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More unit test for series expansion

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This commit is contained in:
Dongryeol Lee
2007-09-09 23:00:07 +00:00
parent 19d9760aff
commit 154e2f1bc5
2 changed files with 21 additions and 39 deletions
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fastlib/u/dongryel/series_expansion/main.cc
+19 -27
View File
@@ -213,7 +213,6 @@ int TestTransLocalToLocal(const Matrix &data, const Vector &weights,
// declare expansion objects at (0,0) and other centers
SeriesExpansion se;
SeriesExpansion se_translated;
SeriesExpansion se_cmp;
// initialize expansion objects with respective centers and the bandwidth
// squared of 0.1
@@ -221,41 +220,34 @@ int TestTransLocalToLocal(const Matrix &data, const Vector &weights,
sea.get_max_total_num_coeffs(), 1);
se_translated.Init(SeriesExpansion::GAUSSIAN, SeriesExpansion::LOCAL,
new_center, sea.get_max_total_num_coeffs(), 1);
se_cmp.Init(SeriesExpansion::GAUSSIAN, SeriesExpansion::LOCAL,
new_center, sea.get_max_total_num_coeffs(), 1);
// compute up to 4-th order multivariate polynomial and translate it.
se.ComputeLocalCoeffs(data, weights, rows, 5, sea);
se.ComputeLocalCoeffs(data, weights, rows, 0, sea);
se_translated.TransLocalToLocal(se, sea);
// now compute the same thing at (1, -1) and compare
se_cmp.ComputeLocalCoeffs(data, weights, rows, 5, sea);
// print out the objects
se.PrintDebug(); // expansion at (0, 0)
se_translated.PrintDebug(); // expansion at (1, -1) translated from
se.PrintDebug(); // expansion at (4, 4)
se_translated.PrintDebug(); // expansion at (3.5, 3.5) translated from
// one above
se_cmp.PrintDebug(); // directly computed expansion at (1, -1)
// retrieve the coefficients of se_translated and se_cmp
Vector se_translated_coeffs;
Vector se_cmp_coeffs;
se_translated_coeffs.Alias(se_translated.get_coeffs());
se_cmp_coeffs.Alias(se_cmp.get_coeffs());
// evaluate the expansion
Vector evaluate_here;
evaluate_here.Init(2);
evaluate_here[0] = evaluate_here[1] = 3.75;
double original_sum = se.EvaluateLocalField(NULL, -1, &evaluate_here, &sea);
double translated_sum =
se_translated.EvaluateLocalField(NULL, -1, &evaluate_here, &sea);
// assert that se_translated and se_cmp have equal set of coefficients
// within 0.1 % error taking account the numerical errors
for(index_t i = 0; i < se_cmp_coeffs.length(); i++) {
if(fabs(se_translated_coeffs[i] - se_cmp_coeffs[i]) >
0.001 * fabs(se_cmp_coeffs[i])) {
printf("Differs by %g at position %d...\n",
fabs(se_translated_coeffs[i] - se_cmp_coeffs[i]) /
fabs(se_cmp_coeffs[i]), i);
return 0;
}
printf("Evaluating both expansions at (%g %g)...\n", evaluate_here[0],
evaluate_here[1]);
printf("Sum evaluated at the original local expansion: %g\n", original_sum);
printf("Sum evaluated at the translated local expansion: %g\n",
translated_sum);
if(fabs(original_sum - translated_sum) <= 0.001 * fabs(original_sum)) {
return 1;
}
return 1;
return 0;
}
int main(int argc, char *argv[]) {
fastlib/u/dongryel/series_expansion/series_expansion.cc
+2 -12
View File
@@ -336,7 +336,7 @@ void SeriesExpansion::PrintDebug(const char *name, FILE *stream) const {
fprintf(stream, "\n");
for (index_t i = 0; i < coeffs_.length(); i++) {
fprintf(stream, "%+3.3f ", coeffs_[i]);
fprintf(stream, "%g ", coeffs_[i]);
}
fprintf(stream, "\n");
}
@@ -550,21 +550,11 @@ void SeriesExpansion::TransLocalToLocal(const SeriesExpansion &se,
continue;
for(index_t l = 0; l < dim; l++) {
int start = beta_mapping[l];
int end = start - alpha_mapping[l];
diff1 *= pow(center_diff[l], tmp_storage[l]);
for(int diffprod = start; diffprod > end; diffprod--) {
diff1 *= diffprod;
}
}
/*
coeffs_[j] += prev_coeffs[k] * diff1 *
sea.get_n_multichoose_k_by_pos(k, j);
*/
coeffs_[j] += prev_coeffs[k] * diff1 * C_k[j];
} // end of k loop
} // end of j -loop
} // end of j loop
}