()(const Key<NDIM>& key, Tensor<T>& t) const {
UNARY_OPTIMIZED_ITERATOR(T, t, *_p0 = exp(*_p0););
}
template <typename Archive>
void serialize(Archive& ar) {}
};

int main(int argc, char** argv)
{
initialize(argc, argv);
World world(SafeMPI::COMM_WORLD);

startup(world, argc, argv);

FunctionDefaults<3>::set_k(k);
FunctionDefaults<3>::set_thresh(thresh);
FunctionDefaults<3>::set_refine(true);
FunctionDefaults<3>::set_autorefine(false);
FunctionDefaults<3>::set_cubic_cell(-L, L);

real_function_3d u0 = real_factory_3d(world).f(uinitial);
real_function_3d u1 = real_factory_3d(world).f(uinitial);
u0.truncate();
u1.truncate();

double u0_norm = u0.norm2();
double u0_trace = u0.trace();
double u1_norm = u1.norm2();
double u1_trace = u1.trace();

if (world.rank() == 0) print("u0 Initial norm", u0_norm,"trace", u0_trace);
if (world.rank() == 0) print("u1 Initial norm", u1_norm,"trace", u1_trace);
world.gop.fence();

// Make exponential of Vp
real_function_3d result_factory = real_factory_3d(world);
real_function_3d result_factory1 = real_factory_3d(world);
real_function_3d result(result_factory);
real_function_3d result1(result_factory);

double result_init_norm = result.norm2();
double result_init_trace = result.trace();

if (world.rank() == 0) print("Initial Result norm", result_init_norm,"trace", result_init_trace);
world.gop.fence();

AddOp<double,3> op1("Add",&result,&u0,&u1);
OpExecutor<double,3> exe(world);
exe.execute(&op1, false);
world.gop.fence();

u0_norm = u0.norm2();
u0_trace = u0.trace();
u1_norm = u1.norm2();
u1_trace = u1.trace();
double result_norm = result.norm2();
double result_trace = result.trace();

result1 = u0 + u1;

double result1_norm = result1.norm2();
double result1_trace = result1.trace();
if (world.rank() == 0) print("u0 norm", u0_norm," u0 trace", u0_trace);
if (world.rank() == 0) print("u1 norm", u1_norm," u1 trace", u1_trace);
if (world.rank() == 0) print("Result norm", result_norm," result trace", result_trace);
if (world.rank() == 0) print("Result1 norm", result1_norm," result1 trace", result1_trace);
world.gop.fence();

finalize();
return 0;
}

207 changes: 207 additions & 0 deletions src/examples/FuseTExamples/CopyEx.cc
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/*
This file is part of MADNESS.

Copyright (C) 2007,2010 Oak Ridge National Laboratory

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 2 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, write to the Free Software
Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA

For more information please contact:

Robert J. Harrison
Oak Ridge National Laboratory
One Bethel Valley Road
P.O. Box 2008, MS-6367

email: [email protected]
tel: 865-241-3937
fax: 865-572-0680

$Id$
*/
//#define WORLD_INSTANTIATE_STATIC_TEMPLATES
#include <madness/mra/mra.h>
#include <madness/mra/operator.h>
#include <madness/constants.h>
#include <madness/mra/FuseT/CopyOp.h>
#include <madness/mra/FuseT/CompressOp.h>
#include <madness/mra/FuseT/OpExecutor.h>
/*!
\file heat2.cc
\brief Example Green function for the 3D heat equation with a linear term
\defgroup heatex2 Evolve in time 3D heat equation with a linear term
\ingroup examples

The source is <a href=http://code.google.com/p/m-a-d-n-e-s-s/source/browse/local/trunk/src/apps/examples/heat2.cc>here</a>.

\par Points of interest
- application of a function of a function to exponentiate the potential
- use of a functor to compute the solution at an arbitrary future time
- convolution with the Green's function


\par Background

This adds to the complexity of the other \ref exampleheat "heat equation example"
by including a linear term. Specifically, we solve
\f[
\frac{\partial u(x,t)}{\partial t} = c \nabla^2 u(x,t) + V_p(x,t) u(x,t)
\f]
If \f$ V_p = 0 \f$ time evolution operator is
\f[
G_0(x,t) = \frac{1}{\sqrt{4 \pi c t}} \exp \frac{-x^2}{4 c t}
\f]
For non-zero \f$ V_p \f$ the time evolution is performed using the Trotter splitting
\f[
G(x,t) = G_0(x,t/2) * \exp(V_p t) * G_0(x,t/2) + O(t^3)
\f]
In order to form an exact solution for testing, we choose \f$ V_p(x,t)=\mbox{constant} \f$
but the solution method is not limited to this choice.

*/
using namespace madness;

static const double L = 20; // Half box size
static const long k = 8; // wavelet order
static const double thresh = 1e-6; // precision
static const double c = 2.0; //
static const double tstep = 0.1;
static const double alpha = 1.9; // Exponent
static const double VVV = 0.2; // Vp constant value

// Initial Gaussian with exponent alpha
static double uinitial(const coord_3d& r) {
const double x=r[0], y=r[1], z=r[2];
return exp(-alpha*(2*x*x+y*y+z*z))*pow(constants::pi/alpha,-1.5);
}

static double Vp(const coord_3d& r) {
return VVV;
}

// Exact solution at time t
class uexact : public FunctionFunctorInterface<double,3> {
double t;
public:
uexact(double t) : t(t) {}

double operator()(const coord_3d& r) const {
const double x=r[0], y=r[1], z=r[2];
double rsq = (x*x+y*y+z*z);

return exp(VVV*t)*exp(-rsq*alpha/(1.0+4.0*alpha*t*c)) * pow(alpha/((1+4*alpha*t*c)*constants::pi),1.5);
}
};

// Functor to compute exp(f) where f is a madness function
template<typename T, int NDIM>
struct unaryexp {
void operator()(const Key<NDIM>& key, Tensor<T>& t) const {
UNARY_OPTIMIZED_ITERATOR(T, t, *_p0 = exp(*_p0););
}
template <typename Archive>
void serialize(Archive& ar) {}
};

int main(int argc, char** argv)
{
initialize(argc, argv);
World world(SafeMPI::COMM_WORLD);

startup(world, argc, argv);

FunctionDefaults<3>::set_k(k);
FunctionDefaults<3>::set_thresh(thresh);
FunctionDefaults<3>::set_refine(true);
FunctionDefaults<3>::set_autorefine(false);
FunctionDefaults<3>::set_cubic_cell(-L, L);

real_function_3d u0 = real_factory_3d(world).f(uinitial);
u0.truncate();

double u0_norm = u0.norm2();
double u0_trace = u0.trace();

if (world.rank() == 0) print("Initial norm", u0_norm,"trace", u0_trace);
world.gop.fence();

// Make exponential of Vp
real_function_3d result_factory = real_factory_3d(world);
real_function_3d result(result_factory);
real_function_3d result_factory1 = real_factory_3d(world);
real_function_3d result1(result_factory1);
real_function_3d result_factory2 = real_factory_3d(world);
real_function_3d result2(result_factory2);
real_function_3d result_factory3 = real_factory_3d(world);
real_function_3d result3(result_factory3);
real_function_3d result_factory4 = real_factory_3d(world);
real_function_3d result4(result_factory4);
real_function_3d result_factory5 = real_factory_3d(world);
real_function_3d result5(result_factory5);
real_function_3d result_factory6 = real_factory_3d(world);
real_function_3d result6(result_factory6);
real_function_3d result_factory7 = real_factory_3d(world);
real_function_3d result7(result_factory7);
real_function_3d result_factory8 = real_factory_3d(world);
real_function_3d result8(result_factory8);
real_function_3d result_factory9 = real_factory_3d(world);
real_function_3d result9(result_factory9);
real_function_3d result_factory10 = real_factory_3d(world);
real_function_3d result10(result_factory10);

double result_init_norm = result.norm2();
double result_init_trace = result.trace();

if (world.rank() == 0) print("Initial Result norm", result_init_norm,"trace", result_init_trace);
world.gop.fence();

CopyOp<double,3> op1("Copy",&result,&u0);
CopyOp<double,3> op2("Copy",&result1,&u0);
CopyOp<double,3> op3("Copy",&result2,&u0);
CopyOp<double,3> op4("Copy",&result3,&u0);
CopyOp<double,3> op5("Copy",&result4,&u0);
CopyOp<double,3> op6("Copy",&result5,&u0);
CopyOp<double,3> op7("Copy",&result6,&u0);
CopyOp<double,3> op8("Copy",&result7,&u0);
CopyOp<double,3> op9("Copy",&result8,&u0);
CopyOp<double,3> op10("Copy",&result9,&u0);
CopyOp<double,3> op11("Copy",&result10,&u0);
OpExecutor<double,3> exe(world);
exe.execute(&op1, false);
exe.execute(&op2, false);
exe.execute(&op3, false);
exe.execute(&op4, false);
exe.execute(&op5, false);
exe.execute(&op6, false);
exe.execute(&op7, false);
exe.execute(&op8, false);
exe.execute(&op9, false);
exe.execute(&op10, false);
exe.execute(&op11, false);
world.gop.fence();

u0_norm = u0.norm2();
u0_trace = u0.trace();
double result_norm = result.norm2();
double result_trace = result.trace();

if (world.rank() == 0) print("u0 norm", u0_norm," u0 trace", u0_trace);
world.gop.fence();
if (world.rank() == 0) print("Result norm", result_norm," result trace", result_trace);
world.gop.fence();

finalize();
return 0;
}

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