polyfem/_volume_penalty3d_8hpp_source.html

// Auto-generated code for VolumePenalty3d energy

#pragma once

#include <Eigen/Dense>


namespace polyfem {

    namespace autogen {


        Eigen::Matrix<double, Eigen::Dynamic, Eigen::Dynamic, 0, 3, 3> VolumePenalty3d_gradient(const RowVectorNd &p, const double t, const int el_id, const Eigen::Matrix<double, Eigen::Dynamic, Eigen::Dynamic, 0, 3, 3>& F, const double k) {

            Eigen::Matrix<double, Eigen::Dynamic, Eigen::Dynamic, 0, 3, 3> grad(3,3);

            const double F00 = F(0, 0);

            const double F01 = F(0, 1);

            const double F02 = F(0, 2);

            const double F10 = F(1, 0);

            const double F11 = F(1, 1);

            const double F12 = F(1, 2);

            const double F20 = F(2, 0);

            const double F21 = F(2, 1);

            const double F22 = F(2, 2);

            std::array<double, 9> result_0;

            const auto helper_0 = F11*F22;

const auto helper_1 = F12*F21;

const auto helper_2 = F00*helper_0;

const auto helper_3 = F00*helper_1;

const auto helper_4 = F10*F22;

const auto helper_5 = F01*helper_4;

const auto helper_6 = F12*F20;

const auto helper_7 = F01*helper_6;

const auto helper_8 = F10*F21;

const auto helper_9 = F02*helper_8;

const auto helper_10 = F11*F20;

const auto helper_11 = F02*helper_10;

const auto helper_12 = 0.5*k*(1.0*helper_11 - 1.0*helper_2 + 1.0*helper_3 + 1.0*helper_5 - 1.0*helper_7 - 1.0*helper_9 + 1.0/(-helper_11 + helper_2 - helper_3 - helper_5 + helper_7 + helper_9));

result_0[0] = -helper_12*(helper_0 - helper_1);

result_0[1] = helper_12*(helper_4 - helper_6);

result_0[2] = -helper_12*(-helper_10 + helper_8);

result_0[3] = helper_12*(F01*F22 - F02*F21);

result_0[4] = -helper_12*(F00*F22 - F02*F20);

result_0[5] = helper_12*(F00*F21 - F01*F20);

result_0[6] = -helper_12*(F01*F12 - F02*F11);

result_0[7] = helper_12*(F00*F12 - F02*F10);

result_0[8] = -helper_12*(F00*F11 - F01*F10);;

            grad(0, 0) = result_0[0];

            grad(0, 1) = result_0[1];

            grad(0, 2) = result_0[2];

            grad(1, 0) = result_0[3];

            grad(1, 1) = result_0[4];

            grad(1, 2) = result_0[5];

            grad(2, 0) = result_0[6];

            grad(2, 1) = result_0[7];

            grad(2, 2) = result_0[8];

            return grad;

        }


        inline Eigen::Matrix<double, Eigen::Dynamic, Eigen::Dynamic, 0, 9, 9> VolumePenalty3d_hessian(const RowVectorNd &p, const double t, const int el_id, const Eigen::Matrix<double, Eigen::Dynamic, Eigen::Dynamic, 0, 3, 3>& F, const double k) {

            Eigen::Matrix<double, Eigen::Dynamic, Eigen::Dynamic, 0, 9, 9> hess(9,9);

            std::array<double, 81> result_0;

            const double F00 = F(0, 0);

            const double F01 = F(0, 1);

            const double F02 = F(0, 2);

            const double F10 = F(1, 0);

            const double F11 = F(1, 1);

            const double F12 = F(1, 2);

            const double F20 = F(2, 0);

            const double F21 = F(2, 1);

            const double F22 = F(2, 2);

            const auto helper_0 = F11*F22;

const auto helper_1 = F12*F21;

const auto helper_2 = helper_0 - helper_1;

const auto helper_3 = F12*F20;

const auto helper_4 = F10*F21;

const auto helper_5 = F10*F22;

const auto helper_6 = F11*F20;

const auto helper_7 = F00*helper_0 - F00*helper_1 + F01*helper_3 - F01*helper_5 + F02*helper_4 - F02*helper_6;

const auto helper_8 = pow(helper_7, -2);

const auto helper_9 = 0.5*k;

const auto helper_10 = helper_9*(helper_8 + 1);

const auto helper_11 = -helper_3 + helper_5;

const auto helper_12 = helper_9*(helper_8 + 1.0);

const auto helper_13 = helper_12*helper_2;

const auto helper_14 = -helper_11*helper_13;

const auto helper_15 = helper_4 - helper_6;

const auto helper_16 = helper_10*helper_2;

const auto helper_17 = helper_15*helper_16;

const auto helper_18 = F01*F22 - F02*F21;

const auto helper_19 = -helper_13*helper_18;

const auto helper_20 = F00*F22 - F02*F20;

const auto helper_21 = helper_2*helper_20;

const auto helper_22 = 1.0*helper_7;

const auto helper_23 = F22*helper_22;

const auto helper_24 = 1.0/helper_7;

const auto helper_25 = F22*helper_24;

const auto helper_26 = helper_9*(helper_21*helper_8 + helper_21 + helper_23 - helper_25);

const auto helper_27 = F00*F21 - F01*F20;

const auto helper_28 = helper_2*helper_27;

const auto helper_29 = F21*helper_24;

const auto helper_30 = -helper_9*(F21*helper_22 + helper_28*helper_8 + helper_28 - helper_29);

const auto helper_31 = F01*F12 - F02*F11;

const auto helper_32 = helper_16*helper_31;

const auto helper_33 = F00*F12 - F02*F10;

const auto helper_34 = helper_2*helper_33;

const auto helper_35 = F12*helper_24;

const auto helper_36 = -helper_9*(F12*helper_22 + helper_34*helper_8 + helper_34 - helper_35);

const auto helper_37 = F00*F11 - F01*F10;

const auto helper_38 = helper_2*helper_37;

const auto helper_39 = F11*helper_22;

const auto helper_40 = F11*helper_24;

const auto helper_41 = helper_9*(helper_38*helper_8 + helper_38 + helper_39 - helper_40);

const auto helper_42 = helper_10*helper_11;

const auto helper_43 = -helper_15*helper_42;

const auto helper_44 = helper_11*helper_18;

const auto helper_45 = helper_9*(-helper_23 + helper_25 + helper_44*helper_8 + helper_44);

const auto helper_46 = -helper_20*helper_42;

const auto helper_47 = helper_11*helper_27;

const auto helper_48 = F20*helper_22;

const auto helper_49 = F20*helper_24;

const auto helper_50 = helper_9*(helper_47*helper_8 + helper_47 + helper_48 - helper_49);

const auto helper_51 = helper_11*helper_31;

const auto helper_52 = helper_9*(1.0*F12*helper_7 - helper_35 - helper_51*helper_8 - 1.0*helper_51);

const auto helper_53 = helper_33*helper_42;

const auto helper_54 = helper_11*helper_37;

const auto helper_55 = F10*helper_24;

const auto helper_56 = -helper_9*(F10*helper_22 + helper_54*helper_8 + helper_54 - helper_55);

const auto helper_57 = helper_15*helper_18;

const auto helper_58 = helper_9*(1.0*F21*helper_7 - helper_29 - helper_57*helper_8 - 1.0*helper_57);

const auto helper_59 = helper_15*helper_20;

const auto helper_60 = helper_9*(-helper_48 + helper_49 + helper_59*helper_8 + helper_59);

const auto helper_61 = helper_12*helper_27;

const auto helper_62 = -helper_15*helper_61;

const auto helper_63 = helper_15*helper_31;

const auto helper_64 = helper_9*(-helper_39 + helper_40 + helper_63*helper_8 + helper_63);

const auto helper_65 = helper_15*helper_33;

const auto helper_66 = helper_9*(1.0*F10*helper_7 - helper_55 - helper_65*helper_8 - 1.0*helper_65);

const auto helper_67 = helper_10*helper_37;

const auto helper_68 = helper_15*helper_67;

const auto helper_69 = helper_10*helper_18;

const auto helper_70 = -helper_20*helper_69;

const auto helper_71 = helper_27*helper_69;

const auto helper_72 = -helper_31*helper_69;

const auto helper_73 = helper_18*helper_33;

const auto helper_74 = F02*helper_22;

const auto helper_75 = F02*helper_24;

const auto helper_76 = helper_9*(helper_73*helper_8 + helper_73 + helper_74 - helper_75);

const auto helper_77 = helper_18*helper_37;

const auto helper_78 = F01*helper_24;

const auto helper_79 = -helper_9*(F01*helper_22 + helper_77*helper_8 + helper_77 - helper_78);

const auto helper_80 = -helper_20*helper_61;

const auto helper_81 = helper_20*helper_31;

const auto helper_82 = helper_9*(-helper_74 + helper_75 + helper_8*helper_81 + helper_81);

const auto helper_83 = helper_12*helper_33;

const auto helper_84 = -helper_20*helper_83;

const auto helper_85 = helper_20*helper_37;

const auto helper_86 = F00*helper_22;

const auto helper_87 = F00*helper_24;

const auto helper_88 = helper_9*(helper_8*helper_85 + helper_85 + helper_86 - helper_87);

const auto helper_89 = helper_27*helper_31;

const auto helper_90 = helper_9*(1.0*F01*helper_7 - helper_78 - helper_8*helper_89 - 1.0*helper_89);

const auto helper_91 = helper_27*helper_33;

const auto helper_92 = helper_9*(helper_8*helper_91 - helper_86 + helper_87 + helper_91);

const auto helper_93 = -helper_27*helper_67;

const auto helper_94 = -helper_31*helper_83;

const auto helper_95 = helper_31*helper_67;

const auto helper_96 = -helper_33*helper_67;

result_0[0] = helper_10*pow(helper_2, 2);

result_0[1] = helper_14;

result_0[2] = helper_17;

result_0[3] = helper_19;

result_0[4] = helper_26;

result_0[5] = helper_30;

result_0[6] = helper_32;

result_0[7] = helper_36;

result_0[8] = helper_41;

result_0[9] = helper_14;

result_0[10] = helper_10*pow(helper_11, 2);

result_0[11] = helper_43;

result_0[12] = helper_45;

result_0[13] = helper_46;

result_0[14] = helper_50;

result_0[15] = helper_52;

result_0[16] = helper_53;

result_0[17] = helper_56;

result_0[18] = helper_17;

result_0[19] = helper_43;

result_0[20] = helper_10*pow(helper_15, 2);

result_0[21] = helper_58;

result_0[22] = helper_60;

result_0[23] = helper_62;

result_0[24] = helper_64;

result_0[25] = helper_66;

result_0[26] = helper_68;

result_0[27] = helper_19;

result_0[28] = helper_45;

result_0[29] = helper_58;

result_0[30] = helper_10*pow(helper_18, 2);

result_0[31] = helper_70;

result_0[32] = helper_71;

result_0[33] = helper_72;

result_0[34] = helper_76;

result_0[35] = helper_79;

result_0[36] = helper_26;

result_0[37] = helper_46;

result_0[38] = helper_60;

result_0[39] = helper_70;

result_0[40] = helper_10*pow(helper_20, 2);

result_0[41] = helper_80;

result_0[42] = helper_82;

result_0[43] = helper_84;

result_0[44] = helper_88;

result_0[45] = helper_30;

result_0[46] = helper_50;

result_0[47] = helper_62;

result_0[48] = helper_71;

result_0[49] = helper_80;

result_0[50] = helper_10*pow(helper_27, 2);

result_0[51] = helper_90;

result_0[52] = helper_92;

result_0[53] = helper_93;

result_0[54] = helper_32;

result_0[55] = helper_52;

result_0[56] = helper_64;

result_0[57] = helper_72;

result_0[58] = helper_82;

result_0[59] = helper_90;

result_0[60] = helper_10*pow(helper_31, 2);

result_0[61] = helper_94;

result_0[62] = helper_95;

result_0[63] = helper_36;

result_0[64] = helper_53;

result_0[65] = helper_66;

result_0[66] = helper_76;

result_0[67] = helper_84;

result_0[68] = helper_92;

result_0[69] = helper_94;

result_0[70] = helper_10*pow(helper_33, 2);

result_0[71] = helper_96;

result_0[72] = helper_41;

result_0[73] = helper_56;

result_0[74] = helper_68;

result_0[75] = helper_79;

result_0[76] = helper_88;

result_0[77] = helper_93;

result_0[78] = helper_95;

result_0[79] = helper_96;

result_0[80] = helper_10*pow(helper_37, 2);;

            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(0, 4) = result_0[4];

            hess(0, 5) = result_0[5];

            hess(0, 6) = result_0[6];

            hess(0, 7) = result_0[7];

            hess(0, 8) = result_0[8];

            hess(1, 0) = result_0[9];

            hess(1, 1) = result_0[10];

            hess(1, 2) = result_0[11];

            hess(1, 3) = result_0[12];

            hess(1, 4) = result_0[13];

            hess(1, 5) = result_0[14];

            hess(1, 6) = result_0[15];

            hess(1, 7) = result_0[16];

            hess(1, 8) = result_0[17];

            hess(2, 0) = result_0[18];

            hess(2, 1) = result_0[19];

            hess(2, 2) = result_0[20];

            hess(2, 3) = result_0[21];

            hess(2, 4) = result_0[22];

            hess(2, 5) = result_0[23];

            hess(2, 6) = result_0[24];

            hess(2, 7) = result_0[25];

            hess(2, 8) = result_0[26];

            hess(3, 0) = result_0[27];

            hess(3, 1) = result_0[28];

            hess(3, 2) = result_0[29];

            hess(3, 3) = result_0[30];

            hess(3, 4) = result_0[31];

            hess(3, 5) = result_0[32];

            hess(3, 6) = result_0[33];

            hess(3, 7) = result_0[34];

            hess(3, 8) = result_0[35];

            hess(4, 0) = result_0[36];

            hess(4, 1) = result_0[37];

            hess(4, 2) = result_0[38];

            hess(4, 3) = result_0[39];

            hess(4, 4) = result_0[40];

            hess(4, 5) = result_0[41];

            hess(4, 6) = result_0[42];

            hess(4, 7) = result_0[43];

            hess(4, 8) = result_0[44];

            hess(5, 0) = result_0[45];

            hess(5, 1) = result_0[46];

            hess(5, 2) = result_0[47];

            hess(5, 3) = result_0[48];

            hess(5, 4) = result_0[49];

            hess(5, 5) = result_0[50];

            hess(5, 6) = result_0[51];

            hess(5, 7) = result_0[52];

            hess(5, 8) = result_0[53];

            hess(6, 0) = result_0[54];

            hess(6, 1) = result_0[55];

            hess(6, 2) = result_0[56];

            hess(6, 3) = result_0[57];

            hess(6, 4) = result_0[58];

            hess(6, 5) = result_0[59];

            hess(6, 6) = result_0[60];

            hess(6, 7) = result_0[61];

            hess(6, 8) = result_0[62];

            hess(7, 0) = result_0[63];

            hess(7, 1) = result_0[64];

            hess(7, 2) = result_0[65];

            hess(7, 3) = result_0[66];

            hess(7, 4) = result_0[67];

            hess(7, 5) = result_0[68];

            hess(7, 6) = result_0[69];

            hess(7, 7) = result_0[70];

            hess(7, 8) = result_0[71];

            hess(8, 0) = result_0[72];

            hess(8, 1) = result_0[73];

            hess(8, 2) = result_0[74];

            hess(8, 3) = result_0[75];

            hess(8, 4) = result_0[76];

            hess(8, 5) = result_0[77];

            hess(8, 6) = result_0[78];

            hess(8, 7) = result_0[79];

            hess(8, 8) = result_0[80];

            return hess;

        }


    }

}

polyfem::autogen::VolumePenalty3d_gradient
Eigen::Matrix< double, Eigen::Dynamic, Eigen::Dynamic, 0, 3, 3 > VolumePenalty3d_gradient(const RowVectorNd &p, const double t, const int el_id, const Eigen::Matrix< double, Eigen::Dynamic, Eigen::Dynamic, 0, 3, 3 > &F, const double k)
Definition VolumePenalty3d.hpp:7

polyfem::autogen::VolumePenalty3d_hessian
Eigen::Matrix< double, Eigen::Dynamic, Eigen::Dynamic, 0, 9, 9 > VolumePenalty3d_hessian(const RowVectorNd &p, const double t, const int el_id, const Eigen::Matrix< double, Eigen::Dynamic, Eigen::Dynamic, 0, 3, 3 > &F, const double k)
Definition VolumePenalty3d.hpp:53

polyfem
Definition ActiveFiber.cpp:4

polyfem::ElasticityTensorType::F
@ F

polyfem::RowVectorNd
Eigen::Matrix< double, 1, Eigen::Dynamic, Eigen::RowMajor, 1, 3 > RowVectorNd
Definition Types.hpp:13