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basis - add CeedBasisApplyAddAtPoints + default impl
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,98 @@ | ||
| /// @file | ||
| /// Test polynomial interpolation transpose ApplyAdd from arbitrary points in 1D | ||
| /// \test Test polynomial interpolation transpose ApplyAdd from arbitrary points in 1D | ||
| #include <ceed.h> | ||
| #include <math.h> | ||
| #include <stdio.h> | ||
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| #define ALEN(a) (sizeof(a) / sizeof((a)[0])) | ||
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| static CeedScalar Eval(CeedScalar x, CeedInt n, const CeedScalar *c) { | ||
| CeedScalar y = c[n - 1]; | ||
| for (CeedInt i = n - 2; i >= 0; i--) y = y * x + c[i]; | ||
| return y; | ||
| } | ||
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| int main(int argc, char **argv) { | ||
| Ceed ceed; | ||
| CeedVector x, x_nodes, x_points, x_point, u, v, u_point, v_point; | ||
| CeedBasis basis_x, basis_u; | ||
| const CeedInt p = 5, q = 5, num_points = 4; | ||
| const CeedScalar c[4] = {1, 2, 3, 4}; // 1 + 2x + 3x^2 + ... | ||
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| CeedInit(argv[1], &ceed); | ||
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| CeedVectorCreate(ceed, 2, &x); | ||
| CeedVectorCreate(ceed, p, &x_nodes); | ||
| CeedVectorCreate(ceed, num_points, &x_points); | ||
| CeedVectorCreate(ceed, 1, &x_point); | ||
| CeedVectorCreate(ceed, p, &u); | ||
| CeedVectorCreate(ceed, num_points, &v); | ||
| CeedVectorCreate(ceed, p, &u_point); | ||
| CeedVectorCreate(ceed, 1, &v_point); | ||
| CeedVectorSetValue(v_point, 1.0); | ||
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| // Get nodal coordinates | ||
| CeedBasisCreateTensorH1Lagrange(ceed, 1, 1, 2, p, CEED_GAUSS_LOBATTO, &basis_x); | ||
| { | ||
| CeedScalar x_array[2]; | ||
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| for (CeedInt i = 0; i < 2; i++) x_array[i] = CeedIntPow(-1, i + 1); | ||
| CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); | ||
| } | ||
| CeedBasisApply(basis_x, 1, CEED_NOTRANSPOSE, CEED_EVAL_INTERP, x, x_nodes); | ||
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| // Set values of u at nodes | ||
| { | ||
| const CeedScalar *x_array; | ||
| CeedScalar u_array[p]; | ||
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| CeedVectorGetArrayRead(x_nodes, CEED_MEM_HOST, &x_array); | ||
| for (CeedInt i = 0; i < p; i++) u_array[i] = Eval(x_array[i], ALEN(c), c); | ||
| CeedVectorRestoreArrayRead(x_nodes, &x_array); | ||
| CeedVectorSetArray(u, CEED_MEM_HOST, CEED_COPY_VALUES, (CeedScalar *)&u_array); | ||
| } | ||
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| // Interpolate to arbitrary points | ||
| CeedBasisCreateTensorH1Lagrange(ceed, 1, 1, p, q, CEED_GAUSS, &basis_u); | ||
| { | ||
| CeedScalar x_array[4] = {-0.33, -0.65, 0.16, 0.99}; | ||
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| CeedVectorSetArray(x_points, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); | ||
| } | ||
| CeedBasisApplyAtPoints(basis_u, 1, &num_points, CEED_NOTRANSPOSE, CEED_EVAL_INTERP, x_points, u, v); | ||
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| for (CeedInt i = 0; i < num_points; i++) { | ||
| const CeedInt num_point[1] = {1}; | ||
| CeedScalar fx = 0.0; | ||
| const CeedScalar *x_array, *u_array, *v_array, *u_point_array; | ||
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| CeedVectorGetArrayRead(x_points, CEED_MEM_HOST, &x_array); | ||
| CeedVectorGetArrayRead(u, CEED_MEM_HOST, &u_array); | ||
| CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); | ||
| CeedVectorSetValue(x_point, x_array[i]); | ||
| CeedBasisApplyAtPoints(basis_u, 1, num_point, CEED_TRANSPOSE, CEED_EVAL_INTERP, x_point, v_point, u_point); | ||
| // Double it | ||
| CeedBasisApplyAddAtPoints(basis_u, 1, num_point, CEED_TRANSPOSE, CEED_EVAL_INTERP, x_point, v_point, u_point); | ||
| CeedVectorGetArrayRead(u_point, CEED_MEM_HOST, &u_point_array); | ||
| for (CeedInt j = 0; j < p; j++) fx += u_array[j] * u_point_array[j]; | ||
| if (fabs(v_array[i] * 2.0 - fx) > 100. * CEED_EPSILON) printf("%f != %f = f(%f)\n", v_array[i] * 2.0, fx, x_array[i]); | ||
| CeedVectorRestoreArrayRead(u_point, &u_point_array); | ||
| CeedVectorRestoreArrayRead(x_points, &x_array); | ||
| CeedVectorRestoreArrayRead(u, &u_array); | ||
| CeedVectorRestoreArrayRead(v, &v_array); | ||
| } | ||
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| CeedVectorDestroy(&x); | ||
| CeedVectorDestroy(&x_nodes); | ||
| CeedVectorDestroy(&x_points); | ||
| CeedVectorDestroy(&x_point); | ||
| CeedVectorDestroy(&u); | ||
| CeedVectorDestroy(&v); | ||
| CeedVectorDestroy(&u_point); | ||
| CeedVectorDestroy(&v_point); | ||
| CeedBasisDestroy(&basis_x); | ||
| CeedBasisDestroy(&basis_u); | ||
| CeedDestroy(&ceed); | ||
| return 0; | ||
| } |
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