diff options
Diffstat (limited to 'src/qms.c')
| -rw-r--r-- | src/qms.c | 965 |
1 files changed, 965 insertions, 0 deletions
diff --git a/src/qms.c b/src/qms.c new file mode 100644 index 0000000..7332017 --- /dev/null +++ b/src/qms.c @@ -0,0 +1,965 @@ +#include <ctype.h> +#include <errno.h> +#include <float.h> +#include <inttypes.h> +#include <limits.h> +#include <math.h> +#include <stdio.h> +#include <stdlib.h> +#include <string.h> + +#include <cblas.h> +#include <lapacke.h> + +#include <cl.h> +#include <clBLAS.h> + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Parameters.h" +#include "cctk_Timers.h" +#include "util_Table.h" + +#include "qms.h" + +#define ACC_TEST 0 + +double scale_factor; + +/* mapping between our indices and thorn names */ +static const char *metric_vars[] = { +#if CCZ4 + [GTXX] = "ML_CCZ4::gt11", + [GTYY] = "ML_CCZ4::gt22", + [GTZZ] = "ML_CCZ4::gt33", + [GTXY] = "ML_CCZ4::gt12", + [GTXZ] = "ML_CCZ4::gt13", + [GTYZ] = "ML_CCZ4::gt23", + [ATXX] = "ML_CCZ4::At11", + [ATYY] = "ML_CCZ4::At22", + [ATZZ] = "ML_CCZ4::At33", + [ATXY] = "ML_CCZ4::At12", + [ATXZ] = "ML_CCZ4::At13", + [ATYZ] = "ML_CCZ4::At23", + [PHI] = "ML_CCZ4::phi", + [K] = "ML_CCZ4::trK", + [XTX] = "ML_CCZ4::Xt1", + [XTY] = "ML_CCZ4::Xt2", + [XTZ] = "ML_CCZ4::Xt3", + [BETAX] = "ML_CCZ4::beta1", + [BETAY] = "ML_CCZ4::beta2", + [BETAZ] = "ML_CCZ4::beta3", + [ALPHA] = "ML_CCZ4::alpha", + [KDOT_XX] = "ML_CCZ4::Kdot11", + [KDOT_YY] = "ML_CCZ4::Kdot22", + [KDOT_ZZ] = "ML_CCZ4::Kdot33", + [KDOT_XY] = "ML_CCZ4::Kdot12", + [KDOT_XZ] = "ML_CCZ4::Kdot13", + [KDOT_YZ] = "ML_CCZ4::Kdot23", + [XTDOT_X] = "ML_CCZ4::Xtdot1", + [XTDOT_Y] = "ML_CCZ4::Xtdot2", + [XTDOT_Z] = "ML_CCZ4::Xtdot3", + [PHIDOT] = "ML_CCZ4::phidot", +#else + [GTXX] = "ML_BSSN::gt11", + [GTYY] = "ML_BSSN::gt22", + [GTZZ] = "ML_BSSN::gt33", + [GTXY] = "ML_BSSN::gt12", + [GTXZ] = "ML_BSSN::gt13", + [GTYZ] = "ML_BSSN::gt23", + [ATXX] = "ML_BSSN::At11", + [ATYY] = "ML_BSSN::At22", + [ATZZ] = "ML_BSSN::At33", + [ATXY] = "ML_BSSN::At12", + [ATXZ] = "ML_BSSN::At13", + [ATYZ] = "ML_BSSN::At23", + [PHI] = "ML_BSSN::phi", + [K] = "ML_BSSN::trK", + [XTX] = "ML_BSSN::Xt1", + [XTY] = "ML_BSSN::Xt2", + [XTZ] = "ML_BSSN::Xt3", + [BETAX] = "ML_BSSN::beta1", + [BETAY] = "ML_BSSN::beta2", + [BETAZ] = "ML_BSSN::beta3", + [ALPHA] = "ML_BSSN::alpha", + //[ALPHA] = "ADMBase::alp", + [KDOT_XX] = "ML_BSSN::Kdot11", + [KDOT_YY] = "ML_BSSN::Kdot22", + [KDOT_ZZ] = "ML_BSSN::Kdot33", + [KDOT_XY] = "ML_BSSN::Kdot12", + [KDOT_XZ] = "ML_BSSN::Kdot13", + [KDOT_YZ] = "ML_BSSN::Kdot23", + [XTDOT_X] = "ML_BSSN::Xtdot1", + [XTDOT_Y] = "ML_BSSN::Xtdot2", + [XTDOT_Z] = "ML_BSSN::Xtdot3", + [PHIDOT] = "ML_BSSN::phidot", +#endif +}; + +/* mapping between the cactus grid values and interpolated values */ +static const CCTK_INT interp_operation_indices[] = { + [I_GTXX] = GTXX, + [I_GTYY] = GTYY, + [I_GTZZ] = GTZZ, + [I_GTXY] = GTXY, + [I_GTXZ] = GTXZ, + [I_GTYZ] = GTYZ, + [I_PHI] = PHI, + [I_PHI_DX] = PHI, + [I_PHI_DY] = PHI, + [I_PHI_DZ] = PHI, + [I_ATXX] = ATXX, + [I_ATYY] = ATYY, + [I_ATZZ] = ATZZ, + [I_ATXY] = ATXY, + [I_ATXZ] = ATXZ, + [I_ATYZ] = ATYZ, + [I_K] = K, + [I_K_DX] = K, + [I_K_DY] = K, + [I_K_DZ] = K, + [I_XTX] = XTX, + [I_XTY] = XTY, + [I_XTZ] = XTZ, + [I_BETAX] = BETAX, + [I_BETAY] = BETAY, + [I_BETAZ] = BETAZ, + [I_ALPHA] = ALPHA, + [I_ALPHA_DX] = ALPHA, + [I_ALPHA_DY] = ALPHA, + [I_ALPHA_DZ] = ALPHA, + [I_ALPHA_DXX] = ALPHA, + [I_ALPHA_DYY] = ALPHA, + [I_ALPHA_DZZ] = ALPHA, + [I_ALPHA_DXY] = ALPHA, + [I_ALPHA_DXZ] = ALPHA, + [I_ALPHA_DYZ] = ALPHA, + [I_KDOT_XX] = KDOT_XX, + [I_KDOT_YY] = KDOT_YY, + [I_KDOT_ZZ] = KDOT_ZZ, + [I_KDOT_XY] = KDOT_XY, + [I_KDOT_XZ] = KDOT_XZ, + [I_KDOT_YZ] = KDOT_YZ, + [I_XTDOT_X] = XTDOT_X, + [I_XTDOT_Y] = XTDOT_Y, + [I_XTDOT_Z] = XTDOT_Z, + [I_PHIDOT] = PHIDOT, + [I_PHIDOT_DX] = PHIDOT, + [I_PHIDOT_DY] = PHIDOT, + [I_PHIDOT_DZ] = PHIDOT, +}; + +/* the operation (plain value or x/y/z-derivative) to apply during interpolation */ +static const CCTK_INT interp_operation_codes[] = { + [I_GTXX] = 0, + [I_GTYY] = 0, + [I_GTZZ] = 0, + [I_GTXY] = 0, + [I_GTXZ] = 0, + [I_GTYZ] = 0, + [I_PHI] = 0, + [I_PHI_DX] = 1, + [I_PHI_DY] = 2, + [I_PHI_DZ] = 3, + [I_ATXX] = 0, + [I_ATYY] = 0, + [I_ATZZ] = 0, + [I_ATXY] = 0, + [I_ATXZ] = 0, + [I_ATYZ] = 0, + [I_K] = 0, + [I_K_DX] = 1, + [I_K_DY] = 2, + [I_K_DZ] = 3, + [I_XTX] = 0, + [I_XTY] = 0, + [I_XTZ] = 0, + [I_BETAX] = 0, + [I_BETAY] = 0, + [I_BETAZ] = 0, + [I_ALPHA] = 0, + [I_ALPHA_DX] = 1, + [I_ALPHA_DY] = 2, + [I_ALPHA_DZ] = 3, + [I_ALPHA_DXX] = 11, + [I_ALPHA_DYY] = 22, + [I_ALPHA_DZZ] = 33, + [I_ALPHA_DXY] = 12, + [I_ALPHA_DXZ] = 13, + [I_ALPHA_DYZ] = 23, + [I_KDOT_XX] = 0, + [I_KDOT_YY] = 0, + [I_KDOT_ZZ] = 0, + [I_KDOT_XY] = 0, + [I_KDOT_XZ] = 0, + [I_KDOT_YZ] = 0, + [I_XTDOT_X] = 0, + [I_XTDOT_Y] = 0, + [I_XTDOT_Z] = 0, + [I_PHIDOT] = 0, + [I_PHIDOT_DX] = 1, + [I_PHIDOT_DY] = 2, + [I_PHIDOT_DZ] = 3, +}; + +static void init_opencl(MaximalSlicingContext *ms) +{ + int err, count; + cl_platform_id platform; + cl_context_properties props[3]; + + err = clGetPlatformIDs(1, &platform, &count); + if (err != CL_SUCCESS || count < 1) { + fprintf(stderr, "Could not get an OpenCL platform ID\n"); + return; + } + + err = clGetDeviceIDs(platform, CL_DEVICE_TYPE_GPU, 1, &ms->ocl_device, &count); + if (err != CL_SUCCESS || count < 1) { + fprintf(stderr, "Could not get an OpenCL device ID\n"); + return; + } + + props[0] = CL_CONTEXT_PLATFORM; + props[1] = (cl_context_properties)platform; + props[2] = 0; + + ms->cl_ctx = clCreateContext(props, 1, &ms->ocl_device, NULL, NULL, &err); + if (err != CL_SUCCESS || !ms->cl_ctx) { + fprintf(stderr, "Could not create an OpenCL context\n"); + return; + } + + ms->cl_queue = clCreateCommandQueue(ms->cl_ctx, ms->ocl_device, 0, &err); + if (err != CL_SUCCESS || !ms->cl_queue) { + fprintf(stderr, "Could not create an OpenCL command queue: %d\n", err); + goto fail; + } + + err = clblasSetup(); + if (err != CL_SUCCESS) { + fprintf(stderr, "Error setting up clBLAS\n"); + goto fail; + } + + ms->ocl_coeffs = clCreateBuffer(ms->cl_ctx, 0, ms->nb_coeffs * sizeof(double), NULL, &err); + + ms->bicgstab.cl_p = clCreateBuffer(ms->cl_ctx, 0, ms->nb_coeffs * sizeof(double), NULL, &err); + ms->bicgstab.cl_v = clCreateBuffer(ms->cl_ctx, 0, ms->nb_coeffs * sizeof(double), NULL, &err); + ms->bicgstab.cl_y = clCreateBuffer(ms->cl_ctx, 0, ms->nb_coeffs * sizeof(double), NULL, &err); + ms->bicgstab.cl_z = clCreateBuffer(ms->cl_ctx, 0, ms->nb_coeffs * sizeof(double), NULL, &err); + ms->bicgstab.cl_t = clCreateBuffer(ms->cl_ctx, 0, ms->nb_coeffs * sizeof(double), NULL, &err); + ms->bicgstab.cl_res = clCreateBuffer(ms->cl_ctx, 0, ms->nb_coeffs * sizeof(double), NULL, &err); + ms->bicgstab.cl_res0 = clCreateBuffer(ms->cl_ctx, 0, ms->nb_coeffs * sizeof(double), NULL, &err); + ms->bicgstab.cl_tmp = clCreateBuffer(ms->cl_ctx, 0, ms->nb_coeffs * sizeof(double), NULL, &err); + ms->bicgstab.cl_tmp1 = clCreateBuffer(ms->cl_ctx, 0, 2 * ms->nb_coeffs * sizeof(double), NULL, &err); + + ms->bicgstab.cl_k = clCreateBuffer(ms->cl_ctx, 0, ms->nb_colloc_points * ms->nb_coeffs * sizeof(double), NULL, &err); + ms->bicgstab.cl_mat = clCreateBuffer(ms->cl_ctx, 0, ms->nb_colloc_points * ms->nb_coeffs * sizeof(double), NULL, &err); + + ms->bicgstab.cl_rho = clCreateBuffer(ms->cl_ctx, 0, sizeof(double), NULL, &err); + ms->bicgstab.cl_alpha = clCreateBuffer(ms->cl_ctx, 0, sizeof(double), NULL, &err); + ms->bicgstab.cl_beta = clCreateBuffer(ms->cl_ctx, 0, sizeof(double), NULL, &err); + ms->bicgstab.cl_omega = clCreateBuffer(ms->cl_ctx, 0, 2 * sizeof(double), NULL, &err); + ms->bicgstab.cl_omega1 = clCreateBuffer(ms->cl_ctx, 0, sizeof(double), NULL, &err); + + return; +fail: + if (ms->cl_queue) + clReleaseCommandQueue(ms->cl_queue); + ms->cl_queue = 0; + + if (ms->cl_ctx) + clReleaseContext(ms->cl_ctx); + ms->cl_ctx = 0; +} + +static void construct_filter_matrix(MaximalSlicingContext *ms, double filter_power) +{ + char equed = 'N'; + double cond, ferr, berr, rpivot; + + double *m, *minv, *scale, *tmp; + int *ipiv; + int idx_coeff_x, idx_coeff_z, idx_grid_x, idx_grid_z; + int N = ms->nb_coeffs; + + ms->input_filter = malloc(sizeof(*m) * N * N); + + m = malloc(sizeof(*m) * N * N); + minv = malloc(sizeof(*m) * N * N); + scale = malloc(sizeof(*m) * N * N); + tmp = malloc(sizeof(*m) * N * N); + ipiv = malloc(sizeof(*ipiv) * N); + +#define BASIS_X (ms->basis_x_val [idx_grid_x * ms->nb_coeffs_x + idx_coeff_x]) +#define BASIS_Z (ms->basis_z_val [idx_grid_z * ms->nb_coeffs_z + idx_coeff_z]) + for (idx_grid_z = 0; idx_grid_z < ms->nb_colloc_points_z - 0; idx_grid_z++) { + for (idx_grid_x = 0; idx_grid_x < ms->nb_colloc_points_x - 0; idx_grid_x++) { + int idx_grid = idx_grid_z * ms->nb_colloc_points_x + idx_grid_x; + + for (idx_coeff_z = 0; idx_coeff_z < ms->nb_coeffs_z; idx_coeff_z++) + for (idx_coeff_x = 0; idx_coeff_x < ms->nb_coeffs_x; idx_coeff_x++) { + const int idx_coeff = idx_coeff_z * ms->nb_coeffs_x + idx_coeff_x; + + minv[idx_grid + ms->nb_colloc_points * idx_coeff] = BASIS_X * BASIS_Z; + scale[idx_grid + ms->nb_colloc_points * idx_coeff] = (idx_grid == idx_coeff) ? + exp(-36.0 * pow((double)idx_grid_x / ms->nb_coeffs_x, filter_power)) * + exp(-36.0 * pow((double)idx_grid_z / ms->nb_coeffs_z, filter_power)) : 0.0; + + scale[idx_grid + ms->nb_colloc_points * idx_coeff] = (idx_grid == idx_coeff) ? 1.0 : 0.0; + //if (idx_coeff_z == idx_grid_z && idx_coeff_z == 0 && idx_grid_x == idx_coeff_x) + // fprintf(stderr, "%d %g\n", idx_coeff_x, scale[idx_grid + ms->nb_colloc_points * idx_coeff]); + } + } + } + + memcpy(m, minv, sizeof(*m) * N * N); + LAPACKE_dgetrf(LAPACK_COL_MAJOR, N, N, m, N, ipiv); + LAPACKE_dgetri(LAPACK_COL_MAJOR, N, m, N, ipiv); + + cblas_dgemm(CblasColMajor, CblasNoTrans, CblasNoTrans, + N, N, N, 1.0, scale, N, m, N, 0.0, tmp, N); + cblas_dgemm(CblasColMajor, CblasNoTrans, CblasNoTrans, + N, N, N, 1.0, minv, N, tmp, N, 0.0, ms->input_filter, N); + + free(m); + free(minv); + free(scale); + free(tmp); + free(ipiv); +} + +static MaximalSlicingContext *init_ms(cGH *cctkGH, + int basis_order_r, int basis_order_z, + double sf, double filter_power, double input_filter_power, + CCTK_REAL *x, CCTK_REAL *y, CCTK_REAL *z, + const int grid_size[3]) +{ + MaximalSlicingContext *ms; + int ret; + + ms = calloc(1, sizeof(*ms)); + + ms->gh = cctkGH; + + ms->basis = &qms_sb_even_basis; + //ms->basis = &qms_cheb_basis; + //ms->basis = &qms_cheb_even_basis; + //ms->basis = &qms_tl_basis; +#if POLAR + ms->basis1 = &qms_cos_even_basis; +#else + ms->basis1 = &qms_sb_even_basis; +#endif + + ms->nb_coeffs_x = basis_order_r; + ms->nb_coeffs_z = basis_order_z; + + ms->nb_coeffs = ms->nb_coeffs_x * ms->nb_coeffs_z; + + ms->nb_colloc_points_x = basis_order_r; + ms->nb_colloc_points_z = basis_order_z; + + ms->nb_colloc_points = ms->nb_colloc_points_x * ms->nb_colloc_points_z; + + if (ms->nb_colloc_points != ms->nb_coeffs) + CCTK_WARN(0, "Non-square collocation matrix"); + + ms->colloc_grid_order_x = ms->nb_colloc_points_x; + ms->colloc_grid_order_z = ms->nb_colloc_points_z; + + ms->mat = malloc(sizeof(double) * ms->nb_coeffs * ms->nb_colloc_points); + ms->coeffs = malloc(sizeof(double) * ms->nb_coeffs); + ms->rhs = malloc(sizeof(double) * ms->nb_colloc_points); + + ms->coeffs_eval = malloc(sizeof(double) * ms->nb_coeffs); + for (int i = 0; i < ARRAY_ELEMS(ms->solution_cache); i++) { + ms->solution_cache[i].coeffs = malloc(sizeof(double) * ms->nb_coeffs); + if (!ms->solution_cache[i].coeffs) + CCTK_WARN(0, "malloc failure"); + } + + ms->mat_f = malloc(sizeof(double) * ms->nb_coeffs * ms->nb_colloc_points); + ms->ipiv = malloc(sizeof(*ms->ipiv) * ms->nb_coeffs); + +#if 1 + scale_factor = 1.0; + + //scale_factor = (x[CCTK_GFINDEX3D(cctkGH, grid_size[0] - 1, 0, 0)] * 0.75) / ms->basis->colloc_point(ms->colloc_grid_order_x, ms->nb_colloc_points_x - 1); + scale_factor = (64.0 / ms->basis->colloc_point(ms->colloc_grid_order_x, ms->nb_colloc_points_x - 1)); + //scale_factor = (x[CCTK_GFINDEX3D(cctkGH, grid_size[0] - 1, 0, 0)]); + //scale_factor = x[CCTK_GFINDEX3D(cctkGH, grid_size[0] - 1, 0, 0)] - 0.5; + fprintf(stderr, "scale factor %16.16g\n", scale_factor); + +#else + scale_factor = sf; +#endif + + /* initialize the collocation grid */ + posix_memalign((void**)&ms->colloc_grid[0], 32, ms->nb_colloc_points_x * sizeof(*ms->colloc_grid[0])); + posix_memalign((void**)&ms->colloc_grid[1], 32, ms->nb_colloc_points_z * sizeof(*ms->colloc_grid[1])); + + for (int i = 0; i < ms->nb_colloc_points_x; i++) { + ms->colloc_grid[0][i] = ms->basis->colloc_point(ms->colloc_grid_order_x, i); + fprintf(stderr, "%d %g\n", i, ms->colloc_grid[0][i]); + } + for (int i = 0; i < ms->nb_colloc_points_z; i++) { + ms->colloc_grid[1][i] = ms->basis1->colloc_point(ms->colloc_grid_order_z, i); + fprintf(stderr, "%d %g\n", i, ms->colloc_grid[1][i] / (POLAR ? M_PI : 1.0)); + } + + /* precompute the basis values we will need */ + ms->basis_x_val = malloc(sizeof(*ms->basis_x_val) * ms->nb_colloc_points_x * ms->nb_coeffs_x); + ms->basis_x_dval = malloc(sizeof(*ms->basis_x_dval) * ms->nb_colloc_points_x * ms->nb_coeffs_x); + ms->basis_x_d2val = malloc(sizeof(*ms->basis_x_d2val) * ms->nb_colloc_points_x * ms->nb_coeffs_x); + for (int i = 0; i < ms->nb_colloc_points_x; i++) { + CCTK_REAL coord = ms->colloc_grid[0][i]; + for (int j = 0; j < ms->nb_coeffs_x; j++) { + ms->basis_x_val [i * ms->nb_coeffs_x + j] = ms->basis->eval(coord, j); + ms->basis_x_dval [i * ms->nb_coeffs_x + j] = ms->basis->eval_diff1(coord, j); + ms->basis_x_d2val[i * ms->nb_coeffs_x + j] = ms->basis->eval_diff2(coord, j); + } + } + + ms->basis_z_val = malloc(sizeof(*ms->basis_z_val) * ms->nb_colloc_points_z * ms->nb_coeffs_z); + ms->basis_z_dval = malloc(sizeof(*ms->basis_z_dval) * ms->nb_colloc_points_z * ms->nb_coeffs_z); + ms->basis_z_d2val = malloc(sizeof(*ms->basis_z_d2val) * ms->nb_colloc_points_z * ms->nb_coeffs_z); + for (int i = 0; i < ms->nb_colloc_points_z; i++) { + CCTK_REAL coord = ms->colloc_grid[1][i]; + for (int j = 0; j < ms->nb_coeffs_z; j++) { + ms->basis_z_val [i * ms->nb_coeffs_z + j] = ms->basis1->eval(coord, j); + ms->basis_z_dval [i * ms->nb_coeffs_z + j] = ms->basis1->eval_diff1(coord, j); + ms->basis_z_d2val[i * ms->nb_coeffs_z + j] = ms->basis1->eval_diff2(coord, j); + } + } + + posix_memalign((void**)&ms->basis_val_00, 32, ms->nb_colloc_points * ms->nb_coeffs * sizeof(*ms->basis_val_00)); + posix_memalign((void**)&ms->basis_val_11, 32, ms->nb_colloc_points * ms->nb_coeffs * sizeof(*ms->basis_val_00)); + posix_memalign((void**)&ms->basis_val_10, 32, ms->nb_colloc_points * ms->nb_coeffs * sizeof(*ms->basis_val_00)); + posix_memalign((void**)&ms->basis_val_01, 32, ms->nb_colloc_points * ms->nb_coeffs * sizeof(*ms->basis_val_00)); + posix_memalign((void**)&ms->basis_val_02, 32, ms->nb_colloc_points * ms->nb_coeffs * sizeof(*ms->basis_val_00)); + posix_memalign((void**)&ms->basis_val_20, 32, ms->nb_colloc_points * ms->nb_coeffs * sizeof(*ms->basis_val_00)); + for (int i = 0; i < ms->nb_colloc_points_z; i++) { + const double *basis_z = ms->basis_z_val + i * ms->nb_coeffs_z; + const double *dbasis_z = ms->basis_z_dval + i * ms->nb_coeffs_z; + const double *d2basis_z = ms->basis_z_d2val + i * ms->nb_coeffs_z; + + for (int j = 0; j < ms->nb_colloc_points_x; j++) { + const double *basis_x = ms->basis_x_val + j * ms->nb_coeffs_x; + const double *dbasis_x = ms->basis_x_dval + j * ms->nb_coeffs_x; + const double *d2basis_x = ms->basis_x_d2val + j * ms->nb_coeffs_x; + const int idx_grid = i * ms->nb_colloc_points_x + j; + +#if POLAR + double r = ms->colloc_grid[0][j]; + double theta = ms->colloc_grid[1][i]; + + double x = r * cos(theta); + double z = r * sin(theta); +#else + double x = ms->colloc_grid[0][j]; + double z = ms->colloc_grid[1][i]; +#endif + + for (int k = 0; k < ms->nb_coeffs_z; k++) + for (int l = 0; l < ms->nb_coeffs_x; l++) { + const int idx_coeff = k * ms->nb_coeffs_x + l; + const int idx = idx_grid + ms->nb_colloc_points * idx_coeff; + ms->basis_val_00[idx] = basis_x[l] * basis_z[k]; +#if POLAR + ms->basis_val_10[idx] = ((r > EPS) ? (dbasis_x[l] * basis_z[k] * x / r - basis_x[l] * dbasis_z[k] * z / SQR(r)) : 0.0); + ms->basis_val_01[idx] = ((r > EPS) ? (dbasis_x[l] * basis_z[k] * z / r + basis_x[l] * dbasis_z[k] * x / SQR(r)) : 0.0); + ms->basis_val_20[idx] = ((r > EPS) ? (SQR(x / r) * d2basis_x[l] * basis_z[k] + SQR(z / SQR(r)) * basis_x[l] * d2basis_z[k] + + (1.0 - SQR(x / r)) / r * dbasis_x[l] * basis_z[k] + + 2 * x * z / SQR(SQR(r)) * basis_x[l] * dbasis_z[k] + - 2 * z * x / (r * SQR(r)) * dbasis_x[l] * dbasis_z[k]) : 0.0); + ms->basis_val_02[idx] = ((r > EPS) ? (SQR(z / r) * d2basis_x[l] * basis_z[k] + SQR(x / SQR(r)) * basis_x[l] * d2basis_z[k] + + (1.0 - SQR(z / r)) / r * dbasis_x[l] * basis_z[k] + - 2 * x * z / SQR(SQR(r)) * basis_x[l] * dbasis_z[k] + + 2 * z * x / (r * SQR(r)) * dbasis_x[l] * dbasis_z[k]) : 0.0); + ms->basis_val_11[idx] = ((r > EPS) ? (x * z / SQR(r) * d2basis_x[l] * basis_z[k] - x * z / SQR(SQR(r)) * basis_x[l] * d2basis_z[k] + - x * z / (r * SQR(r)) * dbasis_x[l] * basis_z[k] + - (1.0 - SQR(z / r)) / SQR(r) * basis_x[l] * dbasis_z[k] + + (SQR(x) - SQR(z)) / (r * SQR(r)) * dbasis_x[l] * dbasis_z[k]) : 0.0); +#else + ms->basis_val_10[idx] = dbasis_x[l] * basis_z[k]; + ms->basis_val_01[idx] = basis_x[l] * dbasis_z[k]; + ms->basis_val_20[idx] = d2basis_x[l] * basis_z[k]; + ms->basis_val_02[idx] = basis_x[l] * d2basis_z[k]; + ms->basis_val_11[idx] = dbasis_x[l] * dbasis_z[k]; +#endif + } + } + } + + posix_memalign((void**)&ms->eq_coeff_00, 32, ms->nb_colloc_points * sizeof(*ms->eq_coeff_00)); + posix_memalign((void**)&ms->eq_coeff_11, 32, ms->nb_colloc_points * sizeof(*ms->eq_coeff_00)); + posix_memalign((void**)&ms->eq_coeff_10, 32, ms->nb_colloc_points * sizeof(*ms->eq_coeff_00)); + posix_memalign((void**)&ms->eq_coeff_01, 32, ms->nb_colloc_points * sizeof(*ms->eq_coeff_00)); + posix_memalign((void**)&ms->eq_coeff_02, 32, ms->nb_colloc_points * sizeof(*ms->eq_coeff_00)); + posix_memalign((void**)&ms->eq_coeff_20, 32, ms->nb_colloc_points * sizeof(*ms->eq_coeff_00)); + + ms->interp_coords[0] = malloc(ms->nb_colloc_points * sizeof(*ms->interp_coords[0])); + ms->interp_coords[1] = malloc(ms->nb_colloc_points * sizeof(*ms->interp_coords[1])); + ms->interp_coords[2] = malloc(ms->nb_colloc_points * sizeof(*ms->interp_coords[2])); + for (int i = 0; i < ms->nb_colloc_points_z; i++) { + for (int j = 0; j < ms->nb_colloc_points_x; j++) { +#if POLAR + double phi = ms->colloc_grid[1][i]; + double r = ms->colloc_grid[0][j]; + + double x = r * cos(phi); + double z = r * sin(phi); +#else + double x = ms->colloc_grid[0][j]; + double z = ms->colloc_grid[1][i]; +#endif + + ms->interp_coords[0][i * ms->nb_colloc_points_x + j] = x; + ms->interp_coords[1][i * ms->nb_colloc_points_x + j] = 0; + ms->interp_coords[2][i * ms->nb_colloc_points_x + j] = z; + } + } + + for (int i = 0; i < ARRAY_ELEMS(ms->metric_u); i++) + ms->metric_u[i] = malloc(ms->nb_colloc_points * sizeof(*ms->interp_values[i])); + + ms->kij_kij = malloc(ms->nb_colloc_points * sizeof(*ms->kij_kij)); + + ms->coeff_scale = malloc(ms->nb_coeffs * sizeof(double)); + for (int j = 0; j < ms->nb_coeffs_z; j++) + for (int i = 0; i < ms->nb_coeffs_x; i++) { + //ms->coeff_scale[j * ms->nb_coeffs_x + i] = 1.0; + ms->coeff_scale[j * ms->nb_coeffs_x + i] = exp(-36.0 * pow((double)i / ms->nb_coeffs_x, filter_power)) * + exp(-36.0 * pow((double)j / ms->nb_coeffs_z, filter_power)); + //ms->coeff_scale[j * ms->nb_coeffs_x + i] = ((i < (2.0 / 3.0) * ms->nb_coeffs_x) ? 1.0 : SQR(cos((((double)i / ms->nb_coeffs_x) - (2.0 / 3.0)) * 3.0 * M_PI / 2.0))) * + // ((j < (2.0 / 3.0) * ms->nb_coeffs_z) ? 1.0 : SQR(cos((((double)j / ms->nb_coeffs_z) - (2.0 / 3.0)) * 3.0 * M_PI / 2.0))); + } + + for (int i = 0; i < ARRAY_ELEMS(ms->interp_values); i++) { + ms->interp_values[i] = malloc(sizeof(*ms->interp_values[i]) * ms->nb_colloc_points); + ms->interp_values_prefilter[i] = malloc(sizeof(*ms->interp_values[i]) * ms->nb_colloc_points); + if (!ms->interp_values[i] || !ms->interp_values_prefilter[i]) + CCTK_WARN(0, "Malloc failure"); + ms->interp_value_codes[i] = CCTK_VARIABLE_REAL; + } + + for (int i = 0; i < ARRAY_ELEMS(metric_vars); i++) { + ms->interp_vars_indices[i] = CCTK_VarIndex(metric_vars[i]); + if (ms->interp_vars_indices[i] < 0) + CCTK_VWarn(0, __LINE__, __FILE__, CCTK_THORNSTRING, "Error getting the index of variable: %s\n", metric_vars[i]); + } + + ms->coord_system = CCTK_CoordSystemHandle("cart3d"); + if (ms->coord_system < 0) + CCTK_WARN(0, "Error getting the coordinate system"); + + ms->interp_operator = CCTK_InterpHandle("Lagrange polynomial interpolation (tensor product)"); + if (ms->interp_operator < 0) + CCTK_WARN(0, "Error getting the interpolation operator"); + + ms->interp_params = Util_TableCreateFromString("order=4 want_global_mode=1"); + if (ms->interp_params < 0) + CCTK_WARN(0, "Error creating interpolation parameters table"); + + ret = Util_TableSetIntArray(ms->interp_params, NB_INTERP_VARS, + interp_operation_codes, "operation_codes"); + if (ret < 0) + CCTK_WARN(0, "Error setting operation codes"); + + ret = Util_TableSetIntArray(ms->interp_params, NB_INTERP_VARS, + interp_operation_indices, "operand_indices"); + if (ret < 0) + CCTK_WARN(0, "Error setting operand indices"); + + ms->bicgstab.p = malloc(sizeof(double) * ms->nb_coeffs); + ms->bicgstab.v = malloc(sizeof(double) * ms->nb_coeffs); + ms->bicgstab.y = malloc(sizeof(double) * ms->nb_coeffs); + ms->bicgstab.z = malloc(sizeof(double) * ms->nb_coeffs); + ms->bicgstab.t = malloc(sizeof(double) * ms->nb_coeffs); + ms->bicgstab.res = malloc(sizeof(double) * ms->nb_coeffs); + ms->bicgstab.res0 = malloc(sizeof(double) * ms->nb_coeffs); + ms->bicgstab.k = malloc(sizeof(double) * ms->nb_coeffs * ms->nb_colloc_points); + + ms->steps_since_inverse = INT_MAX; + + init_opencl(ms); + + construct_filter_matrix(ms, input_filter_power); + + CCTK_TimerCreate("MaximalSlicingAxi_Solve"); + CCTK_TimerCreate("MaximalSlicingAxi_Expand"); + CCTK_TimerCreate("MaximalSlicingAxi_interp_geometry"); + CCTK_TimerCreate("MaximalSlicingAxi_calc_eq_coeffs"); + CCTK_TimerCreate("MaximalSlicingAxi_construct_matrix"); + CCTK_TimerCreate("MaximalSlicingAxi_filter_input"); + CCTK_TimerCreate("MaximalSlicingAxi_solve_LU"); + CCTK_TimerCreate("MaximalSlicingAxi_solve_BiCGSTAB"); + CCTK_TimerCreate("MaximalSlicingAxi_Polish"); + + return ms; +} + +static CoordPatch *get_coord_patch(MaximalSlicingContext *ms, + CCTK_REAL *x, CCTK_REAL *y, CCTK_REAL *z) +{ + cGH *cctkGH = ms->gh; + + CoordPatch *cp; + int64_t grid_size; + int i; + + for (int i = 0; i < ms->nb_patches; i++) { + cp = &ms->patches[i]; + + if (cp->origin[0] == ms->gh->cctk_origin_space[0] && + cp->origin[1] == ms->gh->cctk_origin_space[1] && + cp->origin[2] == ms->gh->cctk_origin_space[2] && + cp->size[0] == ms->gh->cctk_lsh[0] && + cp->size[1] == ms->gh->cctk_lsh[1] && + cp->size[2] == ms->gh->cctk_lsh[2] && + cp->delta[0] == ms->gh->cctk_levfac[0] && + cp->delta[1] == ms->gh->cctk_levfac[1] && + cp->delta[2] == ms->gh->cctk_levfac[2]) + return cp; + } + + grid_size = cctkGH->cctk_lsh[0] * cctkGH->cctk_lsh[1] * cctkGH->cctk_lsh[2]; + + /* create a new patch */ + ms->patches = realloc(ms->patches, sizeof(*ms->patches) * (ms->nb_patches + 1)); + cp = &ms->patches[ms->nb_patches]; + + memset(cp, 0, sizeof(*cp)); + + memcpy(cp->origin, ms->gh->cctk_origin_space, sizeof(cp->origin)); + memcpy(cp->size, ms->gh->cctk_lsh, sizeof(cp->size)); + memcpy(cp->delta, ms->gh->cctk_levfac, sizeof(cp->delta)); + + for (i = 0; i < cp->size[1]; i++) + if (fabs(y[CCTK_GFINDEX3D(cctkGH, 0, i, 0)]) < 1e-8) { + cp->y_idx = i; + break; + } + if (i == cp->size[1]) + CCTK_WARN(0, "The grid does not include y==0"); + +#if 0 + posix_memalign((void**)&cp->basis_val_r, 32, sizeof(*cp->basis_val_r) * ms->nb_coeffs_x * ms->gh->cctk_lsh[1] * ms->gh->cctk_lsh[0]); + for (int j = 0; j < ms->gh->cctk_lsh[1]; j++) + for (int i = 0; i < ms->gh->cctk_lsh[0]; i++) { + CCTK_REAL xx = x[CCTK_GFINDEX3D(ms->gh, i, j, 0)]; + CCTK_REAL yy = y[CCTK_GFINDEX3D(ms->gh, i, j, 0)]; + CCTK_REAL r = sqrt(SQR(xx) + SQR(yy)); + + for (int k = 0; k < ms->nb_coeffs_x; k++) + //cp->basis_val_r [(j * ms->gh->cctk_lsh[0] + i) * ms->nb_coeffs_x + k] = ms->basis->eval(r, k); + cp->basis_val_r [(j * ms->gh->cctk_lsh[0] + i) + ms->gh->cctk_lsh[1] * ms->gh->cctk_lsh[0] * k] = ms->basis->eval(r, k); + } + + posix_memalign((void**)&cp->basis_val_z, 32, sizeof(*cp->basis_val_z) * ms->nb_coeffs_z * ms->gh->cctk_lsh[2]); + for (int i = 0; i < ms->gh->cctk_lsh[2]; i++) { + CCTK_REAL zz = z[CCTK_GFINDEX3D(ms->gh, 0, 0, i)]; + for (int j = 0; j < ms->nb_coeffs_z; j++) + cp->basis_val_z [i * ms->nb_coeffs_z + j] = ms->basis->eval(fabs(zz), j); + //cp->basis_val_z [i + ms->gh->cctk_lsh[2] * j] = ms->basis->eval(zz, j); + } + posix_memalign((void**)&cp->transform_z, 32, sizeof(*cp->transform_z) * cctkGH->cctk_lsh[2] * ms->nb_coeffs_x); + posix_memalign((void**)&cp->one, 32, sizeof(*cp->one) * grid_size); + for (int i = 0; i < grid_size; i++) + cp->one[i] = 1.0; +#else + posix_memalign((void**)&cp->basis_val_r, 32, sizeof(*cp->basis_val_r) * ms->nb_coeffs_x * ms->gh->cctk_lsh[0]); + for (int i = 0; i < ms->gh->cctk_lsh[0]; i++) { + CCTK_REAL xx = x[CCTK_GFINDEX3D(ms->gh, i, 0, 0)]; + + for (int k = 0; k < ms->nb_coeffs_x; k++) + cp->basis_val_r[i * ms->nb_coeffs_x + k] = ms->basis->eval(fabs(xx), k); + } + + posix_memalign((void**)&cp->basis_val_z, 32, sizeof(*cp->basis_val_z) * ms->nb_coeffs_z * ms->gh->cctk_lsh[2]); + for (int i = 0; i < ms->gh->cctk_lsh[2]; i++) { + CCTK_REAL zz = z[CCTK_GFINDEX3D(ms->gh, 0, 0, i)]; + for (int j = 0; j < ms->nb_coeffs_z; j++) + cp->basis_val_z[i * ms->nb_coeffs_z + j] = ms->basis->eval(fabs(zz), j); + } + + posix_memalign((void**)&cp->transform_matrix, 32, sizeof(*cp->transform_matrix) * ms->nb_coeffs_x * cp->size[0] * cp->size[2]); + posix_memalign((void**)&cp->transform_matrix1, 32, sizeof(*cp->transform_matrix1) * ms->nb_coeffs_z * cp->size[0] * cp->size[2]); +#pragma omp parallel for + for (int j = 0; j < cp->size[2]; j++) { + CCTK_REAL zz = z[CCTK_GFINDEX3D(ms->gh, 0, 0, j)]; + + for (int i = 0; i < cp->size[0]; i++) { + const int idx_grid = j * cp->size[0] + i; + + CCTK_REAL xx = x[CCTK_GFINDEX3D(ms->gh, i, 0, 0)]; + +#if POLAR + double coord0 = sqrt(SQR(xx) + SQR(zz)); + double coord1 = atan2(zz, xx); +#else + double coord0 = xx; + double coord1 = zz; +#endif + + //for (int k = 0; k < ms->nb_coeffs_z; k++) + // for (int l = 0; l < ms->nb_coeffs_x; l++) { + // const int idx_coeff = k * ms->nb_coeffs_x + l; + // cp->transform_matrix[idx_grid + cp->size[0] * cp->size[2] * idx_coeff] = ms->basis->eval(r, l) * ms->basis1->eval(phi, k); + // } + for (int k = 0; k < ms->nb_coeffs_x; k++) + cp->transform_matrix[idx_grid + cp->size[0] * cp->size[2] * k] = ms->basis->eval(coord0, k); + for (int k = 0; k < ms->nb_coeffs_z; k++) + cp->transform_matrix1[idx_grid * ms->nb_coeffs_z + k] = ms->basis1->eval(coord1, k); + } + } + posix_memalign((void**)&cp->transform_tmp, 32, sizeof(*cp->transform_tmp) * cp->size[0] * cp->size[2] * ms->nb_coeffs_z); +#endif + + ms->nb_patches++; + return cp; +} + +static MaximalSlicingContext *ms_context; + +void quasimaximal_slicing_axi_solve(CCTK_ARGUMENTS) +{ + MaximalSlicingContext *ms; + + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + double time; + + if (!ms_context) { + ms_context = init_ms(cctkGH, basis_order_r, basis_order_z, + scale_factor, filter_power, input_filter_power, x, y, z, cctk_lsh); + } + ms = ms_context; + + time = cctkGH->cctk_time / ms->gh->cctk_delta_time; + + if (ms->gh->cctk_levfac[0] != 1 || + fabs(time - ceilf(time)) > 1e-8) + return; + + fprintf(stderr, "qms solve: time %g %g\n", ms->gh->cctk_time, time); + + CCTK_TimerStart("MaximalSlicingAxi_Solve"); + qms_maximal_solve(ms); + CCTK_TimerStop("MaximalSlicingAxi_Solve"); + + if (export_coeffs) + memcpy(w_coeffs, ms->coeffs, sizeof(*w_coeffs) * ms->nb_coeffs); + + if (1) { + double *tmp; + if (ms->nb_solutions == ARRAY_ELEMS(ms->solution_cache)) { + tmp = ms->solution_cache[0].coeffs; + memmove(ms->solution_cache, ms->solution_cache + 1, sizeof(ms->solution_cache[0]) * (ARRAY_ELEMS(ms->solution_cache) - 1)); + } else { + ms->nb_solutions++; + tmp = ms->solution_cache[ms->nb_solutions - 1].coeffs; + } + ms->solution_cache[ms->nb_solutions - 1].coeffs = ms->coeffs; + ms->solution_cache[ms->nb_solutions - 1].time = ms->gh->cctk_time; + + ms->coeffs = tmp; + } +} + +void quasimaximal_slicing_axi_eval(CCTK_ARGUMENTS) +{ + MaximalSlicingContext *ms; + + CoordPatch *cp; + + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + int64_t expand_start, totaltime_start; + + double *coeffs = NULL; + int i, ret; + + totaltime_start = gettime(); + + /* on the first run, init the solver */ + if (!ms_context) { + ms_context = init_ms(cctkGH, basis_order_r, basis_order_z, + scale_factor, filter_power, input_filter_power, x, y, z, cctk_lsh); + } + ms = ms_context; + + cp = get_coord_patch(ms, x, y, z); + +#if 0 + coeffs = ms->coeffs; +#else + coeffs = ms->coeffs_eval; + + if (ms->nb_solutions < 2) { + memset(coeffs, 0, sizeof(*coeffs) * ms->nb_coeffs); + //fprintf(stderr, "qms eval: time %g zero\n", ms->gh->cctk_time); + } else { + double *coeffs0 = ms->solution_cache[ms->nb_solutions - 2].coeffs; + double *coeffs1 = ms->solution_cache[ms->nb_solutions - 1].coeffs; + double time0 = ms->solution_cache[ms->nb_solutions - 2].time; + double time1 = ms->solution_cache[ms->nb_solutions - 1].time; + double time = ms->gh->cctk_time; + + //fprintf(stderr, "qms eval: time %g interp from %g %g\n", ms->gh->cctk_time, time0, time1); + + for (int i = 0; i < ms->nb_coeffs; i++) + coeffs[i] = coeffs1[i] * (time - time0) / (time1 - time0) + coeffs0[i] * (time - time1) / (time0 - time1); + + } +#endif + + + CCTK_TimerStart("MaximalSlicingAxi_Expand"); + expand_start = gettime(); +#if 0 +#pragma omp parallel for + for (int k = 0; k < cctk_lsh[2]; k++) { + for (int i = 0; i < cctk_lsh[0]; i++) { + int idx = CCTK_GFINDEX3D(cctkGH, i, cp->y_idx, k); + double xx = x[idx]; + double zz = z[idx]; + double r = sqrt(SQR(xx) + SQR(zz)); + double phi = atan2(zz, xx); + + double val = 1.0; + + for (int l = 0; l < ms->nb_coeffs_z; l++) { + double tmp = 0.0; + for (int m = 0; m < ms->nb_coeffs_x; m++) { + const int idx_coeff = l * ms->nb_coeffs_x + m; + tmp += ms->coeffs[idx_coeff] * ms->basis->eval(r, m); + } + val += tmp * ms->basis1->eval(phi, l); + } + + alp[idx] = val; + } + } +#else + cblas_dgemm(CblasColMajor, CblasNoTrans, CblasNoTrans, + cctk_lsh[0] * cctk_lsh[2], ms->nb_coeffs_z, ms->nb_coeffs_x, + 1.0, cp->transform_matrix, cctk_lsh[0] * cctk_lsh[2], + coeffs, ms->nb_coeffs_x, 0.0, cp->transform_tmp, cctk_lsh[0] * cctk_lsh[2]); +#pragma omp parallel for + for (int j = 0; j < cctk_lsh[2]; j++) + for (int i = 0; i < cctk_lsh[0]; i++) { + const int idx_grid = j * cctk_lsh[0] + i; + const double val = cblas_ddot(ms->nb_coeffs_z, cp->transform_matrix1 + idx_grid * ms->nb_coeffs_z, 1, + cp->transform_tmp + idx_grid, cctk_lsh[0] * cctk_lsh[2]); + W[CCTK_GFINDEX3D(cctkGH, i, cp->y_idx, j)] = val; + } +#endif + //memcpy(alp, cp->one, cctk_lsh[0] * cctk_lsh[1] * cctk_lsh[2] * sizeof(*alp)); + //memset(alp, 0, cctk_lsh[0] * cctk_lsh[1] * cctk_lsh[2] * sizeof(*alp)); + //cblas_dgemm(CblasColMajor, CblasNoTrans, CblasNoTrans, + // ms->nb_coeffs_x, cctk_lsh[2], ms->nb_coeffs_z, 1.0, + // coeffs, ms->nb_coeffs_x, cp->basis_val_z, ms->nb_coeffs_z, + // 0.0, cp->transform_z, ms->nb_coeffs_x); + //cblas_dgemm(CblasColMajor, CblasNoTrans, CblasNoTrans, + // cctk_lsh[1] * cctk_lsh[0], cctk_lsh[2], ms->nb_coeffs_x, 1.0, + // cp->basis_val_r, cctk_lsh[0] * cctk_lsh[1], cp->transform_z, ms->nb_coeffs_x, + // 1.0, alp, cctk_lsh[0] * cctk_lsh[1]); + + ms->grid_expand_time += gettime() - expand_start; + ms->grid_expand_count++; + + CCTK_TimerStop("MaximalSlicingAxi_Expand"); + + ms->solve_time += gettime() - totaltime_start; + ms->solve_count++; + + /* print stats */ + if (!(ms->solve_count & 255)) { + fprintf(stderr, + "maximal slicing solves: %lu, " + "total time %g s, avg time per call %g ms\n", + ms->solve_count, (double)ms->solve_time / 1e6, + (double)ms->solve_time / ms->solve_count / 1e3); + fprintf(stderr, + "%g%% interpolate geometry: %lu, " + "total time %g s, avg time per call %g ms\n", + (double)ms->interp_geometry_time * 100 / ms->solve_time, + ms->interp_geometry_count, (double)ms->interp_geometry_time / 1e6, + (double)ms->interp_geometry_time / ms->interp_geometry_count / 1e3); + fprintf(stderr, + "%g%% calc equation coefficients: %lu, " + "total time %g s, avg time per call %g ms\n", + (double)ms->calc_eq_coeffs_time * 100 / ms->solve_time, + ms->calc_eq_coeffs_count, (double)ms->calc_eq_coeffs_time / 1e6, + (double)ms->calc_eq_coeffs_time / ms->calc_eq_coeffs_count / 1e3); + fprintf(stderr, + "%g%% pseudospectral matrix construction: %lu, " + "total time %g s, avg time per call %g ms\n", + (double)ms->construct_matrix_time * 100 / ms->solve_time, + ms->construct_matrix_count, (double)ms->construct_matrix_time / 1e6, + (double)ms->construct_matrix_time / ms->construct_matrix_count / 1e3); + fprintf(stderr, + "%g%% BiCGSTAB %lu solves, " + "%lu iterations, total time %g s, " + "avg iterations per solve %g, avg time per solve %g ms, " + "avg time per iteration %g ms\n", + (double)ms->cg_time_total * 100 / ms->solve_time, + ms->cg_solve_count, ms->cg_iter_count, (double)ms->cg_time_total / 1e6, + (double)ms->cg_iter_count / ms->cg_solve_count, + (double)ms->cg_time_total / ms->cg_solve_count / 1e3, + (double)ms->cg_time_total / ms->cg_iter_count / 1e3); + fprintf(stderr, + "%g%% LU %lu solves, total time %g s, avg time per solve %g ms\n", + (double)ms->lu_solves_time * 100 / ms->solve_time, + ms->lu_solves_count, (double)ms->lu_solves_time / 1e6, + (double)ms->lu_solves_time / ms->lu_solves_count / 1e3); + fprintf(stderr, + "%g%% grid expansion: %lu, total time %g s, avg time per call %g ms\n", + (double)ms->grid_expand_time * 100 / ms->solve_time, + ms->grid_expand_count, (double)ms->grid_expand_time / 1e6, + (double)ms->grid_expand_time / ms->grid_expand_count / 1e3); + } +} + +void qms_init(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + double *Kdot11 = CCTK_VarDataPtr(cctkGH, 0, "ML_BSSN::Kdot11"); + double *Kdot22 = CCTK_VarDataPtr(cctkGH, 0, "ML_BSSN::Kdot22"); + double *Kdot33 = CCTK_VarDataPtr(cctkGH, 0, "ML_BSSN::Kdot33"); + double *Kdot12 = CCTK_VarDataPtr(cctkGH, 0, "ML_BSSN::Kdot12"); + double *Kdot13 = CCTK_VarDataPtr(cctkGH, 0, "ML_BSSN::Kdot13"); + double *Kdot23 = CCTK_VarDataPtr(cctkGH, 0, "ML_BSSN::Kdot23"); + + double *Xtdot1 = CCTK_VarDataPtr(cctkGH, 0, "ML_BSSN::Xtdot1"); + double *Xtdot2 = CCTK_VarDataPtr(cctkGH, 0, "ML_BSSN::Xtdot2"); + double *Xtdot3 = CCTK_VarDataPtr(cctkGH, 0, "ML_BSSN::Xtdot3"); + + double *phidot = CCTK_VarDataPtr(cctkGH, 0, "ML_BSSN::phidot"); + + for (int k = 0; k < cctk_lsh[2]; k++) + for (int j = 0; j < cctk_lsh[1]; j++) + for (int i = 0; i < cctk_lsh[0]; i++) { + int idx = CCTK_GFINDEX3D(cctkGH, i, j, k); + + Kdot11[idx] = 0.0; + Kdot22[idx] = 0.0; + Kdot33[idx] = 0.0; + Kdot12[idx] = 0.0; + Kdot13[idx] = 0.0; + Kdot23[idx] = 0.0; + + Xtdot1[idx] = 0.0; + Xtdot2[idx] = 0.0; + Xtdot3[idx] = 0.0; + + phidot[idx] = 0.0; + } +} |