1*9ba83ac0SJeremy L Thompson // Copyright (c) 2017-2026, Lawrence Livermore National Security, LLC and other CEED contributors. 21b95d8c6SJeremy L Thompson // All Rights Reserved. See the top-level LICENSE and NOTICE files for details. 31b95d8c6SJeremy L Thompson // 41b95d8c6SJeremy L Thompson // SPDX-License-Identifier: BSD-2-Clause 51b95d8c6SJeremy L Thompson // 61b95d8c6SJeremy L Thompson // This file is part of CEED: http://github.com/ceed 71b95d8c6SJeremy L Thompson 81b95d8c6SJeremy L Thompson #include <ceed/types.h> 91b95d8c6SJeremy L Thompson 101b95d8c6SJeremy L Thompson CEED_QFUNCTION(setup)(void *ctx, const CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 111b95d8c6SJeremy L Thompson // At every quadrature point, compute qw/det(J).adj(J).adj(J)^T and store 121b95d8c6SJeremy L Thompson // the symmetric part of the result. 131b95d8c6SJeremy L Thompson 141b95d8c6SJeremy L Thompson // in[0] is Jacobians with shape [2, nc=2, Q] 151b95d8c6SJeremy L Thompson // in[1] is quadrature weights, size (Q) 161b95d8c6SJeremy L Thompson const CeedScalar *J = in[0], *qw = in[1]; 171b95d8c6SJeremy L Thompson 181b95d8c6SJeremy L Thompson // out[0] is qdata, size (Q) 191b95d8c6SJeremy L Thompson CeedScalar *qd = out[0]; 201b95d8c6SJeremy L Thompson 211b95d8c6SJeremy L Thompson // Quadrature point loop 221b95d8c6SJeremy L Thompson for (CeedInt i = 0; i < Q; i++) { 231b95d8c6SJeremy L Thompson // J: 0 2 qd: 0 2 adj(J): J22 -J12 241b95d8c6SJeremy L Thompson // 1 3 2 1 -J21 J11 251b95d8c6SJeremy L Thompson const CeedScalar J11 = J[i + Q * 0]; 261b95d8c6SJeremy L Thompson const CeedScalar J21 = J[i + Q * 1]; 271b95d8c6SJeremy L Thompson const CeedScalar J12 = J[i + Q * 2]; 281b95d8c6SJeremy L Thompson const CeedScalar J22 = J[i + Q * 3]; 291b95d8c6SJeremy L Thompson const CeedScalar w = qw[i] / (J11 * J22 - J21 * J12); 301b95d8c6SJeremy L Thompson qd[i + Q * 0] = w * (J12 * J12 + J22 * J22); 311b95d8c6SJeremy L Thompson qd[i + Q * 2] = w * (J11 * J11 + J21 * J21); 321b95d8c6SJeremy L Thompson qd[i + Q * 1] = -w * (J11 * J12 + J21 * J22); 331b95d8c6SJeremy L Thompson } 341b95d8c6SJeremy L Thompson 351b95d8c6SJeremy L Thompson return 0; 361b95d8c6SJeremy L Thompson } 371b95d8c6SJeremy L Thompson 381b95d8c6SJeremy L Thompson CEED_QFUNCTION(diff)(void *ctx, const CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 391b95d8c6SJeremy L Thompson CeedInt num_comp = *(CeedInt *)ctx; 401b95d8c6SJeremy L Thompson // in[0] is gradient u, shape [2, nc=1, Q] 411b95d8c6SJeremy L Thompson // in[1] is quadrature data, size (3*Q) 421b95d8c6SJeremy L Thompson const CeedScalar *du = in[0], *qd = in[1]; 431b95d8c6SJeremy L Thompson 441b95d8c6SJeremy L Thompson // out[0] is output to multiply against gradient v, shape [2, nc=1, Q] 451b95d8c6SJeremy L Thompson CeedScalar *dv = out[0]; 461b95d8c6SJeremy L Thompson 471b95d8c6SJeremy L Thompson // Quadrature point loop 481b95d8c6SJeremy L Thompson for (CeedInt i = 0; i < Q; i++) { 491b95d8c6SJeremy L Thompson for (CeedInt c = 0; c < num_comp; c++) { 501b95d8c6SJeremy L Thompson const CeedScalar du0 = du[i + Q * (2 * c + 0)]; 511b95d8c6SJeremy L Thompson const CeedScalar du1 = du[i + Q * (2 * c + 1)]; 521b95d8c6SJeremy L Thompson 531b95d8c6SJeremy L Thompson dv[i + Q * (2 * c + 0)] = qd[i + Q * 0] * du0 + qd[i + Q * 2] * du1; 541b95d8c6SJeremy L Thompson dv[i + Q * (2 * c + 1)] = qd[i + Q * 2] * du0 + qd[i + Q * 1] * du1; 551b95d8c6SJeremy L Thompson } 561b95d8c6SJeremy L Thompson } 571b95d8c6SJeremy L Thompson 581b95d8c6SJeremy L Thompson return 0; 591b95d8c6SJeremy L Thompson } 60