From 783d260e0d47d6adb4388fea9ed8e35122d4f6c2 Mon Sep 17 00:00:00 2001 From: Anton Khirnov Date: Tue, 29 Jan 2019 15:40:29 +0100 Subject: mg2d_test: add a test for fixed-derivative boundary condition Also test more terms in the equation. --- mg2d_test.c | 101 +++++++++++++++++++++++++++++++++++++++++++----------------- 1 file changed, 72 insertions(+), 29 deletions(-) (limited to 'mg2d_test.c') diff --git a/mg2d_test.c b/mg2d_test.c index 6bdbb00..d1d3d67 100644 --- a/mg2d_test.c +++ b/mg2d_test.c @@ -36,6 +36,33 @@ static double sol_dxy(double x, double y) { return M_PI * M_PI * cos(M_PI * x) * cos(M_PI * y); } +#define BC_TYPE MG2D_BC_TYPE_FIXVAL +#else +static double sol(double x, double y) +{ + return cos(M_PI * x) * cos(M_PI * y); +} +static double sol_dx(double x, double y) +{ + return -M_PI * sin(M_PI * x) * cos(M_PI * y); +} +static double sol_dy(double x, double y) +{ + return -M_PI * cos(M_PI * x) * sin(M_PI * y); +} +static double sol_dxx(double x, double y) +{ + return -M_PI * M_PI * sol(x, y); +} +static double sol_dyy(double x, double y) +{ + return -M_PI * M_PI * sol(x, y); +} +static double sol_dxy(double x, double y) +{ + return M_PI * M_PI * sin(M_PI * x) * sin(M_PI * y); +} +#define BC_TYPE MG2D_BC_TYPE_FIXDIFF #endif int main(int argc, char **argv) @@ -76,57 +103,65 @@ int main(int argc, char **argv) { MG2DBoundary *bnd = ctx->boundaries[MG2D_BOUNDARY_0L]; - bnd->type = MG2D_BC_TYPE_FIXVAL; + bnd->type = BC_TYPE; memset(bnd->val, 0, gridsize * sizeof(*bnd->val)); - for (int j = 1; j < ctx->fd_stencil; j++) { - double *dst = bnd->val + j * bnd->val_stride; + if (bnd->type == MG2D_BC_TYPE_FIXVAL) { + for (int j = 1; j < ctx->fd_stencil; j++) { + double *dst = bnd->val + j * bnd->val_stride; - for (ptrdiff_t k = -j; k < (ptrdiff_t)ctx->domain_size + j; k++) - dst[k] = sol(-j * ctx->step[0], k * ctx->step[1]); + for (ptrdiff_t k = -j; k < (ptrdiff_t)ctx->domain_size + j; k++) + dst[k] = sol(-j * ctx->step[0], k * ctx->step[1]); + } } } { MG2DBoundary *bnd = ctx->boundaries[MG2D_BOUNDARY_0U]; - bnd->type = MG2D_BC_TYPE_FIXVAL; + bnd->type = BC_TYPE; memset(bnd->val, 0, gridsize * sizeof(*bnd->val)); - for (int j = 1; j < ctx->fd_stencil; j++) { - double *dst = bnd->val + j * bnd->val_stride; + if (bnd->type == MG2D_BC_TYPE_FIXVAL) { + for (int j = 1; j < ctx->fd_stencil; j++) { + double *dst = bnd->val + j * bnd->val_stride; - for (ptrdiff_t k = -j; k < (ptrdiff_t)ctx->domain_size + j; k++) - dst[k] = sol((gridsize - 1 + j) * ctx->step[0], k * ctx->step[1]); + for (ptrdiff_t k = -j; k < (ptrdiff_t)ctx->domain_size + j; k++) + dst[k] = sol((gridsize - 1 + j) * ctx->step[0], k * ctx->step[1]); + } } } { MG2DBoundary *bnd = ctx->boundaries[MG2D_BOUNDARY_1L]; - bnd->type = MG2D_BC_TYPE_FIXVAL; + bnd->type = BC_TYPE; memset(bnd->val, 0, gridsize * sizeof(*bnd->val)); - for (int j = 1; j < ctx->fd_stencil; j++) { - double *dst = bnd->val + j * bnd->val_stride; + if (bnd->type == MG2D_BC_TYPE_FIXVAL) { + for (int j = 1; j < ctx->fd_stencil; j++) { + double *dst = bnd->val + j * bnd->val_stride; - for (ptrdiff_t k = -j; k < (ptrdiff_t)ctx->domain_size + j; k++) - dst[k] = sol(k * ctx->step[0], -j * ctx->step[1]); + for (ptrdiff_t k = -j; k < (ptrdiff_t)ctx->domain_size + j; k++) + dst[k] = sol(k * ctx->step[0], -j * ctx->step[1]); + } } } { MG2DBoundary *bnd = ctx->boundaries[MG2D_BOUNDARY_1U]; - bnd->type = MG2D_BC_TYPE_FIXVAL; + bnd->type = BC_TYPE; memset(bnd->val, 0, gridsize * sizeof(*bnd->val)); - for (int j = 1; j < ctx->fd_stencil; j++) { - double *dst = bnd->val + j * bnd->val_stride; + if (bnd->type == MG2D_BC_TYPE_FIXVAL) { + for (int j = 1; j < ctx->fd_stencil; j++) { + double *dst = bnd->val + j * bnd->val_stride; - for (ptrdiff_t k = -j; k < (ptrdiff_t)ctx->domain_size + j; k++) - dst[k] = sol(k * ctx->step[0], (gridsize - 1 + j) * ctx->step[1]); + for (ptrdiff_t k = -j; k < (ptrdiff_t)ctx->domain_size + j; k++) + dst[k] = sol(k * ctx->step[0], (gridsize - 1 + j) * ctx->step[1]); + } } } @@ -135,24 +170,32 @@ int main(int argc, char **argv) const double y_coord = y * ctx->step[1]; memset(ctx->u + y * ctx->u_stride, 0, sizeof(*ctx->u) * ctx->domain_size); - //memset(ctx->rhs + y * ctx->rhs_stride, 0, sizeof(*ctx->rhs) * ctx->domain_size[0]); + memset(ctx->rhs + y * ctx->rhs_stride, 0, sizeof(*ctx->rhs) * ctx->domain_size); + memset(ctx->diff_coeffs[MG2D_DIFF_COEFF_00] + y * ctx->diff_coeffs_stride, 0, + sizeof(*ctx->diff_coeffs[0]) * ctx->domain_size); + memset(ctx->diff_coeffs[MG2D_DIFF_COEFF_01] + y * ctx->diff_coeffs_stride, 0, + sizeof(*ctx->diff_coeffs[0]) * ctx->domain_size); + memset(ctx->diff_coeffs[MG2D_DIFF_COEFF_10] + y * ctx->diff_coeffs_stride, 0, + sizeof(*ctx->diff_coeffs[0]) * ctx->domain_size); + memset(ctx->diff_coeffs[MG2D_DIFF_COEFF_20] + y * ctx->diff_coeffs_stride, 0, + sizeof(*ctx->diff_coeffs[0]) * ctx->domain_size); + memset(ctx->diff_coeffs[MG2D_DIFF_COEFF_02] + y * ctx->diff_coeffs_stride, 0, + sizeof(*ctx->diff_coeffs[0]) * ctx->domain_size); + memset(ctx->diff_coeffs[MG2D_DIFF_COEFF_11] + y * ctx->diff_coeffs_stride, 0, + sizeof(*ctx->diff_coeffs[0]) * ctx->domain_size); for (size_t x = 0; x < ctx->domain_size; x++) { const double x_coord = x * ctx->step[0]; ctx->diff_coeffs[MG2D_DIFF_COEFF_02][ctx->diff_coeffs_stride * y + x] = 1.0; ctx->diff_coeffs[MG2D_DIFF_COEFF_20][ctx->diff_coeffs_stride * y + x] = 1.0; + ctx->diff_coeffs[MG2D_DIFF_COEFF_01][ctx->diff_coeffs_stride * y + x] = 1.0; + ctx->diff_coeffs[MG2D_DIFF_COEFF_10][ctx->diff_coeffs_stride * y + x] = 1.0; ctx->diff_coeffs[MG2D_DIFF_COEFF_11][ctx->diff_coeffs_stride * y + x] = 1.0; - //ctx->diff_coeffs[ELL_RELAX_DIFF_COEFF_00][ctx->diff_coeffs_stride * y + x] = 2.0 * M_PI; + ctx->diff_coeffs[MG2D_DIFF_COEFF_00][ctx->diff_coeffs_stride * y + x] = 1.0; - ctx->rhs[y * ctx->rhs_stride + x] = sol_dxx(x_coord, y_coord) + sol_dyy(x_coord, y_coord) + sol_dxy(x_coord, y_coord); + ctx->rhs[y * ctx->rhs_stride + x] = sol_dxx(x_coord, y_coord) + sol_dyy(x_coord, y_coord) + sol(x_coord, y_coord) + sol_dxy(x_coord, y_coord) + sol_dx(x_coord, y_coord) + sol_dy(x_coord, y_coord); } - memset(ctx->diff_coeffs[MG2D_DIFF_COEFF_00] + y * ctx->diff_coeffs_stride, 0, - sizeof(*ctx->diff_coeffs[0]) * ctx->domain_size); - memset(ctx->diff_coeffs[MG2D_DIFF_COEFF_01] + y * ctx->diff_coeffs_stride, 0, - sizeof(*ctx->diff_coeffs[0]) * ctx->domain_size); - memset(ctx->diff_coeffs[MG2D_DIFF_COEFF_10] + y * ctx->diff_coeffs_stride, 0, - sizeof(*ctx->diff_coeffs[0]) * ctx->domain_size); } ret = mg2d_solve(ctx); -- cgit v1.2.3