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-// This file is part of a joint effort between Eigen, a lightweight C++ template library
-// for linear algebra, and MPFR C++, a C++ interface to MPFR library (http://www.holoborodko.com/pavel/)
-//
-// Copyright (C) 2010-2012 Pavel Holoborodko <pavel@holoborodko.com>
-// Copyright (C) 2010 Konstantin Holoborodko <konstantin@holoborodko.com>
-// Copyright (C) 2010 Gael Guennebaud <gael.guennebaud@inria.fr>
-//
-// This Source Code Form is subject to the terms of the Mozilla
-// Public License v. 2.0. If a copy of the MPL was not distributed
-// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
-
-#ifndef EIGEN_MPREALSUPPORT_MODULE_H
-#define EIGEN_MPREALSUPPORT_MODULE_H
-
-#include <Eigen/Core>
-#include <mpreal.h>
-
-namespace Eigen {
-
-/**
- * \defgroup MPRealSupport_Module MPFRC++ Support module
- * \code
- * #include <Eigen/MPRealSupport>
- * \endcode
- *
- * This module provides support for multi precision floating point numbers
- * via the <a href="http://www.holoborodko.com/pavel/mpfr">MPFR C++</a>
- * library which itself is built upon <a href="http://www.mpfr.org/">MPFR</a>/<a href="http://gmplib.org/">GMP</a>.
- *
- * \warning MPFR C++ is licensed under the GPL.
- *
- * You can find a copy of MPFR C++ that is known to be compatible in the unsupported/test/mpreal folder.
- *
- * Here is an example:
- *
-\code
-#include <iostream>
-#include <Eigen/MPRealSupport>
-#include <Eigen/LU>
-using namespace mpfr;
-using namespace Eigen;
-int main()
-{
- // set precision to 256 bits (double has only 53 bits)
- mpreal::set_default_prec(256);
- // Declare matrix and vector types with multi-precision scalar type
- typedef Matrix<mpreal,Dynamic,Dynamic> MatrixXmp;
- typedef Matrix<mpreal,Dynamic,1> VectorXmp;
-
- MatrixXmp A = MatrixXmp::Random(100,100);
- VectorXmp b = VectorXmp::Random(100);
-
- // Solve Ax=b using LU
- VectorXmp x = A.lu().solve(b);
- std::cout << "relative error: " << (A*x - b).norm() / b.norm() << std::endl;
- return 0;
-}
-\endcode
- *
- */
-
- template<> struct NumTraits<mpfr::mpreal>
- : GenericNumTraits<mpfr::mpreal>
- {
- enum {
- IsInteger = 0,
- IsSigned = 1,
- IsComplex = 0,
- RequireInitialization = 1,
- ReadCost = HugeCost,
- AddCost = HugeCost,
- MulCost = HugeCost
- };
-
- typedef mpfr::mpreal Real;
- typedef mpfr::mpreal NonInteger;
-
- static inline Real highest (long Precision = mpfr::mpreal::get_default_prec()) { return mpfr::maxval(Precision); }
- static inline Real lowest (long Precision = mpfr::mpreal::get_default_prec()) { return -mpfr::maxval(Precision); }
-
- // Constants
- static inline Real Pi (long Precision = mpfr::mpreal::get_default_prec()) { return mpfr::const_pi(Precision); }
- static inline Real Euler (long Precision = mpfr::mpreal::get_default_prec()) { return mpfr::const_euler(Precision); }
- static inline Real Log2 (long Precision = mpfr::mpreal::get_default_prec()) { return mpfr::const_log2(Precision); }
- static inline Real Catalan (long Precision = mpfr::mpreal::get_default_prec()) { return mpfr::const_catalan(Precision); }
-
- static inline Real epsilon (long Precision = mpfr::mpreal::get_default_prec()) { return mpfr::machine_epsilon(Precision); }
- static inline Real epsilon (const Real& x) { return mpfr::machine_epsilon(x); }
-
-#ifdef MPREAL_HAVE_DYNAMIC_STD_NUMERIC_LIMITS
- static inline int digits10 (long Precision = mpfr::mpreal::get_default_prec()) { return std::numeric_limits<Real>::digits10(Precision); }
- static inline int digits10 (const Real& x) { return std::numeric_limits<Real>::digits10(x); }
-#endif
-
- static inline Real dummy_precision()
- {
- mpfr_prec_t weak_prec = ((mpfr::mpreal::get_default_prec()-1) * 90) / 100;
- return mpfr::machine_epsilon(weak_prec);
- }
- };
-
- namespace internal {
-
- template<> inline mpfr::mpreal random<mpfr::mpreal>()
- {
- return mpfr::random();
- }
-
- template<> inline mpfr::mpreal random<mpfr::mpreal>(const mpfr::mpreal& a, const mpfr::mpreal& b)
- {
- return a + (b-a) * random<mpfr::mpreal>();
- }
-
- inline bool isMuchSmallerThan(const mpfr::mpreal& a, const mpfr::mpreal& b, const mpfr::mpreal& eps)
- {
- return mpfr::abs(a) <= mpfr::abs(b) * eps;
- }
-
- inline bool isApprox(const mpfr::mpreal& a, const mpfr::mpreal& b, const mpfr::mpreal& eps)
- {
- return mpfr::isEqualFuzzy(a,b,eps);
- }
-
- inline bool isApproxOrLessThan(const mpfr::mpreal& a, const mpfr::mpreal& b, const mpfr::mpreal& eps)
- {
- return a <= b || mpfr::isEqualFuzzy(a,b,eps);
- }
-
- template<> inline long double cast<mpfr::mpreal,long double>(const mpfr::mpreal& x)
- { return x.toLDouble(); }
-
- template<> inline double cast<mpfr::mpreal,double>(const mpfr::mpreal& x)
- { return x.toDouble(); }
-
- template<> inline long cast<mpfr::mpreal,long>(const mpfr::mpreal& x)
- { return x.toLong(); }
-
- template<> inline int cast<mpfr::mpreal,int>(const mpfr::mpreal& x)
- { return int(x.toLong()); }
-
- // Specialize GEBP kernel and traits for mpreal (no need for peeling, nor complicated stuff)
- // This also permits to directly call mpfr's routines and avoid many temporaries produced by mpreal
- template<>
- class gebp_traits<mpfr::mpreal, mpfr::mpreal, false, false>
- {
- public:
- typedef mpfr::mpreal ResScalar;
- enum {
- Vectorizable = false,
- LhsPacketSize = 1,
- RhsPacketSize = 1,
- ResPacketSize = 1,
- NumberOfRegisters = 1,
- nr = 1,
- mr = 1,
- LhsProgress = 1,
- RhsProgress = 1
- };
- typedef ResScalar LhsPacket;
- typedef ResScalar RhsPacket;
- typedef ResScalar ResPacket;
-
- };
-
-
-
- template<typename Index, typename DataMapper, bool ConjugateLhs, bool ConjugateRhs>
- struct gebp_kernel<mpfr::mpreal,mpfr::mpreal,Index,DataMapper,1,1,ConjugateLhs,ConjugateRhs>
- {
- typedef mpfr::mpreal mpreal;
-
- EIGEN_DONT_INLINE
- void operator()(const DataMapper& res, const mpreal* blockA, const mpreal* blockB,
- Index rows, Index depth, Index cols, const mpreal& alpha,
- Index strideA=-1, Index strideB=-1, Index offsetA=0, Index offsetB=0)
- {
- if(rows==0 || cols==0 || depth==0)
- return;
-
- mpreal acc1(0,mpfr_get_prec(blockA[0].mpfr_srcptr())),
- tmp (0,mpfr_get_prec(blockA[0].mpfr_srcptr()));
-
- if(strideA==-1) strideA = depth;
- if(strideB==-1) strideB = depth;
-
- for(Index i=0; i<rows; ++i)
- {
- for(Index j=0; j<cols; ++j)
- {
- const mpreal *A = blockA + i*strideA + offsetA;
- const mpreal *B = blockB + j*strideB + offsetB;
-
- acc1 = 0;
- for(Index k=0; k<depth; k++)
- {
- mpfr_mul(tmp.mpfr_ptr(), A[k].mpfr_srcptr(), B[k].mpfr_srcptr(), mpreal::get_default_rnd());
- mpfr_add(acc1.mpfr_ptr(), acc1.mpfr_ptr(), tmp.mpfr_ptr(), mpreal::get_default_rnd());
- }
-
- mpfr_mul(acc1.mpfr_ptr(), acc1.mpfr_srcptr(), alpha.mpfr_srcptr(), mpreal::get_default_rnd());
- mpfr_add(res(i,j).mpfr_ptr(), res(i,j).mpfr_srcptr(), acc1.mpfr_srcptr(), mpreal::get_default_rnd());
- }
- }
- }
- };
- } // end namespace internal
-}
-
-#endif // EIGEN_MPREALSUPPORT_MODULE_H
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