AMIPS2drest.hpp

Go to the documentation of this file.

// Auto-generated code for AMIPS2drest energy
#pragma once
#include <Eigen/Dense>
 
namespace polyfem
{
    namespace autogen
    {
        Eigen::Matrix<double, Eigen::Dynamic, Eigen::Dynamic, 0, 3, 3> AMIPS2drest_gradient(const RowVectorNd &p, const double t, const int el_id, const Eigen::Matrix<double, Eigen::Dynamic, Eigen::Dynamic, 0, 3, 3> &F)
        {
            Eigen::Matrix<double, Eigen::Dynamic, Eigen::Dynamic, 0, 3, 3> grad(2, 2);
            const double F00 = F(0, 0);
            const double F01 = F(0, 1);
            const double F10 = F(1, 0);
            const double F11 = F(1, 1);
            std::array<double, 4> result_0;
            const auto helper_0 = 1.0 / (F00 * F11 - F01 * F10);
            const auto helper_1 = helper_0 * (pow(F00, 2) + pow(F01, 2) + pow(F10, 2) + pow(F11, 2));
            result_0[0] = helper_0 * (2 * F00 - F11 * helper_1);
            result_0[1] = helper_0 * (2 * F01 + F10 * helper_1);
            result_0[2] = helper_0 * (F01 * helper_1 + 2 * F10);
            result_0[3] = helper_0 * (-F00 * helper_1 + 2 * F11);
            ;
            grad(0, 0) = result_0[0];
            grad(0, 1) = result_0[1];
            grad(1, 0) = result_0[2];
            grad(1, 1) = result_0[3];
            return grad;
        }
 
        inline Eigen::Matrix<double, Eigen::Dynamic, Eigen::Dynamic, 0, 9, 9> AMIPS2drest_hessian(const RowVectorNd &p, const double t, const int el_id, const Eigen::Matrix<double, Eigen::Dynamic, Eigen::Dynamic, 0, 3, 3> &F)
        {
            Eigen::Matrix<double, Eigen::Dynamic, Eigen::Dynamic, 0, 9, 9> hess(4, 4);
            std::array<double, 16> result_0;
            const double F00 = F(0, 0);
            const double F01 = F(0, 1);
            const double F10 = F(1, 0);
            const double F11 = F(1, 1);
            const auto helper_0 = pow(F11, 2);
            const auto helper_1 = F00 * F11;
            const auto helper_2 = F01 * F10;
            const auto helper_3 = helper_1 - helper_2;
            const auto helper_4 = pow(helper_3, -2);
            const auto helper_5 = pow(F01, 2);
            const auto helper_6 = pow(F10, 2);
            const auto helper_7 = helper_5 + helper_6;
            const auto helper_8 = pow(F00, 2);
            const auto helper_9 = helper_0 + helper_8;
            const auto helper_10 = helper_7 + helper_9;
            const auto helper_11 = helper_10 * helper_4;
            const auto helper_12 = 1.0 / helper_3;
            const auto helper_13 = 2 * helper_12;
            const auto helper_14 = -helper_1 * helper_13 + 1;
            const auto helper_15 = F01 * F11;
            const auto helper_16 = F00 * F10;
            const auto helper_17 = F10 * F11;
            const auto helper_18 = helper_10 * helper_12;
            const auto helper_19 = 2 * helper_4;
            const auto helper_20 = helper_19 * (-helper_15 + helper_16 - helper_17 * helper_18);
            const auto helper_21 = F00 * F01;
            const auto helper_22 = helper_19 * (-helper_15 * helper_18 - helper_17 + helper_21);
            const auto helper_23 = helper_4 * (2 * F00 * F11 * helper_10 * helper_12 - 3 * helper_0 - helper_7 - 3 * helper_8);
            const auto helper_24 = helper_13 * helper_2;
            const auto helper_25 = helper_24 + 1;
            const auto helper_26 = helper_4 * (helper_10 * helper_24 + 3 * helper_5 + 3 * helper_6 + helper_9);
            const auto helper_27 = helper_19 * (-helper_16 * helper_18 + helper_17 - helper_21);
            const auto helper_28 = helper_19 * (helper_15 - helper_16 - helper_18 * helper_21);
            result_0[0] = helper_13 * (helper_0 * helper_11 + helper_14);
            result_0[1] = helper_20;
            result_0[2] = helper_22;
            result_0[3] = helper_23;
            result_0[4] = helper_20;
            result_0[5] = helper_13 * (helper_11 * helper_6 + helper_25);
            result_0[6] = helper_26;
            result_0[7] = helper_27;
            result_0[8] = helper_22;
            result_0[9] = helper_26;
            result_0[10] = helper_13 * (helper_11 * helper_5 + helper_25);
            result_0[11] = helper_28;
            result_0[12] = helper_23;
            result_0[13] = helper_27;
            result_0[14] = helper_28;
            result_0[15] = helper_13 * (helper_11 * helper_8 + helper_14);
            ;
            hess(0, 0) = result_0[0];
            hess(0, 1) = result_0[1];
            hess(0, 2) = result_0[2];
            hess(0, 3) = result_0[3];
            hess(1, 0) = result_0[4];
            hess(1, 1) = result_0[5];
            hess(1, 2) = result_0[6];
            hess(1, 3) = result_0[7];
            hess(2, 0) = result_0[8];
            hess(2, 1) = result_0[9];
            hess(2, 2) = result_0[10];
            hess(2, 3) = result_0[11];
            hess(3, 0) = result_0[12];
            hess(3, 1) = result_0[13];
            hess(3, 2) = result_0[14];
            hess(3, 3) = result_0[15];
            return hess;
        }
    } // namespace autogen
} // namespace polyfem