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Add power operator to AutoDiffBlock
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@ -622,6 +622,30 @@ namespace Opm
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return rhs * lhs; // Commutative operation.
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}
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/**
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* @brief Computes the value of base raised to the power of exp
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*
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* @param base The AD forward block
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* @param exp exponent
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* @return The value of base raised to the power of exp
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*/
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template <typename Scalar>
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AutoDiffBlock<Scalar> pow(const AutoDiffBlock<Scalar>& base,
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const double exp)
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{
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const typename AutoDiffBlock<Scalar>::V val = base.value().pow(exp);
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const typename AutoDiffBlock<Scalar>::V derivative = exp * base.value().pow(exp-1.0);
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const typename AutoDiffBlock<Scalar>::M derivative_diag(derivative.matrix().asDiagonal());
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std::vector< typename AutoDiffBlock<Scalar>::M > jac (base.numBlocks());
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for (int block = 0; block < base.numBlocks(); block++) {
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fastSparseProduct(derivative_diag, base.derivative()[block], jac[block]);
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}
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return AutoDiffBlock<Scalar>::function( std::move(val), std::move(jac) );
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}
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} // namespace Opm
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@ -283,3 +283,45 @@ BOOST_AUTO_TEST_CASE(AssignAddSubtractOperators)
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z += x;
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checkClose(z, yconst, tolerance);
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}
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BOOST_AUTO_TEST_CASE(Pow)
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{
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typedef AutoDiffBlock<double> ADB;
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// Basic testing of derivatives
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ADB::V vx(3);
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vx << 0.2, 1.2, 13.4;
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ADB::V vy(3);
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vy << 1.0, 2.2, 3.4;
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std::vector<ADB::V> vals{ vx, vy };
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std::vector<ADB> vars = ADB::variables(vals);
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const ADB x = vars[0];
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const ADB y = vars[1];
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const double tolerance = 1e-14;
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const ADB xx = x * x;
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ADB xxpow2 = Opm::pow(x,2.0);
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checkClose(xxpow2, xx, tolerance);
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const ADB xy = x * y;
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const ADB xxyy = xy * xy;
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ADB xypow2 = Opm::pow(xy,2.0);
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checkClose(xypow2, xxyy, tolerance);
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const ADB xxx = x * x * x;
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ADB xpow3 = Opm::pow(x,3.0);
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checkClose(xpow3, xxx, tolerance);
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ADB xpowhalf = Opm::pow(x,0.5);
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ADB::V x_sqrt(3);
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x_sqrt << 0.447214 , 1.095445 , 3.6606;
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for (int i = 0 ; i < 3; ++i){
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BOOST_CHECK_CLOSE(xpowhalf.value()[i], x_sqrt[i], 1e-4);
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}
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}
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