1 static char help[] = "Tests MATHTOOL with a derived htool::IMatrix<PetscScalar> class\n\n"; 2 3 #include <petscmat.h> 4 #include <htool/misc/petsc.hpp> 5 6 static PetscErrorCode GenEntries(PetscInt sdim, PetscInt M, PetscInt N, const PetscInt *J, const PetscInt *K, PetscScalar *ptr, void *ctx) 7 { 8 PetscInt d, j, k; 9 PetscReal diff = 0.0, *coords = (PetscReal *)(ctx); 10 11 PetscFunctionBeginUser; 12 for (j = 0; j < M; j++) { 13 for (k = 0; k < N; k++) { 14 diff = 0.0; 15 for (d = 0; d < sdim; d++) diff += (coords[J[j] * sdim + d] - coords[K[k] * sdim + d]) * (coords[J[j] * sdim + d] - coords[K[k] * sdim + d]); 16 ptr[j + M * k] = 1.0 / (1.0e-2 + PetscSqrtReal(diff)); 17 } 18 } 19 PetscFunctionReturn(PETSC_SUCCESS); 20 } 21 class MyIMatrix : public htool::VirtualGenerator<PetscScalar> { 22 private: 23 PetscReal *coords; 24 PetscInt sdim; 25 26 public: 27 MyIMatrix(PetscInt M, PetscInt N, PetscInt spacedim, PetscReal *gcoords) : htool::VirtualGenerator<PetscScalar>(M, N), coords(gcoords), sdim(spacedim) { } 28 29 void copy_submatrix(PetscInt M, PetscInt N, const PetscInt *J, const PetscInt *K, PetscScalar *ptr) const override 30 { 31 PetscReal diff = 0.0; 32 33 PetscFunctionBeginUser; 34 for (PetscInt j = 0; j < M; j++) /* could be optimized by the user how they see fit, e.g., vectorization */ 35 for (PetscInt k = 0; k < N; k++) { 36 diff = 0.0; 37 for (PetscInt d = 0; d < sdim; d++) diff += (coords[J[j] * sdim + d] - coords[K[k] * sdim + d]) * (coords[J[j] * sdim + d] - coords[K[k] * sdim + d]); 38 ptr[j + M * k] = 1.0 / (1.0e-2 + PetscSqrtReal(diff)); 39 } 40 PetscFunctionReturnVoid(); 41 } 42 }; 43 44 int main(int argc, char **argv) 45 { 46 Mat A, B, P, R; 47 PetscInt m = 100, dim = 3, M, begin = 0; 48 PetscMPIInt size; 49 PetscReal *coords, *gcoords, norm, epsilon, relative; 50 PetscBool sym = PETSC_FALSE; 51 PetscRandom rdm; 52 MatHtoolKernelFn *kernel = GenEntries; 53 MyIMatrix *imatrix; 54 55 PetscFunctionBeginUser; 56 PetscCall(PetscInitialize(&argc, &argv, (char *)NULL, help)); 57 PetscCall(PetscOptionsGetInt(NULL, NULL, "-m_local", &m, NULL)); 58 PetscCall(PetscOptionsGetInt(NULL, NULL, "-dim", &dim, NULL)); 59 PetscCall(PetscOptionsGetBool(NULL, NULL, "-symmetric", &sym, NULL)); 60 PetscCall(PetscOptionsGetReal(NULL, NULL, "-mat_htool_epsilon", &epsilon, NULL)); 61 PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD, &size)); 62 M = size * m; 63 PetscCall(PetscOptionsGetInt(NULL, NULL, "-M", &M, NULL)); 64 PetscCall(PetscMalloc1(m * dim, &coords)); 65 PetscCall(PetscRandomCreate(PETSC_COMM_WORLD, &rdm)); 66 PetscCall(PetscRandomGetValuesReal(rdm, m * dim, coords)); 67 PetscCall(PetscCalloc1(M * dim, &gcoords)); 68 PetscCallMPI(MPI_Exscan(&m, &begin, 1, MPIU_INT, MPI_SUM, PETSC_COMM_WORLD)); 69 PetscCall(PetscArraycpy(gcoords + begin * dim, coords, m * dim)); 70 PetscCall(MPIU_Allreduce(MPI_IN_PLACE, gcoords, M * dim, MPIU_REAL, MPI_SUM, PETSC_COMM_WORLD)); 71 imatrix = new MyIMatrix(M, M, dim, gcoords); 72 PetscCall(MatCreateHtoolFromKernel(PETSC_COMM_WORLD, m, m, M, M, dim, coords, coords, NULL, imatrix, &A)); /* block-wise assembly using htool::IMatrix<PetscScalar>::copy_submatrix() */ 73 PetscCall(MatSetOption(A, MAT_SYMMETRIC, sym)); 74 PetscCall(MatSetFromOptions(A)); 75 PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY)); 76 PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY)); 77 PetscCall(MatViewFromOptions(A, NULL, "-A_view")); 78 PetscCall(MatCreateHtoolFromKernel(PETSC_COMM_WORLD, m, m, M, M, dim, coords, coords, kernel, gcoords, &B)); /* entry-wise assembly using GenEntries() */ 79 PetscCall(MatSetOption(B, MAT_SYMMETRIC, sym)); 80 PetscCall(MatSetFromOptions(B)); 81 PetscCall(MatAssemblyBegin(B, MAT_FINAL_ASSEMBLY)); 82 PetscCall(MatAssemblyEnd(B, MAT_FINAL_ASSEMBLY)); 83 PetscCall(MatViewFromOptions(B, NULL, "-B_view")); 84 PetscCall(MatConvert(A, MATDENSE, MAT_INITIAL_MATRIX, &P)); 85 PetscCall(MatNorm(P, NORM_FROBENIUS, &relative)); 86 PetscCall(MatConvert(B, MATDENSE, MAT_INITIAL_MATRIX, &R)); 87 PetscCall(MatAXPY(R, -1.0, P, SAME_NONZERO_PATTERN)); 88 PetscCall(MatNorm(R, NORM_INFINITY, &norm)); 89 PetscCheck(PetscAbsReal(norm / relative) <= epsilon, PETSC_COMM_WORLD, PETSC_ERR_PLIB, "||A(!symmetric)-A(symmetric)|| = %g (> %g)", (double)PetscAbsReal(norm / relative), (double)epsilon); 90 PetscCall(MatDestroy(&B)); 91 PetscCall(MatDestroy(&R)); 92 PetscCall(MatDestroy(&P)); 93 PetscCall(PetscRandomDestroy(&rdm)); 94 PetscCall(MatDestroy(&A)); 95 PetscCall(PetscFree(gcoords)); 96 PetscCall(PetscFree(coords)); 97 delete imatrix; 98 PetscCall(PetscFinalize()); 99 return 0; 100 } 101 102 /*TEST 103 104 build: 105 requires: htool 106 test: 107 requires: htool 108 nsize: 4 109 args: -m_local 120 -mat_htool_epsilon 1.0e-2 -symmetric {{false true}shared output} 110 111 TEST*/ 112