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/* -*- mode: C++; c-basic-offset: 2; indent-tabs-mode: nil -*- */
/*
* Main authors:
* Christian Schulte <schulte@gecode.org>
* Guido Tack <tack@gecode.org>
*
* Copyright:
* Christian Schulte, 2009
* Guido Tack, 2010
*
* This file is part of Gecode, the generic constraint
* development environment:
* http://www.gecode.org
*
* Permission is hereby granted, free of charge, to any person obtaining
* a copy of this software and associated documentation files (the
* "Software"), to deal in the Software without restriction, including
* without limitation the rights to use, copy, modify, merge, publish,
* distribute, sublicense, and/or sell copies of the Software, and to
* permit persons to whom the Software is furnished to do so, subject to
* the following conditions:
*
* The above copyright notice and this permission notice shall be
* included in all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
* NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
* LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
* OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
* WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
*
*/
#include <algorithm>
#include <cmath>
namespace Gecode { namespace Int { namespace Cumulative {
/*
* Omega tree
*/
forceinline void
OmegaNode::init(const OmegaNode&, const OmegaNode&) {
e = 0; env = -Limits::llinfinity;
}
forceinline void
OmegaNode::update(const OmegaNode& l, const OmegaNode& r) {
e = l.e + r.e; env = std::max(plus(l.env,r.e), r.env);
}
template<class TaskView>
OmegaTree<TaskView>::OmegaTree(Region& r, int c0,
const TaskViewArray<TaskView>& t)
: TaskTree<TaskView,OmegaNode>(r,t), c(c0) {
for (int i=0; i<tasks.size(); i++) {
leaf(i).e = 0; leaf(i).env = -Limits::llinfinity;
}
init();
}
template<class TaskView>
forceinline void
OmegaTree<TaskView>::insert(int i) {
leaf(i).e = tasks[i].e();
leaf(i).env =
static_cast<long long int>(c)*tasks[i].est()+tasks[i].e();
update(i);
}
template<class TaskView>
forceinline void
OmegaTree<TaskView>::remove(int i) {
leaf(i).e = 0; leaf(i).env = -Limits::llinfinity;
update(i);
}
template<class TaskView>
forceinline long long int
OmegaTree<TaskView>::env(void) const {
return root().env;
}
/*
* Extended Omega tree
*/
forceinline void
ExtOmegaNode::init(const ExtOmegaNode& l, const ExtOmegaNode& r) {
OmegaNode::init(l,r);
cenv = -Limits::llinfinity;
}
forceinline void
ExtOmegaNode::update(const ExtOmegaNode& l, const ExtOmegaNode& r) {
OmegaNode::update(l,r);
cenv = std::max(plus(l.cenv,r.e), r.cenv);
}
template<class TaskView> void
ExtOmegaTree<TaskView>::init(int ci0) {
ci = ci0;
for (int i=0; i<tasks.size(); i++) {
leaf(i).e = 0;
leaf(i).env = leaf(i).cenv = -Limits::llinfinity;
}
init();
}
template<class TaskView> template<class Node>
ExtOmegaTree<TaskView>::ExtOmegaTree(Region& r, int c0,
const TaskTree<TaskView,Node>& t)
: TaskTree<TaskView,ExtOmegaNode>(r,t), c(c0) {}
template<class TaskView>
forceinline long long int
ExtOmegaTree<TaskView>::env(int i) {
// Enter task i
leaf(i).e = tasks[i].e();
leaf(i).env =
static_cast<long long int>(c)*tasks[i].est()+tasks[i].e();
leaf(i).cenv =
static_cast<long long int>(c-ci)*tasks[i].est()+tasks[i].e();
TaskTree<TaskView,ExtOmegaNode>::update(i);
// Perform computation of node for task with minest
int met = 0;
{
long long int e = 0;
while (!n_leaf(met)) {
if (plus(node[n_right(met)].cenv,e) >
static_cast<long long int>(c-ci) * tasks[i].lct()) {
met = n_right(met);
} else {
e += node[n_right(met)].e; met = n_left(met);
}
}
}
/*
* The following idea to compute the cut in one go is taken from:
* Joseph Scott, Filtering Algorithms for Discrete Resources,
* Master Thesis, Uppsala University, 2010 (in preparation).
*/
// Now perform split from leaf met upwards
long long int a_e = node[met].e;
long long int a_env = node[met].env;
long long int b_e = 0;
while (!n_root(met)) {
if (left(met)) {
b_e += node[n_right(n_parent(met))].e;
} else {
a_env = std::max(a_env, plus(node[n_left(n_parent(met))].env,a_e));
a_e += node[n_left(n_parent(met))].e;
}
met = n_parent(met);
}
return plus(a_env,b_e);
}
/*
* Omega lambda tree
*/
forceinline void
OmegaLambdaNode::init(const OmegaLambdaNode& l, const OmegaLambdaNode& r) {
OmegaNode::init(l,r);
le = 0; lenv = -Limits::llinfinity;
resLe = undef; resLenv = undef;
}
forceinline void
OmegaLambdaNode::update(const OmegaLambdaNode& l, const OmegaLambdaNode& r) {
OmegaNode::update(l,r);
if (l.le + r.e > l.e + r.le) {
le = l.le + r.e;
resLe = l.resLe;
} else {
le = l.e + r.le;
resLe = r.resLe;
}
if ((r.lenv >= plus(l.env,r.le)) && (r.lenv >= plus(l.lenv,r.e))) {
lenv = r.lenv; resLenv = r.resLenv;
} else if (plus(l.env,r.le) >= plus(l.lenv,r.e)) {
assert(plus(l.env,r.le) > r.lenv);
lenv = plus(l.env,r.le); resLenv = r.resLe;
} else {
assert((plus(l.lenv,r.e) > r.lenv) &&
(plus(l.lenv,r.e) > plus(l.env,r.le)));
lenv = plus(l.lenv,r.e); resLenv = l.resLenv;
}
}
template<class TaskView>
OmegaLambdaTree<TaskView>::OmegaLambdaTree(Region& r, int c0,
const TaskViewArray<TaskView>& t)
: TaskTree<TaskView,OmegaLambdaNode>(r,t), c(c0) {
// Enter all tasks into tree (omega = all tasks, lambda = empty)
for (int i=0; i<tasks.size(); i++) {
leaf(i).e = tasks[i].e();
leaf(i).le = 0;
leaf(i).env = static_cast<long long int>(c)*tasks[i].est()+tasks[i].e();
leaf(i).lenv = -Limits::llinfinity;
leaf(i).resLe = OmegaLambdaNode::undef;
leaf(i).resLenv = OmegaLambdaNode::undef;
}
update();
}
template<class TaskView>
forceinline void
OmegaLambdaTree<TaskView>::shift(int i) {
// i is in omega
assert(leaf(i).env > -Limits::llinfinity);
leaf(i).le = leaf(i).e;
leaf(i).e = 0;
leaf(i).lenv = leaf(i).env;
leaf(i).env = -Limits::llinfinity;
leaf(i).resLe = i;
leaf(i).resLenv = i;
update(i);
}
template<class TaskView>
forceinline void
OmegaLambdaTree<TaskView>::lremove(int i) {
// i not in omega but in lambda
assert(leaf(i).env == -Limits::llinfinity);
assert(leaf(i).lenv > -Limits::llinfinity);
leaf(i).le = 0;
leaf(i).lenv = -Limits::llinfinity;
leaf(i).resLe = OmegaLambdaNode::undef;
leaf(i).resLenv = OmegaLambdaNode::undef;
update(i);
}
template<class TaskView>
forceinline bool
OmegaLambdaTree<TaskView>::lempty(void) const {
return root().resLenv < 0;
}
template<class TaskView>
forceinline int
OmegaLambdaTree<TaskView>::responsible(void) const {
return root().resLenv;
}
template<class TaskView>
forceinline long long int
OmegaLambdaTree<TaskView>::env(void) const {
return root().env;
}
template<class TaskView>
forceinline long long int
OmegaLambdaTree<TaskView>::lenv(void) const {
return root().lenv;
}
}}}
// STATISTICS: int-prop