tanatan.hpp
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/* -*- mode: C++; c-basic-offset: 2; indent-tabs-mode: nil -*- */
/*
* Main authors:
* Vincent Barichard <Vincent.Barichard@univ-angers.fr>
*
* Copyright:
* Vincent Barichard, 2012
*
* 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.
*
*/
namespace Gecode { namespace Float { namespace Trigonometric {
/*
* ATan projection function
*
*/
template<class V>
void
aTanProject(Rounding& r, const V& aTanIv, FloatNum& iv_min, FloatNum& iv_max, int& n_min, int& n_max) {
#define I0__PI_2I FloatVal(0,pi_half_upper())
#define POS(X) ((I0__PI_2I.in(X))?0:1)
#define ATANINF_DOWN r.atan_down(aTanIv.min())
#define ATANSUP_UP r.atan_up(aTanIv.max())
// 0 <=> in [0;PI/2]
// 1 <=> in [PI/2;PI]
switch ( POS(iv_min) )
{
case 0:
if (r.tan_down(iv_min) > aTanIv.max()) { n_min++; iv_min = ATANINF_DOWN; }
else if (r.tan_up(iv_min) < aTanIv.min()) { iv_min = ATANINF_DOWN; }
break;
case 1:
if (r.tan_down(iv_min) > aTanIv.max()) { n_min+=2; iv_min = ATANINF_DOWN; }
else if (r.tan_up(iv_min) < aTanIv.min()) { n_min++; iv_min = ATANINF_DOWN; }
break;
default:
GECODE_NEVER;
break;
}
// 0 <=> in [0;PI/2]
// 1 <=> in [PI/2;PI]
switch ( POS(iv_max) )
{
case 0:
if (r.tan_down(iv_max) > aTanIv.max()) { iv_max = ATANSUP_UP; }
else if (r.tan_up(iv_max) < aTanIv.min()) { n_max--; iv_max = ATANSUP_UP; }
break;
case 1:
if (r.tan_down(iv_max) > aTanIv.max()) { n_max++; iv_max = ATANSUP_UP; }
else if (r.tan_up(iv_max) < aTanIv.min()) { iv_max = ATANSUP_UP; }
break;
default:
GECODE_NEVER;
break;
}
#undef ATANINF_DOWN
#undef ATANSUP_UP
#undef POS
#undef I0__PI_2I
}
/*
* Bounds consistent tangent operator
*
*/
template<class A, class B>
ExecStatus
Tan<A,B>::dopropagate(Space& home, A x0, B x1) {
Rounding r;
int n_min = static_cast<int>(r.div_up(x0.min() + pi_half_upper(), pi_upper()));
int n_max = static_cast<int>(r.div_up(x0.max() + pi_half_upper(), pi_upper()));
if (x0 == x1) {
#define I0__PI_2I FloatVal(0,pi_half_upper())
if (I0__PI_2I.in(x0.max())) GECODE_ME_CHECK(x0.lq(home,0));
if (I0__PI_2I.in(-x0.min())) GECODE_ME_CHECK(x0.gq(home,0));
#undef I0__PI_2I
n_min = static_cast<int>(r.div_up(x0.min(), pi_upper()));
n_max = static_cast<int>(r.div_up(x0.max(), pi_upper()));
FloatNum x0_min;
FloatNum x0_max;
FloatNum t = x0.min();
do {
x0_min = t;
if (r.tan_down(x0_min) > x0_min) n_min++;
t = r.add_down(r.mul_up(n_min,pi_upper()),r.tan_down(x0_min));
} while (t > x0_min);
t = r.sub_down(r.mul_up(2*n_max,pi_upper()),x0.max());
do {
x0_max = t;
if (r.tan_down(x0_max) < x0_max) n_max--;
t = r.add_up(r.mul_up(n_max,pi_upper()),r.tan_up(x0_max));
} while (t > x0_max);
x0_max = r.sub_up(r.mul_up(2*n_max,pi_upper()),x0_max);
if (x0_min > x0_max) return ES_FAILED;
GECODE_ME_CHECK(x0.eq(home,FloatVal(x0_min,x0_max)));
} else {
GECODE_ME_CHECK(x1.eq(home,tan(x0.val())));
n_min = static_cast<int>(r.div_up(x0.min(), pi_upper()));
n_max = static_cast<int>(r.div_up(x0.max(), pi_upper()));
if (x0.min() < 0) n_min--;
if (x0.max() < 0) n_max--;
FloatNum iv_min = r.sub_down(x0.min(),r.mul_down(n_min, pi_upper()));
FloatNum iv_max = r.sub_up (x0.max(),r.mul_down(n_max, pi_upper()));
aTanProject(r,x1,iv_min,iv_max,n_min,n_max);
FloatNum n_iv_min = r.add_down(iv_min,r.mul_down(n_min, pi_upper()));
FloatNum n_iv_max = r.add_up (iv_max,r.mul_down(n_max, pi_upper()));
if (n_iv_min > n_iv_max) return ES_FAILED;
GECODE_ME_CHECK(x0.eq(home,FloatVal(n_iv_min,n_iv_max)));
GECODE_ME_CHECK(x1.eq(home,tan(x0.val()))); // Redo tan because with x0 reduction, sin may be more accurate
}
return ES_OK;
}
template<class A, class B>
forceinline
Tan<A,B>::Tan(Home home, A x0, B x1)
: MixBinaryPropagator<A,PC_FLOAT_BND,B,PC_FLOAT_BND>(home,x0,x1) {}
template<class A, class B>
ExecStatus
Tan<A,B>::post(Home home, A x0, B x1) {
if (x0 == x1) {
#define I0__PI_2I FloatVal(0,pi_half_upper())
if (I0__PI_2I.in(x0.max())) GECODE_ME_CHECK(x0.lq(home,0));
if (I0__PI_2I.in(-x0.min())) GECODE_ME_CHECK(x0.gq(home,0));
#undef I0__PI_2I
}
GECODE_ES_CHECK(dopropagate(home,x0,x1));
(void) new (home) Tan<A,B>(home,x0,x1);
return ES_OK;
}
template<class A, class B>
forceinline
Tan<A,B>::Tan(Space& home, Tan<A,B>& p)
: MixBinaryPropagator<A,PC_FLOAT_BND,B,PC_FLOAT_BND>(home,p) {}
template<class A, class B>
Actor*
Tan<A,B>::copy(Space& home) {
return new (home) Tan<A,B>(home,*this);
}
template<class A, class B>
ExecStatus
Tan<A,B>::propagate(Space& home, const ModEventDelta&) {
GECODE_ES_CHECK(dopropagate(home,x0,x1));
return (x0.assigned()) ? home.ES_SUBSUMED(*this) : ES_FIX;
}
/*
* Bounds consistent arc tangent operator
*
*/
template<class A, class B>
forceinline
ATan<A,B>::ATan(Home home, A x0, B x1)
: MixBinaryPropagator<A,PC_FLOAT_BND,B,PC_FLOAT_BND>(home,x0,x1) {}
template<class A, class B>
ExecStatus
ATan<A,B>::post(Home home, A x0, B x1) {
if (x0 == x1) {
GECODE_ME_CHECK(x0.eq(home,0.0));
} else {
GECODE_ME_CHECK(x1.eq(home,atan(x0.domain())));
GECODE_ME_CHECK(x0.eq(home,tan(x1.domain())));
(void) new (home) ATan<A,B>(home,x0,x1);
}
return ES_OK;
}
template<class A, class B>
forceinline
ATan<A,B>::ATan(Space& home, ATan<A,B>& p)
: MixBinaryPropagator<A,PC_FLOAT_BND,B,PC_FLOAT_BND>(home,p) {}
template<class A, class B>
Actor*
ATan<A,B>::copy(Space& home) {
return new (home) ATan<A,B>(home,*this);
}
template<class A, class B>
ExecStatus
ATan<A,B>::propagate(Space& home, const ModEventDelta&) {
GECODE_ME_CHECK(x1.eq(home,atan(x0.domain())));
GECODE_ME_CHECK(x0.eq(home,tan(x1.domain())));
return (x0.assigned() && x1.assigned()) ? home.ES_SUBSUMED(*this) : ES_FIX;
}
}}}
// STATISTICS: float-prop
Gecode::Actor
Base-class for both propagators and branchers.
Definition core.hpp:628
Gecode::FloatVal
Float value type.
Definition float.hh:334
Gecode::Float::Rounding
Floating point rounding policy.
Definition float.hh:154
Gecode::Float::Trigonometric::ATan::copy
virtual Actor * copy(Space &home)
Create copy during cloning.
Definition tanatan.hpp:212
Gecode::Float::Trigonometric::ATan::propagate
virtual ExecStatus propagate(Space &home, const ModEventDelta &med)
Perform propagation.
Definition tanatan.hpp:218
Gecode::Float::Trigonometric::ATan::post
static ExecStatus post(Home home, A x0, B x1)
Post propagator for .
Definition tanatan.hpp:193
Gecode::Float::Trigonometric::ATan::ATan
ATan(Space &home, ATan &p)
Constructor for cloning p.
Definition tanatan.hpp:207
Gecode::Float::Trigonometric::Tan::post
static ExecStatus post(Home home, A x0, B x1)
Post propagator for .
Definition tanatan.hpp:151
Gecode::Float::Trigonometric::Tan::dopropagate
static ExecStatus dopropagate(Space &home, A x0, B x1)
Perform actual propagation.
Definition tanatan.hpp:93
Gecode::Float::Trigonometric::Tan::copy
virtual Actor * copy(Space &home)
Create copy during cloning.
Definition tanatan.hpp:170
Gecode::Float::Trigonometric::Tan::Tan
Tan(Space &home, Tan &p)
Constructor for cloning p.
Definition tanatan.hpp:165
Gecode::Float::Trigonometric::Tan::propagate
virtual ExecStatus propagate(Space &home, const ModEventDelta &med)
Perform propagation.
Definition tanatan.hpp:176
Gecode::Home
Home class for posting propagators
Definition core.hpp:856
Gecode::MixBinaryPropagator< A, PC_FLOAT_BND, B, PC_FLOAT_BND >::x1
B x1
Definition pattern.hpp:209
Gecode::MixBinaryPropagator< A, PC_FLOAT_BND, B, PC_FLOAT_BND >::MixBinaryPropagator
MixBinaryPropagator(Space &home, MixBinaryPropagator &p)
Definition pattern.hpp:597
Gecode::MixBinaryPropagator< A, PC_FLOAT_BND, B, PC_FLOAT_BND >::x0
A x0
Definition pattern.hpp:207
Gecode::Propagator::Space
friend class Space
Definition core.hpp:1066
Gecode::Space::ES_SUBSUMED
ExecStatus ES_SUBSUMED(Propagator &p)
Definition core.hpp:3563
Gecode::ModEventDelta
int ModEventDelta
Modification event deltas.
Definition core.hpp:89
GECODE_ME_CHECK
#define GECODE_ME_CHECK(me)
Check whether modification event me is failed, and forward failure.
Definition macros.hpp:52
GECODE_ES_CHECK
#define GECODE_ES_CHECK(es)
Check whether execution status es is failed or subsumed, and forward failure or subsumption.
Definition macros.hpp:91
Gecode::FloatNum
double FloatNum
Floating point number base type.
Definition float.hh:106
Gecode::Float::Trigonometric
Trigonometric propagators
Gecode::Float::Trigonometric::aTanProject
void aTanProject(Rounding &r, const V &aTanIv, FloatNum &iv_min, FloatNum &iv_max, int &n_min, int &n_max)
Definition tanatan.hpp:41
Gecode::Float
Floating point numbers.
Gecode::Float::PC_FLOAT_BND
const Gecode::PropCond PC_FLOAT_BND
Propagate when minimum or maximum of a view changes.
Definition var-type.hpp:292
Gecode
Gecode toplevel namespace
Gecode::pi_upper
FloatNum pi_upper(void)
Return upper bound of .
Definition num.hpp:49
Gecode::pi_half_upper
FloatNum pi_half_upper(void)
Return upper bound of .
Definition num.hpp:41
Gecode::atan
void atan(Home home, FloatVar x0, FloatVar x1)
Post propagator for .
Definition trigonometric.cpp:73
Gecode::ExecStatus
ExecStatus
Definition core.hpp:472
Gecode::ES_OK
@ ES_OK
Execution is okay.
Definition core.hpp:476
Gecode::ES_FIX
@ ES_FIX
Propagation has computed fixpoint.
Definition core.hpp:477
Gecode::ES_FAILED
@ ES_FAILED
Execution has resulted in failure.
Definition core.hpp:474
Gecode::tan
void tan(Home home, FloatVar x0, FloatVar x1)
Post propagator for .
Definition trigonometric.cpp:80
I0__PI_2I
#define I0__PI_2I
POS
#define POS(X)
forceinline
#define forceinline
Definition config.hpp:187
GECODE_NEVER
#define GECODE_NEVER
Assert that this command is never executed.
Definition macros.hpp:56
ATANSUP_UP
#define ATANSUP_UP
ATANINF_DOWN
#define ATANINF_DOWN