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bug #876: remove usage of atanh2 in matrix power

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This commit is contained in:
Gael Guennebaud 2014-12-08 16:44:05 +01:00
parent 77294047d6
commit 5fc4ce6449
1 changed files with 2 additions and 2 deletions
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4
unsupported/Eigen/src/MatrixFunctions/MatrixPower.h
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@ -299,7 +299,7 @@ MatrixPowerAtomic<MatrixType>::computeSuperDiag(const ComplexScalar& curr, const
ComplexScalar logCurr = log(curr);
ComplexScalar logPrev = log(prev);
int unwindingNumber = ceil((numext::imag(logCurr - logPrev) - M_PI) / (2*M_PI));
ComplexScalar w = numext::atanh2(curr - prev, curr + prev) + ComplexScalar(0, M_PI*unwindingNumber);
ComplexScalar w = numext::log1p((curr-prev)/prev)/RealScalar(2) + ComplexScalar(0, M_PI*unwindingNumber);
return RealScalar(2) * exp(RealScalar(0.5) * p * (logCurr + logPrev)) * sinh(p * w) / (curr - prev);
}
@ -311,7 +311,7 @@ MatrixPowerAtomic<MatrixType>::computeSuperDiag(RealScalar curr, RealScalar prev
using std::log;
using std::sinh;
RealScalar w = numext::atanh2(curr - prev, curr + prev);
RealScalar w = numext::log1p((curr-prev)/prev)/RealScalar(2);
return 2 * exp(p * (log(curr) + log(prev)) / 2) * sinh(p * w) / (curr - prev);
}