transc.hpp gecode/third-party/boost/config.hpp gecode/third-party/boost/numeric/interval/detail/interval_prototype.hpp gecode/third-party/boost/numeric/interval/detail/bugs.hpp gecode/third-party/boost/numeric/interval/detail/test_input.hpp gecode/third-party/boost/numeric/interval/rounding.hpp gecode/third-party/boost/numeric/interval/constants.hpp gecode/third-party/boost/numeric/interval/arith.hpp gecode/third-party/boost/numeric/interval/arith2.hpp algorithm /usr/include/gecode/third-party/boost/numeric/interval.hpp gecode/third-party/boost/numeric/interval/detail/test_input.hpp gecode/third-party/boost/config/suffix.hpp gecode/third-party/boost/config/no_tr1/cmath.hpp gecode/third-party/boost/numeric/interval/rounding.hpp gecode/third-party/boost/numeric/interval/policies.hpp cmath cassert stdexcept gecode/third-party/boost/numeric/interval/constants.hpp string gecode/third-party/boost/numeric/interval/detail/bugs.hpp limits.h gecode/third-party/boost/config/select_platform_config.hpp gecode/third-party/boost/numeric/interval/arith2.hpp gecode/third-party/boost/config/select_compiler_config.hpp gecode/third-party/boost/numeric/interval/detail/interval_prototype.hpp gecode/third-party/boost/config.hpp gecode/third-party/boost/numeric/interval/arith.hpp /usr/include/gecode/third-party/boost/numeric/interval/transc.hpp gecode/third-party/boost/numeric/interval/detail/division.hpp gecode/third-party/boost/numeric/interval/rounded_arith.hpp gecode/third-party/boost/numeric/interval/interval.hpp algorithm /usr/include/gecode/float.hh /usr/include/gecode/third-party/boost/numeric/interval.hpp /usr/include/gecode/float/rel.hh /usr/include/gecode/float/arithmetic.hh /usr/include/gecode/float/linear.hh /usr/include/gecode/float/branch.hh /usr/include/gecode/third-party/boost/numeric/interval/transc.hpp boost boost::numeric /*Boostinterval/transc.hpptemplateimplementationfile * *Copyright2000JensMaurer *Copyright2002HervéBrönnimann,GuillaumeMelquiond,SylvainPion * *DistributedundertheBoostSoftwareLicense,Version1.0. *(SeeaccompanyingfileLICENSE_1_0.txtor *copyathttp://www.boost.org/LICENSE_1_0.txt) */ #ifndefBOOST_NUMERIC_INTERVAL_TRANSC_HPP #defineBOOST_NUMERIC_INTERVAL_TRANSC_HPP #include<gecode/third-party/boost/config.hpp> #include<gecode/third-party/boost/numeric/interval/detail/interval_prototype.hpp> #include<gecode/third-party/boost/numeric/interval/detail/bugs.hpp> #include<gecode/third-party/boost/numeric/interval/detail/test_input.hpp> #include<gecode/third-party/boost/numeric/interval/rounding.hpp> #include<gecode/third-party/boost/numeric/interval/constants.hpp> #include<gecode/third-party/boost/numeric/interval/arith.hpp> #include<gecode/third-party/boost/numeric/interval/arith2.hpp> #include<algorithm> namespaceboost{ namespacenumeric{ template<classT,classPolicies>inline interval<T,Policies>exp(constinterval<T,Policies>&x) { typedefinterval<T,Policies>I; if(interval_lib::detail::test_input(x)) returnI::empty(); typenamePolicies::roundingrnd; returnI(rnd.exp_down(x.lower()),rnd.exp_up(x.upper()),true); } template<classT,classPolicies>inline interval<T,Policies>log(constinterval<T,Policies>&x) { typedefinterval<T,Policies>I; if(interval_lib::detail::test_input(x)|| !interval_lib::user::is_pos(x.upper())) returnI::empty(); typenamePolicies::roundingrnd; typedeftypenamePolicies::checkingchecking; Tl=!interval_lib::user::is_pos(x.lower()) ?checking::neg_inf():rnd.log_down(x.lower()); returnI(l,rnd.log_up(x.upper()),true); } template<classT,classPolicies>inline interval<T,Policies>cos(constinterval<T,Policies>&x) { if(interval_lib::detail::test_input(x)) returninterval<T,Policies>::empty(); typenamePolicies::roundingrnd; typedefinterval<T,Policies>I; typedeftypenameinterval_lib::unprotect<I>::typeR; //getlowerboundwithin[0,pi] constRpi2=interval_lib::pi_twice<R>(); Rtmp=fmod((constR&)x,pi2); if(width(tmp)>=pi2.lower()) returnI(static_cast<T>(-1),static_cast<T>(1),true);//wearecoveringafullperiod if(tmp.lower()>=interval_lib::constants::pi_upper<T>()) return-cos(tmp-interval_lib::pi<R>()); Tl=tmp.lower(); Tu=tmp.upper(); BOOST_USING_STD_MIN(); //separateintomonotonesubintervals if(u<=interval_lib::constants::pi_lower<T>()) returnI(rnd.cos_down(u),rnd.cos_up(l),true); elseif(u<=pi2.lower()) returnI(static_cast<T>(-1),rnd.cos_up(minBOOST_PREVENT_MACRO_SUBSTITUTION(rnd.sub_down(pi2.lower(),u),l)),true); else returnI(static_cast<T>(-1),static_cast<T>(1),true); } template<classT,classPolicies>inline interval<T,Policies>sin(constinterval<T,Policies>&x) { typedefinterval<T,Policies>I; if(interval_lib::detail::test_input(x)) returnI::empty(); typenamePolicies::roundingrnd; typedeftypenameinterval_lib::unprotect<I>::typeR; Ir=cos((constR&)x-interval_lib::pi_half<R>()); (void)&rnd; returnr; } template<classT,classPolicies>inline interval<T,Policies>tan(constinterval<T,Policies>&x) { typedefinterval<T,Policies>I; if(interval_lib::detail::test_input(x)) returnI::empty(); typenamePolicies::roundingrnd; typedeftypenameinterval_lib::unprotect<I>::typeR; //getlowerboundwithin[-pi/2,pi/2] constRpi=interval_lib::pi<R>(); Rtmp=fmod((constR&)x,pi); constTpi_half_d=interval_lib::constants::pi_half_lower<T>(); if(tmp.lower()>=pi_half_d) tmp-=pi; if(tmp.lower()<=-pi_half_d||tmp.upper()>=pi_half_d) returnI::whole(); returnI(rnd.tan_down(tmp.lower()),rnd.tan_up(tmp.upper()),true); } template<classT,classPolicies>inline interval<T,Policies>asin(constinterval<T,Policies>&x) { typedefinterval<T,Policies>I; if(interval_lib::detail::test_input(x) ||x.upper()<static_cast<T>(-1)||x.lower()>static_cast<T>(1)) returnI::empty(); typenamePolicies::roundingrnd; Tl=(x.lower()<=static_cast<T>(-1)) ?-interval_lib::constants::pi_half_upper<T>() :rnd.asin_down(x.lower()); Tu=(x.upper()>=static_cast<T>(1)) ?interval_lib::constants::pi_half_upper<T>() :rnd.asin_up(x.upper()); returnI(l,u,true); } template<classT,classPolicies>inline interval<T,Policies>acos(constinterval<T,Policies>&x) { typedefinterval<T,Policies>I; if(interval_lib::detail::test_input(x) ||x.upper()<static_cast<T>(-1)||x.lower()>static_cast<T>(1)) returnI::empty(); typenamePolicies::roundingrnd; Tl=(x.upper()>=static_cast<T>(1)) ?static_cast<T>(0) :rnd.acos_down(x.upper()); Tu=(x.lower()<=static_cast<T>(-1)) ?interval_lib::constants::pi_upper<T>() :rnd.acos_up(x.lower()); returnI(l,u,true); } template<classT,classPolicies>inline interval<T,Policies>atan(constinterval<T,Policies>&x) { typedefinterval<T,Policies>I; if(interval_lib::detail::test_input(x)) returnI::empty(); typenamePolicies::roundingrnd; returnI(rnd.atan_down(x.lower()),rnd.atan_up(x.upper()),true); } template<classT,classPolicies>inline interval<T,Policies>sinh(constinterval<T,Policies>&x) { typedefinterval<T,Policies>I; if(interval_lib::detail::test_input(x)) returnI::empty(); typenamePolicies::roundingrnd; returnI(rnd.sinh_down(x.lower()),rnd.sinh_up(x.upper()),true); } template<classT,classPolicies>inline interval<T,Policies>cosh(constinterval<T,Policies>&x) { typedefinterval<T,Policies>I; if(interval_lib::detail::test_input(x)) returnI::empty(); typenamePolicies::roundingrnd; if(interval_lib::user::is_neg(x.upper())) returnI(rnd.cosh_down(x.upper()),rnd.cosh_up(x.lower()),true); elseif(!interval_lib::user::is_neg(x.lower())) returnI(rnd.cosh_down(x.lower()),rnd.cosh_up(x.upper()),true); else returnI(static_cast<T>(1),rnd.cosh_up(-x.lower()>x.upper()?x.lower():x.upper()),true); } template<classT,classPolicies>inline interval<T,Policies>tanh(constinterval<T,Policies>&x) { typedefinterval<T,Policies>I; if(interval_lib::detail::test_input(x)) returnI::empty(); typenamePolicies::roundingrnd; returnI(rnd.tanh_down(x.lower()),rnd.tanh_up(x.upper()),true); } template<classT,classPolicies>inline interval<T,Policies>asinh(constinterval<T,Policies>&x) { typedefinterval<T,Policies>I; if(interval_lib::detail::test_input(x)) returnI::empty(); typenamePolicies::roundingrnd; returnI(rnd.asinh_down(x.lower()),rnd.asinh_up(x.upper()),true); } template<classT,classPolicies>inline interval<T,Policies>acosh(constinterval<T,Policies>&x) { typedefinterval<T,Policies>I; if(interval_lib::detail::test_input(x)||x.upper()<static_cast<T>(1)) returnI::empty(); typenamePolicies::roundingrnd; Tl=x.lower()<=static_cast<T>(1)?static_cast<T>(0):rnd.acosh_down(x.lower()); returnI(l,rnd.acosh_up(x.upper()),true); } template<classT,classPolicies>inline interval<T,Policies>atanh(constinterval<T,Policies>&x) { typedefinterval<T,Policies>I; if(interval_lib::detail::test_input(x) ||x.upper()<static_cast<T>(-1)||x.lower()>static_cast<T>(1)) returnI::empty(); typenamePolicies::roundingrnd; typedeftypenamePolicies::checkingchecking; Tl=(x.lower()<=static_cast<T>(-1)) ?checking::neg_inf():rnd.atanh_down(x.lower()); Tu=(x.upper()>=static_cast<T>(1)) ?checking::pos_inf():rnd.atanh_up(x.upper()); returnI(l,u,true); } }//namespacenumeric }//namespaceboost #endif//BOOST_NUMERIC_INTERVAL_TRANSC_HPP