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/*
* Residual calculation template
* Copyright 2019 Anton Khirnov <anton@khirnov.net>
*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
#define JOIN2(a, b) a ## _ ## b
#define FUNC2(name, stencil) JOIN2(name, stencil)
#define FUNC(name) FUNC2(name, STENCIL)
static void
FUNC(derivatives_calc)(double *dst, const double *u, const double *fd_factors, ptrdiff_t stride)
{
dst[MG2D_DIFF_COEFF_00] = u[0];
{
double val = 0.0;
for (int i = -STENCIL; i <= STENCIL; i++)
val += fd_coeffs[STENCIL - 1][0][i + STENCIL] * u[i];
dst[MG2D_DIFF_COEFF_10] = val * fd_factors[MG2D_DIFF_COEFF_10];
}
{
double val = 0.0;
for (int i = -STENCIL; i <= STENCIL; i++)
val += fd_coeffs[STENCIL - 1][0][i + STENCIL] * u[i * stride];
dst[MG2D_DIFF_COEFF_01] = val * fd_factors[MG2D_DIFF_COEFF_01];
}
{
double val = 0.0;
for (int i = -STENCIL; i <= STENCIL; i++)
val += fd_coeffs[STENCIL - 1][1][i + STENCIL] * u[i];
dst[MG2D_DIFF_COEFF_20] = val * fd_factors[MG2D_DIFF_COEFF_20];
}
{
double val = 0.0;
for (int i = -STENCIL; i <= STENCIL; i++)
val += fd_coeffs[STENCIL - 1][1][i + STENCIL] * u[i * stride];
dst[MG2D_DIFF_COEFF_02] = val * fd_factors[MG2D_DIFF_COEFF_02];
}
{
double val = 0.0;
for (int j = -STENCIL; j <= STENCIL; j++) {
double tmp = 0.0;
for (int i = -STENCIL; i <= STENCIL; i++)
tmp += fd_coeffs[STENCIL - 1][0][i + STENCIL] * u[j * stride + i];
val += fd_coeffs[STENCIL - 1][0][j + STENCIL] * tmp;
}
dst[MG2D_DIFF_COEFF_11] = val * fd_factors[MG2D_DIFF_COEFF_11];
}
}
static void
FUNC(residual_calc_line)(size_t linesize, double *dst, double *dst_max,
ptrdiff_t stride, const double *u, const double *rhs,
const double * const diff_coeffs[MG2D_DIFF_COEFF_NB],
const double *fd_factors)
{
double res_max = 0.0, res_abs;
for (size_t i = 0; i < linesize; i++) {
double u_vals[MG2D_DIFF_COEFF_NB];
double res;
FUNC(derivatives_calc)(u_vals, u + i, fd_factors, stride);
res = -rhs[i];
for (int j = 0; j < ARRAY_ELEMS(u_vals); j++)
res += u_vals[j] * diff_coeffs[j][i];
dst[i] = res;
res_abs = fabs(res);
res_max = MAX(res_max, res_abs);
}
*dst_max = MAX(*dst_max, res_max);
}
#undef FUNC
#undef FUNC2
#undef JOIN2
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