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/****************************************************************************** |
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* Top contributors (to current version): |
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* Gereon Kremer, Mathias Preiner |
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* |
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* This file is part of the cvc5 project. |
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* |
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* Copyright (c) 2009-2021 by the authors listed in the file AUTHORS |
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* in the top-level source directory and their institutional affiliations. |
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* All rights reserved. See the file COPYING in the top-level source |
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* directory for licensing information. |
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* **************************************************************************** |
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* |
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* Implementation of RealAlgebraicNumber based on libpoly. |
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*/ |
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#include "base/cvc5config.h" |
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#include "util/real_algebraic_number.h" |
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#ifndef CVC5_POLY_IMP // Make sure this comes after base/cvc5config.h |
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#error "This source should only ever be built if CVC5_POLY_IMP is on!" |
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#endif /* CVC5_POLY_IMP */ |
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#include <poly/polyxx.h> |
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#include <limits> |
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#include "base/check.h" |
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#include "util/poly_util.h" |
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namespace cvc5 { |
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RealAlgebraicNumber::RealAlgebraicNumber(poly::AlgebraicNumber&& an) |
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: d_value(std::move(an)) |
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{ |
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} |
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RealAlgebraicNumber::RealAlgebraicNumber(const Integer& i) |
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: d_value(poly::DyadicRational(poly_utils::toInteger(i))) |
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{ |
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} |
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RealAlgebraicNumber::RealAlgebraicNumber(const Rational& r) |
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{ |
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poly::Rational pr = poly_utils::toRational(r); |
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auto dr = poly_utils::toDyadicRational(r); |
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if (dr) |
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{ |
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d_value = poly::AlgebraicNumber(dr.value()); |
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} |
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else |
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{ |
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d_value = poly::AlgebraicNumber( |
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poly::UPolynomial({numerator(pr), -denominator(pr)}), |
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poly::DyadicInterval(floor(pr), ceil(pr))); |
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} |
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} |
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RealAlgebraicNumber::RealAlgebraicNumber(const std::vector<long>& coefficients, |
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long lower, |
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long upper) |
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{ |
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#ifdef CVC5_ASSERTIONS |
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for (long c : coefficients) |
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{ |
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Assert(std::numeric_limits<std::int32_t>::min() <= c |
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&& c <= std::numeric_limits<std::int32_t>::max()) |
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<< "Coefficients need to fit within 32 bit integers. Please use the " |
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"constructor based on Integer instead."; |
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} |
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#endif |
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d_value = poly::AlgebraicNumber(poly::UPolynomial(coefficients), |
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poly::DyadicInterval(lower, upper)); |
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} |
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RealAlgebraicNumber::RealAlgebraicNumber( |
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const std::vector<Integer>& coefficients, |
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const Rational& lower, |
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const Rational& upper) |
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{ |
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*this = poly_utils::toRanWithRefinement( |
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poly::UPolynomial(poly_utils::toInteger(coefficients)), lower, upper); |
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} |
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RealAlgebraicNumber::RealAlgebraicNumber( |
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const std::vector<Rational>& coefficients, |
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const Rational& lower, |
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const Rational& upper) |
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{ |
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Integer factor = Integer(1); |
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for (const auto& c : coefficients) |
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{ |
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factor = factor.lcm(c.getDenominator()); |
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} |
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std::vector<poly::Integer> coeffs; |
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for (const auto& c : coefficients) |
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{ |
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Assert((c * factor).getDenominator() == Integer(1)); |
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coeffs.emplace_back(poly_utils::toInteger((c * factor).getNumerator())); |
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} |
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*this = poly_utils::toRanWithRefinement( |
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poly::UPolynomial(std::move(coeffs)), lower, upper); |
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} |
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std::ostream& operator<<(std::ostream& os, const RealAlgebraicNumber& ran) |
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{ |
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return os << ran.getValue(); |
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} |
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bool operator==(const RealAlgebraicNumber& lhs, const RealAlgebraicNumber& rhs) |
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{ |
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return lhs.getValue() == rhs.getValue(); |
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} |
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bool operator!=(const RealAlgebraicNumber& lhs, const RealAlgebraicNumber& rhs) |
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{ |
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return lhs.getValue() != rhs.getValue(); |
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} |
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bool operator<(const RealAlgebraicNumber& lhs, const RealAlgebraicNumber& rhs) |
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{ |
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return lhs.getValue() < rhs.getValue(); |
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} |
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bool operator<=(const RealAlgebraicNumber& lhs, const RealAlgebraicNumber& rhs) |
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{ |
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return lhs.getValue() <= rhs.getValue(); |
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} |
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bool operator>(const RealAlgebraicNumber& lhs, const RealAlgebraicNumber& rhs) |
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{ |
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return lhs.getValue() > rhs.getValue(); |
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} |
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bool operator>=(const RealAlgebraicNumber& lhs, const RealAlgebraicNumber& rhs) |
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{ |
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return lhs.getValue() >= rhs.getValue(); |
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} |
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RealAlgebraicNumber operator+(const RealAlgebraicNumber& lhs, |
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const RealAlgebraicNumber& rhs) |
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{ |
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return lhs.getValue() + rhs.getValue(); |
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} |
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RealAlgebraicNumber operator-(const RealAlgebraicNumber& lhs, |
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const RealAlgebraicNumber& rhs) |
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{ |
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return lhs.getValue() - rhs.getValue(); |
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} |
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RealAlgebraicNumber operator-(const RealAlgebraicNumber& ran) |
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{ |
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return -ran.getValue(); |
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} |
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RealAlgebraicNumber operator*(const RealAlgebraicNumber& lhs, |
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const RealAlgebraicNumber& rhs) |
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{ |
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return lhs.getValue() * rhs.getValue(); |
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} |
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RealAlgebraicNumber& operator+=(RealAlgebraicNumber& lhs, |
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const RealAlgebraicNumber& rhs) |
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{ |
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lhs.getValue() = lhs.getValue() + rhs.getValue(); |
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return lhs; |
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} |
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RealAlgebraicNumber& operator-=(RealAlgebraicNumber& lhs, |
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const RealAlgebraicNumber& rhs) |
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{ |
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lhs.getValue() = lhs.getValue() - rhs.getValue(); |
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return lhs; |
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} |
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RealAlgebraicNumber& operator*=(RealAlgebraicNumber& lhs, |
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const RealAlgebraicNumber& rhs) |
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{ |
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lhs.getValue() = lhs.getValue() * rhs.getValue(); |
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return lhs; |
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} |
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int sgn(const RealAlgebraicNumber& ran) { return sgn(ran.getValue()); } |
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bool isZero(const RealAlgebraicNumber& ran) { return is_zero(ran.getValue()); } |
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bool isOne(const RealAlgebraicNumber& ran) { return is_one(ran.getValue()); } |
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} // namespace cvc5 |