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@@ -103,11 +103,16 @@ first_derivative(const Scalar* pencil, const Scalar inv_ds)
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#elif STENCIL_ORDER == 4
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const Scalar coefficients[] = {0, (Scalar)(2.0 / 3.0), (Scalar)(-1.0 / 12.0)};
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#elif STENCIL_ORDER == 6
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const Scalar coefficients[] = {0, (Scalar)(3.0 / 4.0), (Scalar)(-3.0 / 20.0),
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(Scalar)(1.0 / 60.0)};
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const Scalar coefficients[] = {
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0,
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(Scalar)(3.0 / 4.0),
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(Scalar)(-3.0 / 20.0),
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(Scalar)(1.0 / 60.0),
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};
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#elif STENCIL_ORDER == 8
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const Scalar coefficients[] = {0, (Scalar)(4.0 / 5.0), (Scalar)(-1.0 / 5.0),
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(Scalar)(4.0 / 105.0), (Scalar)(-1.0 / 280.0)};
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const Scalar coefficients[] = {
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0, (Scalar)(4.0 / 5.0), (Scalar)(-1.0 / 5.0), (Scalar)(4.0 / 105.0), (Scalar)(-1.0 / 280.0),
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};
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#endif
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#define MID (STENCIL_ORDER / 2)
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@@ -126,15 +131,23 @@ second_derivative(const Scalar* pencil, const Scalar inv_ds)
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#if STENCIL_ORDER == 2
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const Scalar coefficients[] = {-2, 1};
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#elif STENCIL_ORDER == 4
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const Scalar coefficients[] = {(Scalar)(-5.0 / 2.0), (Scalar)(4.0 / 3.0),
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(Scalar)(-1.0 / 12.0)};
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const Scalar coefficients[] = {
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(Scalar)(-5.0 / 2.0),
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(Scalar)(4.0 / 3.0),
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(Scalar)(-1.0 / 12.0),
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};
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#elif STENCIL_ORDER == 6
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const Scalar coefficients[] = {(Scalar)(-49.0 / 18.0), (Scalar)(3.0 / 2.0),
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(Scalar)(-3.0 / 20.0), (Scalar)(1.0 / 90.0)};
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const Scalar coefficients[] = {
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(Scalar)(-49.0 / 18.0),
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(Scalar)(3.0 / 2.0),
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(Scalar)(-3.0 / 20.0),
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(Scalar)(1.0 / 90.0),
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};
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#elif STENCIL_ORDER == 8
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const Scalar coefficients[] = {(Scalar)(-205.0 / 72.0), (Scalar)(8.0 / 5.0),
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(Scalar)(-1.0 / 5.0), (Scalar)(8.0 / 315.0),
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(Scalar)(-1.0 / 560.0)};
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const Scalar coefficients[] = {
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(Scalar)(-205.0 / 72.0), (Scalar)(8.0 / 5.0), (Scalar)(-1.0 / 5.0),
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(Scalar)(8.0 / 315.0), (Scalar)(-1.0 / 560.0),
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};
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#endif
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#define MID (STENCIL_ORDER / 2)
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@@ -156,16 +169,27 @@ cross_derivative(const Scalar* pencil_a, const Scalar* pencil_b, const Scalar in
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const Scalar coefficients[] = {0, (Scalar)(1.0 / 4.0)};
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#elif STENCIL_ORDER == 4
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const Scalar coefficients[] = {
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0, (Scalar)(1.0 / 32.0),
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(Scalar)(1.0 / 64.0)}; // TODO correct coefficients, these are just placeholders
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0,
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(Scalar)(1.0 / 32.0),
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(Scalar)(1.0 / 64.0),
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}; // TODO correct coefficients, these are just placeholders
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#elif STENCIL_ORDER == 6
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const Scalar fac = ((Scalar)(1. / 720.));
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const Scalar coefficients[] = {0 * fac, (Scalar)(270.0) * fac, (Scalar)(-27.0) * fac,
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(Scalar)(2.0) * fac};
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const Scalar coefficients[] = {
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0 * fac,
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(Scalar)(270.0) * fac,
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(Scalar)(-27.0) * fac,
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(Scalar)(2.0) * fac,
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};
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#elif STENCIL_ORDER == 8
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const Scalar fac = ((Scalar)(1. / 20160.));
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const Scalar coefficients[] = {0 * fac, (Scalar)(8064.) * fac, (Scalar)(-1008.) * fac,
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(Scalar)(128.) * fac, (Scalar)(-9.) * fac};
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const Scalar coefficients[] = {
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0 * fac,
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(Scalar)(8064.) * fac,
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(Scalar)(-1008.) * fac,
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(Scalar)(128.) * fac,
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(Scalar)(-9.) * fac,
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};
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#endif
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#define MID (STENCIL_ORDER / 2)
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@@ -207,14 +231,14 @@ derxy(const int i, const int j, const int k, const Scalar* arr)
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Scalar pencil_a[STENCIL_ORDER + 1];
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//#pragma unroll
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for (int offset = 0; offset < STENCIL_ORDER + 1; ++offset)
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pencil_a[offset] = arr[IDX(i + offset - STENCIL_ORDER / 2, j + offset - STENCIL_ORDER / 2,
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k)];
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pencil_a[offset] = arr[IDX(i + offset - STENCIL_ORDER / 2, //
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j + offset - STENCIL_ORDER / 2, k)];
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Scalar pencil_b[STENCIL_ORDER + 1];
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//#pragma unroll
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for (int offset = 0; offset < STENCIL_ORDER + 1; ++offset)
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pencil_b[offset] = arr[IDX(i + offset - STENCIL_ORDER / 2, j + STENCIL_ORDER / 2 - offset,
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k)];
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pencil_b[offset] = arr[IDX(i + offset - STENCIL_ORDER / 2, //
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j + STENCIL_ORDER / 2 - offset, k)];
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return cross_derivative(pencil_a, pencil_b, getReal(AC_inv_dsx), getReal(AC_inv_dsy));
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}
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@@ -539,7 +563,8 @@ gradient_of_divergence(const VectorData vec)
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return (Vector){
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hessian(vec.xdata).row[0][0] + hessian(vec.ydata).row[0][1] + hessian(vec.zdata).row[0][2],
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hessian(vec.xdata).row[1][0] + hessian(vec.ydata).row[1][1] + hessian(vec.zdata).row[1][2],
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hessian(vec.xdata).row[2][0] + hessian(vec.ydata).row[2][1] + hessian(vec.zdata).row[2][2]};
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hessian(vec.xdata).row[2][0] + hessian(vec.ydata).row[2][1] + hessian(vec.zdata).row[2][2],
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};
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}
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// Takes uu gradients and returns S
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@@ -805,10 +830,11 @@ forcing(int3 globalVertexIdx, Scalar dt)
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getInt(AC_ny) * getReal(AC_dsy),
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getInt(AC_nz) * getReal(AC_dsz)}; // source (origin)
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(void)a; // WARNING: not used
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Vector xx = (Vector){(globalVertexIdx.x - getInt(AC_nx_min)) * getReal(AC_dsx),
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(globalVertexIdx.y - getInt(AC_ny_min)) * getReal(AC_dsy),
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(globalVertexIdx.z - getInt(AC_nz_min)) *
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getReal(AC_dsz)}; // sink (current index)
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Vector xx = (Vector){
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(globalVertexIdx.x - getInt(AC_nx_min)) * getReal(AC_dsx),
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(globalVertexIdx.y - getInt(AC_ny_min)) * getReal(AC_dsy),
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(globalVertexIdx.z - getInt(AC_nz_min)) * getReal(AC_dsz),
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}; // sink (current index)
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const Scalar cs2 = getReal(AC_cs2_sound);
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const Scalar cs = sqrt(cs2);
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