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Handle NaN inputs to atan2.
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@ -521,19 +521,21 @@ struct scalar_atan2_op {
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE std::enable_if_t<is_same<LhsScalar,RhsScalar>::value, Packet> packetOp(const Packet& y,
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const Packet& x) const {
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// See https://en.cppreference.com/w/cpp/numeric/math/atan2
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// for how corner cases are supposed to be handles according to the
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// for how corner cases are supposed to be handled according to the
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// IEEE floating-point standard (IEC 60559).
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constexpr Scalar k3PiO3f = Scalar(3 * (EIGEN_PI / 4));
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const Packet kSignMask = pset1<Packet>(Scalar(-0.0));
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const Packet kPi = pset1<Packet>(Scalar(EIGEN_PI));
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const Packet kPiO2 = pset1<Packet>(Scalar(EIGEN_PI / 2));
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const Packet kPiO4 = pset1<Packet>(Scalar(EIGEN_PI / 4));
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const Packet k3PiO4 = pset1<Packet>(k3PiO3f);
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constexpr Scalar k3PiO4f = Scalar(3.0 * (EIGEN_PI / 4));
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const Packet k3PiO4 = pset1<Packet>(k3PiO4f);
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Packet x_neg = pcmp_lt(x, pzero(x));
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Packet x_sign = pand(x, kSignMask);
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Packet y_sign = pand(y, kSignMask);
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Packet x_zero = pcmp_eq(x, pzero(x));
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Packet y_zero = pcmp_eq(y, pzero(y));
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Packet x_is_not_nan = pcmp_eq(x, x);
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Packet y_is_not_nan = pcmp_eq(y, y);
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// Compute the normal case. Notice that we expect that
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// finite/infinite = +/-0 here.
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@ -554,7 +556,9 @@ struct scalar_atan2_op {
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result = pselect(y_zero,
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pselect(x_sign, por(y_sign, kPi), por(y_sign, pzero(y))),
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result);
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return result;
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// Handle NaN inputs.
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Packet kQNaN = pset1<Packet>(NumTraits<Scalar>::quiet_NaN());
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return pselect(pand(x_is_not_nan, y_is_not_nan), result, kQNaN);
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}
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};
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