1 /// @file 2 /// Test assembly of mass matrix operator point block diagonal 3 /// \test Test assembly of mass matrix operator point block diagonal 4 #include <ceed.h> 5 #include <stdlib.h> 6 #include <math.h> 7 #include "t537-operator.h" 8 9 int main(int argc, char **argv) { 10 Ceed ceed; 11 CeedElemRestriction Erestrictx, Erestrictu, 12 Erestrictui; 13 CeedBasis bx, bu; 14 CeedQFunction qf_setup, qf_mass; 15 CeedOperator op_setup, op_mass; 16 CeedVector qdata, X, A, U, V; 17 CeedInt nelem = 6, P = 3, Q = 4, dim = 2, ncomp = 2; 18 CeedInt nx = 3, ny = 2; 19 CeedInt ndofs = (nx*2+1)*(ny*2+1), nqpts = nelem*Q*Q; 20 CeedInt indx[nelem*P*P]; 21 CeedScalar x[dim*ndofs], assembledTrue[ncomp*ncomp*ndofs]; 22 CeedScalar *u; 23 const CeedScalar *a, *v; 24 25 CeedInit(argv[1], &ceed); 26 27 // DoF Coordinates 28 for (CeedInt i=0; i<nx*2+1; i++) 29 for (CeedInt j=0; j<ny*2+1; j++) { 30 x[i+j*(nx*2+1)+0*ndofs] = (CeedScalar) i / (2*nx); 31 x[i+j*(nx*2+1)+1*ndofs] = (CeedScalar) j / (2*ny); 32 } 33 CeedVectorCreate(ceed, dim*ndofs, &X); 34 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 35 36 // Qdata Vector 37 CeedVectorCreate(ceed, nqpts, &qdata); 38 39 // Element Setup 40 for (CeedInt i=0; i<nelem; i++) { 41 CeedInt col, row, offset; 42 col = i % nx; 43 row = i / nx; 44 offset = col*(P-1) + row*(nx*2+1)*(P-1); 45 for (CeedInt j=0; j<P; j++) 46 for (CeedInt k=0; k<P; k++) 47 indx[P*(P*i+k)+j] = offset + k*(nx*2+1) + j; 48 } 49 50 // Restrictions 51 CeedElemRestrictionCreate(ceed, nelem, P*P, dim, ndofs, dim*ndofs, 52 CEED_MEM_HOST, CEED_USE_POINTER, indx, &Erestrictx); 53 CeedElemRestrictionCreate(ceed, nelem, P*P, ncomp, ndofs, ncomp*ndofs, 54 CEED_MEM_HOST, CEED_USE_POINTER, indx, &Erestrictu); 55 CeedInt stridesu[3] = {1, Q*Q, Q*Q}; 56 CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, 1, nqpts, stridesu, 57 &Erestrictui); 58 59 // Bases 60 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &bx); 61 CeedBasisCreateTensorH1Lagrange(ceed, dim, ncomp, P, Q, CEED_GAUSS, &bu); 62 63 // QFunctions 64 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); 65 CeedQFunctionAddInput(qf_setup, "_weight", 1, CEED_EVAL_WEIGHT); 66 CeedQFunctionAddInput(qf_setup, "dx", dim*dim, CEED_EVAL_GRAD); 67 CeedQFunctionAddOutput(qf_setup, "rho", 1, CEED_EVAL_NONE); 68 69 CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass); 70 CeedQFunctionAddInput(qf_mass, "rho", 1, CEED_EVAL_NONE); 71 CeedQFunctionAddInput(qf_mass, "u", ncomp, CEED_EVAL_INTERP); 72 CeedQFunctionAddOutput(qf_mass, "v", ncomp, CEED_EVAL_INTERP); 73 74 // Operators 75 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 76 &op_setup); 77 CeedOperatorSetField(op_setup, "_weight", CEED_ELEMRESTRICTION_NONE, bx, 78 CEED_VECTOR_NONE); 79 CeedOperatorSetField(op_setup, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE); 80 CeedOperatorSetField(op_setup, "rho", Erestrictui, CEED_BASIS_COLLOCATED, 81 CEED_VECTOR_ACTIVE); 82 83 CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 84 &op_mass); 85 CeedOperatorSetField(op_mass, "rho", Erestrictui, CEED_BASIS_COLLOCATED, 86 qdata); 87 CeedOperatorSetField(op_mass, "u", Erestrictu, bu, CEED_VECTOR_ACTIVE); 88 CeedOperatorSetField(op_mass, "v", Erestrictu, bu, CEED_VECTOR_ACTIVE); 89 90 // Apply Setup Operator 91 CeedOperatorApply(op_setup, X, qdata, CEED_REQUEST_IMMEDIATE); 92 93 // Assemble diagonal 94 CeedVectorCreate(ceed, ncomp*ncomp*ndofs, &A); 95 CeedOperatorLinearAssemblePointBlockDiagonal(op_mass, A, 96 CEED_REQUEST_IMMEDIATE); 97 98 // Manually assemble diagonal 99 CeedVectorCreate(ceed, ncomp*ndofs, &U); 100 CeedVectorSetValue(U, 0.0); 101 CeedVectorCreate(ceed, ncomp*ndofs, &V); 102 for (int i=0; i<ncomp*ncomp*ndofs; i++) 103 assembledTrue[i] = 0.0; 104 CeedInt indOld = -1; 105 for (int i=0; i<ndofs; i++) { 106 for (int j=0; j<ncomp; j++) { 107 // Set input 108 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 109 CeedInt ind = i + j*ndofs; 110 u[ind] = 1.0; 111 if (ind > 0) 112 u[indOld] = 0.0; 113 indOld = ind; 114 CeedVectorRestoreArray(U, &u); 115 116 // Compute effect of DoF i, comp j 117 CeedOperatorApply(op_mass, U, V, CEED_REQUEST_IMMEDIATE); 118 119 // Retrieve entry 120 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 121 for (int k = 0; k<ncomp; k++) 122 assembledTrue[i*ncomp*ncomp + k*ncomp + j] += v[i + k*ndofs]; 123 CeedVectorRestoreArrayRead(V, &v); 124 } 125 } 126 127 // Check output 128 CeedVectorGetArrayRead(A, CEED_MEM_HOST, &a); 129 for (int i=0; i<ncomp*ncomp*ndofs; i++) 130 if (fabs(a[i] - assembledTrue[i]) > 1e-14) 131 // LCOV_EXCL_START 132 printf("[%d] Error in assembly: %f != %f\n", i, a[i], assembledTrue[i]); 133 // LCOV_EXCL_STOP 134 CeedVectorRestoreArrayRead(A, &a); 135 136 // Cleanup 137 CeedQFunctionDestroy(&qf_setup); 138 CeedQFunctionDestroy(&qf_mass); 139 CeedOperatorDestroy(&op_setup); 140 CeedOperatorDestroy(&op_mass); 141 CeedElemRestrictionDestroy(&Erestrictu); 142 CeedElemRestrictionDestroy(&Erestrictx); 143 CeedElemRestrictionDestroy(&Erestrictui); 144 CeedBasisDestroy(&bu); 145 CeedBasisDestroy(&bx); 146 CeedVectorDestroy(&X); 147 CeedVectorDestroy(&A); 148 CeedVectorDestroy(&qdata); 149 CeedVectorDestroy(&U); 150 CeedVectorDestroy(&V); 151 CeedDestroy(&ceed); 152 return 0; 153 } 154