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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -1,11 +1,132 @@ | ||
| #include "fintamath/functions/logarithms/Log.hpp" | ||
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| #include "fintamath/exceptions/UndefinedException.hpp" | ||
| #include "fintamath/functions/arithmetic/Neg.hpp" | ||
| #include "fintamath/literals/constants/ComplexInf.hpp" | ||
| #include "fintamath/literals/constants/Inf.hpp" | ||
| #include "fintamath/literals/constants/NegInf.hpp" | ||
| #include "fintamath/literals/constants/Undefined.hpp" | ||
| #include "fintamath/numbers/RealFunctions.hpp" | ||
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| namespace fintamath { | ||
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| std::unique_ptr<IMathObject> Log::call(const ArgumentsRefVector &argsVect) const { | ||
| return log(convert<Real>(argsVect.front().get()), convert<Real>(argsVect.back().get())).toMinimalObject(); | ||
| const auto &lhs = cast<INumber>(argsVect.front().get()); | ||
| const auto &rhs = cast<INumber>(argsVect.back().get()); | ||
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| if (lhs == Integer(1)) { | ||
| if (rhs == Integer(1)) { | ||
| return Undefined().clone(); | ||
| } | ||
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| return ComplexInf().clone(); | ||
| } | ||
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| if (lhs < Integer(0) || rhs < Integer(0)) { | ||
| // TODO: cast to Complex, when it is implemented | ||
| throw UndefinedFunctionException(toString(), {lhs.toString(), rhs.toString()}); | ||
| } | ||
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| if (lhs == Integer(0)) { | ||
| if (rhs == Integer(0)) { | ||
| return Undefined().clone(); | ||
| } | ||
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| return Integer(0).clone(); | ||
| } | ||
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| if (rhs == Integer(0)) { | ||
| if (lhs > Integer(1)) { | ||
| return NegInf().clone(); | ||
| } | ||
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| return Inf().clone(); | ||
| } | ||
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| if (rhs == Integer(1)) { | ||
| return Integer(0).clone(); | ||
| } | ||
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| if (lhs == rhs) { | ||
| return Integer(1).clone(); | ||
| } | ||
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| if (lhs < Integer(1)) { | ||
| auto newLhs = Rational(1) / lhs; | ||
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| if (rhs < Integer(1)) { | ||
| auto newRhs = Rational(1) / rhs; | ||
| return multiLogSimpl(*newLhs, *newRhs); | ||
| } | ||
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| return Neg()(*multiLogSimpl(*newLhs, rhs)); | ||
| } | ||
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| if (rhs < Integer(1)) { | ||
| auto newRhs = Rational(1) / rhs; | ||
| return Neg()(*multiLogSimpl(lhs, *newRhs)); | ||
| } | ||
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| return multiLogSimpl(lhs, rhs); | ||
| } | ||
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| std::unique_ptr<IMathObject> Log::multiLogSimpl(const INumber &lhs, const INumber &rhs) { | ||
| static const auto multiLog = [] { | ||
| static MultiMethod<std::unique_ptr<IMathObject>(const INumber &, const INumber &)> outMultiPow; | ||
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| outMultiPow.add<Integer, Integer>([](const Integer &inLhs, const Integer &inRhs) { | ||
| return logSimpl(inLhs, inRhs); | ||
| }); | ||
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| outMultiPow.add<Rational, Rational>([](const Rational &inLhs, const Rational &inRhs) { | ||
| return logSimpl(inLhs, inRhs); | ||
| }); | ||
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| outMultiPow.add<Real, Real>([](const Real &inLhs, const Real &inRhs) { | ||
| return logSimpl(inLhs, inRhs); | ||
| }); | ||
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| return outMultiPow; | ||
| }(); | ||
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| if (auto rhsConv = cast<INumber>(convert(lhs, rhs))) { | ||
| return multiLog(lhs, *rhsConv); | ||
| } | ||
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| auto lhsConv = cast<INumber>(convert(rhs, lhs)); | ||
| return multiLog(*lhsConv, rhs); | ||
| } | ||
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| std::unique_ptr<IMathObject> Log::logSimpl(const Integer &lhs, const Integer &rhs) { | ||
| return logSimpl(Rational(lhs), Rational(rhs)); | ||
| } | ||
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| std::unique_ptr<IMathObject> Log::logSimpl(const Rational &lhs, const Rational &rhs) { | ||
| const bool isResInverted = lhs > rhs; | ||
| const Rational divider = isResInverted ? rhs : lhs; | ||
| Rational remainder = isResInverted ? lhs : rhs; | ||
| Rational res = 0; | ||
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| while (remainder > divider) { | ||
| res += 1; | ||
| remainder /= divider; | ||
| } | ||
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| if (remainder == divider) { | ||
| res += 1; | ||
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| if (isResInverted) { | ||
| return (Rational(1) / res).toMinimalObject(); | ||
| } | ||
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| return res.toMinimalObject(); | ||
| } | ||
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| return logSimpl(Real(lhs), Real(rhs)); | ||
| } | ||
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| std::unique_ptr<IMathObject> Log::logSimpl(const Real &lhs, const Real &rhs) { | ||
| return log(lhs, rhs).toMinimalObject(); | ||
| } | ||
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| } |
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